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HYDRAULIC  MANUAL. 


PAET  I. 


OOHSmillO  OF 


WORKING    TABLES 


AHD 


EXPLANATORY  TEXT, 


IIimrDBD  AB  A 


GUIDE  IN  HYDRAULIC  CALCULATIONS 


AMD 


FIELD  OPERATIONS. 


*  *  •» 
••  • 


*  *^t  • » 


Lowis  D'A.  JACKso^;  •k-tdJ: 

AUTHOR  OP  "a   CURVlEtfPpal.'^;-'    .';    /';":  / 


"^ 


.\lDfA 


r 


LONDON: 
W.  H.  ALLEN  &  CO.,  18,  WATERLOO  PLACE,  S.W. 

1875-  Vr 

U 

[AU  righU  re$eTXtd.'\ 


■  * 


-•..n  v.: 


PREFACE  TO  THE  THIRD  EDITION. 


presenting  this  third  edition  to  the  public,  it  is  unfortunately  mj 
t  J  to  apologise  to  those  interested  in  the  work  for  the  delay  that 
s  taken  place  in  its  publication ;  this,  however,  has  been  due  to 
*camstances  over  which  I  discovered  eventually  that  I  had  but  little 
ntrol.  To  avoid  disappointing  the  public  generally,  and  prevent 
em  from  expecting  to  find  anything  in  this  book  that  is  not  in  it,  it 
necessary  to  state  the  intentions  and  scope  of  the  work. 
The  object  of  this  Manual  is  to  aid  the  hydraulic  engineer  in  his 
Iculations  by  means  of  a  collection  of  working  tables  based  on  the 
ost  improved  modem  principles,  and  by  a  small  amount  of  text 
itting  forth  these  principles  and  giving  ali  the  necessary  formuloD  in 
concise  manner ;  also  to  serve  as  a  gui^^'iii  %d[r^ulic/ field. gpera- 
3ns  by  giving  short  resumes  of  the  modes  si^opt^a  inT  th^-  flel4;'by 
le  engineers  whose  experiments  have  been/ jJ^JrtieuJ^lyreBainent'in 
roducing  practical  and  theoretical  results..  .;•.  //"  ';■•  -  %- 
A  few  miscellaneous  paragraphs  on  variomd  ^/imxiiiic  ^nhjiScts  are 
so  attached  with  the  hope  that  some  of  them  may  prove  or  interest, 
id  that  others  may  show  the  state  to  which  the  collective  experience 
'  the  past  has  arrived,  unsatisfactory  though  it  may  be  in  many 
stances. 

In  such  a  work,  which  is  necessarily  a  compilation,  the  principal 
)ject  has  been  to  avoid  as  mucli  as  possible  any  attempt  at  originality* 
liicli  might  defeat  the  object  of  the  Manual,  and  at  the  same  time  to 
icorporate  the  most  recent  information  in  the  form  most  convenient 
►r  practical  application,  while  not  neglecting  any  of  the  more  ancient 
it  still  useful  modes  and  formula*  of  calculation  that  have  not  yet 
Jen  suiKjrscdcd. 


IV 


The  works  principally  cousnlted,  and  from  which  extracts  and  infor- 
mation have  been  taken,  are — D'Aubuisson's  "  Hydraulics,"  D'Arcy 
and  Bazin*8  "  Becherches  Hydrauliques ;"  the  "  Cultur-Ing^nieur,'*  for 
1869  and  1870,  containing  the  valuable  articles  of  W.  R.  Kutter,  of 
Bern ;  Glanders  Tables,  constructed  on  the  system  of  Dupuit ;  the 
Mississippi  Report  of  Captains  Humphreys  and  Abbot;  the  Lowell 
experiments  by  Francis ;  the  "  Hydraulics  of  Great  Rivers,"  by  J.  T. 
Revy ;  also,  in  a  small  degree.  Box's  •*  Hydraulics,"  Neville's  well- 
known  work  on  the  same  subject,  Stoddard's  and  Dwyer's  works, 
Spon's  "  Dictionary  of  Engineering,"  Hurst's  Manual,  some  ancient 
numbers  of  various  periodicals  and  cyclopssdias,  and  some  articles  in 
the  Roorkee  professional  papers,  by  Colonel  Dickens,  Mr.  Burge,  and 
Mr.  J.  H.  E.  Hart 

In  addition,  my  thanks  are  especially  due  to  the  latter  grentleman, 
for  placing  at  my  disposal  his  valuable  MSS.  on  dams  and  walls,  and 
to  a  friend  for  his  on  towage. 

The  Second  Part  of  the  Manual,  annexed  to  the  first  in  accordance 
with  the  wishes  of  the  Secretary  of  State  for  India,  consists  entirely 
of  hydraulic  and  meteorological  statistics,  the  former  principally,  and 
the  latter  altogether,  Indian. 

The  hydraulic  statistics  may  be  useful  for  reference  in  connection 
with  works  of  irrigation,  storage,  and  river-improvement  in  any  part 
of  the  world,  but  more  especially  in  hot  climates.  It  has  not,  however, 
been  found  advisable  to  incorporate  with  them  any  statistics  of  irriga- 
tion suitable  to  England  or  to  cold  climates  generally,  because,  though 
the  irrigatipnistg  in'^^l^d  have  certainly  achieved  an  important 
su't^pia^iSi  flel^onSh^tifl^  unmistakeably  that  theirs  is  the  only  practical 
moafe*of  ^^alin5p.^tj§th;s«yrage,  and  are  likely  to  carry  out  such  matters 
on  a  more  fSX^utfei ^alp  ;  yet,  in  the  first  place,  this  system  of  sewage 
irrigatioi\-  4}tflre«;^  '^^tJjT.ftom  the  more  simple  watering  practised  in 
warm  countros  ;'and,  in  the  second  place,  the  experiments  and  results 
obtained  at  Croydon,  Barking,  Merth3rr  Tydvil,  Aldershot,  and  the 
few  other  places,  do  not  appear  to  admit  of  satisfactory  comparison, 
or  to  afford  a  guidance  useful  under  other  local  circumstances  and 
conditions,  either  as  regards  amount  or  intermittency  of  supply. 

Such  of  the  hydraulic  statistics  as  relate  to  India  were  mostly  col- 
'cted  by  myself  personally,  in  the  various  provinces  of  India  from  the 
ifferent  local  officials  and  Government  records,  and  reduced  to  their 
resent  shape.     These  cannot  be  expected  to  be  of  so  much  interest  to 
oigincers  of  exclusively  home  practice  as  to  those  of  more  extended  ex- 
perience ;  and  again,  the  results  shown  by  them  may  appear,  in  the  eyes 


br  mftny,  to  be  amajl  in  comparison  with  what  might  have  been  done 
in  Indift  nnder  a  more  favonrable  adminietratioa.     While  tbe  latter  is 
donbtless  tme,  its  connterpart  ia  no  less  so  ;  it  is  also  surprising  that 
so  much  has  been  done  under  such  extreme  administrative  and  finan- 
cial difficulties ;  in  fact,  there  is  every  reason  to  believe  that,  had  it 
not  been  for  the  energy   and  great  administrative   abilities  of  the 
Inepeetor  General  of  Irrigation,  General  Strachey,  all  irriga- 
m  works  in  India  would  probably  have  remained  at  a  stauilstill 
till  now,  and  perhaps  longer. 
.present,  the  older  canals  are  being  rectified,  and  new  works 
carried  out.     The  results  are  not  entirely  satisfactory  in  all 
is  it  possible  that  they  should  be ;  they  are,  however,  on 
lie,  extensive  resnlte,  showing  an  actual  and  a  progressive 
development  of  irrigation  not  esisting  in  any  other  conntry,  which 
have  not  hitherto  been  collected  and  impartially  set  forth  ia  a  form 
conveniently  for  reference.      In  the  present   edition,  some  modern 
additions,  relating  to  the  years  from  18/0  to  18~3,  have  been  made 
from  India  OfHce  records,  kindly  placed  at  the  disposal  of  the  author 
the  Under  Secretary  of  State  for  India.     Such  statistics  as  relat« 
England,  France,  Italy,  and  Spain  have,  in  every  case,  the  source 
im  which  they  were  taken  mentioned  with  them. 
In  all  of  them,  whether  tabular  or  in  the  form  of  brief  accounts, 
object  has  always  been  expressly  to  avoid  introducing  anything 
iply  because  it  might  be  of  interest,  and  to  limit  myself  to  simple 
Its  and  achieved  results  that  may  be  useful  to  engineers  for  refer- 
In  one  or  two  cases  rather  doubtful  statiitics  have  been  intro- 
to  wliich  foot-notea  are  attached  :  this,  however,  was  unavoid- 
nnder  the  circumstances  of  the   case,  which  were  particularly 
icnlt,  the  voluminous  records  of  India,  both  at  home  and  abroad, 
ng   generally   destitute  of  anything  approaching  to  a  catalogue 
raiaonnee,  although   filed    and  indexed,    according   to   certain   prin- 
ciples, with  extreme  care.     The  difficulties,  then,  had  to  be  overcome 
in  the  first  place  by  wading  through  an  immense  quantity  of  matter 
in  order  to  obtain  but  a  few  facts,  and  in  the  second  place  by  availing 
myself  of  the  kind  aid  of  several  officials,  which  materially  shortened 
fliat  labour:  to  these,  therefore,  and  more  especially  to  the  present 
Ftary  in  the  Geographical  Department  of  the  India  Office,  and  to  | 
'.  Maenamara,  of  Calcutta,  I  beg  to  offer  my  best  thanks. 
The  Indian  meteorological  statistics  here  given  were  also,  with  the 
rxcepfion  of  those  from  1871  to  1873,  collected  in  India  by  myself. 

Implied  bythejarioTis   meteorological  te^rtsTft,  wi^^g^ 


^Kftat  1 

^KSecrel 
^Dr.M 


VI 


wards  reduced  and  worked  into  the  present  form  as  most  suitable  for 
reference  for  engineering  purposes.  They  arc  the  first  general  collec- 
tion yet  made,  and  include  rainfall  statistics  of  all  India,  and  other 
meteorological  statistics  of  use  to  the  engineer.  For  the  principal 
portion  of  them  I  am  indebted  to  Mr.  Blanford  of  Calcutta,  Mr. 
Chambers  of  Bombay,  and  Dr.  Murray  Thompson  of  the  Panjab : 
those  for  the  Madras  Presidency,  excepting  the  older  rainfall  data, 
are  unfortunately  less  complete.  The  remarks  on  the  meteorology 
of  India,  drawn  up  by  myself,  are  offered  as  a  general  account  and 
explanation  of  the  meteoi;9logical  conditions  of  India  as  far  as  they 
are  at  present  known. 

With  regard  to  the  alterations  effected  in  this  edition,  tliey 
principally  consist  of  replacing  two  or  three  of  the  former  working 
tables  by  new  ones,  an3  adding  such  new  tables  as  the  modem 
system  of  Kutter  absolutely  requires :  the  appendix  of  miscellaneous 
tables  and  data,  which  are  taken  fi*om  various  works  and  other  sources, 
is  slightly  enlarged  ;  the  text  is  generally  re-written  or  re-arranged, 
some  additions  being  made  to  the  article  on  modules,  including  a 
description  of  a  new  module  of  the  author's.  The  hydraulic  statistics, 
as  well  as  the  Indian  meteorological  statistics,  have  been  increased 
by  all  such  matter  as  has  reference  to  data  available  only  since  the 
author's  departure  from  India  in  1872;  the  sole  matter  expunged 
being  the  description  of  the  author's  evnporameter. 

L.  D'A.  J. 

RoTAL  Ikstitution,  Albemarle  Street, 
1st  March,  1875. 


PART     I. 


TEXT. 

Chapteb  I. — ^Explanation  of  the  Pbinciples  and  Formulje  adopted 
IN  Calculation  and  applied  in  the  Working  Tables. 

Chaptib  II. — On  Field  Operations  and  Gauging;  with  brief  Ac- 
counts OF  the  Methods  adopted  by  various  Htdraulicians. 

Chaptsb  III. — ^Pabagrafhs  on  various  Hydraulic  Subjects. 


WORKING  TABLES. 


MISCELLANEOUS  TABLES. 


/ 


Y 


PART     I. 


CHAPTEE   I. 

ExpiaAI^ation  of  the  Principles  and  Fobmulje  adopted  in  Calculation 

AND  applied   in   THE   WORKINO  TABLES. 


1.  Hydrodjnamio  Theories.  2.  Notation  and  Symbols.  3.  Rainfall,  Supply, 
and  Flood  Discliarge.  4.  Storage.  5.  Discharges  of  Open  Channels 
and  Pipes.  6.  Section  of  Channels  and  Pipes.  7.  Other  Theories 
of  Flow.  8.  Velocities  in  Section.  9.  Bends  and  Obstructions. 
10.  Discharges  of  Sluices  and  Weirs.  11.  Discharge  from  Basins, 
Locks,  and  Reservoirs.    12.  Application  of  the  Working  Tables. 


1.   HYDRODYNAMIC  THEORIES. 

The  science  of  hydraulics,  yet  in  its  infancy,  may  be 
said  to  depend,  as  far  as  its  practical  application  by  the 
hydraulic  engineer  is  concerned,  on  a  combination  of  certain 
known  laws  with  the  empirical  results  of  observation  and 
experiment ;  the  former  few  in  number,  and  eliminated 
principally  by  the  philosophers  and  mathematicians  of  the 
past ;  the  latter  also  few,  and,  if  we  except  the  old  observa- 
tions which  were  carried  out  on  a  very  petty  and  limited 
scale,  exceedingly  mo*dern.  Previous  to  the  experiments 
of  d'Arcy  in  1856,  little  was  known  about  the  velocities 
and  discharges  through  pipes ;  until  the  operations  of 
Captains  Humphreys  and  Abbot  on  the  Mississippi  in  1858, 
the  discharge  of  large  rivers  was  a  comparatively  uaex- 


plored  subject;  in  1865  the  experiments  of  Bazin  led  the 
way  to  a  more  accurate  knowledge  of  the  discharges  and 
Velocities  of  open  channels.  Before  this  time  the  less  im- 
portant  subjects  alone  had  been  investigated  to  any  prac- 
tical purpose,  such  as  the  vena  contracta,  the  discharges 
through  small  orifices,  over  certain  forms  of  overfall,  and 
through  short  and  small  pipes,  the  discharges  from  reser- 
voirs, and  the  velocities  in  troughs  1 8  inches  wide.  There 
was,  however,  plenty  of  theory,  and  a  large  number  of 
formulae,  some  of  them  exceedingly  complicated  in  form, 
mostly  resulting  from  a  number  of  superimposed  theories, 
the  more  ancient  of  which  were  based  on  very  limited  ex- 
periments :  in  fact,  the  mode  often  adopted  seems  to  have 
been  to  assume  a  new  form  of  formula,  and  to  prove  it  by 
a  few  partial  experiments,  a  principle  worthy  of  ancient 
soothsayers,  and  which,  had  it  been  further  supported  by 
traditionary  and  name-reverencing  hydraulic  schools  of 
believers,  could  only  have  resulted  in  prolonged  and  per- 
manent error.  At  present  even,  a  reference  to  some  works 
comparatively  recently  published  in  England  will  show 
formulae  to  be  supported  by  a  most  heterogeneous  collec- 
tion of  experimental  data ;  discharges  of  pipes  irrespective 
of  their  material  or  internal  surface,  of  large  and  small  rivers 
irrespective  of  the  quality  of  their  beds  and  the  bends  in 
their  courses,  of  canals  in  any  material,  down  to  wooden 
troughs,  all  seem  to  prove  the  correctness  of  a  fixed  formula 
having  an  unvarying  constant  coeflBcient:  other  works 
again  having  greater  accuracy  of  result  in  view  go  to  the 
opposite  extreme  in  method,  and  recommend  the  adoption 
of  two  distinct  formula)  for  cases  in  which  the  principle 
involved  does  not  even  seem  to  vary  in  the  least,  as  for 
instance,  in  discharges  through  pipes  with  low  velocities,  a 
formula  distinct  from  that  for  those  with  high  velocities  is 
oflten  adopted ;  this,  amounting  to  a  method  of  successive 


approximation  imperfectly  worked  out,  is  almost  as  unfor- 
tuuate  as  the  other.  From  a  continuance  of  this,  however, 
the  modern  experiments  have  already  saved  us  to  a  great 
extent,  and  further  and  more  extended  experiment  will 
probably  relieve  us  from  it  altogether. 

At  present,  therefore,  the  hydraulic  engineer  is  more 
Icpendent  for  correctness  of  calculated  result  on  the  so- 
ijlled  empirical  data  obtained  by  experiment,  and  put  into 
couvenient  form,  than  on  any  purely  mathematical  theories 
I  ir  laws.  The  correct  application  of  all  known  mechanical 
liiws  cannot,  however,  fail  to  be  valuable  in  cases  admit- 
ting of  them  J  those  relating  purely  to  hydrodynamics  are 
■umparatively  few,  and  the  most  important  and  best  known 
nf  them  are  the  three  following: — 

First.  If  fluid  run  through  any  tube  of  variable  section 
kept  constantly  full,  the  velocities  at  the  different  sectit 
will  be  inversely  as  the  areas,  or 

AV  =  A'V. 
This  theory  of  uniformity  of  motion  is  in  practice  sup- 
posed to  hold  good  with  reference  to  mean  velocities  of 
dischai^e;  which  is  actually  little  more  than  assuming  a 
theoretical  velocity  that  will  fulfil  the  conditions  of  the 
law,  in  order  to  render  calculation  convenient.  There  is 
no  reason  to  believe  that  actual  velocities  in  a  tube  of 
variable  section  would  all  vary  inversely  with  the  area  of 
cross  section ;  hence  this  theory  is  not  one  that  throws 
any  light  on  the  laws  of  absolute  velocity. 

Second.  The  velocity  of  a  fluid  issuing  from  an  orifice 
in  the  bottom  of  a  vessel  kept  constantly  full,  is  equal  to 
that  which  a  heavy  body  would  acquire  in  faUing  through 
a  space  equal  to  the  depth  of  the  orifice  below  the  surface 
of  the  fluid,  which  is  called  the  head  on  the  orifice ;  or  by 
my  of  formula 

V   =   (2^  H)l 


ion^^ 


g  =  82-1695  (1  +  002  84  cos  2/)  (l  -  — ). 


6 

where  H  =  the  head,  and  g  =  force  of  gravity.  The 
quantity  g  represents  the  accelerating  force  of  gravity, 
which  varies  at  different  places  on  the  earth's  surface  and 
elevations  ahove  the  mean  sea  level,  and  is  also  affected  hy 
the  spherical  eccentricity  of  the  earth  at  the  place,  a  quan- 
tity that  again  varies  with  the  latitude ;  above  the  earth's 
surface  g  varies  inversely  with  the  square  of  the  distance 
from  the  earth's  centre,  below  the  earth's  surface  direct 
with  the  distance  from  the  earth's  centre  ;  to  obtain  the 
exact  value  of  y,  d'Aubuisson's  formulae  applied  to  English 
feet  are — 

r  =  20  887  540  (1  +  :001  64  cos  2/) 

2_^ 
r 

The  values  of  this  formula  for  different  latitudes  and  eleva- 
tions are  given  in  Working  Table  No.  I.,  and  the  values 
of  y,  obtained  from  observation  at  different  latitudes,  are 
given  in  Table  No.  I.  of  the  Hydraulic  Statistics.  For 
purposes  of  ordinary  calculation  in  England,  and  hence 
throughout  these  tables,  g  is  generally  taken  as  32*2  feet 
per  second  ;  in  India,  however,  it  would  be  more  correct 
to  use  32*1 ;  but  the  convenience  of  using  English  data 
will  probably  outweigh  that  of  this  exactness  until  the 
science  of  hydraulics  can  produce  far  more  accurate  results 
than  now. 

The  above  theory  supposes  that  the  orifice  is  indefinitely 
small,  neglects  the  conditions  and  size  of  its  sectional  area, 
friction,  the  pressure  of  the  atmosphere,  and  the  resistance  of 
the  air  to  motion,  which  increases  with  the  square  of  the 
velocity  of  the  issuing  fluid  ;  the  practical  application  that 
shows  its  discrepancies  most  strongly  is  the  fact  that  the 
height  of  a  jet  is  never  equal  to  the  head  of  pressure  on  it. 

Third,  The  theory  of  flow,  which  is  a  combination  of 
the  two  previous  theories  in  a  modified  form,  assuming 


both  uniform  motion  and  the  principle  of  gravitation,  and 
is  best  expressed  in  the  form  of  a  formula^ — 

where  V  =  the  mean  velocity  generated. 

E  =  mean  hydraulic  radius  of  the  water  section. 

S   =  the  sine  of  the  slope  of  the  water  surface. 
This  formula  is  a  simple  equation  of  the  accelerating  force 
of  gravity  down  an  incline  with  the  retarding  force  of 
friction  at  any  section  at  right  angles  to  the  course  of 
flow,  namely : — 


^s  =  ( 


since,  for  uniform  motion,  the  total  accelerating  force  is 
equal  to  the  total  resistance. 

This  theory  is  the  basis  of  calculation  of  flow  in  full 
tubes,  and  in  open  channels  and  unfilled  pipes,  where 
the  principle  still  holds,  though  the  equation  should 
be  strictly  modified,  the  air  above  giving  a  resistance  as 
well  as  the  surface  of  the  channel  or  tube  below,  though 
in  a  less  degree. 

However  rigid  these  theories  may  appear  in  neglecting 
important  points,  they  are  yet  generally  true  in  the  abstract, 
and  no  substitutes  for  them  have  yet  been  discovered  ;  the 
consequence  is  that  all  hydraulic  calculations  are  made  to 
depend  on  them,  their  defects  being  made  up  by  applying 
to  them  experimental  coefficients,  in  preference  to  endea- 
vouring to  obtain  theoretical  accuracy  by  introducing  into 
them  niceties  of  theory  that  might  fail  in  obtaining  trust- 
worthy results.  It  becomes,  therefore,  one  of  the  impor- 
tant duties  of  a  hydraulic  engineer  to  apply  these  partly 
empirical  formulae  with  care  and  circumspection,  especially 
guarding  against  t>aking  for  granted  the  formulae  and 
tabular  results  of  diflferent  calculators,  which  vary  in  form 
and  in  result  to  a  very  great  extent ;  some  authors  even 


8 

giving  one-third  more  discharge  than  others  as  dae  to  the 
same  data.  Daring  practical  work,  again,  time  forbids  a 
lengthy  examination  of  principles ;  for  this  reason,  there- 
fore, this  short  chapter  is  given  as  an  easy  guide  to  the 
proper  management  and  application  to  every-day  wants 
of  the  working  tables  attached,  which  are  based  on  the 
most  improved  modem  principles. 


2.   NOTATION  AND  SYMBOLS. 

To  ensure  clearness  and  rapidity  of  application  of  these 
theories,  it  is  absolutely  necessary  that  the  nomenclature 
should  be  neither  doubtful  nor  inconvenient,  that  the 
symbols  be  free  Irom  confusion,  and  the  units  of  time, 
weight,  and  measurement,  once  adopted,  generally  adhered 
to  as  much  as  possible ;  this  alone  can  cause  the  form  of 
a  formula  to  give  at  a  glance  any  definite  idea  of  the 
values  of  its  terms  and  expressions. 

The  English  foot  has  been  generally  adopted  in  this 
work  as  the  unit  of  length,  surface,  and  capacity,  being 
the  measure  ordinarily  used  for  heights  and  depths,  as 
well  as  distances  in  survey  work,  and  being  now  more 
capable  of  extended  application  than  either  the  yard,  link, 
or  inch ;  the  second  has  been  generally  taken  as  the  unit 
of  time,  so  that  the  numbers  expressing  discharges  and 
velocities,  which  often  are  high  numbers,  may  be  as  small 
as  possible.  This  has  been  found  to  be  perfectly  manage- 
able in  practice.  In  the  canal  departments  of  Northern 
India  the  engineers  have  succeeded  in  abolishing  chains, 
yards,  and  inches  from  their  plans,  estimates,  and  calcula- 
tions, and  in  adhering  generally  to  the  second  as  a  unit  of 
time ;  they  have  also,  on  the  Bari  Doab  Canal,  adopted  a 
mile  of  5000  feet  to  the  exclusion  of  the  statute  mile  of 


^^280.  This  decimal  system  of  measures,  while  retaining 
the  use  of  a  familiar  unit,  is  found  to  save  much  needless 
labour  in  calculation,  and  at  the  same  time  has  the  great 
advantage  of  facilitating  the  conversion  of  foreign  data 
and  formiiUe  ;  the  principal  difficulties  to  contend  with  are 
the  old  habits  of  measuring  water  supply  for  towns  in 
gallons  instead  of  cubic  feet,  and  of  using  dimensions  of 
pipes  in  inches,  instead  of  tenths  of  a  foot ;  these  obstacles 
MfiU  probably  gradually  disappear. 

As    regards   the  metrical  system,  although  it  is  now 

adopted  in  all  the  civilized  countries  in  Europe  except  our 

own,  there    seems   little   hope  of  its  replacing  our  own 

measures  to  the  entire  exclusion  of  them  for  some  time 

^Ljet ;  hence  it  would  not  have  been  an  advantage  to  have 

^BOonstructcd   the   accompanying    working    tables    on    the 

^Upaetrical  system,  nor  to  have  adopted  it  throughout  this 

^vwork  in  the  data  and  formulae ;  but  as  English  engineers 

^1  are  now  conversant  with  metrical  measures,  all  such  foreign 

fonnulEB  and  data  mentioned  are  generally  left  in  tlieir 

original  form,  their  conversion  not  serving  any  important 

purpose,  but  rather,  on  the  contrary,  causing  complication 

needlessly. 

Whether  the  decimal  metrical  system  will  hold  its  own 
for  a  very  long  time  is  yet  a  matter  of  considerable  doubt : 
the  number  ten  is  not  by  any  means  in  itself  a  convenient 

»  number  for  purposes  of  calculation,  it  is  neither  composed 
©f  a  large  number  of  factors,  and  hence  admitting  of  easy 
subdivision,  nor  are  its  roots  easily  obtained ;  its  use  in- 
volves the  necessity  of  referring  to  tables  of  logarithms  in 
the  greater  part  of  the  calculations  made  by  engineers 
and  scientific  men ;  its  sole  advantage  is  a  perfectly  for- 
tuitous one ;  it  was  chosen  in  ancient  times  as  the  first 
Biunber  to  be  represented  by  two  digits,  and  the  digital 
gTOnt^e  it  now  possesses  is  perhaps  its  only  one. 


10 

Should  in  the  future  any  new  notation  come  in  vog^e, 
which  would  readily  enable  the  calculator  to  dispense  with 
half  of  his  logarithmic  calculations,  the  advocates  of  the 
decimal  system  will  then  be  looked  upon  as  antiquated 
obstructors  of  progress. 

For  the  present,  however,  the  adoption  of  a  decimal 
system  seems  absolutely  inevitable,  although  it  seems 
doubtful  whether  the  English  will  first  adopt  one  based 
on  units  familiar  to  them,  or  will  change  at  once  to  the 
metrical  system  in  its  entirety. 

The  hydraulic  engineer  can,  however,  very  conveniently 
adopt  a  decimal  system  based  on  the  English  foot  rfor 
measures ;  nor  apparently  are  there  any  very  good  reasons 
why  the  railway  engineer  should  not  do  so  also,  except 
perhaps  the  tradition-loving  habits  of  the  multitude,  and 
the  meddlesome  legislation  in  social  matters  under  which 
we  suffer,  which  enforces  on  him  the  adoption  in  Parlia- 
mentary plans  of  the  whole  of  the  old  measures. 

The  advantage  of  adhering  to  one  set  of  symbols  in 
hydraulic  formulae,  which  sometimes  appears  very  compli- 
cated, is  sufficiently  evident ;  with  this  view,  therefore, 
the  following  general  notation  is  drawn  up,  and  the  velo- 
city notation  of  the  Mississippi  survey  also  attached  for 
purposes  of  reference. 

General  Notation. 

N  =  catchment  area  drained. 

Q   =  discharge ;  q  =  discharge  per  square  mile  drained. 

V   =  mean  velocity  of  discharge,  Vp  &c.,  other  velocities. 

V^=  maximum  velocity  in  the  cross  section. 

A  =  sectional  area ;  a,  a^,  a^,  subsidiary  areas. 

P   =z  wetted  sectional  perimeter. 

H  =  mean  head  or  fall ;  //,  h^,  //,,  subsidiary  heads. 


11 

A 
B  =  mean  hydraulic  radius  =  p 

A 

K^  =  prime  hydraulic  radius  =  p      ^ 

H 
S    =:  hydraulic  slope  in  terms  of  its  sine  =  7"> 

thus  S  =  g^  =  -002  for  a  slope  of  1  in  500. 

li   :r  a  longitudinal  length  taken  in  the  direction  of  flow ; 

/,  /j,  /,,  subsidiary  lengths. 
W  =  total  transversa  width,  across  the  direction  of  flow ; 

^>  ^v  ^v  subsidiary  transverse  widths. 
D  =z  depth  from  surface  level ;  d,  d^,  (/,,  subsidiary  depths. 
T    z=  total  time  of  discharge ;  /,  t^y  ^,,  subsidiary  times. 
/  =  experimental  coeflBcient  of  fluid  friction. 
n    =1  experimental  coefficient  for  drainage  discharges. 
c   =  experimental  coefficient  for  channel  discharges. 
m  =  experimental  coefficient  for  orifice  and  overfall  dis- 
charges. 
y  =  velocity  acquired  by  gravity  in  one  second  =  32*2 
feet  approximately. 
All  dimensions  are  generally  in  feet  and  decimals,  and 
velocities  and  discharges  are  in  feet  and  cubic  feet  per 
second. 


Velocity  Notation  of  the  Mississippi  Survey. 

v     =:  mean  velocity  of  the  river. 

V  =:  velocity   at  any   point   in   any   vertical  plane 

parallel  to  the  current. 

V  =  velocity  at  a  point  20  feet  below  the  surface  at 
a  perpendicular  distance  of  100  feet  from  the 
base  line. 


100  20 


12 

U     =  velocity  at  any  point  in  the  mean  of  all  vertical 

planes  parallel  to  the  current. 
U,;^  =  grand  mean  of  the  mean  velocities  in  all  vertical 

planes  parallel  to  the  current. 
U^    =  the  mean  of  the  bottom  velocities  in  all  such 

planes. 
1^  V     =  velocity  at  any  depth  below  the  surface  at  a  per- 

pendiciilar  distance  w^  firom  the  base  line. 
Vp    =  velocity   at   the  surface   in  any  vertical  plane 

parallel  to  the  current. 
V,  and  Vd  =  velocities  at  mid-depth  and  at  the  bottom 

in  any  such  plane. 
Yj  and  Y^^  =  the  maximum  and  the  mean  velocities 

in  any  such  plane. 


6    =  sectional  constant  = 


(R  +  1-5)*. 
/     =  length  of  a  portion  of  river. 
A    =  difference  of  level  of  the  water  surface  at  the  two 

ends  of  /. 
^^  s  the  part  of  /i  consumed  in  overcoming  longitudinal 

channel    resistances,    for    a    straight,    regular 

course. 
/i^^  zz  the  part  of  /i  consumed  in  overcoming  transverse 

channel  resistances  or  irregularities. 
W   =  river  width  at  any  given  place. 
w    =  perpendicular  distance  from  the  base  line  to  any 

point  of  the  water  surface. 
to^  =  perpendicular  distance  from  the  base  line  to  the 

surface  fillet  moving  with  the  maximum  velocity. 
D  =  total  depth  of  river  at  any  given  point  of  surface. 
d    =:  depth  of  any  given  point  below  the  surface. 


depth  from  the  surface  of  the  fillet  niovmg  with 
the  maximum  velocity  in  the  assumed  vertical 
plane  parallel  to  the  current. 

:  depth  from  the  surface  of  the  fillet  moving  with 
a  velocity  equal  to  the  mean  of  the  velocities 
of  all  fillets  in  the  assumed  vertical  plane 
parallel  to  the  current. 

:  maximum  or  mid-channel  depth. 


I 


3.   RAINFALI/,  SUPPLY.   AND   FLOOD-DISCBAROl 


4 


All  hydraulic  works  of  irrigation,  drainage,  stor^e, 
water  supply,  river  improvement,  and  Iund  reclamation, 
are  more  or  less  affected  by  the  amount  and  periodicity 
of  the  rainfall ;  for  many  of  them  careful  and  trust- 
worthy rainfall  statistics  and  data  are  absolutely  essential ; 
but  the  nature  and  amount  of  detail  required  vary  with 
the  nature  of  the  work ;  works  of  storage  being  those 
that,  perhaps,  require  the  greatest  amount  of  accurate 
information.  In  order  that  these  local  records  should  be 
sufficient  to  form  a  correct  basis  for  the  engineering  data 
of  these  latter  works,  they  should  comprise  observations 
extending  over  a  period  of  ten  years,  or  of  the  local  period 
comprehending  a  cycle  of  rainfall  from  one  season  of 
maximum  rainfall  to  another,  including  years  of  extreme 
drought ;  from  these  the  following  results  can  be  de- 
duced : — 

1 .  The  mean,  maximum,  and  minimum  monthly  rain- 
fall, from  which   the    mean    and    extreme  falls  for  each 

^  natural  local  season,  wet,  cold,  and  Itot,  can  be  obtained. 

2.  The  mean  and  maximum  daily  falls,  in  twenty-four 
lours  for  each  month. 


14 

3.  Special  occurrences,  hourly  fallB,  longest  continuous 
falls  and  droughts. 

These,  arrang^  in  a  convenient  tabular  form,  are  all 
tlie  rainfall  data  that  the  engineer  will  generally  require. 

In  most  cases,  also,  and  especially  in  hot  climates, 
evaporation  records  are  also  necessary;  and  sometimes, 
too,  it  is  advisable  to  possess  other  meteorological  data, 
such  as  those  of  humidity,  temperature,  atmospheric 
pressure,  and  wind ;  and,  what  is  often  difficult  to  pro- 
cure, some  data  of  absorption  and  percolation  that  would 
be  applicable  to  the  soils  of  the  district  under  con- 
sideration. 

On  many  of  the  works  before  mentioned,  the  first  duty 
of  the  engineer  is  to  account  for  the  whole  of  the  down- 
fall, or  to  discover  what  becomes  of  it  all,  under  both 
ordinary  and  unusual  circumstances,  so  that  he  may  be 
able  to  deal  with  more  certainty  of  knowledge  with  that 
portion  of  it  that  more  intimately  affects  his  works ;  as, 
for  instance,  the  bridge-builder  with  the  floods,  the 
engineer  of  storage  works  with  the  drought,  and  those  of 
canals  and  river  improvement  with  both.  A  geographical 
and  geological  knowledge  of  the  catchment  area,  whose 
rainfall  affects  the  works,  is  hence  also  needful ;  the 
boundaries  of  this  area,  its  lines  of  watershed  and 
drainage,  its  disposition  as  regards  prevailing  winds,  the 
nature  and  porosity  of  its  soil,  and  the  amount  of  vegeta- 
tion or  cultivation  on  it,  as  well  as  any  available  records 
from  which  the  quantities  of  water  actually  run  off  by  its 
streams  and  rivers  in  various  seasons  may  be  arrived  at, 
are  all  data  necessary  for.  establishing  satisfactorily  a 
perfect  knowledge  of  the  disposal  of  the  whole  of  the 
rainfall  under  any  circumstances. 

In  many  instances  it  is,  from  want  of  sufficient  informa- 
**on,  utterly  impossible  to  obtain  this  perfect  knowledge; 


I 


in  others,  the  deficient  data  may  be  supphcd  by  approxi- 
mations known  to  hold  good  in  other  similar  cases,  and  a 
tolerably  correct  approximate  balance  struck  between  the 
downfall  and  the  amount  evaporated,  absorbed,  and  run  off; 
in  any  case,  however,  the  engineer  may,  with  time  and 
means  at  his  disposal,  gauge  the  streams  and  rivers  affect- 
ing his  works,  and  make  correct  records  of  the  amount 
of  water  run  off  in  them  at  different  seasons  of  the  year, 
and  in  exceptional  floods.  Failing,  however,  both  time  and 
opportunity,  such  data  have  to  be  observed  in  a  rapid 
manner  that  will  enable  him  to  determine  tliis  approxi- 
mately ;  such  as  the  section  and  fall  of  the  rivers,  the 
depths  at  various  stages,  floodmarks,  and,  if  possible,  a 
few  velocity  observations,  The  results  principally  required 
are  the  flood  or  maximum  discharge,  in  cubic  feet  per 
second,  of  the  river  or  stream  draining  the  catchment  area ; 
its  mean  discharge  throughout  the  year  ;  and  its  minimum 
discharge  in  seasons  of  extreme  drought,  as  well  as  in  its 
ordinary  low  stage  ;  dividing  each  of  these  by  the  number 
of  square  miles  of  catchment,  similar  results  per  square 
mile  are  obtained,  which,  when  multiplied  by  I'lSl,  ex- 
^ptess  the  depth  in  feet  of  rainfall  run  ofl'  under  each  of 
those  conditions.  The  relation  between  these  quantities 
and  the  probable  or  approximate  downpour  over  the  catch- 
ment area  can  then  be  compared  with  those  known  to  exist 
in  other  similar  cases,  and  a  valuable  check  on  these  im- 
portant results  thus  obtained. 

Flood  Discharge. — The  determination  of  the  quantity  of 

water   discharged   from    a  catchment  area  in  a  river  or 

;ream  at  a  time  of  extreme  flood,  is  a  matter  that  is  very 

in  of  the    highest  importance.     Costly    bridges  have 

ifltinually    been    sacrificed,  and  long  lengths    of   canal 

damaged  for  want  of  sufficient  attention  having  been  paid 

to  this  subject. 


16 

When  the  data  mentioned  in  the  forgoing  paragraphs 
can  be  obtained,  and  are  properly  handled^  there  is  litQe 
difficulty  in  arriving  at  a  correct  result ;  but,  as  in  many 
cases,  only  some  of  these  are  forthcoming,  the  bases  of 
calculation  are  considerably  narrowed,  and  various  modes 
of  obtaining  a  result  necessarily  varying  with  the  avail- 
able, have  to  be  adopted. 

When  the  catchment  area  has  to  be  scaled  from  a  map, 
and  the  highest  maximum  rainfall  of  24  hours  has  to  be 
taken  from  observations  made  at  perhaps  only  one  or  two 
places  near  that  area,  the  flood  discharge  may  be  approxi- 
mately  obtained  by  the  equation,  ^ 

Q  =  «  X  27  v/NT 

where  Q  =  flood  discharge  in  cubic  feet  per  second. 
N  =  catchment  area  in  square  miles. 
«  =  a  local  coefficient  chosen  with  reference  to  the 
maximum  day's  rainfall  of  the  place. 
In  using  this  as  well  as  other  formulae  of  a  similar  type, 
records  of  flood  discharges  under  somewhat  similar  condi- 
tion are  necessary  for  reference,  in  order  that  a  practically 
correct  value  of  n  the  coefficient  may  be  assumed.     This 
formula,  which  was  originally  adopted  in  connection  with 
the  inconvenient  mode  of  estimating  discharges  in  cubic 
yards  per  second  or  per  hour,  has  very  little  to  recommend 
it,  the  values  of  n  being  necessarily  very  wide  in  range ; 
it  still,  however,  has  its  adherents. 

A  more  convenient  one,  having  a  narrower  and  more 
correct  range  of  coefficients,  is  the  following,  which  is  a 
slight  modification  of  that  of  Colonel  Dickens,  having  a 
more  extended  application.     It  is 

Q   =   ;«    X    100  (N)f, 


its  terms  are  generally  similar  to  those  of  the  last 
,iUa.  The  values  of  n  for  India,  generally  lie  between 
id  24  ;  see  coefficients  at  Table  XIT.,  Part  2,  page  ]xx 
the  Working  Tables ; — some  further  values  of  it  appK- 
lle  to  various  river  basins  in  India,  are  also  given  in  the 
les  of  flood  discharges  at  page  [8]  of  the  Hydraulic 
lintics  in  the  second  part  of  this  Manual.  The  values 
the  general  expression,  for  a  value  of  m  =  1,  are 
'en  for  catchment  areas  of  various  sizes  at  pages  ix. 
Id  X.  of  the  Working  Tables,  Table  TV.,  Part  1,  and 
the  chosen  coefficient  can  be  readily  applied  to  these 
qnantities. 

The  original  form  of  this  formula  was  simply  Q  =  825 

(N)';  it  was  considered  applicable  only  to  Bengal  aud  Bahar 

in  the  flrst  instance,  and  afterwards  as  applicable  to  all  areas 

in  the  plains  of  India  that  have  an  annaal  rainfall  of  from 

24  to  50  inches.     It  seems,  however,  more  rational  to  us© 

a  variable  coefficient  depending  on  a  similarity  of  general 

conditions,    of  which  the   maximum  day's    downpour  ia 

perliaps  the  most  important.     In  Northern  India  where 

'his  latter  is  about  1*5  feet  in  or  near  hiUs,  and  10  foot 

^juthe  plains,  the  flood  waterway  allowed  for  bridges  has 

^hnerally  been    based  on  the  as.s«mption  that  the  rain- 

^Hl  ran  off  would  amount  to  1  0  foot  in  depth  over  the 

^wiole ;  and  allowance  has  been  made  with  these  data  for 

^Bte  flood  waterway  of  the    streams    and  rivers  crossing 

ooth  the  Ganges  Canal  and  the  Sarhind  Canal ;  in  other 

■■utes,  also,  in  Korthern  India,  two-thirds  of  the  depth  of 

'I'jwnpour  is  assumed  to  pass  ofi'  in  flood.     It  is,  however, 

''letter  to  use  the   improved  formula  given  and  assume 

■1  coefficient  suitable  to  similar  conditions  of  catchment 


A  further  attempt  at  arriving  at  a  flood  discharge  by 
Scans  of  a  formula  has  been  made  by  Mr.  Burge,  Eesi- 


18 

dent  Engineer   of  the  Madras   Railway.     His  formdi 
given  in  the  Indian  Professional  Papers  is  j 

Q  =  1300  ^ 

where  Q  and  N  are  as  before^  L  =  the  length  of  the  main 
river  in  miles,  and  1300   is  a  coefficient  applicable  to  8 
maximum  downfall  of  6  inches  in  12  hoars,  and  an  aiea 
elevated  from  500  to  1300  feet  above  mean  sea  level,  con- 
sisting principally  of  unstratified  rocks.     It  was  deduced 
from  observations  on  27  bridges,  of  above  80  feet  span,  on 
the  Madras  Eailway,  and  its  results  correspond  closely 
with  those  of  recorded  flood  sections ;  the  errors  lying 
between  404  feet  too  high  and  3'40  too  low  in  height  of 
section.     He  argues  most  justly  that  the  length  of  the 
river  necessarily  extends  the  time  of  the  discharge,  and 
hence  diminishes  the  quantity  passing  off  within  a  certain 
time  ;  and  that  also  the  functions  of  discharge,  the  hydrau- 
lic slope,  the  cross  section,  and  the  head  affected  by  the 
sinuosities  in  greater  length,  are  reduced  by  it.    Admitting 
this,  the  same  principle  would  apply  not  only  to  the  mam 
river,  but  also  to  its  tributaries ;  the  number  and  condi- 
tions of  the  tributaries  would  probably  be  a  more  important 
consideration.    Again,  there  is  much  difficulty  in  saying 
where  a  main  river  begins  ;  so  much  so,  that  in  the  first 
place  the  introduction  of  an  index  of  f  against  a  coefficient 
of  1300  would  appear  to  be  a  needless  attempt  at  exacti- 
tude;   and  in  the  second  place  the  introduction  of  the 
length  of  the  river  at  all  in  an  equation  of  this  sort  is  a 
matter  incapable  of  very  extended  application ;  although 
in  the  instances  from  which  this  formula  was  laid  down  it 
has  been  very  successfully  introduced. 

A  better  mode  of  introducing  a  function  somewhat 
similar  to  this  would  be  to  apply  in  the  equation  the 
ratio  of  extreme  breadth  to  extreme  length  of  catchment 


19 

;    we    have  already  a  formula,  the  range  of  wh( 
icients  for  ludia  seem  to  be  between  1  and  24 — an 

ortant  step  already  gained  ;  and  if  this  is  modified  into 

form, 

B 


Q: 


'  100  (N)J, 


B  =:  extreme  breadth  of  catchment  area, 
L  =  extreme  length  of  catchment  area, 
»^  =  a  new  coefficient, 
btain  a  more  tangible  improvement,  capable  of  extended 
ication.  It  is  unfortunate,  however,  that  for  this 
IxJa  a  sufficient  number  of  values  of  the  new  co- 
lent  are  not  yet  forthcoming  ;  although  in  the  instances 
rhicb  it  has  been  applied  the  improvement  seems 
riy  manifested  in  reducing  the  range,  so  that  for  the 
ent  it  is,  perhaps,  generally  better  to  use  that  from 
sh  it  is  modified,  while  in  special  cases  the  ratio  can 
ttsily  introduced. 

ailing,  however,  such  data  as  would  be  needful  to 
le  one  to  choose  a  practically  correct  coefficient  for 
lulfie  of  this  type,  it  becomes  necessary  to  fall  hack 
!Bly  on  recorded  flood  marks,  as  a  means  of  approxi- 
ing  to  the  flood  discharge ;  and  after  gauging  the 
iacharge  of  the  river  in  its  ordinary  stage,  assume  the 
discharge  to  be  proportional  to  it  according  to  the 
formula, 

q  _  An/K 

I  A  is  the  sectional  area  up  to  flood  mark,  li  : 
»uUc  mean  radius,  and  a  and  r  are  similar  quantitiei 
Kiuding  to  the  discharge  (y)  determined  by  obserJ 


20 


4.  STORAGE. 

Reservoirs  generally  have  for  their  object  either  the  de- 
tention of  flood  water  that  might  otherwise  cause  damage, 
as  in  works  of  river  improvement,  or  the  utilization  of  it 
in  canals,  of  navigation,  irrigation,  or  driving  machinery, 
or  for  town  supply.     For  the  first  purpose  they  must,  to 
effect  their  purpose,  be  very  extensive,  and  strongly  aided 
by  the  natural  formation  of  the  country ;  for  the  last  pur- 
pose they   are,   in   one    respect,   excepting    under  very 
favourable  conditions,  particularly  ill-fitted.  The  collection 
of  drinking-water  from  the  surface  of  land  needs,  in  the 
first  place,  a  clean,  uncultivated  and  uninhabited  tract  of 
land  as  a  catchment  area;  and  in  the  second  place,  the 
water  stored  in  the  reservoir,  which  is  liable  to  become 
putrescent,  or  seriously  affected  by  the  organisms,  plants, 
and  animalculsD  that  inhabit  stagnant  water,  requires  a 
very  perfect  and  careful  filtration,  of  a  sort  beyond  the 
ordinary  economic  powers  of  municipalities  or  public  com- 
panies.    Indeed  it  is  now  asserted  to  be  an  uncontro- 
vertible fact,  tlmt  it  is  to  the  tainted  water  of  rivers  and 
reservoirs  that  one-half  of  most  preventibie  diseases  are 
due,  the  other  half  being  caused  by  want  of  ventilation, 
faulty  drainage,  and  mistaken  modes  of  managing  sewage, 
or,  in  other  words,  that  impure  air  and  tainted  water  are 
the  chief  enemies  of  human  life ;  and  there  is,  therefore, 
every   reason   to   believe  that  in  the  future,  when   the 
general  public  become  awake  to  this,  and  acquire  enough 
energy  to  throw  of  the  incubus  of  vested  interests  in  the 
form  of  water  companies,  both  tainted  rivers  and  open 
reservoirs  will  be  universally  condemned   as   sources  of 
drinking-water  supply,  and  the  water  filtered,  stored,  and 
preserved  against  impurity  by  nature  in  the  permeable 


;ta  or  the  earth,  will  he  dravm  on  in  a  more  scientific 
id  enlightened  way  than  is  at  present  usual,  and  be 
isidered,  as  it  justly  is,  a  necessary  of  life.  Another 
irttr  of  a  centmy  may  show  us  scientific  men  object- 
on  sanitary  grounds,  to  the  watering  of  our  streets 
ith  such  water  as  is  now  used  in  our  food.  It  will 
fore  be  only  under  very  favourable  conditions,  or 
ider  circumstances  that  admit  of  no  better  alternative, 
it  the  water  of  storage  reservoirs  will  be  used  to 
k-  For  extinguishing  fires,  watering  streets,  and 
ly  other  purposes,  such  water  is,  however,  still  valu- 
le  under  ordinary  circumstances. 

The   determination  of  the    size  and  dimensions  of  a 
■age  reservoir  is  a  matter  entirely  governed  by  local 
lumstances  and  requirements.     The  assumptions  that 
area  covered  by  it  should  bear  a  certain  proportion  to 
it  of  the  catchment  area,  or  that  the  amount  of  water 
ired  should  be  as  nearly  as  possible  one-third  of  the 
railable  supply,  are  not  by  any  means  rules  to  be  applied 
ihout  a  very  large  discretionary  power,  although  there 
rules  laid  down  in  various  forms  by  different  hydraulic 
(gineers  that  very  much  resemble    these.     The  object 
being  the  collection  and  retention  of  a  certain  amount  of 
water  for  a  definite  purpose,  and  the  circumstances  being 
tlie   local  formation  of  the  ground  and  the  amount   of 
downpour  on  the  catchment  area,  all  the  economic  con- 
siderations depend  on  these  points. 

The  intention  may  either  be  to  store  as  much  water  as 
possible  within  a  certain  amount  of  expenditure  of  cost, 
only  a  definite  amount  sufficient  for  a  certain  purpose, 
to  store  all  that  can  possibly  be  obtained  with  a  inow- 
ledge  that  the  extreme  amount  would  not  lie  enough, 
Again,  in  one  case,  the  quality  of  the  water  and  the  con- 
venience of  proximity,  or  of  cleanliness  of  site,  may  be 


22 

considerations  outweigliing  all  others.  If,  therefore,  the 
latter  is  the  case,  there  are  geuerallj  not  many  local  con* 
ditions  answering  the  purpose  within  which  any  choice  can 
be  made  ;  and  again,  if  a  definite  amount  be  required,  the 
same  may  be  generally  said.  It  is  only  therefore  in  the 
case  when  the  object  is  to  store  and  utilise  as  much  water 
as  possible  that  much  choice  is  left  to  the  engineer. 

Large  artificial  reservoirs  being  generally  made  on  the 
natural  surface  of  the  ground,  and  bounded  in  one  direc- 
tion only  by  an  embankment  of  earth,  or  a  dam  of 
masonry  or  brickwork,  the  first  object  is  to  choose  a 
site  or  sites  where  the  greatest  amount  of  water  can  be 
stored  with  the  shortest  and  least  amount  and  length  of 
embankment ;  for  this  purpose  a  river  gorge,  narrow  and 
precipitous,  terminating  a  great  length  of  country,  having 
a  gradual  fall  towards  it,  offers  the  best  ordinarily  natural 
conditions  ;  if,  in  addition,  the  lateral  or  transverse  slope 
of  the  country  is  also  very  gradual,  it  becomes  a  large 
natural  basin,  with  one  narrow  outlet ;  and  if  that  admits 
of  being  easily  dammed,  an  extraordinary  advantage  not 
often  available  presents  itself. 

The  economy  of  constructing  one  large  reservoir  in 
preference  to  two  or  more  small  ones  to  hold  the  same 
amount  would,  perhaps,  be  evident  at  first  sight  to  most 
people.  Tlie  author  has,  however,  met  so  large  a  number 
of  persons  that  believe  the  contrary,  that  he  is  constrained 
•  to  give  the  following  mathematical  proof  of  it  by  Graeff*. 

Let  a  single  reservoir,  or  rather  its  contents  when  full, 
be  supposed  to  consist  of  a  number  of  lamina?,  or  layers  of 
water,  the  sum  of  which  will  equal  the  total  content,  and  let 

K  =  the  height  of  any  one  layer ; 

P  and  S  =  the  perimeter  and  surface  of  its  lower  side ; 

P'  and  S'  =  the  perimeter  and  surface  of  its  upper  side ; 
len  the  volume  of  this  layer  will  be 


23 
=  a  JsL  +  -   -  +  — —  ;  where  a  =  S ; 

,       2P(S>.).  ^  ^  (Sl-ifl  (Pl-Z) . 
""  KCP'+P)'  '^""      K^P'+P)     ' 

Hence  the  above  expression  becomes 

=  3(j^p^  (p.  2ST^  +  F2S  +  S'). 

In  the  case  where  the  lateral  and  longitudinal  slopes  of 
the  ground  are  uniform,  we  can  imagine  the  reservoir  to 
consist  of  one  only  of  tliese  layers ;  and  its  content  will 
then  represent  that  of  the  whole  reservoir.  In  this  case 
the  height  of  the  layer  will  be  the  extreme  depth  of 
water  stored,  and  the  quantities  S  and  P  will  become 
indefinitely  small  in  comparison  with  S'  and  P',  and  may 
hence  be  neglected :    hence   the  total  volume  of  water 

stored  =  -5-  ,  and  this  is  the  volume  of  a  reversed  cone 

having  S'  for  its  base ;  a  demonstration  that  proves  how 
rapidly  the  amount  of  storage  increases  with  the  depth 
of  water,  or  with  the  height  of  the  embankment. 

To  the  height  of  dams,  again,  there  is  a  practical  limit : 
earthen  dams  of  great  height  require  an  enormous  section, 
being  consequently  very  costly  as  well  as  dangerous, 
and  are  in  themselves  difficult  to  manage  as  regards 
escape ;  masonry  dams  have  a  limit  to  their  height,  due 
to  the  pressure  per  unit  of  surface  on  the  foundation ; 
the  highest  yet  built  does  not  exceed  164  feet,  and  it  is 
very  improbable  that  that  height  will  be  exceeded  for 
some  time  to  come,  unless  iron  is  made  to  enter  largely 
into  their  construction. 

After  choosing  a  site  for  a  proposed  reservoir,  one  of 
the  first  points  requiring  attention  is  the  determination 


24  I 

of  its  storage  capacity  up  to  different  proposed  levels  of  I 
escape.     For  this  purpose,  marks  are  fixed  at  differences  I 
of  level  of  about  6  or  10  feet,  on  any  convenient  short  I 
line  of  its  section ;  and  the  contours  of  these  levels  marked  1 
out  and  surveyed  all  around  the  basin,  in  order  to  obtain  | 
the  perimeters  and  areas  at  each  contour,  from  which,  as  I 
before  shown,  the  contents  of  each  lamina  can  be  calcu-  j 
lated,   and  the   content   up  to  any  other  contour.     If,   | 
however,  it  be  preferred  to  obtain  this  by  means  of  a 
series  of  longitudinal  and  transverse  sections  taken  up 
to  the  heights  of  the  various  contour  levels,  it  is  perhaps 
best  to  direct  the  former  in  conformity  with  the  axis  or 
axes  of  figure  of  the  basin,  and  the  transverse  sections  at 
right  angles  to  them,  and,  as  far  as  possible,  at  equal 
distances  along  them ;  although  in  many  instances,  un- 
equal distances  and  inclined  directions,   more  suited  to 
the  form  and  disposition  of  the  ground,  would  give  more 
correct  results ;    and  the  inclined  sectional  areas,   when 
multiplied  by  the  cosine  of  the  angle  of  obliquity,  are 
easily  reduced  to  the  true  values  of  their  corresponding 
rectangular  transverse  sections.     Should  a  winding  river 
channel  or  depression  form  part  of  the  basin,  it  is  often 
more    convenient    and    correct    to   estimate  its    content 
independently,  and  add  it  in  afterwards. 

The  following   are   the   three  formulae   most   used  in 
obtaining  the  contents  from  the  sectional  areas  : — 

1.  If  there  be  only  two  sectional  areas,  Aj,  A,,  taken  at 
a  time,  at  a  common  distance,  rf, 

the  contents  =  o  (-^i  "^  ^^'  ^^  "  3  ^^i  +  A,  +  ^ K^  A,).^ 

2.  If  there  be  three  equidistant  sections,  Aj,  A,,  A3, 

taken  at  a  time,  and  their  common  distance  is  d^ 

d 
the  contents  =  g  (Aj  -f  4  A,  +  A3,)  prismoidal. 


R  Tf  there  te  any  even  number   (a)   of  eqiilclistant 
tions,  A,,  A,,  &c.,  up  to  A„,  at  a  common  distance,  d, 

»  contents  =  rf(^'  +  A,  +  &c.  A„  -  1  +^)- 


[08^^ 


;  accuracy  of  result  wiU  of  course  depend  on  the  cl< 
i  of  the  sections,  and  the  suitability  of  their  positions 
■  the  general  form  of  the_re8ervoir. 

■The  capacity  of  the  reservoir  being  obtained,  the 
pount  of  supply  that  can  be  expected  anuually  from 
catchment  area  may  be  obtained,  either  in  total 
ntities  or  in  continuous  qiuintities  as  cubic  feet  per 
lond,  by  the  aid  of  Parts  1  and  2  of  Table  II.  of  the 
forking  Tables ;  in  these  calculations  much  labor  is 
(red  by  deducting,  in  the  first  place,  the  allowance  due 
evaporation  and  absorption  on  the  catchment  area 
from  tlie  rainfall  given,  and  making  use  of  the  available 
rainfall  or  rainfall  run  off  as  the  basis  of  calculation  for 
supply. 

I  If  a  limited  supply  alone  be  required,  the  use  of 
^Kart  1,  Table  III.  of  the  Working  Tables,  will  enable 
^^Bie  contents  of  the  reservoir,  and  extent  of  catchment 
^^Dfea  necessary  to  afford  the  supply  to  be  rapidly  deter- 

niined.     Part   2,    Table    III.,  may  also  be    occasionally 
useful,  where  the  supply  is  limited  by  the  needs  of  an 

*teut  of    land  to  be  irrigated,    or  the  population    of  a 
wn  requiring  water  for  public  purposes. 
The  section  of  waterway    of  escape    has   next    to    be 
determined ;  this  depending  on  the  flood  discharge  and 

II  the  maximum  downpour  in  twenty-four  hours.  In  these 
^Bttlculatious,  Part  3,  Table  II.  of  the  Working  Tables  is 
^HBefal;  80  also  are  Parts  1  and  2,  of  Table  IV.,  in  cou- 
i^nection  with  the  formula  already  given  for  flood  dis- 
charge. 

-The  reduction  or  conversion  of  discharges  or  sup] 


'pai 


into  citlior  l(»tal  or  crmtiniious  quantities  for  various 
ijit(*rvals  of  time,  can  be  raj)i(lly  effected  b}'  the  aid  of 
tlio  Table  of  Equivalents,  Table  XI.,  Parts  1  and  2 ;  and 
tlieir  conversion  into  other  measures,  English  or  metrical, 
may  be  facilitated  by  the  use  of  Parts  5  and  6  of  the 
same  table. 

All  these  are  of  course  simply  modes  of  calculatingi 
or  of  shortening  the   calculation,  of  the   quantities  of 
water ;  the  determination  of  them  has  to  be  left  to  the 
discretion  of  the  engineer  and  the  requirements  of  the 
case.     Should  the  supply  be  required  to  maintain  a  certaia 
depth  of  water  for  navigation  in  a  canal,  the  seasons, 
the  supply  deficient,  the  loss  in  the  canals  from  evapo- 
ration and  filtration,  and  all   such  data,  will  determine 
the  amount ; — if  for  irrigation,  the  amount  of  land,  its 
quality  of  soil,  and  probable  water  duty ;  on  this  latter 
subject  information  is  given  in  Chapter  III.  and  in  the 
Hydraulic  Statistics,  in  Part  2  of  this  Manual,  where 
data  of  the  waterings  and  water  duty  usual  in  Prance, 
Spain,   Italy,   and  Northern   and    Southern    India,    are 
given. 

If,  again,  the  supply  is  required  either  for  motive 
power  or  the  public  purposes  of  town  supply,  the  amount 
and  height  of  delivery  require  determining  with  reference 
to  local  conditions ;  with  reference  to  this,  therefore,  no 
guide  would  be  of  use.  Lastly,  if  the  object  is  the 
control  of  floods,  the  whole  of  the  physical  conditions 
of  the  river  and  its  banks,  from  its  highest  watershed 
down  to  its  mouth  or  embouchure  in  the  sea,  will  be 
matters  affecting  the  amount,  and  the  management  and 
regulation  of  the  storage. 


'  DISCHARGES    OF    HrTERS,    OPEPT    CHAIOreLS, 
PIPES. 


^ 


^^we  described    in    the   cliapter   on    field    operations   and 

^^■D^Dg.     The  calculation  of  velocity  or  of  discharges, 

^^Hader  diiferent  conditions  and  for  different  diita,  may  be 

^^Btmsidered  independently  of  gauging.      It  is  important 

^^B  the  engineer  that  lie  shonld  at  any  time  be  able  to 

^HUcolate,  in  a  few  moments,  the  discliarge  of  any  pipe, 

^r  river,  or  canal,  from  such  data  as  he  may  possess. 

B        The  number  of  calculated  velocity  formula",  their  variety, 

.iiul  the  wonderful  amount  of  complication  in  them,  as  well 

I-  the  want  of  exactitude  of  result  they  give,  is  truly 

iistonishing ;  and  when,  on  the  other  band,  one  observes 

some  engineers  adhering  slavishly  to  the  tables  and  data 

of  one  hydraulician,  others  to  those  of  another,  and  others 

again  going  through  the  conscientious,  but  very  lengthy, 

coarse  of  examining  everjiibing  that  every  hydraulician 

has  said  or  done  in  the   matter  of  calculation  of  mean 

velocity  of  discharge,  one  cannot  but  feel  pained  as  well 

as  surprised. 

It  would  be  quite  out  of  place  in  this  portion  of  a 
Manual  of  this  description,  which  has  for  its  object  the 
supplying  the  engineer  with  information  and  tables  for 
calculating  his  quantities  and  data  in  as  rapid  a  way  as 
practical  correctness  will  allow,  to  enter  into  a  detailed 
investigation  of  all  these  formiUie,  and  the  reasons  for 
setting  them  all  aside,  and  adhering  to  that  adopted  in 
preference,  and  to  the  exclusion  of  all  others ;  it  will, 
therefore,  suffice  for  the  author  here  to  mention  the  reason 
for  adopting  any  one  formula  or  conclusion  as  it  is 
brought  forward.     A  comparison  of  the  results  of  various 


28 

hydrodynamic  formulae,  will  be  given  in  Chapter  IH, 
among  the  miscellaneous  detached  paragraphs. 

The  general  formula  for  discharge,  based  on  the  theories 
mentioned  in  the  previous  sections  of  this  chapter,  is 

Q  =  AV  =  A(/yES)*, 

the  terms  of  which  are  given  in  the  general  notatioiii 
page  10  ;  the  mean  velocity  of  discharge  being  the 
smaller  and  more  convenient  quantity  to  deal  with,  for 
rivers  and  open  channels,  and  the  discharge  itself  being 
the  quantity  more  often  required  for  pipes,  sewers,  and 
closed  tubes  or  tunnels  of  all  sorts. 

Taking,  however,  the  expression  for  mean  velocity  of 
discharge,  obtained  by  equating  the  accelerating  effect  of 
gravity  down  an  inclined  plane  with  the  retarding  effect 
of  friction,  it  can  be  put  into  the  form  more  convenient 
for  English  measures — 

V  =  (?  X  100  (ES)*, 

where  c  is  a  variable  experimental  coeflftcient,  depending 
on  the  surface,  the  condition,  the  dimensions,  and  the 
hydraulic  slope  of  the  channel  or  pipe,  and  hence  on  a 
further  experimental  coefficient  of  fluid  friction,  and  on 
a  fresh  development  of  the  functions  R  and  S :  its  value 
under  extreme  conditions  varies  from  '25  to  about  2*00. 

A  correct  formulated  determination  of  the  value  of  the 
coefficient,  c,  for  all  conditions,  is  a  matter  that  can  only 
be  said  to  have  been  even  approximately  arrived  at  in  the 
last  few  years,  from  an  examination  of  the  experimental 
results  of  d'Arcy  and  Bazin  on  the  discharges  of  pipes, 
open  channels,  and  ordinary  rivers,  and  those  of  Hum- 
phreys and  Abbot  on  the  discharges  of  very  large  rivers, 
by  Mr.  W.  K  Kutter,  of  Bern. 

The  determination  of  the  coefficient,  for  which  we  are 
idebted  to  him,  and  tables  rendering  it  easily  found  for 


firt  channels  and  rivers  of  any  sort  or  dimensions,  in 
Ktrica!  measures,  are  given  in  his  valuable  articles  in  tlie 
^Cultor  Ingenieur  "  for  the  year  1870. 

From    these    the   values  of   the    coefficient  suited   to 

^Eoghsh  feet  aud  cubic  feet  per  second  have  been  reduced ; 

key  are  given  in  the  table  for  coefficienta  of  all  sorts, 

(  XII.,  under  the  head  of  coefficients  of  velocity  of 

jTge,  in  Part  3,  pages  Ixxi.  to  Ixxx. :  these  are  also 

rther   explained   by    the  table    of   coefficients  of   fluid 

in  Part  1,  Table  XII.,  page  Ixix. 
With  the  aid,  therefore,  of  these  tables  of  coefficients, 
the  values    of  the    expression   100  (ESj*,  given  in 
hie  VII.,  pages  xviii.  to   xxv.,  the  values  of  V,  the 
velocity  of  discharge  of   rivers  and  open  channels 
be  rapidly  determined  in  a  few  momenta,  according 
9  the  most  improved  and  correct  method  yet  known. 
"With  the  aid  of  the  same  tables  of  coefficients  and  the 
ilues  of  the  expression,  ^H 

Q  =  c  X  3U-27  iSd")  when  c  =  1,  ^ 

given  in  Table  VIII.,  pages  xxvi.  to  xxxvi.,  the  actual 
dischajTge  of  any  full  cylindrical  pipe,  sewer,  or  tunnel, 
^bpan  also  be  determined. 

^B     These    tables,    to    which    explanatory    examples    are 

attached,  can  also  be  used  for  the  converse  purpose  of 

obtaining  the  head,  diameter,  hydraulic  slope  or  hydraulic 

radius,  due  to  given  discharges   of  channels  and  pipes  ; 

it    will,    however,    be    necessary    for    the    calculator    to 

remember  that  all  dimensions,  even  diameters  of  pipes, 

are  invariably  kept  in  feet,  and  that  all  slopes  are  kept 

in  the  form  known  as  the  sine  of  the  slope,  mentioned 

^   in  the  general  notation,  page  11,  of  this  chapter.     Should 

^■it  be  necessary  to  reduce  these  from  gradients  given  in 

^BnUtcr  forms,  such  as  in  feet  per  English  mile,  or  as  a  fall 


in 

1 


of  unity  to  a  certain  lonijftli,  'J'able  VI.,  passes  xiii.  to 
xvii.,  will  be  I'ound  to  save  calculation. 

So  far  for  the  velocity  formula  actually  adopted,  and 
the  mode  of  working  it  in  calculating  results.  As  regards 
the  formula  itself,  independently  of  the  determination  of 
the  variable  coeflftcient,  it  is  none  other  but  the  Eytelwein 
formula,  or  Chezy  formula,  in  a  very  much  improved 
form,  having  the  results  of  modern  experiment  incor- 
porated with  it.  An  examination  of  all  the  hydraulic 
formulae  for  mean  velocity  shows  that  most,  in  fifcct, 
almost  all  of  them,  were  modifications  of  the  Chezy 
formula,  some  of  them  adding  an  additional  term  or 
function,  and  altering  the  value  of  the  experimental 
coefficent,  but  still  asserting  its  fixity.  In  the  previoos 
editions  of  this  Manual,  written  before  Mr.  Kutter  had 
published  his  valuable  improvement,  all  these  formnle, 
having  fixed  coefficients,  were  rejected  by  the  author, 
who  at  the  same  time  asserted  the  principle  that  no 
fixed  coefficient  was  suitable  to  all  circumstances,  and 
that  the  engineer  should  choose  for  himself  a  coefficient 
most  suitable  to  the  special  circumstances,  dimensions, 
and  condition  of  the  pipe,  channel,  or  river,  with  whose 
discharge  he  was  dealing;  and  that  the  results  of  ex- 
periments should  be  always  consulted  for  this  purpose. 

A  mode  of  successive  approximation  to  the  mean 
velocity  was  also  recommended,  first,  assuming  er  =  1 ; 
and  then  from  the  mean  velocity  resulting,  assuming  a 
second  value  of  c^  according  to  the  following  table,  a  second 
true  velocity  of  discharge  was  calculated. 

r.         c  r.        c  V*        c*  v,         c. 


1-0 

•910 

1-5 

•960 

2-0 

1-000 

2-5 

1-023 

11 

•920 

1-6 

•968 

21 

1-005 

26 

1026 

1-2 

•930 

1-7 

•976 

22 

1-009 

2-7 

1-030 

• 

1-3 

•940 

1-8 

•984 

23 

1-014 

2'S 

1-033 

1-4 

•960 

1-9 

•992 

2-4 

1-018 

2-9 
3-0 

1-037 
1-040 

81 

But  these  were  intended  to  apply  solely  to   canals   in 

earth  in  good  order.     A  few  values  of  c,  suitable  to  pipes 

j     under  various  velocities,  were  also  given ;  but  they  were 

[    detached,  and,  from  want  of  experiment,  very  insufficient. 

[     Yet  the   true   state   of    the   case,   and  the   mode   most 

advisable  for  adoption  until  investigations    on  a  larger 

[    Male  threw  more  light  on  the  matter,  was  then  clearly 

set  forth. 

Now  that  the  experiments  of  d'Arcy  and  Bazin,  of 

j    Humphreys  and  Abbot,  and  of  Ganguillet  and  Kutter, 

have  been  comprehended  in  one  formula,  the  labour  of 

choosing  a  coefficient  from  experimental  records  is  ren« 

dered  entirely  needless. 

^be  determination  or  tabulation  of  this  coefficient  has 
gone  through  two  stages  of  development.  The  first  was 
that  made  by  Bazin,  based  on  the  experiments  conducted 
by  d'Arcy,  by  Bazin  himself,  and  by  various  engineers  of 
the  French  Fonts  et  Chaussees,  and  is  applicable  to 
metrical  measures.  The  principles  asserted  were  that 
the  coefficient  depended  on  two  quantities  or  qualities 
only,  namely,  the  condition  of  surface  of  the  bed  and 
banks  touched  by  the  water,  and  the  hydraulic  mean 
radius  of  the  section  of  discharge.  Four  categories  of 
coefficients  were  adopted. 

Ist.  For  very  smooth  surfaces,  well  plastered  surfaces 
in  cement,  and  well  planed  plank. 

2nd.  For    smooth    surfaces,    ashlar,    brickwork,    and 
ordinary  planking. 

3rd.  For  less  smooth  surfaces,  as  rubble. 

4th.  For  earthen  channels. 

The  values  of  the  coefficient.  A,  being — 

(1)  000015(1  +  ^) 


82 


(2)  000019(1  +  ^) 

(3)  000024  (l  ■ 


0-25 
B 


) 


(4)  000028(1  +  ^) 
and  the  corresponding  value  of  c  for  the  English  formula 


1-81 


of  discharge  being  « ==-  for  metres,  and 

^  ^      lOOv/A  lOO^A 

for  English  feet ;  the  French  formula  for  metres  being 

BS 


V» 


=  A, 


and  the 

English  formula  for  feet  being 

V 

c. 

100  (RS)* 

The  values  of  these  coefficients,  adapted  to  the  corre- 

sponding formula 

in  English 

feet,  are  generally 

as  follows, 

in  their 

respective 

categories 

• 

B. 

-C. 

C. 

R. 

C. 

C. 

(1) 

(2) 

(3) 

(4) 

1- 

1-41 

118 

1 

0-87 

0-48 

1-5 

1-43 

1-22 

2 

0-98 

0-62 

2- 

1-44 

1-24 

3 

1-04 

070 

2-5 

1-45 

1-26 

4 

106 

0-76 

8- 

1-45 

1-26 

5 

108 

0-80 

3-5 

1-46 

1-27 

6 

1-10 

0-84 

4- 

1-46 

1-28 

7 

110 

0-86 

4-5 

1-46 

1-28 

8 

111 

0-88 

6- 

1-46 

1-29 

9 

112 

0-90 

5-6 

1-46 

1-29 

10 

112 

0-91 

6- 

1-47 

1-29 

11 

113 

0-92 

7-5 

1-47 

1-29 

14 

113 

0-95 

8- 

1-47 

1-30 

15 

1-14 

0-96 

19- 

1-47 

1-30 

18 

1-14 

0-98 

20* 

1-48 

1-31 

20 

114 

0-98 

To  obtain  the  values  of  coefficients  of  mean  velocity 


from  the  observed  maximum  velocity  V,,,  and  values  of 
R  aud  S  in  English  feet,  we  obtain  from  Bazin's  formula 
V,n  =  V,  —  14  v/ES  for  metres,  which  for  English  feet  is 

Y,  =  V,-23-5v/RS;c=01  [■^-"  25-31. 

Applying  this  coeflScient  to  the  formula  V^^  =  c  x  100  v/RS, 
the  true  mean  velocity  of  discharge  V^  is  obtained,  and 
it  is  probable  that  this  latter  mode  of  determination  is 
preferable  both  to  the  former  and  to  the  following  method 
adopted  by  Kutter. 

The  second  stage  of  development  was  effected  by 
'  Kutter  and  Ganguillet ;  their  own  experiments  on  tor- 
rents and  streams  in  Switzerland,  combined  with  the 
results  of  Humphreys  and  Abbot  on  very  large  rivers, 
led  them  to  believe  that  the  coefficient  should  not  be 
confined  within  so  small  a  number  of  categories,  and  that 
also  it  was,  besides  being  a  function  of  the  surface  acted  on 
by  the  water,  and  the  hydraulic  radius  of  the  section,  a 
ftinction  of  the  hydraulic  slope. 

They  therefore  extend  the  categories  of  coefficients  suit- 
able to  open  channels  of  all  sorts  in  earthen  beds  into 
four  distinct  classes,  and  make  some  other  additions  to 
the  categories  adopted  by  Bazin  ;  these  new  classes  being 
ranged  in  accordance  with  the  coefficient  of  fluid  friction 
adopted  as  suitable  to  the  surface  under  consideration. 

A  table  of  these  general  values  of  the  coefficient  of 
fluid  Motion  is  given  in  Part  1  of  Table  XII.,  page  Ixix. ; 
and  some  local  values  from  which  the  former  were  deduced 
by  Mr.  Kutter,  are  also  given  on  the  same  page.  The 
classes  being  determined  by  these  means,  the  values  of 
the  coefficients  of  discharge  are  made  to  depend  on 
them,  as  well  as  on  the  hydraulic  slope  and  hydraulic 
radius  of  the  open  channel  under  consideration,  and  are 


84 

obtained  for  metrical  measures  by  the  following  exprei* 

sion  : — 

23        1  000155 


which  is  also  given  in  the  following  form : — 

z 

where  .=  23 +-^+2J1^5  ^d  ^  =  /(  28  +  ?:2^5j 

The  reduction  of  this  expression  for  application  to 
English  measures,  for  which  c  =  0*0181  c^,  is  effected  in 
pages  Ixxi.  to  Ixxx.  of  the  Working  Tables ;  and  if  any 
convenient  general  value  of  /  be  assumed  as  applicable  to 
the  particular  case,  the  coefficient  corresponding  to  any 
ordinary  values  of  R  and  S,  likely  to  occur  in  practice  on 
canals  and  rivers,  can  be  read  at  sight. 

The  calculation  of  the  discharge  of  pipes  is  conducted 
on  exactly  the  same  principle ;  although  it  is  extremely 
unfortunate  that  the  investigations  of  Ganguillet  and 
Kutter  were  limited  to  open  channels,  and  hence  the 
application  of  his  principles  to  pipes,  though  rationally 
superior  to  any  other  mode  previously  adopted,  cannot  be 
conducted  with  the  same  amount  of  experimental  record 
in  support,  nor  with  the  same  amount  of  accuracy. 

Assuming  then  the  same  formula  for  mean  velocity  of 

discharge — 

V  =  c  X  100(RS)4, 

and  adapting  it  to  terms  of  the  diameter  of  a  pipe  in 
feet ;  it  becomes  for  full  cylindrical  pipes  and  tubes  of  all 

sorts,  where  R  =  - 

V  =  (?  X  60(rfS*). 


rf  = 


H=-^ 


0  064S  - 


35  1 

and  as  the  actual  discharge  is  the  quantity  more  usuaUja 

required  direct  in  the  case  of  pipes,  this  is^ —  M 

Q  =  A  V  =  c  X  -7854  li*  x  60  (</S)*,  ■ 

I-  X  39-27  (S  <;•)',  I 

Tor  discbarges  in  cubic  feet  per  second.  I 

The  converse  forms  of  tliis  expression  being —  I 

QL  1 

rf'  ■  I 

where  H  is  the  bead  in  feet  for  a  len^h  of  100  feet,  or  i*  ' 
equal  to  100  S. 

The  values  of  these  quantities  are  given  in  Parts  1,  2,  ' 
and  3,  of  Table  VIII,,  for  a  value  of  c  =  1,  aud  the  valuea  I 
«f  c  given  in  the  table  of  coefticients  of  discharge.  Table 
■XII.,  pages  Ixsi.  to  Ixxiv.,  can  be  applied ;  the  powers  and  1 
'iwts  of  c  can  be  taken  from  Part  7,  Table  XII. 

With  regard  to  these  coefficients,  it  will  be  noticed  that  j 
for  want  of  sufficient  experimental  data,  a  coefficient  of 
friction  /  =  00 10  has  been  assumed  as  applicable  to 
enamelled  or  glazed  metal  pipes,  and  one  of  0*013  for 
ordinary  metal  and  eartheuvvare  or  stone-ware  pipes  under 
ordinary  conditions,  but  not  new ;  and  there  is  every 
reason  to  believe  that  these  assumptions  are  generally 
correct,  if  we  compjire  the  smoothness  of  surface  of  a 
glazed  pipe  with  that  of  very  smooth  plaster  in  cement, 
lod  that  of  an  ordinary  pipe,  in  average  condition,  with 
that  of  ashlar  or  good  brickwork.  , 

In  applying  however,  to  pipes  the  coefficients  of  dis- 
charge, resulting  from  the  formula  of  Mr.  Kotter,  on© 
would  naturally  be  unwilling  to  push  to  extremes  the 
principle,  asserted  by  him  as  applicable  to  open  channels, 
and  would  prefer  stopping  at  a  point  where  the  experi- 
mental data  now  furtlicoming  leave  us.     It  would,  there-  i 


i\)Yi\  s(HMii  iinpriideiit  at  ])resent  to  assume  the  law  of 
cocilicicnts  asserted  by  !Mr.  Iv utter,  to  liold  good  for  a 
hydraulic  radius  R  less  than  01  feet;  which,  for  falls 
steeper  than  0  001  give  as  a  coefficient  for  glazed  pipes 
0"84,  and  for  ordinary  pipes  0*61.  This  limiting  hydraulic 
radius  of  01  feet  is  that  of  a  5-inch  pipe,  or  a  pipe 
having  a  diameter  of  0*4  feet ;  and  we  therefore  assume 
for  the  present,  and  until  further  investigation  has  thrown 
more  light  on  the  subject,  that  the  coefficient  of  discharge 
for  all  full  pipes,  having  a  diameter  less  than  0*4  feet, 
will  be  the  same  as  for  those  of  that  diameter. 

The  above-mentioned  modes  of  calculating  the  dis- 
charge of  rivers,  open  channels,  and  full  cylindrical  tubes, 
are  intended  to  apply  generally.   . 

It  will,  however,  be  perfectly  evident  that  this  does  not 
by  any  means  preclude  the  application  of  an  allowantt 
or  deduction  made  for  special  circumstances.     In  actoal 
fact,  few  channels  are  either  perfectly  straight,  perfectly 
regular,  or  free  from  lateral  and  longitudinal   irr^uhuN 
ities ;  these  alone  may  affect  the  amount  of  discharge  by 
as  much  as  five  per  cent.,  even  after  making  allowance 
for  loss  of  head  by  bends  and  obstructions ;  and  the  local 
conditions  of  a  river,   the  wind,  the  amount  of  silt  in 
suspension,  the  motion  of  its  shoals,  the  change  of  the  set 
of  its  currents,  aU  seriously  affect  a  discharge  calculated 
from  data  that  make  no  allowance  for  these  circumstances. 
For   canals   and   regular   rectangular    and  trapezoidal 
channels   in   earth   in  good  order,  calculated  discharges 
will  naturally  give,  results  more  correctly  than  for  natural 
or  river  channels ;  the  errors  due  to  various  irregularities 
being  very  much  reduced.      The  formulae  of   discharge 
are,   however,   as   frequently   used    in   determining    the 
section  of  canal  intended  to  convey  a  certain  discharge, 
as  to  obtain  a  discharge  from  data  of  an  actual  canal. 


In  these  cases,  a  consideration  of  the  various  forms  of 
ctclion,  suitable  to  different  purposes,  is  also  necessary. 
Tills  matter  has  been  treated  and  repeated  iu  nearly  the 
same  terms  in  all  works  on  hydraulics,  and  there  is, 
[lerhaps,  nothing  new  to  be  said  about  it;  the  entire 
omission  of  it  in  a  Manual  of  this  description  might, 
iiowcvLT,  he  liable  to  cause  disappointment ;  and  hence 
the  following  remarks,  most  probably  based  on  the  ideas 
III'  Ej-telwein  and  d'Aubuisson,  though,  perhaps,  taken 
throagh  other  channels  now  forgotten,  are  therefore  in- 
^trted  for  purposes  of  reference. 


6.  THE   FORM   OF   OPEN  CHiNNEL 


i!iat  will  give  a  maximum  discharge,  is  that  which,  for 
^Ten  sectional  area,  has  the  least  wetted  border  or  peri- 
the  semicircle,  like  the  circle,  is  geometrically 
blown  to  possess  this  property,  and  regular  deraipoly- 
gons  externally  tangential  to  the  semicircle,  have  also 
more  or  less  this  property,  according  as  their  sections 
ti.ore  or  less  approximate  to  it  in  form;  the  semicircle, 
'  ■>,  has  its  hydrauUc  radius  equal  to  half  its  middle 
(iepth,  and  this  also  holds  for  trapeziums  of  maximum 
discharge. 

Hence  Neville's  geometrical  construction  for  deter- 
mining the  form  of  the  trapezoidal  channel  of  maximum 
discharge  that  has  given  side-slopes  and  sectional  area. 

From  the  middle  of  the  top  width  of  the  proposed 
fra])ezium,  describe  a  semicircle  with  a  radius,  equal  to 
_  the  proposed  depth,  and  draw  the  given  slopes  and  the 
Ittom  tangential  lo  it. 

L  This  form  gives  the  top  width  =  sum  of  the  side-slopes, 
the  mean  widtlj  —  half  the  perimeter, 

Ltlie  area  —  <r  (tan  -^   +  cosec  BV 


I 


1 


38 

where  d  =  depth,  and  B  =  inclination  of  the  slope  with 
the  horizon. 

From  these  properties,  the  relative  dimensions  of  trape- 
zoids of  maximum  discharge,  may  be  obtained  for  anj 
side-slopes.  They  are  given  in  the  following  table  by 
Neville. 


Belative  Diniefitiom  of  Maximum  Discharging  ChanneU — (Nevilla). 

Fkcton  for 


Slope. 

Angle. 

Depth.     Bottom.     Top.          &. 

In  terms  of  the  Bgoare  root 

of  the  area. 

Aiea. 

90« 

Otol 

•707 

1-414 

1414 

-354 

2d^ 

63«  26' 

Jtol 

•759 

•938 

1^697 

•379 

l-736rf« 

48»34' 

itol 

•748 

•675 

1996 

•374 

l-784rf« 

45« 

1  tol 

•740 

•613 

2093 

•370 

l-828rf« 

36*>  52' 

Utol 

•707 

•471 

2-357 

•354 

2J« 

33«  41' 

U  tol 

•689 

•417 

2484 

•3-15 

2105J* 

30**  58' 

If  tol 

•671 

•372 

2-608 

•336 

2-221rf« 

26»  34' 

2  tol 

•636 

•300 

2^844 

-318 

2-472J* 

Semicircle 

curve 

•798 

•000 

1^596 

•399 

1-571^' 

circle 

curve 

1-128 

•000 

•000 

•282 

-785J' 

These  are  most  applicable  in  cases  where  heavy  floods 
have  to  be  provided  lor  by  a  rapid  drainage,  and  where  the 
maximum  discharge  is  the  principal  object. 

For  most  practical  purposes,  however,  such  channels 
would  be  worse  than  useless,  because  depth  is  more  ex- 
pensive tlian  width,  because  the  high  velocity  generated 
might  be  destructive  to  the  channel  itself,  and  in  cases 
where  navigation  is  an  object,  the  depth  of  draught 
would  be  too  much  affected  by  the  fluctuation  of  supply ; 
depth  and  velocity  being  thus  limited,  as  well  as  the 
hydraulic  slope,  which  is  controlled  by  local  circum- 
stances, and  the  side-slopes,  which  depend  on  the  nature 
of  the  soil,  the  width  remains  the  only  function  of  the 
section  which  admits  of  much  variation. 

Now,  in  a  proportion   of  width    to   depth   exceeding 


14  to  1,  which  is  about  the  lowest  limit  that  will  main- 
tain a  navigable  depth,  the  side-slopes  cease  to  remain 
a  very  important  element,  and  the  mean  width  can  be 
dealt  with  equally  well  for  rectangular  and  for  flat  trape- 
loidal  se'ctions ;  the  practice  in  calculation,  therefore,  is, 
after  assuming  certain  side-slopes,  to  reduce  or  increase 
f  the  mean  width  by  two  or  three  feet  at  a  time,  until 
a  safe  bottom  velocity  is  attained  by  the  form  of  section 
thus  approximated  to,  and  the  intended  discharge  thus 
arrived  at.     The   next   point  is   to   know  the  relations 
between  width  and  depth  that  give  many  sections  that 
will  discharge  the  same  quantity  with  the  same  hydraulic 
dope.     For  this  purpose  their  areas  are  inversely  as  the 
square  roots  of  their  hydraulic  mean  depths,  and  hence 
the  square  root  of  the  cube  of  the  channel  sectional  area, 
divided  by  the  perimeter,  must  be  constant.     Thus : — 


and  hence  a j  a  =-i. 

w  icr 

Solving  which,  we  obtain  for  a  value  of  w  =  70,  and 
for  convenient  values  of  d  up  to  6,  corresponding  values 
of«.     Thus:— 


d    -25 

•50 

•75 

1-00 

1-25 

1-60 

1-75 

2-00 

m    87 

246 

45-0 

690 

96-9 

126 

158 

193 

d  2  5 

30 

3-5 

40 

4-5 

5-0 

5-5 

6-0 

m  267 

349 

437 

631 

629 

732 

839 

951 

This  equation  being  also  worked  out  for  the  same 
values  of  d  and  other  values  of  to,  the  results  are  formed 
into  a  table  of  equal  discharging  channel-sections,  given 
in  Part  4,  Table  XI.,  page  Ix.,  which  answers  all  practical 
purposes  in  determining  dimensions  of  section  for  open 
channels  of  any  size,  by  applying   multiples   and   sub- 


40 

multiples  to  the  dimensions  there  givei^.  The  table 
mentioned  was  taken  from  Stoddard's  work,  although 
there  is  also  one  very  much  like  it  in  Neville's  well- 
known  work  on  Hydraulics,  as  there  appeared  to  be  no 
advantage  in  making  a  new  one. 

An  additional  table  has,  however,  been  made  by  the 
author  to  facilitate  the  determination  of  channels  (not. 
channel  sections)  of  equal  dischai^e,  applicable  to  cases 
in  which  the  variable  coefficients  of  discharge,  adopted  by 
Mr.  Kutter,  are  employed.  Part  4,  of  Table  XL,  pagelxi., 
gives  a  variety  of  depths,  bottom  widths,  velocities, 
and  hydraulic  slopes,  that  are  applicable  to  channels  of 
one  given  discharge,  and  is  useful  in  roughly  deter- 
mining dimensions  and  data  necessary  for  various  dis- 
charges. 

The  form  of  section  of  a  pipe,  with  reference  to  its 
discharge,  is  a  matter  in  which  very  little  variation  is 
practically  possible :  all  small  pipes  being  generally 
made  cylindrical  and  kept  constantly  full.  The  quality 
of  the  interior  surface  of  the  pipe  is  however  very  impor- 
tant, the  discharge  being  liable  to  be  reduced  as  much  as 
33  per  cent,  by  fouling  and  incrustation,  the  retarding 
influence  being  not  so  much  the  diminution  of  section 
as  the  increase  of  friction. 

Formerly  the  method  usually  adopted  in  making  allow- 
ance for  incrustation  consisted  in  reducing  the  diameter 
employed  in  calculating  the  discharge;  the  reduction 
being  \  inch  for  pipes  less  than  3  inches  in  diameter, 
f  inch  for  3-incli  to  6-inch  pipes,  and  1  inch  for  pipes 
0  inches  to  1  foot  and  upwards  in  diameter.  It  is  evident, 
however,  that  this  principle  is  faulty,  and  that  the  reduc- 
tion should  be  made  for  these  circumstances  in  the 
coefficient  of  fluid  friction  employed  in  determining  the 
coeflicent  of  discharge.     It  is  to  be  hoped  also  that  in  the 


ire  wafer  pipes  will  not  he  allowed  to  fall  into  tlie 
^acefuUy  filthy  condition  that  has  too  often  existed  in 
^land,  and  that  some  enamelling  or  glazing  process, 
t  that  of  Dr.  AngU3  Smith,  will  be  more  universally 
IDpted. 

Kit  will  be  evident  from  an  examination  of  the  original 

uula,  that  in  order  to  obtain  a  maximum  discharge 

a  pipe,  its  hydraulic  mean    depth,  R,  roust   be  a 

d 
dmum.     A  full  cylindrical  pipe,  having  It=^j    seems 

I  6rst  sight  to  be  nearly  perfect  in  this  respect ;  and, 
ider  high  velocities,  doubtless  gives  the  greatest  scouring 
power ; — but  the  segmental  circular  section,  leaving  an 
upper  section,  whose  angle  is  78^°  empty,  admitting  of 
the  advantage  of  making  the  upper  segment  movable 
for  cleaning,  gives  a  maximum  discbarge  for  nearly  filled 

Iipes  under  smaller  velocities,  as  thus  shown  : — 
^  ScgmestuL     Full  Ciiclt.  ,^H 

i          Hydraalic  radius         '6  -5        ^M 

Velocity              I'OOS  I-  ■ 

Discharge         1-02G  1- 

[  The  egg-shaped  section,  usually  adopted  for  sewers,  is 
pod  for  intermittent  unfilled  pipes,  as  it  fills  higher 
ftA  flushes  better  : — one  form  is  generally  adhered  to,  in 
rhich  the  diameter  of  the  bottom  circle  is  half  that  of 
the  top,  and  the  depth  of  the  sewer,  and  the  radius  of 
each  side  curve,  are  each  equal  to  once  and  a  half  the 
diameter  of  the  top  circle ;  they  are  generally  calculated 
for  filling  to  two-thirds  of  their  depth,  and  in  that  state 
leir  discharges  and  velocities  bear  well-known  pro] 
[pus  to  those  of  cylindrical  sewers  : — viz. 


V.^lodti«s. 

DuuhArgM; 

Cylindrical,  fall 

1-00 

I'OO 

O/oid,  i-ful1         

1-04 

■89 

Cylindrical,    ij-full 

-J 

*2 

Calculations  connected  with  pipea  and  sewers,  may  be 
sometimes  shortened  by  taking  discharges  through  pipes 
of  the  same  section  in  proportion  to  the  square  of  the 
head,  and  through  pipes  of  the  same  head  proportional 
to  the  square  roots  of  the  fifth  powers  of  the  diameters. 
In  these,  Part  7,  Table  XII.,  is  of  use. 

In  dealing  with  the  slopes  of  pipes,  it  must  be  remem- 
bered that  the  hydraulic  slopes  are  those  that  are  dealt 
with  in  all  formulsa  of  discharge.  Pipes  are  usually  placed 
two  or  three  feet  below  ground,  to  protect  them  from  frost, 
and  follow  its  sinuosities,  rarely  being  allowed  to  rise  above 
the  mean  hydraulic  gradient  or  slope :  should  they  do  so, 
a  great  loss  of  head  results,  unless  air  vessels  are  apphed 
at  those  points,  from  which  the  air  is  allowed  to  escape 
through  cocks  every  two  or  three  days.  As  again  it  is 
comparatively  rare  that  a  single  pipe  is  laid  to  any  very 
great  distance  with  a  uniform  fall,  being  more  generally 
cut  up  into  lengths  having  difierent  falls,  it  becomes  neces- 
sary to  proportion  the  diameter  of  the  pipe  in  these  different 
lengths,  so  that  the  discharge  may  be  that  due  to  the 
smallest  diameter.  When  with  such  a  series  of  pipes  of 
different  diameters  the  total  head  is  given,  and  the  dis- 
charge is  required,  the  case  does  not  admit  of  direct  solu- 
tion, as  each  pipe  must  have  its  own  proper  head ;  in  this 
case  it  is  best  to  assume  a  discharge,  and  obtain  separate 
heads  due  to  it  for  each  pipe  in  the  series ;  the  true  heads, 
both  total  and  separate,  may  be  then  obtained  by  propor- 
tion, and  the  gradients  of  each  pipe,  as  well  as  the  mean 
hydraulic  gradient  of  the  whole  series  (which  is  the  slope 
that  would  be  adopted  for  a  single  uniform  pipe  through- 
out) marked  on  the  section  of  the  design.  The  final  dis- 
'iharge  can  then  be  calculated  from  any  one  of  the  pipes. 
in  example  of  this  is  attached  to  Working  Table,  No.  X. 


7.  OTHER  THEORIES  OF  FLOW. 


^H    Before  quitting  the  subject  of  flow  and  entering  into 
^Btii&t  of    velocities,   it    may  be  as  well  to  mention    two 
^^%pparentlj  more  perfect,  though  far  less  siraplcj  theories 
li      of  flow,   which  have  not  yet  brought  about  sufficiently 
txtended   practical  results  in  the  determination  of   dis- 
'-•liarges.     The  first  is  that  of  Dupnit :  it  neglects  friction 
oil   the    sides  of   the    section  of  flow,  thus  considering 
motion  in  all  vertical  planes  to  be  the  same,  and  dealing 
with  horizontal  laminae  only ;  the  surface  lamina  is  con- 
eidered  to  be  in  the  condition  of  a  solid  gliding  over  au 
inclined  plane,  and  each  lamina  below,  except  the  bottom 
one,  is  urged  on  by  its  own  weight  and  its  cohesion  to  the 
upper  lamina ;  the  bottom  fillet  is  retarded  by  its  adhe- 
sion to  the  bed.    Putting  this  in  the  form  of  an  equation, 
summing,  rejecting  certain  terms,  integrating  and  apply- 

Ig  three  numerical  coefficients,  Dupuit  obtains  a  result, 
iich  for  English  feet  is — 
„_S.  KA. 
It 


-— ^    -OS^  +  (0067  +  -9114  RS)t. 


f 


It  is  this  formula  that  has  produced  more  correct 
practical  results  generally,  than  any  one  of  the  formulfie 
having  fixed  coefficients  :   nest  to  it,  in  order  of  correct- 

leas,  coming  the  Chezy  formula,  with  a  fixed  coefficient 
1.     This  theory  assumes  that  the  uppermost  lamina 

loves  invariably  with  the  maximum  velocity,  which  is 
not  the  case ;  the  neglect  of  the  friction  of  the  banks 
might  again  not  vitiate  results  if  applied  to  large  rivers 
or  shallow  channels ;  it  is  probable,  therefore,  that  a  modi- 
fication of  calculation  suited  to  the  facts  more  receutly 
discovered,  about  maximum  velocity,  might  render  i 


44 

theory  very  perfect  as  well  as  practical.  For  more  in- 
formation,  refer  to  Dupuit's  "Etude  Theorique  et  Pra- 
tique sur  le  mouvement  des  eaux  courautes,  Paris,  1848," 
and  Claudel's  Tables,  which  contain  extracts  therefrom. 

The  second  theory  is  that  of  the  Mississippi  survey, 
mentioned  in  the  Mississippi  Eeport,  Philadelphia,  1861, 
which  deduces  the  new  formula  mentioned,  as  giving  the 
most  correct  results  of  all  yet  known ;  it  is,  however, 
unfortunate  in  its  formulae  being  rather  inconvenient  in 
some  respects.     While,  therefore,  the  investigation  ani 
deduction  of  the  formula  is  valuable  on  account  of  thfe 
information,   and   results   of   experimental   data  applied 
to  it,  the  result  is  not  so  useful  as  regards  the  practical 
use  of  the  formula,  which  was  virtually  set  aside  by  the 
Mississippi   Survey,   whenever  careful  river-gauging  was 
carried   out   in  favour  of  other  equations  deduced  from 
velocity  observation. 

In  a  work  of  this  scope,  it  is  impossible  to  go  beyond 
the  mere  outlines  of  the  demonstration  adopted.  Adopt- 
ing the  notation  of  the  Mississippi  Survey  given  at  pages 
11  and  12,  it  may  be  stated  as  follows. 

The  theory  accepts  uniform  motion  and  the  usually 
accepted  application  of  the  laws  of  uniform  motion,  but 
in  retarding  force,  denies  the  stability  of  position  of  maxi- 
mum velocity,  and  makes  allowance  for  the  resistance  of  the 
air  on  the  water  surface,  as  well  as  for  the  effect  of  wind. 

The  process  of  reasoning  follows  through  the  following 
equations. 

The  equations  obtained  for  the  forces,  are  as  follows  : — 

(1).  mgas  =  np+w)  <l>^<'  ^  +  ^'■■P 


•  • 


^mding  both  sides  by  Gy/, 
putting  U.  =   nv  +  (016  -  06/)  {6v)* 
Vr  =  dSv  +  (-06/  +  -35)  {6v)i 


45 


(2) 


.=^  =  4.  [.93.  +  (ft.)>(^C3^-7)+i'(7-««0l 

^  +^         (  • w +^ ) 

pnttiiig  W  =  qp,  where  q  practically  =  1  for  large  rivers. 


(3). 


a8 


W  +p 


=  0  (-931;  +  -167  {dv)^  =  ^  (2)  =  C:s^. 


(4).  C  = 


as 


{p  H-  W)^;* 


8 


I 


by  practical  observation  C  =  -r^,  hence 

In  this  equation  there  are  practically  only  four  variables, 
<2*  JD  +  W,  8  and  ;?,  once  for  ordinary  natural  channels  p 
nearly  =  1'015  W;  hence  if  the  values  of  any  three  are 
given,  the  fourth  may  be  obtained,  the  transpositions  of 
the  equation  being — 


(6).  s  =  ( 


195a 


) 


195  «* 


(8).  /?  +  W  = 


195  as^ 


z' 


Now  £r  is  a  variable,  of  which  only  two  absolute  values 
are  known,  viz.,  that  for  a  rectangular  cross  section,  and 
that  for  an  ordinary  river  section,  which  are — 

z  =zv  -h  -167  b^v^ 
z  =  -93^  +  -167  b^v^ 
Substituting  these  in  (5)  and  solving,  we  get  for  rec- 
tangular channels, 

(9).  V  =  \/0064A  +  (195r,**)*-  -OS**)' 


46 

For  ordinary  river  channels, 

(10).  V  =  (>/-0081*  +  (225r,«*-09i*)*; 

For  large  rivers,  where  r  >  12  feet,   and  where  b  = 

1*69 
p— ,"7^^  =  1856,  the  first  term  may  be  neglected,  and 

this  latter  equation  becomes — 

(11).  V  =  ([225r,^J*  -  -OSSB)". 

If  the  discharge  is  known,  and  also  two  of  the  four 
variables  in  equation  (5),  provided  they  are  not  a  and  v, 
the  other  two  variables  may  be  computed  by  eliminating 
the  unknown  variable  in  the  second  member  of  that  one 
of  the  transpositions  of  equation  (11)  whose  first  member 
is  the  variable  sought,  by  substituting  for  it  its  value 
deduced  from  the  equation  (12), 

a 

No  difficulty  will  be  found  in  performing  the  calcu- 
lation, except  when  s  and  p  +  w  are  the  known  variables, 
in  which  rate  an  equation  of  a  higher  degree  than  the 
second  cannot  be  avoided,  and  successive  approximation 
must  be  adopted  as  follows : — 

Assume  a  value  of  a,  and  find  two  values  of  r,  one 
from  equation  (12),  the  other  from  (10)  or  (9),  as  the 
case  may  require ;  these  values  of  v  will  not  agree,  hence 
assuming  a  new  value  for  a,  until  the  resulting  values 
of  V  are  identical. 

An  application  of  the  above-mentioned  Mississippi 
formulae  to  the  discharges  of  canals,  or  even  of  small 
streams  and  rivers,  cannot  by  any  means  be  considered 
satisfactory  as  regards  result;  although  for  large  and 
very  large  rivers,  the  amount  of  exactitude  resulting  may 
exceed  that  of  any  other  known  formula. 


47 


8.  VELOCITIES  m  PIPES  AlTD  ARTIFICIAL  CHAlfNELS. 

The  laws  of  the  distribution  of  velocity  in  the  section 
of  an  open  channel,  canal,  or  river,  are  not  yet  satis- 
&ctorily  determined.     A  certain  amount   of  knowledge 
lias  been  deduced  from  observation  of  the  variation  of 
velocity  in  the  vertical  planes,  but  as  regards  that  in 
the  horizontal  planes  of  the  section^   nothing  has  abso- 
lutely— and  very  little  relatively — ^yet  been  determined. 
In  pipes,  on  the  contrary,  the  conditions  of  velocity  are 
comparatively  simple.    All  the  valuable  information  on 
this   subject,  quoted  in   this  work,  is  that  deduced  By 
d'Arcy  and  Bazin,  and  by  Humphreys  and  Abbot,  from 
the  results  of  their  extensive  experiments. 

The  experiments  of  d'Arcy,  in  1851,  established  the 
following  law  of  velocity  in  full  pipes  : — 

v/ES  \-E) 

This  equation  is  in  terms  of  metrical  measures — 

V  =  central  velocity. 

V  =  the  velocity  anywhere  at  a  distance  =  r  from  the 

centre. 
•R  =:  the  radius  of  the  pipe. 
S   =  the  loss  of  head  or  slope  per  running  metre. 
This  equation  in  another  form  becomes — 

ft 

This  formula  was  deduced  by  d'Arcy  from  observations 
taken  at  from  one-third  to  two-thirds  of  the  radii  of  various 
pipes  from  the  centre ;  beyond  f  of  the  radius,  it  is  pro- 
bable that  the  law  does  not  hold  good,  and  that  tb^ 
decrement  of  velocity  should  be  more  rapid  than  tl 


48 

indicated  by  the  formula.  Under  any  circomstances, 
however,  it  is  clearly  established  that  the  velocities  in  a 
full  cylindrical  pipe,  are  equal  at  all  points  equidistant 
from  the  centre,  and  that  the  above  law  of  decrement 
holds  good  for  the  central  f  of  the  diameter  taken  in  any 
direction.  In  a  pipe  of  rectangular  section,  the  velocities 
are  equal  at  any  four  points,  taken  symmetrically  with 
reference  to  the  centre  of  figure. 

In  open  channels,  however,  this  almost  mathematical 
accuracy  is  entirely  absent,  and  the  perturbations  produced 
near  the  surface  of  the  water  does  not  allow  us  to  hope 
that  any  formula  can  be  arrived  at,  which  would  give  the 
actual  velocity  at  any  point  in  terms  of  the  mean  velocity 
and  the  co-ordinates  determining  the  position  of  that 
point.  These  perturbations  appear  to  be  more  consider- 
able in  proportion  to  the  diminution  of  velocity,  and  the 
increase  of  depth  of  channel,  and  are  coincident  with  a 
depression  of  the  locus  of  maximum  velocity;  in  the 
extreme  cases,  the  curves  of  equal  velocity  in  the  section 
cut  the  surface  of  the  water  very  obliquely. 

The  following  are  the  conclusions  drawn  by  Bazin  on 
this  subject : — 

1st.  For  a  very  wide  rectangular  channel — 

v/H  S  ^  H"  ^  ' 

where  V  =  central  velocity  at  the  surface. 

V  =  velocity  at  a  point  at  a  depth  A  below  it. 
H  =  total  depth  of  water. 
S  =  hydraulic  slope  of  the  water  surface. 

The  above  law  of  velocity  is  proved  to  hold  good  for  very 
wide  channels  ;  the  cases  under  experiment  give  a  practi- 
cally constant  value  of  K  =  20-0,  the  extremes  varying 
between  15*2  and  24  9;— it  would  also  appear  that  for  a 


49 

tangular  canal  of  infinite  widths  in  which  the  influence 
the  '  sides  was  entirely  made  to  disappear,  K  would 
24-0. 

\Yhen,  however,  the  depth  of  a  rectangular  channel  is 
at  enough,  in  proportion  to  the  hreadth,  to  make  the 
luence  of  the  lateral  walls  show  itself  in  the  middle  of 
\  current,  this  law  does  not  hold,  nor  does  any  law  of 
3rement  of  velocity  seem  possible,  and  mere  generali* 
aons,  in  terms  of  the  mean  velocity,  can  alone  be 
rived  at. 

If,  then  U  =  the  mean  velocity  in  a  canal,  the  section 
which  is  very  great  in  proportion  to  its  depth — 


dh 


id  the  depth  h  below  the  surface  is  determined  by  the 

pression  (fj)    =  ^;  whence  h  =:  0*577  H,  which  is,  in 

%  saying  that  the  mean  velocity  is  found  at  about  f  of 
e  total  depth.  This,  however,  assumes  the  before-men- 
med  parabolic  law  of  the  decrease  of  velocity  in  each 
rtical  plane,  a  hypothesis  only  admissible  in  a  very  large 
d  perfectly  regular  canal. 

In  fact,  however,  and  from  experiments  quoted,  it 
pears  that  the  locus  of  mean  velocity  is  often  below 
of  the  depth,  and  more  often  below  f  of  it ;  and  that 
ien  the  depth  of  the  canal  is  great,  and  the  velocity 
ible,  the  curve  of  mean  velocity  approaches  still  nearer 
e  bottom,  and  goes  as  low  as  f  of  the  depth.  

Taking  the  above  relation  U  =  V —  q- v/RS,  where     -_. 

v/X  and  K  =240,  for  a  channel  of  infinite  width ;  in 

is  case  also  we  get  fj  =  1  +8  n/A,  as  a  result  applic- 

4 


60 

able  to  this  special  case,  which  supposes  the  parabolic^ 
law  applicable  throughout  the  whole  breadth  of  the; 
channel ;    and   this   differs   greatly   from   the   results  dT 

V  - 

experiment  on  channels,  which  gives  fj  =  1  +  14  v^A. 

The  locus  of  maximum  velocity  is,  however,  not  always 
at  the  centre  of  the  surface,  but  is  at  a  greater  depth  in 
proportion  as  the  depth  of  the  canal  is  greater  and  the 
mean  velocity  is  less,  being  sometimes  as  low  as  f  the 
total  depth. 

The  determination  of  bottom  velocity  can,  in  rectan- 
gular canals,  be  alone  made  in  the  special  case  of  one 
supposed  to  be  of  infinite  breadth  :  for  this  case,  putting 
^  =  H  in  the  original  formula,  we  obtain   the  velocity 

ir  =  V  —  K  v/lt  S ;  but  in  all  other  cases  no  law  can  bo 
given.  Tlie  greatest  of  bottom  velocities  is  in  the  middle 
and  the  least  at  the  sides. 

The  velocity  along  the  vertical  sides  of  a  rectangular 
canal,  is  generally  greater  in  the  middle  than  at  the  top 
or  at  the  bottom  ;  but  beyond  this  fact,  the  determination 
of  the  exact  velocity  at  any  point  of  the  side  remains  a 
very  difficult  problem  yet  unsolved. 

The  laws  of  velocity  in  canals  of  semicircular  section  are 
far  less  complicated  than  those  of  rectangular  section : — 
the  law  of  decrement  of  velocity  is  expressed  in  the 
following  formula  : — 


the  extreme  values  of  the  coefficient  deduced  from  experi- 
ment being  18*2  and  23*2  ;  and  the  terms  of  the  expres- 
sion being  similar  to  those  in  the  equation  for  decrement 
of  velocity    in    sections   of    pipes    before    mentioned: — ' 


51 

r  in  this  we  make  r  =:  B,  we  obtain  as  for  rectangular 
lannels,  the  bottom  velocity,  w  =zY  ^  21  y/RB. 
And  the  mean  velocity  will  be  deduced  thus  : — 

=  V-|KvAttS;  where  ^^  =  n/2A; 

V  

hence  ^  =  1  +fKv/2A;  where  K  =  21 

=  1  +  11*9  v/ A:  an  equation  differing  but 

HtUe  from  that  deduced  from  experiment  on  semicircular 
canals. 

The  radius  r ,  of  the  circle  of  mean  velocity  of  the 
Bection  =B.  i^  f  =  0'737  E  ; — which  is  saying  that  this 
is  at  about  three-quarters  of  the  radius  from  the  centre, 
whereas  in  fact  it  is  farther. 

Taking  finally  the  two  expressions  for  decremenl;  of 
▼docity  in  canals  of  rectangular  and  semicircular  section, 

V-t;       -f/iy.'      ,Y^v       ^/rx» 
a  general  expression  may  be  deduced  from  them, 


and  as  imder  these  circumstances  absolute  velocities  cannot 
be  dealt  with,  it  is  better  to  make  use  of  relative  velocities, 
and  by  dividing  each  side  of  the  general  equation  by  U  to 

transform  it  into  the  form 

V  —  r  _ 

— Ty—  =  ^  v/A  ;  which  is  therefore  true  for  all  canals 

^here  ^  is  a  function  of  the  relative  (not  of  absolute) 
co-ordinates  determining  the  position  of  the  point  whose 
velocity  is  under  consideration,  their  values  being  taken 
^  proportion  to  the  dimensions  of  the  section. 
With   regard   to   velocities   in   natural    and    artificii 

4* 


52 

channels  generally,  by  far  the  most  important  lesiilt 
arrived  at  by  d'Arcy  and  Bazin,  is  the  relation  between  i 
the  maximum  velocity  and  the  mean  velocityof  di9chaTge,  tl 
represented  by  this  equation,  suitable  to  metres : 

■p  =  1  + 14  \/A;   and  since  A  =  -ttj ;  V—  XJ  =  14\/BS; 
these   equations    reduced    to   English  measures  become 

T^  =  1  +    "'     Tnn;  and  V-  U  =  2534  n/BS. 
U  ex  100 

The  advantage  derived  from  the  application  of  this  law 

in  gauging  is  probably  greater  than  that    of   any  other 

velocity  discovery  of  modem  times. 

Velocities  in  Natural  Channels. 

The  laws  of  variation  of  velocity  in  horizontal  planes, 
with  reference  to  different  forms  of  section  have  not  yet 
been  satisfactorily  deduced,  such  velocities  have  therefore 
to  be  determined  locally  when  required ;  the  horizontal 
curves  of  velocity  again  vary  much  in  different  stages  of 
the  river  or  stream  under  consideration  ;  the  records  there- 
fore of  such  velocities  involve  much  labour,  and  have  not 
yet  shown  themselves  of  sufficient .  practical  importance 
to  repay   the  labour   and  trouble   of   their  observation. 
The  laws  of  variation  of  velocity  in  vertical  planes  have 
been  most  fully  investigated  by  Captains  Humphreys  and 
Abbot  on  the  great  Mississippi  Survey. 

It  was  previously  generally  believed  that  the  maximum 
velocity  of  any  river  or  channel  was  that  on  the  surface 
in  the  middle ;  that  the  mean  velocity  varied  between 
•7  to  '95  of  the  maximum  velocity,  in  natural  channels, 
and  was  generally  '8  for  rectangular  sections ;  and  that 
the  bottom  velocity  equalled  twice  the  mean  velocity  less 
the  maximum  velocity,  or  6  of  the  maximum  velocity  for 
rectangular  sections.      There  were  also  numerous  other 


mttohs  of  relation  between  these  quantities  given  "by 
■nous  theorists,  none  of  them  probably  more  correct 
an  the  above. 

'  There  is  every  reason  to  believe  that  this  subject,  difficult 
n  itself,  has  been  rendered  more  difficult  to  manage  (roin 
J  falsification  of  Results  by  using  many  different  coni- 
Eilicated  instruments,  possessing  inherent  errors,  and  not 
idmitting  of  a  just  comparison  ;  the  Mississippi  observa- 
ions  being  conducted  on  a  very  large  scale,  and  in  the 
niplest  manner  possible,  have  brought  forth  very  impcr- 
bnt  results.  From  their  experimental  data  it  has  been 
idaced  that  the  velocities  at  different  depths  below  the 
hir&ce  in  a  vertical  plane,  vary  as  the  abscissa)  of  a 
rabola,  whose  axis  is  parallel  to  the  water-surface,  and 
toy  be  considerably  below  it,  thus  proving  the  maximum 
"elocity  to  be  generally  below  the  surface ;  the  equation 
f  this  curve  with  reference  to  its  axis,  taking  the  depths, 
tively  to  the  total  depth,  as  ordinates,  was  obtained 
1  the  form — 

y*  =  1-2621  I)*i' 
D  =  total  depth    of  bed  below  the  surface,  and 
r  and  y  are  the  co-ordinates  to  the  axis. 
They  also  deduced  that  if  d  is  the  depth  of  the  axis  of 
I     the  parabola,  or  locus  of  maximum  velocity  from  the  sur- 
^feuse,  then  ^M 

■  i/,=  ('317  +  '06/]  E  H 

where  R  =  hydraulic  mean  radius,  and/  =  force  of  wina 
taken  positive  or  negative,  and  taken  =  1  when  tlie 
velocity  of  the  wind  and  current  are  equal,  iind  =  0  for  a 
cross  wind  or  calm. 

The  following  are  other  important  equations,  with 
Htegard  to  velocity  in  vertical  planes,  that  they  deduced, 
^Kbich  though  they  are  not  so  useful  practically  as  might 
^■e  wished,  arc  inserted  here  for  reference. 


1 


54 

(For  symbols  refer  to  the  notation  g^ven  in  the  para- 
-graph  on  that  subject.) 

Formulae  for  velocity  in  any  vertical  plane : 

1'69 

(1)  b     =  /p  +  1-5) i  =  *^^^^  °^y  ^^®^  D  7 30  feet. 

(2)  </,    =  ( -317  X  -06/)  D  very  nearly. 

(3)  V    =  V^,  -  («f)'(^^'  / 

(4).V.  =  Vrf,  -(*«;)*  (^»)* 

(5)  V„  =  V</,  -{bv)i  (l  -§) 

(6)  Y„  =  %Yd,  +iV„  +  ^(iV,-iVp) 
('')  ^1  =  V„  +  j>s  (*i;)* 

(8)  V„  =  V„  +  i6v)*  (  i  +  ^^^^^^^) 

(9)V   =v„   ,(,.),  (M^^^_hlM^)) 

in  which  equation  (9)  is  a  mere  combination  of  equations 
(3)  and  (8). 

For  velocity  in  tlie  mean  of   all  vertical  planes   the 
following  formulae  have  been  deduced : 

^  ^  (r  +  I'oy. 

(2)  </,  =  (-317  +  -06/)  r. 

(3)  U„  =  -931;. 

(4)  U     =  -93^;  +  (^"^'^^^  + -IMZL^- -06/+  -Qiejcfo)*. 

(5)  U.    =  -931;  +  (-016  -  -06/)  (it;)*. 

(6)  U,   =  -9317  (-06/  -  -35)  i6v)K 

(7)  Vd,  =  •93w  +  {[-317  +  -Oe/]*-  06/+  '016}  {6v)K 

(8)  «  =  /[l-08  U,  +   002^]*  -  •045i*\*. 

The  most  important  result  of  all  these  data  and  deduc- 


55 

yns  is  the  foUowing,  ifc,  fact  of  great  practical  use  in 
kogmg  rivers,  that  the  ratio  of  the  mid-depth  to  the 
ean  velociiy  in  any  vertical  plane  is  independent  of  the 
idth  and  depth  of  the  stream  (except  for  an  almost 
lappreciably  small  effect)  absolutely  independent  of  the 
epth  of  the  axis  of  the  curve  before  referred  to,  and 
early  independent  of  the  mean  velocity  The  formula 
xpressing  this  is 

(7)  V^  =  V„  +  ^^l,  where 

» 

V^  is  the  mean  velocity  on  any  curve  in  the  vertical 
plane. 

V  2  is  the  mid-depth  velocity. 

V  is  tlie  mean  velocity  of  the  river. 
D  is  the  depth  of  the  river  at  the  spot. 

*  =  7Fr^^^T-FTi>  which  when  D  7  30  ft.  =  -1856. 
(D  +  1'5/ 

The  application  of   this  result  to  gauging  is  shown  in 
Chapter  II.  on  Field  Operations. 


9.  BENDS  AND   OBSTRUCTIONS. 

The  irregularities  of  a  river  materially  affect  its  velocity ; 
the  following  remarks  on  this  subject,  by  Captains  Hum- 
phreys and  Abbot,  are  instructive  on  this  point. 

*'Even  on  a  perfectly  calm  day,  there  is  a  strong 
"  resistance  to  the  motion  of  the  water  at  the  surface, 
"  independent  of,  and  not  mainly  caused  by  the  friction 
*'ofthe  air;  the  principal  cause  being  a  loss  of  force, 
"  arising  from  the  upward  currents  or  transmitted  motion 
*'  caused  by  the  irregularities  at  the  bottom.  There  is 
**also  iin  almost  constant  change  of  velocity  at  various 


[lifl  tbe  T)eiid  ; — it  is,  however,  always  assumed  that  each 
5  one  of  30°,  aud  the  effect  is  estimated  as  due  to  the 
riwmber  n  of  sucli  bends  or  deflections  of  30" ;  and  this 
tuables  the  formula  to  be  put  into  the  simpler  form — 

/*,  =  1^  =  nV  X  0-00ia65. 

536  M 

The  values  of  tliis  formula,  for  various  velocities  aod  ben3^. 
Me  given  in  Part  2,  of  Table  X.,  page  li.,  and  an  explana- 
tory example  at  page  lii. 

A  formula  more  suited  to  hends  of  pipes,  is  that  of- 
ATeisbach  ;  it  is  for  cylindrical  pipes — 

i=^    -  X  ■{  131  +  1-847  fillH 

and  for  rectangular  tubes — 

^  =_^,  Z.'  X  ■(•124  +  3-104  f-^l' I 
'       ISO"   2y       1  \2}i/    } 

but  as  the  bends  of  pipes,  known  as  quarter  bends, 
generally  taken  as  90";  the  factor — ■ 

"  ^'       becomes  =  ,  X,  ^  =   007764. 


i^J 


Ibll"  X  2y  12SS  " 

In  this  formula  r  and  R  are  the  radii  of  the  pipe  and  of 
the  bend,  and  the  other  terms  are  as  before.  The  loss  of 
head  due  to  bends  in  pipes  is,  however,  generally  required 
as  corresponding,  not  to  mean  velocities  of  discharge,  but 
to  the  discharges  themselves.  The  values  given  by  this 
formula  have,  therefore,  been  tabulated  in  tliis  form,  and 
are  given  in  Part  1 ,  of  Table  X.,  page  1. ;  an  explanatory 
example  is  also  attached. 

The  ordinary  formula  for  calculating  the  rise  in  feet 

ilting  from  an  obstruction  in  tbe  section  of  a  river 

annel,  is  that  of  Dubuat ;  it  is— 


A 


58 

where  A,  a,  are  the  normal  and  Ih^  reduced  sectional 

areas, 
S  is  the  sine  of  the  hydraulic  slope  of  the  river, 
and  m  is  the  experimental  coefficient. 

Now,  as  in  most  cases,  S  is  less  than  "001,  that  term 
may  be  neglected,  and  taking  m  =  '96,  m^  ==  "92,  and  the 
formula  becomes — 


*^  =  001C9  V 


{(^)"-'} 


The  values  of  this  are  given  in  Part  3,  of  Table  X., 
page  li.,  and  an  explanatory  example  on  page  lii. 


10.  DISCHARGE   FROM   ORIFICES   AND   OVERFALLS. 

The  discharge  from  orifices  and  overfalls,  which  to  the 
hydraulic  engineer  generally  resolve  themselves  into 
sluices  and  weirs,  is  a  subject  that  was  fully  entered  into 
by  hydraulicians  of  past  times,  and  to  which  very  little 
information  has  been  added  by  recent  experimentalists. 
Nor  is  it  by  any  means  likely  that  further  contributions 
will  be  soon  made  to  this  branch  of  hydraulic  science,  as 
there  have  recently  been  to  that  of  the  discharges  of  open 
channels ;  the  practical  interest  attaching  itself  to  the 
exact  determination  of  discharge  of  a  sluice  or  a  weir,  not 
being  in  excess  of  the  amount  of  exactitude  already 
attained.  All  accepted  information  on  this  subject  being 
to  be  found,  with  but  little  variation,  in  the  older  books, 
the  author  has  had  little  choice  left  to  him,  and  has 
therefore  taken  the  following  notes  almost  entirely  from 
Bennett's  translation  of  d'Aubuisson's  hydraulics. 

Setting   aside    the   experiments   of  the   more   ancient 


59 

philosophers,  aud  assuming  that  the  discharge  from  i 
orifice  is 

Q  =  AV  =  A.  m  v^H 

wiicre  H  =  the  head  of  pressure  of  the  orifice, 

m  =  the   coefficient    of    reduction    obtained 
pjpfriment, 

V  =  the  mean  velocity  of  discharge, 

-iid  the  pressure  being  supposed  to  be  kept  perfectly  cotf 

■lint,  the  first  of  the  more  modem  hydraulicians  to  obtain 

'^Iierimental    values    of  m,  on   a   scale   larger   than   the 

jiiviious  very  petty  experiments,  was  Michelotti.      His 

^jieriments  conducted  at  Turin  in  1707,  under  beads  of 

I'lt'ssure  up  to  '2i  feet,  determined  coefficients  of  reduction 

'  jrying  from    0015  to  0619,  for  eirculur  orifices,  up  to 

'J  inches  in  diameter,  and  coefficients  varying  from  0602 

'"  0'619  fer  square  orifices,  up  to  3  inches  in  length  of 

--!(Il'.    The  next  important  experiments  did  not  so  mucli 

'iichde  increase  of  bead  as  increased  dimension  of  opening. 

^I^'j-srs.  LespinaKse  and  Pin,  Engineers  of  the  Langnedoc 

'inal,  1782  to   1702,  made  experiments  on  rectangular 

"I'enings,  or  sluices  4'265  feet  broad,  and  having  heights 

'■iiying  from  lo75  to  1'805  feet,  under  heads  on  their 

"litres  of,  from  6'2  to  14'5  feet ;  the  coefficients  deduced 

^'Hcd  from  'Syi  to  '647,  the  mean  being  0"G25 ;  they 

■iso  observed  that  the  discharge  from  two   sluices  opened 

"  one  time  side  by  side,  was  not  double  that  from  one 

-lice.     The  next  important  experiments    were  those  of 

I'iiucelet  and  Lesbros,  at  Metz,  in  lt26  ;  they  deduced  a 

law  for  the  determination  of  coefficient  of  discbarge  of 

rectangular  orifices  under  various  proportions  of  bead  of 

pressure  and  depth  of  opening  to  width  ;  these  coefficients 

reduced  by  Bankino  are  given  in  a  tabular  form  in  Part  4 

(if  Table  XII',  at  page  Ixxxii.  of  the  working  tables.    The 

In  \t  important  experiments  recorded  were  those  conducted 


60 

by  M.  George  Bidone,  at  TariD,  in  1886,  on  orifice»  on 
parts  of  which  the  contraction  was  suppressed,  the  exbme 
of  suppression  being  a  case  in  which  the  whole  of  tbe 
contraction  was  suppressed  by  fitting  an  interior  shoit 
tube  to  the  mouth  of  the  orifice :  his  resulting  formula  of 
discharge  was  for  rectangular  orifices — 


Q  =  i»  A  >/2yH(l+  0152  p 


and  for  circular  orifices. 


Q  =  mA  v/2yH  (1  +  0-128  J) 

where  n  is  the  portion  of  the  perimeter  jp,  whose  contrac- 
tion is  suppressed. 

About  this  time  also  some  further  experiments  were 
made  by  Castel  and  d' Aubuisson ;  and  some  by  Borda  oa 
orifices  in  sides  not  plane. 

The  results  of  all  these  experiments  show  that  the 
extreme  limits  of  the  value  of  m,  are  0*50  and  1*00  for 
orifices  in  all  sorts  of  sides,  and  under  all  conditions,  and 
are  060  and  0*70  for  orifices  in  plane  sides  :  also  that  the 
general  mean  value  of  m  for  orifices  in  a  thin  plate  is  0*62 ; 
this,  however,  is  perhaps  more  true  for  small  circular  orifices 
than  for  any  other  class  of  them.      In  this  case  therefore 

V  =  0-62  X  8-025  n/H  =  4975  v^H, 

and  for  rectangular  orifices  of  a  similar  class,  the  values 
of  m,  ranging  from  0*572  to  0*709  given  at  page  Ixxxii., 
must  be  applied  to  the  general  formula 


Y  =z  m  X  v/2yH 

in  order  to  determine  the  mean  velocity  of  discharge, 
which  when  multiplied  by  the  sectional  area  gives  the 
quantity  discharged  per  second. 

In  the  special  case  in  which  the  reservoir  of  supply, 
still  being  kept  at  a  constant  level,  is  seriously  affected  by 


relocity  of  the  water  supplying  it,  the  discharge  i 
rifice  will  be  augmented  on  this  account,  and  then 

[  V  =  ^vsy/H- 


W'\  =  ffi  v^2yH  +  W, 


B  "W  =  the  initial  velocity  of  entrance, 
r  the  speciiaJ  cases  in  which  an  open  canal  is  attached 
pe  orifice  at  its  exit,  in  such  a  manner  that  the  sides 
wttom  of  the  canal  are  continuations  of  those  of  the 
the  coefficient  of  contraction  remains  the  same, 
hit  when  the  head  on  the  orifice  is  less  than  2^  times 
Sleight  of  the  orifice  :  in  this  latter  case  the  coefficienl 
'  have  to  be  materially  reduced.  An  extremi 
ItpTen  by  Poncelet  and  Lesbros,  being  one  of  a  discharge 
through  an  orifice  0'164  feet  high,  under  a  head  of  0'118, 
gave  a  value  of  m  =  0'452,  while  without  an  attached 
cbannel  the  value  of  m  was  =  0613  :  further,  when  the 
level  of  the  attached  channel  was  exactly  at  the  same 
Wei  as  the  floor  of  the  reservoir  of  supply,  the  value  of  m 
Was  reduced  to  0'443.  The  law  of  reduction  of  coefficient 
Qecessary  for  these  cases  is  not  yet  given  in  a  definite  form. 
The  inclination  of  the  attached  channel,  when  less  than 
one  in  TOO  did  not  affect  tlie  coefficient  in  any  way,  but 
when  increased  to  one  in  10,  had  the  effect  of  increasing 
the  coefficient  from  3  to  4  per  cent. 

The  above  includes  all  the  general  deductions  about 
jrifices  that  are  likely  to  be  of  any  use  to  the  engineer ; 
i  more  practical  collection  of  coefficients  of  discharge  for 
orifices  is  given  in  Part  4  of  Table  XII.,  at  pages  Ixxxi*, 
and  Ixzxii. ;  and  the  value  of  the  expression  I 

ven,  for  various  heads,  and  for  all  the  values  of  m  that 
Bre  commonly  used  in  Table  IX.,  pages  xxxvii.  to  xlviii.; 
some  explanatory  examples  also  follow  that  table. 


.es 


62  I 

It  may  be  observed,  however,  that  although  the  minatiae  I 
of  discharges  under  certain  experimental  conditions  have  I 
been  sedulously  preserved,  there  is  yet  considerable  doubt  1 
what  coefficient  should  be  used  for  the  laiger  sloices  or  I 
openings  that  occur  in  practice.     It  is  no  doubt  onfortOf  I 
nate  that  experimentalists  should  differ,  but  at  the  same  I 
time  the  circumstances  under  which  the  amount  of  cUs-  | 
charge  from  a  sluice  is  an  important  consideration  only 
occur  generally  to  those  who  are  capable,  and  have  the 
opportunity  of  determining  it  accurately  by  experiment 
themselves. 

The  ordinary  coefficient  for  a  sluice  of  moderate  size,  for 
small  lock  or  dock-gates,  or  mill-gates,  is  generally  taken 
at  0*62  :  that  for  a  narrow  bridge-opening,  which  maybe 
considered  as  a  large  sluice,  at  0'82;  and  that  for  very 
large  well-built  sluices,  large  wide  openings  out  of  reser- 
voirs continuing  at  a  level  with  the  bottom  of  the  reser- 
voir, and  large  bridge-openings  of  the  modern  type,  at 
01)2. 

The  term  II,  representing  tlie  effective  head  of  pressure, 
is  difforcntly  estimated  in  various  cases  :  in  ordinary  cases 
of  sluices,  supplied  from  a  reservoir  above  them,  the  head 
is  the  difference  of  hvA  between  the  surface  of  the  water 
in  the  reservoir  and  the  centre  of  figure  of  the  sluice ;  but 
when  the  sluice  is  drowned,  that  is,  has  a  perceptible  depth 
of  water  standing  below  its  exit,  but  above  the  sluice  itself, 
the  head  is  the  difference  of  level  of  the  water  above  and 
of  that  below  it ;  in  bridge-openings  also,  the  head  is  the 
difference  of  water  level  above  and  below  the  bridge. 

The  most  recent  experimental  determination  of  coeffi- 
cients of  discharge  for  head-sluices  supplying  small  channels 
is  that  of  d'Arcy  and  Buzin ;  the  results  of  these  opera- 
tions will  be  given  with  the  account  of  the  mode  of  gaug- 
ing adopted  by  them  in  Chapter  II. 


Unjces  mtTi  rnoulTipiecea  aftaded  were  even  in  tlie  time 
f  tlie  Romans  known  to  have  a  greater  discharge  than 
ritboat  them.  In  order  to  effect  this  increase  it  is,  how- 
wr,  necessary  tliat  the  length  of  the  attached  or  addi- 
jonal  tube  should  be  twice  or  three  times  the  diameter  of 
the  orifice,  otherwise  the  fluid  vein  does  not  entirely  fill 

■  the  month  of  the  passage.  The  experiments  of  Michelotti 
|ttl  Castel  determined  a  mean  coefficient  of  discharge  for 
fclindrieal  mouthpieces  of  0'82,  the  extremes  being  0'S03 

d0'830;  the  singular  effects  produced  under  some  cir- 
instances  by  the  application  of  cylindrical  mouthpieces 
s  more  curious  than  useful.     Conical  converging  mouth- 

■  pieces  increase  the  discharge  more  highly  :  the  experiments 
on  them  of  Castel,  engineer  of  the  waterworks  of  Tou- 
Jonse,  are  exceedingly  interesting;  they  demonstrated  that 
inder  varied  .heads  the  coefficients  of  discharge  and  of 
Velocity  were  practically  constant  for  the  same  mouth- 
i'iece,  and  that  for  the  same  orifice  of  exit  the  coefficient 
'-•I  discharge  increased  from  083  for  a  cylindrical  mouth- 
piece in  proportion  to  the  increase  of  the  angle  of  conver- 
gence of  the  mouthpiece  employed  up  to  0'95  for  an  angle 
"f  13j°;  and  that  beyond  this  angle  the  coefficient  of  dis- 

iiarge  diminishes  to  0'93  for  20",  and  afterwards  decreases 
Miure  rapidly.  The  length  of  mouthpiece  employed  in 
tliese  cases  as  well  as  in  the  former  was  2^  times  the 
diameter  of  the  orifice.  Some  experiments  by  Lespinasse 
on  the  canal  of  Languedoc  showed  tiie  enormous  increase 
of  discharge  effected  by  using  converging  mouthpieces : 
Ills  mouthpieces  were  truncated  rectangular  pyramids  9'69 
feet  long,  the  dimensions  at  one  eud  3"4  x  3'2  feet,  at 
the  other  "44  x  "62  feet,  and  were  used  in  mills  to  throw 
the  water  on  to  water  wheels ;  their  oppo-site  faces  were 
inclined  at  angles  of  1 1*  38'  and  1 6"  1 8',  and  the  head  em- 
liloyed  was  9'59  feet;  the  experiments  resulted  in  deter- 


64 

mining  a  coefficient  of  discliarge  vaiying  from  0*976  to 

0-987. 

Conical  diverging  and  trumpet-shaped  mouthpieces  still 
further  increase  the  discharge  from  an  orifice :  the  experi- 
ments of  Bernouilli,  Yenturi,  and  Eytelwein  have  tiirown 
much  light  on  this  subject,  and  showed  the  coefficient  to 
lie  between  O'Ol  and  1*35.  Venturi  concluded  that  the 
mouthpiece  of  maximum  discharge  should  have  a  length 
nine  times  the  diameter  of  the  smaller  base,  and  a  fliare  of 
5^  6',  and  that  it  would,  if  properly  proportioned  to  the 
head  of  pressure,  give  a  discharge  1*46  times  the  theoretic 
unreduced  discharge  through  an  orifice  in  a  thin  side. 

Over/alls  and  Weirs. 

An  overfall  may  be  considered  to  be  a  wide  rectangular 
orifice  in  an  ultimate  position,  where  the  head  on  the 
upper  edge  is  zero ;  and  its  discharge  may  be  therefore 
computed  in  the  same  manner  as  that  of  an  orifice. 

The  discharge  of  an  orifice  is  according  to  the  parabolic 
theory — 

Q  =  «*  X  f  >/"2y  X  tt7  (H  y  H  -  h  v/T) 

where  h  and  H  are  the  heads  on  the  top  and  bottom  edge, 
and  d  and  w  are  the  depth  and  width  of  the  orifice ;  if 
then  H  =  mean  head  on  the  centre  of  the  orifice,  and  the 
orifice  becomes  an  oferfall,  this  formula  becomes 

developing  this,  and  putting  wd  =:  A,  the  sectional  ftrea, 
Q  =  ..A|v/-27H(l-g^-^.) 

and  as  rf  is  comparatively  small,  the  last  term  is  =  0,  henoe 

Q  =  »i  A  f  v/"^^;  and  V  =  /;z  |  y/JyK 
?^here  H  is  the  head  on  the  sill  of  the  overfall. 


65 


The  value  of  the  coefficient,  m,  varies  according  to  the 
in  of  overfall.  It  was  determined  by  M.  Castel,  at 
olouse,  by  a  large  series  of  experiments :  and  also  by 
smcis,  in  the  Lowell  experiments  referred  to  in  Chapter 
,  on  Gauging. 

rhe  experiments  of  M.  Castel  showed  that,  for  the 
urate  employment  of  a  general  coefficient  of  discharge, 
\  dimensions  and  conditions  of  an  overfall  should  fall 
ihin  one  of  the  three  following  classes. 
1st.  When  the  length  of  the  overfall  sill  extends  to 
\  entire  breadth  of  the  channel,  atid  the  head  on  the  sill 
less  than  one- third  the  height  of  the  dam  or  barrier,  the 
fficients  remain  remarkably  constant,  varying  only  from 
64  to  0  666.  Hence  generally  for  this  case,  m  =  0'606. 
2nd.  When  the  length  of  the  overfall  sill  is  less  than 
t  entire  breadth  of  the  channel  of  suppl}'-..  but  is  greater 
m  a  quarter  its  breadth,  the  coefficient  lies  between 
\  two  extremes  of  0*666  and  0*598,  and  is  strictly  de- 
ident  on  the  ratio  of  the  length  of  sill  to  breadth  of 
mnel ; — ^hence  it  is  for  the  foUowing  relative  breadths  : 


Te  breadth. 

Coefficieut 

Pelative  brcadih. 

Coe£5cieiit. 

•oo 

0^666 

•50 

0^6 13 

•90 

0658 

•40 

0609 

•80 

0  047 

•30 

0  600 

•70 

0^635 

•'2  5 

0-598 

•60 

0^624 

3rd.  If  the  length  of  the  overfall  sill  is  equal,  or  even 
y  nearly  equal,  to  one-third  the  breadth  of  the  channel, 
\  coefficient  remains  very  constant,  varying  only  between 
9  and  0*61.  Hence  generally  for  this  case,  which  ispar- 
ilarly  favourable  for  gauging  small  streams,  m  =  0  60. 
In  other  cases,  that  is,  when  the  length  of  the  sill  is 
3  than  a  quarter  the  breadth  of  the  channel  of  supply^ 


^0 


66 

the  coefficient  depends  on  the  absolute  length  of  sill,  and.j 
requires  determining  specially :  it  increases  from  0'61  to 
0'07  in  direct  proportion  to  the  diminution  of  absolute 
lenj^li  of  sill. 

With  reference  to  the  three  cases  suitable  for  practical 
purposes,  the  experiments  of  M.  Castel  showed  that  whea 
the  sectional  area  of  the  overfall  was  less  than  one-fifth  of] 
that  of  the  normal  section  of  the  channel  of  supply,  the 
effect  of  velocity  of  approach  in  the  channel  did  notj 
modify  the  value  of  the  coefficient :  for  other  conditioDflij 
the  modification  necessary  was  not  determined  in  a  very' 
satisfactory  form : — the  new  equation  for  mean  velocity 
of  discharge  being  changed  from 

V  =  m  f  ^IfiL 


into  Y  =  w  I  v/  iff  (H  +    035  WJ 

where  W  =  the  surface  velocity  of  approach,  not  deter- 
mined from  observation,  but  from  its  assumed  ratio  to  the 
mean  velocity,  perhaps  therelbre  the  modification  of  the 
coefficient,  w,  by  other  authors  into  a  new  coefficient 


;;/ 


.  =  »'(('4)'-(h)'} 


where  //  is  the  head  due  to  the  velocity  of  approach,  and 
H  is  the  head  on  the  weir  sill,  is  a  preferable  arrangement. 

For  the  special  cases  in  which  channels  are  attached  in 
continuation  of  the  sides  of  the  overfall,  the  coeflScients 
in  the  experiments  of  Poncelet  and  Lesbros  were  reduced 
by  1 8  to  33  per  cent.  If,  however,  the  fall  to  the  channel 
is  more  than  3  feet,  no  reduction  is  generally  made  in  the 
coefficients. 

It  may  be  noticed  that  the  head  on  the  sill  used  in  the 
above  expression  is  that  in  the  centre  of  the  overfall,  which  is 
independent  of  the  rising  of  the  water  at  the  wings,  a  pheno- 
menon to  be  observed  in  almost  all  cases  of  weir  discharges. 


"La  aH  the  above  cases,  it  is  supposed  that  thin  edges,  as 
f  metal  sheets,  or  one-inch  waste-boards,  are  used ;  for 
1  or  round  lopped  crests,  the  coefficients  will  require 
iduction.  See  the  coefficients  given  in  Part  5,  of 
ible  XII.,  page  Ixsxiii. 
Obnirucfcd  Overfalls. — When  obstacles  occur  on  the  sill 
f  an  overfall,  as  dwarf  pillars  or  blocks,  a  deduction  in 
Z  discharge  over  the  sill  is  made  not  only  on  account  of 
■e  reduction  of  section,  but  on  account  of  the  contrac- 
■Bons  resulting.  Francis's  formula  is  applicable  to  these 
rcunistances  in  cases  where  the  length  of  weir  sill  equals 
r  exceeds  the  head  ; — it  is 

Q  =  |tfV¥"(^-0"l  «  H)Hf 
where  n  =  the  number  of  end  contractions, 

=  '1-  when  there  is  no  central  obstruction, 
/  =  length  of  weir  sill, 
/  H  =  A  the  sectional  area  of  discharge, 
and  m  -  00228. 
In   case    the  weir  sill  has  the  same    breadth    as   the 
channel  of  supply,  »  =:  0 ;  and  in  that  case 

Q  =  3-3:32 /H^ 
This,  it  will  be  observed,  varies  from  that  of  Castel,  which, 

under  the  same  conditions,  gives  Q  =  3'557  /H*" 

Parlly  Dromied  Overfalls. — When  a  weir  has  its  tail 
water  above  the  edge  of  the  sill,  it  may  be  treated  as  a 
combination  of  an  overfall  with  an  orifice;  the  upper  portion 
down  to  the  level  of  the  lower  water  as  an  overfall,  and  the 
lower  portion  from  that  down  to  thesUl  level  as  a  rectangular 
orifice,  and  the  discharges  calculated  separately  for  eacli. 
Using,  however,  the  same  value  of  H  in  both  cases,  H 
being  the  head  due  to  the  overfall,  that  is,  down  to  tho 
level  of  the  tail-race.  ^H 

6*    M 


I 


68 

.  Some  fiiriher  valaes  of  ooeftcienti  of  weir  disehaige 
are  given  in  the  acoonnti  of  ganging  in  CSiapter  H 
To  aid  in  the  computation  of  diseharges  from  oyerMi, 
the  velocities  of  discharge  dne  to  various  heads  iod 
various  coefficients  may  he  obtained  from  those  givm  in 
Table  IX.,  pages  zxxvii  td  zlv.,  by  redudng  the  velodtiei 
there  given  by  one-third;  the  results  multiplied  by  the 
section  of  overfrll  are  then  the  required  discharges.  The 
method  thus  adopted  enables  the  same  table  to  be  used  in 
computing  the  discharges  of  both  orifices  and  over&Ik 
A  table  of  weir  coefficients  is  given  on  page  Ixzxiii.,  and 
some  explanatory  examples  on  pages  xlvL  to  xlviiL 

11.— EFFLUX  OB  DISGHABGB  FROM  FKISHATIC 
VESSELS  OB  BESEBYOmS. 

The  following  formulse  given  by  d'Aubuisson  may  be 
considered  useful  for  reference  in  the  cases  in  which  they 
are  required  in  engineering  practice : — 

First  Case. 

(1st.)  When  the  reservoir  empties  itself  through  an 
orifice. 

Velocities. — The  ratio  between  the  velocity  at  the  orifice 
of  discharge  and  that  of  the  water  in  the  reservoir  is  in 
the  inverse  ratio  of  their  sectional  areas. 

Head.-^lf  H  =  actual  height  of  water  in  the  reservoir; 
A  •"  the  height  due  to  and  generating  the  velocity  of  dis- 
charge, and  A  and  a  are  the  sectional  areas  of  the  rese^ 
voir  and  the  orifice. 

Then  A  =     ^^^[  . 
A    —  Pi  a  . 

Discharge. — A  reservoir  emptying    itself  through  an 

orifice  in  a  given  time  would  discharge  a  volume  equal  to 

half  that  due  to  the  head  at  the   commencement,  kept 


69 

constant  during  the  same  time.  For  an  example  of  this 
applied  to  locks,  see  example  4,  page  xlvi. 

Time. — The  time  in  which  a  prismatic  reservoir  empties 
itself  is  double  that  in  which  the  same  volume  would  be 
discharged  if  the  initial  head  had  remained  constant. 

The  time  of  descent,  ^,  to  a  given  depth,  e?  =  H — A 

and  the  quantity  discharged  in  a  given  time,  t, 

isQ  =  A  (H  -  A)  =  ^•'"W^  (y/H  _.^|^) 

and  the  mean  hydraulic  head,  H,  under  which  the  same 
quantity  would  be  discharged  in  the  same  time  is — 

Where  H  and  A  are  the  heads  at  the  beginning  and  end  of 
the  time  of  discharge,  the  reservoir  receiving  no  supply 
during  that  time. 

(2nd.)  When  the  basin  or  reservoir  receives  a  constant 
supply  during  the  time  of  discharge. 

If.  y = quantity  supplied  per  second, 

/=:time  in  which  the  surface  will  descend  the  depth, 

wlien  there  is  no  supply,  or  ^^  =  0,  this  equation  resolves 
itself  into  that  previously  given. 

(3rd.)  In  the  case  of  there  being  no  supply,  but  the 
discharge  instead  of  being  effected  through  an  orifice  is 
conducted  over  an  overfall — 

Non-prismatic  reservoirs  are  extremely  difficult  to  deal 


with,  and  the  inTestigation  of  any  special  case  would  be 
comparatiTely  useless. 

Second  Que. 

When  one  reservoir  empties  itself  into  another. 

(Ist.)  When  each  of  the  two  reservoirs  being  exceed- 
ingly large  practically  preserves  its  own  level,  the  com- 
municating sluice  being  below  the  lower  snrbce  of  water; 
then  if  H,  h,  are  the  heads — 

the  discharge  Q  =  ma  v^iy  (H  —  k)^ 

(2nd.)  When  the  upper  reservoir  being  exceedingly 
large  preserves  its  own  level,  and  the  lower  reservoir 
having  a  definite  area  (A),  receives  the  supply  through  a 
sluice  of  a  section  ((/),  required  the  time  in  which  tbe 
surface  of  the  lower  basin  will  rise  to  a  certain  height. 

If  H,  h,  be  the  heads  on  the  lower  surface  at  the  be- 
ginning and  end  of  the  time,  /, 

ma  s/tg 
tliis  formula,  like  that  previously  given,  is  useful  for 
determining  the  time  necessary  to  fill  a  lock  chamber: 
when  ^  =  0,  or  tlie  levels  become  the  same,  tbe  case  is  that 
of  canal  locks,  and  the  sectional  area  of  tbe  sluice  may  be 
determined  from  this  equation. 

(3rd.)  When  neither  reservoir  receives  any  supply,  and 
both  are  limited  in  size,  if  the  surfaces  are  originally  at 
different  levels,  and  the  communication  sluice  is  opened, 
the  surface  of  one  will  rise  and  the  other  falL 
If  A,  B,  are  the  sections  of  the  two  vessels, 

H,  X,  the  heads  at  the  beginning  and  end  in  A, 
h,  y,  the  heads  at  the  beginning  and  end  in  B, 
a  —  the  sectional  area  of  the  pipe  or  sluice, 
t  =  time  during  which  the  sluice  is  open. 


71 

if  it  be  required  to  know  the  time  in  which  the  two 

faces  will  be  level;  in  that  case,  a?  =  y  =  — ^    .  ^    , 

L  then 

^_    2AB  y/H^:^ 

ma  (A  +  B)  v/^ 

This  formula  \&  convenient  for  determining  the  time 
cupied  in  bringing  the  water  in  the  two  chambers  of  a 
mble  lock  to  the  same  level,  by  means  of  a  sluice  of 
aown  dimensions. 

12.— THE  APPLICATION  OF  THE  WORKING  TABLES. 

The  use  of  the  greater  portion  of  these  twelve  tables 
las  already  been  indicated  in  the  foregoing  text ;  they 
lave  for  their  object  not  only  the  reduction  of  labour 
n  calculating  quantities,  but  also  to  serve  as  a  check 
)n  any  calculations  of  the  same  nature  that  may  be 
rapidly  made  by  engineers  in  dealing  with  quantities  of 
«rater.  Table  I.  gives  the  amount  of  the  force  of  gravity 
in  diflTerent  latitudes,  and  may  occasionally  be  found 
of  use  in  pendulum  experiments,  and  in  such  calcu- 
lations in  which  the  ordinary  value  of  ^  32  2  feet  per 
second,  generally  applied  in  the  hydraulic  calculations  in 

the  form  of  \/2y  =  8  025,  is  not  sufficiently  exact. 
Fables  II.,  III.,  and  IV.,  are  of  use  in  calculations  of 
J^ater  supply  from  catchment  areas,  storage,  flood  dis- 
charge, and  waterway.  Table  V.  gives  some  velocities 
isual  under  certain  circumstances  that  are  occasionally 
'^quired,  and  as  to  which  the  memory  cannot  always  be 
-J'usted.  Table  VI.  affords  a  ready  means  of  reducing  or 
converting  gradients  and  angular  slopes  into  the  forms 
^ost  usually  required  by  hydraulic  engineers.  Table 
*^II.  gives  mean  velocities  of  discharge  of  open  channels 
^'  all  sorts;  these   have,    however,   in    conformity  with 


rii0.1»Tii  r)ni'-ti<e,  t'»  i»e  Tn'ulirled  bv  coefficients  suited  to  the 
jiarticular   case  under  con>idcration  ;  the  various  functions 
of  mean  velocity  can  also  be  easily  deduced  by  the  aid  of 
this  table.     Table  YIII.  gives  discharges  of  fall  cylin- 
drical pipes  and  tubes,  and  the  diameters  and  heads  cor- 
responding to  discharges  ;  these  also  require  modification 
by   suitable   coefficients  in  the  same  way.      Table  IX. 
gives  velocities   of  discharge  of  sluices,  the  same  taUe 
serving  also  for  weirs  by  making  a  deduction  of  one-third 
from  the  velocities  there  given.     Table  X.  gives  the  I088 
of  head  due  to  bends  in  open  channels  and  in  pipes,  and 
the  rise  of  water  due  to  obstructions  in  open  channeb 
and  rivers.     Table  XI.  is  a  table  of  equivalents,  affording 
the  means  for  a  ready   conversion  of  quantities  often 
entering  into  hydraulic  calculation,  such  as  total  into  con- 
tinuous quantities;   and,  especially  intended  for  use  in 
calculations  of  storage,  town  supply,  and  distribution  of 
water  in  irrigating  land.     The  latter  portion  of  this  table 
consists   of  conversion  tables  for  English  and  metrical 
measures.     The  greater  portion  of  Table  XII.  is  a  col- 
lection of  all  the  experimental  coefficients   necessary  in 
ordinary  hydraulic  calculations ;  they  have  been  arranged 
in  this  manner  in  preference  to  being  distributed  through- 
out the  tables,  in  the  belief  that  it  permits  of  greater  con- 
venience in  reference :  part  6   of  this   table  is   a  small 
collection  of  hydraulic  memoranda^  principally  for  purposes 
of  conversion,  and  also  of  weight  and  pressure,  intended 
to  aid  in  rapid  calculations  ;  and  part  7,  consisting  of  useful 
numbers,  having  the  same  object,  also  serve  for  readily 
applying  powers  and  roots  to  the  coefficients  that  have  now 
become  so  important  a  part  of  all  hydraulic  calcidations. 
These  tables  and  data  have  all  been  calculated  and  re- 
duced by  the  author,  with  the  exception  of  those  at  pages 
Iviii  and  Ix. 


I 


73 

The  Appendix  to  the  Working  Tables  consists  of  a  few 
miscellaneoas  tables  and  data,  giving  information  sometimes 
required  by  the  engineer  in  connection  with  hydraulic 
works,  the  last  being  a  table  of  British-Indian  weights 
and  measures ;  these  with  two  or  three  exceptions,  in 
which  the  tables  were  made  by  the  author,  have  been 
taken  from  the  best  sources  available,  and  rearranged  in 
a  convenient  form. 


CHAPTER  II. 

On  Field  Opebatiovs  ahd  Gauoiho. 


1.  Direct  meosarBment  of  diMharge.  2.  Ganging  hj  rectangular  overfidk 
3.  The  meaenrement  of  Telociiies :  different  appliances  and  instruments: 
flumes  and  gauges.  4.  Gkuiging  hj  means  of  snr&oe  velocitiai. 
5.  Gauging  canals  and  streams  bj  loaded  tubes.  6.  The  MissiMippi 
field  operations  for  gauging  very  large  riyers.  7.  I^d  operationB  m 
gauging  crevasses :  and  computation  of  coefficients  for  special  crevarae- 
discharges.  8.  Captain  Humphreys'  improved  system  of  gauging  rivers 
and  canals.  9.  General  Abbot's  mode  of  determining  discharges  on  any 
given  day.  10.  The  experiments  of  d*Arcy  and  Bazin  on  the  Bigoles 
de  Chazilly  et  Grosbois.  11.  The  gauging  of  great  rivers  in  South 
America,  by  J.  J.  R6vy.  12.  General  remarks  on  systems  of  gangingi 
and  conclasions  therefrom. 


1.— DIRECT  MEASUREMENT  OF  DISCHARGE. 

The  direct  measurement  of  the  discharge  of  a  channel 

or  stream   can  be  obtained  by   means  of  gauge-wheels. 

The    channel   is   widened    until    the    water   flows   at  a 

moderate  depth,   less    than  five  feet,    over  a   horizontal 

and  carefully  constructed  apron  which  is  divided  by  piers 

into   a   number   of  equal   openings.      At  each  of  these 

openings  a  gauge-wheel  is  placed,  which  fits  the  opening 

every  way  within  a  quarter  of  an  inch.     Sheet  piling  is 

driven  across  the  head  of  the  apron  and  along  the  banks 

^proaching  it  for  some  little  distance,  so  as  to  force  the 

lole  of  the  water  of  the  stream  to  pass  between  the  piers 

id  drive  the  wheels.     The  measurement  of  the  water  is 


75 

hiDed  by  the  number  of  revolutions  of  the  wheels, 
ishoald  be  all  coupled  on  to  one  shaft  and  be  made 
rdiug  on  a  dial-face,  and  by  the  dimensions  of  the 
eels,  or  spaces  between  their  blades,  as  well  as  by  the 
ith  of  water  passing  over  the  apron,  which  is  observed 
nterrals  of  about  five  roinutes  on  gauges  erected  for 
purpose. 

'he  method  of  obtaining  a  discharge  by  means  of 
g;e-whecls  is  ex]>ensive  and  interferes  with  navigation 
rell  as  the  passage  of  the  water ;  it  is  therefore  very 

r 


-GAUGING  BY  HECTANGULAR  OVEBFALLS. 


he  water  of  a  canal  or  stream  is  made  to  discharge 
If  over  a  single  horizontal  dam,  or  over  a  series  of  small 
rfalls  specially  constructed  for  the  purpose.  The  dis- 
rge  over  overfalls  of  certain  dimensions,  and  under 
ain  circumstances,  is  known  by  many  series  of  experi- 
its  to  be  correctly  expressed  by  a  formula,  containing 
required  data  and  dimensions,  known  as  Francis's 
it  is 


r^-^ 


Q-Oly/HJH' 


/    =  length  of  weir-sill. 
H  =  head  on  the  weir  from  still  water. 

=  number  of  end  contractions. 
le  weir-sill  is  of  the  same  length  as  the  breadth  of 
nnel  of  approach,  n   -  0  ;  if  less  than  it,  and  there 
intral  pier  or  obstacle,  «  =  2 ;  each  central  obstacle 
iiig  two  additional  end  contractions, 
y  27  =  8  025  and  vi  =  -0228 

Q  =  3-33198  p-  0  IwH]^* 
|;iv«s  rebultb    within    one  pi.T  cent,  of  absolu.^ 


76 

* 

exactitude.     The  dimensious  in  this  formula  being  taken 
in  feet,  the  discharges  will  be  in  cubic  feet  per  second. 

The  following  conditions  should  be  observed  in  ganging 
by  rectangular  overfalls. 

1.  As  regards  form  of  construction,  the  dam  in  which 
the  overfall  or  series  of  overfalls  is  placed,  should  have  the 
sills  truly  horizontal,  and  the  sides  of  the  overfalls  truly 
vertical :  the  dam  itself  should  be  vertical  all  along  on  the 
up-stream  side,  but  the  sills  should  all  be  sloped  off  on 
the  down  stream  side  at  an  angle  of  45*  or  more  with 
the  horizon  ;  all  the  edges  of  discharge  should  be  sharp 
and  true,  after  passing  which  the  water  should  discharge 
itself  unobstructed. 

2.  In  order  to  obviate  the  necessity  of  allowing  for  tiie 
velocity  of  approach  in  the  channel,  the  area  of  the  over- 
fall— i.e,,  the  quantity  /  x  H,  must  not  exceed  one-fifth 
the  area  of  the  channel ;  otherwise  an  allowance  must 
be  made  on  this  account,  as  given  in  the  paragraph  ou 
Weirs,  Chapter  I. 

8.  If  the  velocity  of  the  channel  of  supply  should  not  be 
uniform  in  all  parts  of  its  section,  arrangements  should  be 
made  to  make  it  so ;  this  can  be  done  by  placing  gratings, 
having  unequally  distributed  apertures,  all  across  the 
channel,  and  as  far  from  the  overfall  as  possible,and  letting 
the  water  pass  through  them  under  a  small  head. 

4.  In  addition  to  the  above  it  is  absolutely  necessary 
that  the  air  under  the  falling  bheet  of  water  should  have 
free  communication  with  the  external  air. 

With  regard  to  dimensions : — 

5.  Should  the  overfall  not  extend  to  the  entire  width  ol 
the  channel  of  supply,  there  should  be  at  least  a  difference 
at  each  end  equal  to  the  depth  on  the  overfall,  so  as  to 
produce  complete  end  contraction. 

6.  When  the  breadth  of  the  overfall  is  equal  to  that  of 


i  stream,  and  even  under  all  circumstances,  the  deptli 
D  the  weir  should  be  less  than  one-third  the  height  of  the 
irrier. 

[  7.  The  depth  on  the  weir  must  be  always  less  than  one- 
3  of  the  length  of  the  sill. 

8.  The  Iiead  on  the  overfall,  H,  should  never  be  less  than 
i  feet ;  it  is  better,  also,  to  make  it  more  than  '5  feet  and 

i9  than  2  feet. 

9.  The  fall  from  sill  to  tail-water  should  not  be  less  than 
idf  the  depth  on  the  weir  in  order  to  ensure  a  free  fall. 

The  following  practical  directions  suitable  to  streams 

^d  moderate  rivers  are  given  as  examples,  where  ordiuary 

are  and  accuracy  is  required. 

Practical  tlirections. — 1st.  When  the  discharge  is  sup- 

sed  to  be  less  than  40  cubic  feet  per  second : — 

Iilrst,  according  to  the  above  rules,  make  H  greater 

"ttan  2  feet ;  and  H  x  /  less  than  one-fifth  of  the  channel 

section ;  let  /  be  greater  than  "3  feet,  but  less  tlian  one- 

[_tliird  the  width  of  the  channel ;  and,  to  ensure  a  free  fall, 

lage  so  that  the  lower  edge  of  the  sill  may  not  be  less 

I  half  a  foot  above  the  tail-race. 

Under  these  conditions  the  coefficient  of  discharge  to  be 

"sed  will  be  m  =  '623,  and  any  error  should  not  be  more 

'''an  one  per  cent.     Obtain  the  surface  velocity  (Vj  and 

''>e  transverse  section  (S) :  the  approximate  discharge  will 

''len  he  Q.  =  V,  x  S,  and  assuming  a  value  for  /  as  before 

'^lentioned,  obtain  a  value  for  H  by  means  of  the  ordinary 

'ormula,  making  use  of  the  approximate  discharge  fur  this 

Purpose.     H  should  be  from  1  to  3  feet,  and  should  such 

■^  value  not  result,  from  the  application  of  the  previous 

■Conditions,   use  another  value  for  I,  so  as  to  secure  this 

Condition,  as  well  as  to  retain  the  other  conditions  before 

mentioned,     When  this  is  gained,  the  orifice  may  be  cut 

of  the  required  dimensions  in  one  inch  plank  well  puddled. 


of  wliicli  such  (lams  are  usually  made ;  and  as,  ia  practice, 
the  dimensions  are  not  likely  to  be  very  closely  adhered 
to,  they  should  be  measured  again  when  the  orifice  is 
completed,  and  applied  to  the  formula  before  given  for  this 
purpose  to  obtain  the  velocity  of  discharge  and  amount 
of  discharge. 

2nd.  When  the  supposed  discharge  is  more  than  49 
cubic  feet  per  second,  but  still  admits  of  being  dammed: — - 

Find  the  approximate  discharge  from  the  section  and 
velocity,  when  the  surface  of  the  stream  is  level  with  a- 
fixed  mark  on  a  post  or  stone,  at  from  100  to  200  feet* 
below  the  intended  site  of  the  weir;  having  previously 
selected  a  place  where  the  stream  is  regular  in  width  ancSL 
inclination,  construct  the  dam  so  that  the  weir-sill  maj^ 
be  equal  to  the  full  breadth  of  the  channel,  square  th^ 
ends  of  the  opening  with  planking,  and  put  a  gauge  »^ 
each  end,  with  the  zero  at  the  level  of  the  upper  edge  of 
the  sill  of  the  overfall,  which  again  should  be  from  1  to  d 
feet  above  the  fixed  bench-mark. 

When  the  water  is  up  to  the  mark,  read  the  height  on 
either  scale ;  take  their  mean,  and  use  it  as  a  value  for  H 
in  the  weir  formula  before  given  to  obtain  the  velocity  and 
amount  of  discharge.  If  necessary,  obtain  the  surface 
velocity  of  approach  W,  and  make  allowance  for  it  as 
before  mentioned  under  the  head  of  weir  discharges,  as 
suitable  for  this  case  ;  m  being  =  ^66. 


3.— THE  MEASUREMENT  OF  VELOCITIES. 

There  are  many  cases  when  it  is  not  advisable  to 
construct  a  dam  or  gauge  by  overfalls,  and  also  cases  where 
the  simple  calculation  of  discharge  due  to  the  slope  of  the 
river,  and  the  terms  of  its  cross  section,  would  not  give 
sufficiently  accurate  results.     Under  these  circumstances 


79 

vi'locity  observations  must  be  made,  and  other  data 
^c'tly  obtained,  so  as  to  obtain  from  them  the  mean  vel( 
'  ily  of  discharge,  which,  wheo  multiplied  by  the  sectioi 
■irea,  gives  the  required  discharge. 
In  all  cases  where  velocity  must  be  observed,  it  is  ni 
|.      sary  to  choose  a  straight  reach  of  the  river  having  a  tolerabl; 
■    uniform  channel  section  ;  it  is  also  advantageous  that  the 
"    bank  should  admit  of  the  measurement  of  a  straiglit  line 
parallel  to  the  general  direction  of  the  channel,  and  at  right 
angles  to  the  line  of  intended  river  section  of  observation, 
t'j  serve  as  a  base  for  triangulation. 

For  exactitude  of  result,  it  is  also  advantageous  where 
*-'ircumstances  admit  of  it  to  use  a  flume,  should  the  channeL, 
^  sufficiently  small  to  admit  of  it,  as  this  ensures  a  pi 
'wtly  regular  section  of  water  for  a  certain  distance,  ant 
^'Iftiits  of  more  exactitude  in  the  determination  of  the 
^'^ctional  area  and  that  of  the  hydraulic  mean  radius.  A 
"Ume  is  a  timber  framework  covered  with  carefully  jointed 
I'lank,  forming  a  complete  lining  to  the  bottom  and  sides 
•^f  the  channel  for  from  100  to  200  feet  in  length,  having 
^  perfectly  equal  section  throughout ;  this  gives  the  means 
of  accurately  measuring  the  dimensions  of  the  stream,  the 
whole  of  the  water  of  which  is  forced  to  pass  through  it 
by  means  of  sheet  piling  at  its  upper  entrance.  It  pro- 
duces no  sensible  disturbance  in  the  flow  of  the  water,  and 
does  not  interl'ere  with  the  navigation  or  passage  of  water. 
Velocity  observations  are  then  made  on  a  measured  length 
along  the  flume  to  obtain  the  mean  velocity,  which,  when 
multiplied  by  the  section  of  the  flume,  gives  the  required 
discharge.  A  long  and  accurately  constructed  open  aqi 
duct  in  parfect  order  answers  all  the  purposes  of  a 
Should,  however,  no  such  opportunities  for  the  exact  del 
mination  of  the  water  section  present  themselves, 
comes  necessary  to  resort  to  soundings.     These  are  perl 


80 

best  and  certainly  most  rapidly  taken  by  means  of  a  sur- 
veyor's 100  feet  chain,  vrith  a  suitably  heavy  leaden  weight 
attached  to  one  of  the  handles ;  some,  however,  prefer  a 
cord  to  a  marked  chain,  and  consider  it  better  to  measure 
the  length  of  cord  with  a  tape  at  each  sounding. 

The  determination  of  the  position  of  each  sounding  can 
in  narrow  reaches  of  rivers  be  best  made  by  stretching ii 
rope  across  the  river,  and  measuring  the  distances  of  the 
sounding  points  from  one  bank  along  the  cord.  In  wide 
reaches  where  this  is  impracticable,  the  sounding  points 
have  to  be  fixed  by  angular  observation  and  connected 
with  the  base  lino  of  triangulation  at  the  moment  of 
sounding  either  by  an  observer  with  a  theodolite  on  the 
shore,  or  by  one  in  the  l>oat  with  a  pocket  sextant. 

The  fall  of  the  water  surface  ut  all  states  of  the  river  is 
one  of  the  data  generally  required.  To  determine  this,  a 
gauge  post  is  erected,  driven  into  the  ground  at  each 
sounding  section,  and  the  heights  of  the  water  shown  on 
them  continually  recorded  so  as  to  show  all  variations  of 
depth ;  the  connection  of  level  between  the  two  or  more 
gauge  posts  is  made  by  levelling  either  from  one  post  to 
the  other,  or  from  both  to  a  fixed  bench-mark.  In  many 
cases  the  iall  of  the  water  surface  is  so  slight  that  the 
ordinary  14-inch  level,  and  staves  graduated  to  hundredths 
of  a  foot,  of  the  ordinary  surveyor,  do  not  give  sufficiently 
exact  results,  when  a  good  18-inch  level  and  staves  reading 
to  millimetres  might  perhaps  just  answer  all  purposes. 

The  gauging  of  the  exact  water  level,  the  variations  of 
which  are  frequently  very  small  though  still  important, 
often  requires  arrangements  giving  greater  precision  than 
that  given  by  a  gjuige  post,  or  a  rod  held  to  the  water 
level.  The  two  instruments  employed  for  arriving  at  a 
very  exact  determination  of  water  level  are — 1st,  Boyden  s 
hook  gauge ;  2nd,  The  tube  gauge,  used  by  Bazin. 


.  Bogdens  hook  gauge. — With  regard  t6  gauges,  it  is 

blown  that  the  capillar}'  attraction  of  water  about  any  rod 

i  in  it  as  a  gauge  for  determining  the  water  level  will 

rify  readings ;  to  obviate  this  the  well-known  Boyden's 

iok  gauge  may  be  used  where  extreme  precision  is  neces- 

Tbis  gauge  has  a  hook  at  its  lower  end,  which  can 

trailed  or  lowered  by  turning  a  screw  ;  when  the  point 

I  the  hook  is  even  a  thousandth  part  of  a  foot  above  the 

■  surface,  the  water  around  it  is  sensibly  elevated  by 

e  capillary  attraction,  and  obviously  distorts  the  reflection 

F  light  from  the  surface  ;  when  the  hook  is  lowered  just 

fficiently  to  cause  this  distortion  to  disappear,  the  point 

f  the  hook  must  coincide  with  the  water  surface  ;  a  true 

Teading,  exact  within  "001  of  a  foot,  can  then  be  read,  by 

■tneans  of  a  vernier  attached  to  the  rod  of  this  gauge  which 

i-  ^aduated  to  hundredths  of  a  foot.     As  this  instrument 

■  .'.imot  be  used  effectively  in  a  current,  it  is  usual  to  put 

^^^in  a  box  in  some  convenient  place  which  only  coramu- 

^^notes  with  the  external  water  by  means  of  a  hole,  or  Lf  the 

^^nth  at  some  distance  off  is  the  object,  by  a  pipe  leading 

^^MD  that  place  to  the  hole  in  the  box ;  auy  oscillation  of  the 

^^nter  surface  in  the  box  may  then  be  diminished  or  nearly 

removed  by  partially  obstructing  the  hole  at  will.     Should 

! "iffct  rest  not  be  attainable,  a  good  mean  position  of  the 

I'uint  of  the  hook  may  be  obtained  by  adjusting  it  to  a 

■ii  ight  at  which  it  will  be  visible  above  the  water  surface 

'■'■T  half  the  time.     It  is  sometimes  convenient  to  have  the 

iiijok  made  with  a  small  semispherical  knob  on  it,  a  levi 

''tall'  can  then  be  held  on  it  for  taking  a  sight  with 

^;i>truinent. 

The  tuhp-gauge  used  by  Baziii  is,  unfortunately,  not 
■bribed  in   detail,  nor  are  drawings  of  it  given  in    his 
"  Eecherches  HydrauHques."     It  seems,  however,  to  have 
been  a  glass  tube  having  a  mouthpiece  of  only  a  milliioetre 


the 

I 

Ma       I 


82  I 

in  diameter,  and  that  it  enabled  variations  of  water  levd  J 
of  one  millimetre  to  be  easily  read;  and  it  is  hence  ez-l 
tremely  probable  that  it  resembled  in  some  respects  tlia  I 
velocity  fgauge-tube  of  d'Arcy,  used  for  taking  velodfyl 
measurements,  hereafter  described. '  It  is^  in  fact,  evidienl| 
that  an  instrument  on  this  latter  principle,  capable  of  in*  I 
dicating  variations  of  velocity  with  precision,  would  alio  I 
indicate  with  exactness  the  moment  of  the  withdiawdl 
from,  or  submersion  of  its  mouthpiece  in,  the  water,  anil 
that  this  motion  could  be  easily  manipulated  with  il 
clamping  and  a  tangent  screw.  I 

In  addition  to  the  above  data,  it  is  also  advisable  to  take  1 
notes  of  the  nature  and  quality  of  the  soil  of  which  thai 
bed  and  banks  of  the  river  under  consideration  are  com-  ] 
posed,  as  these  have  an  important  effect  on  the  discharge, 
and  to  notice  what  amount  of  velocity  of  current  is  just 
sufficient  to  cause  erosion  in  them. 

The  different  modes  of  measuring  velocity  are  the  fol- 
lowing:— 

Surface  velocity  is  very  simply  measured  by  observing 
the  time  of  transit  over  a  known  distance  or  length  of  a 
reach  of  a  river,  of  any  light  floating  body,  a  wafer,  a  ball 
of  wood  or  cork,  or  a  partly  filled  bottle. 

Mean  vertical  velocity^  or  the  mean  of  all  the  velocities 
from  water  surface  to  the  bottom  under  any  point,  in  a 
vertical  plane,  is  measured  by  a  rod  placed  vertically,  having 
a  length  nearly  equal  to  the  depth  of  the  river,  loaded  at 
one  end,  and  supported  by  a  float  at  the  upper  end.  The 
time  of  transit  of  such  a  rod  will  then  give  approximately 
the  mean  velocity  of  the  vertical  plane  in  which  it  moves. 
These  rods  or  poles  are  sometimes  made  hollow  and 
weighted  inside,  as  the  painted  metal  tubes  of  the  Lowell 
experiments  hereafter  mentioned,  thus  obviating  the  ne- 
cessity of  attaching  either  floats  or  weights. 


&3 

convenient  mode  of  observing  mean  vertical  1 
rdocity  consists  in  lowering  from  the  surface  to  the  bottom,  \ 
md  raising  again  to  the  surface  any  accumulative  self- 
fling  current  meter.     This  is  an  operation  requiring 
■v-me  care;  the  meter  must  be  sufficiently  weighted, 
if  necessary,   also  managed  by  a  cord  from  an  addi- 
,il  boat  moored  up  stream  so  as  to  ensure  its  moving 
^^llically  up  and  down;  the  lowering  and  i-aising  of  the 
iiuter  must  also  be  evenly  and  steadily  managed,  so  that  j 
till'  results  may  not  be  falsified. 

l/('i7M  upcfional  velocity  can  be  approximately  obtained  ] 
iii  sraail  streams  and  canals  at  one  operation  only  by  I 
making  a  light  covered  framework  nearly  the  size  of  the  j 
whole  cross-section  of  the  stream,  and  so  arranging  it  by  j 
floats  and  weights  that  it  will  assume  a  vertical  position  | 
at  right  angles  to  the  thread  of  the  current;  its  time  of  1 
transit  can  then  be  noted,  and  this  will  be  the  approximata  I 
Glean  velocity  of  the  section. 

Sab-surface  velocilies. — The  following  are  means  and  i 
appliances  for  measuring  the  force  of  a  current,  hut  most  I 
of  these  involve  the  application  of  a  special  coefficient  of  1 
deduction  due  to  the  particular  appliance,  in  order  to  \ 
obtain  the  actual  velocity  in  feet  per  second  at  any  C 
depth : — 

1. — By  double  floats. 
A  weighted  float,  consisting  of  ball,  or  cube  of  wood,.j 
or  hollow  tin  weighted  with  lead,  is  sunk  to  the  required! 
depth,  being  attached  by  a  cord  to  a  small  upper  float  on  th&  I 
surface  of  the  water;  the  upper  float  being  made  of  corkJ 
light  wood,  or  hollow  tin,  carrying  a  vertical  stick,  or  wire.n 
for  convenience  of  observation,  and  the  length  of  cord  bein^  I 
8o  adjusted  as  to  prevent  the  weiglited  float  from  sinkin 
lower  than  the  depth  at  which  the  current  velocity  i 

The  time  of  transit  of  this  double  float,  o\6tj 


O't 


measured  ur  a  ealculated  distance,  is  observed,  and  is  sup- 
posed to  represent  the  velocity  of  the  stream  at  that  depth, 
independently  of  any  coeflScient  of  reduction. 

Another  method  is  to  employ  a  pair  of  equal  hollow 
balls  connected  or  linked  together,  the  upper  one  on  the 
surface,  and  the  lower  one  weighted  sufficiently  to  keep  it 
at  the  cei*tain  depth  ;  the  velocity  of  this  double  float,  as 
observed  on  a  measured  distance,  is  supposed  to  be  that  of 
the  current  at  half  the  depth  of  the  lower  ball. 

2. — By  instruments  of  angular  measurement. 

A  quadrant  having  a  graduated  arc  has  a  string  attached 
to  its  centre,  and  a  ball  attached  to  the  string,  which  is 
immersed  in  the  stream.  The  current  moving  the  boll 
produces  an  angular  change  from  verticalitj  in  the  position 
of  the  string ;  the  velocity  is  then  equal  to  the  square  root 
of  the  tangent  of  this  angle  multiplied  by  a  coefficient, 
which  is  constant  for  the  same  ball  only. 

3. — By  the  indications  of  a  balance. 

A  ball  is  immersed  in  the  stream  and  attached  by  a  wire 
to  a  balance,  which  registers  the  pressure.  Another  very 
similar  method  requires  a  small  plate  instead  of  a  baU, 
which  is  connected  with  the  balance,  and  which  is  directly 
opposed  to  the  current. 

The  tachometer  of  Briinings  is  the  best  known  instru- 
ment of  this  type.  It  consists  of  a  plate  fixed  at  one  end 
of  a  horizontal  stem,  which  moves  in  the  socket  of  a  verti- 
cal bar,  by  means  of  which  the  instrument  either  rests  on 
the  bottom  of  the  channel  or  is  suspended  from  above.  A 
cord  of  fixed  length  is  fastened  to  the  other  end  of  the 
stem,  and,  passing  under  a  pulley,  is  attached  to  the  short 
arm  of  a  balance,  on  whose  other  arm  a  weight  is  sus- 
pended, being  placed  in  such  a  position  that  the  equili- 
brium is  established  with  regard  to  the  force  of  the  current 
under  observation.     The  position  of  the  weight  on  the 


I  arm  of  tlie  balance  indicates  the  velocity  ob- 

,  4. — By  the  rotation  of  a  screw. 

A  light  metal  screw,  similar  to  that  of  a  ship's  patent 

llog,  will,  when  submerged  in  a  current,  rotate  at  a  velocity 

lipproximate  to  that  of  the  water  in  which  it  is  placed.     If 

n  the  axle  of  the  screw  a  thread  is  set  turning  one  or  more 

■worm- wheels,  the  uumber  of  revolutions  of  the  worm-wheel 

lirill  indicate  the  approximate  velocity  of  the  water,  from 

■"which,  by  applying  a  coefficient  of  reduction  applicable  to 

■the  particular  instrument,  thus  including  all  allowances  for 

■friction  and  other  causes,  the  true  velocity  of  the  current 

■may  be  obtained.     There  are  several  current  meters  of  this 

:  Saxton's,  Brewster's,  and  Eevy's,  hereafter  described, 

■fere  all  modifications  of  this  form.     Some  of  these  instru- 

laients  are  not  suited  to  great  depths  and  high  velocities; 

lothera  are  made  self-recording  in  such  a  way  as  to  make 

Jiliowance  in  the  indicated  number  of  revolutions  for  the 

s  of  velocity  by  friction ;  the  latter  is  a  great  disadvan- 

Ktlge,  as  it  is  always  practically  necessary  to  test  each  par- 

aeular  instrument,  and  make  use  of  a  coefficient,  however 

Uall  it  may  be,  in  order  to  obtain  accurate  results. 

The  earliest  now  known  instrument  of  this  type  is  the 
iydrometric  mill  of  Woltmann,  used  by  him  in  1790. 
The  wings  on  its  asle  resembled  those  of  a  windmill,  and 
were  square  copper  plates,  set  at  an  angle  of  45°,  having  their 

ties  '1)82  feet  and  their  centres  at  '164  feet  from  the  axis 
rotation ;  for  small  velocities  the  size  and  distance  of 
;  wings  was  doubled.  In  great  depths  this  instrument 
a  attached  to  a  bar  and  lowered  from  a  platform  between 
o  boats,  and  the  instrument  put  in  gear  or  out  of  gear 
by  means  of  a  cord  at  any  depth.  This  type  of  current 
meter,  from  its  convenience  of  use  in  observing  velocity  at 
,•  depth,  has  been  re-invented  many  times.  j 


Mway 


86 

5.— Pitot's  Tube. 

This  is  a  glass  tube  bent  at  the  lower  end ;  it  is  sank  to 
the  required  depth,  and  its  lower  orifioe  directed  against 
the  current :  the  velocity  is  deduced  from  the  difference  of 
level  between  the  water  in  the  river,  and  that  in  the  tube 
which  is  forced  up  by  the  current.  The  first  improvemeot 
of  this  instrument  is  that  of  Dubuat,  who  gave  the  oiifioe 
of  the  tube  a  funnel  shape,  and  closed  it  by  a  plate  pieiced 
with  a  small  hole,  thus  considerably  reducing  the  objee- 
tionable  oscillations  of  the  water  in  the  tube.  The  next 
is  by  Mallet,  who  terminated  the  horiasontal  branch  of  the  \ 
tube  by  a  cone,  having  an  opening  of  2  millimetres,  and 
made  the  tube  itself  of  iron  with  a  diameter  of  4  centi- 
metres; he  also  introduced  a  float  and  stem  which,  eleyated 
by  the  force  of  the  current,  indicated  heights  on  a  graduated 
scale.  The  last  improvement  was  that  of  d'Arcy,  here- 
after described. 

6. — Qrandi's  Box. 

A  box,  having  a  small  hole  in  the  side  towards  the  cur- 
rent, is  sunk  to  a  certain  depth  and  withdrawn  after  a 
certain  time ;  the  amount  of  water  in  the  box  indicates  the 
velocity  at  that  depth. 

7. — Boileau's  Air  Float. 

A  glass  tube  of  fixed  length  is  immersed  in  a  position 
parallel  to  the  current ;  the  upper  end  of  the  tube  has  a 
conical  mouthpiece  fitted  to  it  of  any  convenient  size ;  the 
velocity  of  passage  of  a  globule  of  air  through  the  tube 
indicates  the  velocity  of  the  current. 

Some  of  these  modes  of  measuring  velocity  have  for  the 
present  practically  fallen  into  disuse,  on  account  of  the 
very  limited  range  of  their  applicability ;  others,  on  the 
contrary,  have  been  severally  adopted  by  various  hydrauli- 
cians  in  modem  times,  to  the  entire  exclusion  of  the  rest 


Modes  adopted  in  Modern  Practice. 

K)  On  the  Mississippi  Surveys  it  was  determined  to  ustf' 
■o&t  simple  apparatus,  so  as  to  avoid  the  necessity 
ing  any  coefficients  of  reduction  to  the  velocities  indi* 
by  them;  and  double  floats  were  invariably  used, 
Be  floats  used  in  the  Mississippi  Survey  were  kegs  without 
iop  or  bottom,  ballasted  with  strips  of  lead,  so  as  to  sink 
■nd  remain  upright ;  they  were  9  inches  in  height,! 
uid  G  inches  in  diameter ;  the  surface  floats,  when 
ligbt  pine,  5o  x  5"5  x  '5  inches,  when  of  tin,  ellipsoidB, 
ties  55  and  la  inches,  the  cord  one-tenth  of  an  inch  in 
diameter  ;  for  observations  more  than  5  feet  below  the 
iurfiice,  the  kegs  were  1 2  inches  high  by  8  inches  in 
*iianieter,  and  the  cord  nearly  two-tenths  of  an  inch ;. 
neither  the  weight  of  the  surface  float  nor  the  force  of! 
tlie  wind  directly  affected  the  observations  to  any  apprecirj 
able  amount. 

(2.)  On  the  gauging  of  the  Parana  and  La  Plata,  by 
Mr,  Bevy,  the  screw  current  meter,  with  some  alterationv 
and  improvements  made  by  him,  was  invariably  adopted. 

For  ordinary  currents  the  screw  used  by  Mr,  Eevy  con- 
sisted of  two  long  thin  blades  of  German  silver,  having 
a  diwneter  of  G  inches,  and  a  pitch  of  9  inches ;  the 
thread  of  its  axis  worked  on  two  worm-wheels  of  3  inches 
ill  diameter,  one  wheel  having  200,  and  the  other  201 
t«th  ;  each  revolution  of  the  screw  moved  the  first  wheel 
one  tooth  onwards,  the  second  wheel  moving  one  tooth., 
fDwards  for  each  complete  revolution  of  the  first  wheel 
this  allowed  of  the  continuous  reading  of  40,000  revo- 
lutions ;  the  two  worm-wheels  had  graduated  divisions 
siDund  their  circumferences,  corresponding  to  the  teeth  in 
lumber  and  position,  which  were  read  ofi"  at  an  indi 
throu^li  a  glaits  plate  coTering  them.   A  nut  was  idso 


4 


88 

for  clearing  the  worm-wheels  from  the  thread  of  the  axle 
of  the  screw,  by  means  of  which  the  instrument  was  either 
put  in  gear  or  out  of  gear  bj  hand ;  a  wire  attached  also 
enabled  this  to  be  done  from  above  when  the  instrument 
was  at  any  depth. 

For  strong  currents,  the  screw-blades  were  shorter  and 
stronger,  and  made  of  steel.  Some  of  the  screws  used 
were  only  4  inches  in  diameter.  The  divisions  on  the 
circumferences  of  the  wheels  were  found  to  be  too  near  for 
convenient  reading;  100  and  101  divisions  would  haye 
been  preferred  to  the  existing  arrangement  of  200  and  201. 

These  meters  were  generally  used  for  observing  velocities 
of  more  than  10  feet  per  minute,  their  corrected  results 
being  absolutely  correct  within  1  inch  per  minute  of 
velocity.  They  required  extreme  care  and  continual 
watching  :  the  slightest  bend  or  damage  to  a  screw-blade, 
or  any  clogging  or  accidental  tightening  of  a  screw  being 
liable  to  vitiate  results. 

When  in  good  order,  exposure  to  a  gentle  breeze  is 
sufficient  to  keep  the  instrument  revolving  ; — failing  this, 
cleaning  and  oiling,  or  readjusting  carefully,  is  absolutely 
necessary.  In  order  to  keep  a  check  on  the  observations, 
a  second  current  meter  should  always  be  at  hand. 

The  principal  advantage  of  this  description  of  current 
meter  is  the  convenience  with  which  it  can  be  worked,  and 
its  unvarying  utility  in  observations  at  any  depth  of  water. 

(3.)  In  the  experiments  of  d'Arcy  and  Bazin,  on  the 
Rigoles  of  Chazilly  and  Grosbois,  the  gauge-tube  of 
d'Arcy,  a  development  of  the  tube  of  Pitot,  was  gene- 
rally used  for  taking  velocity  observations. 

Pitot's  tube,  used  in  173:2,  demonstrated  the  principle 
that  the  difference  of  water  level,  //,  shown  by  the  two 
tubes,  one  vertical  and  the  other  curved,  and  directed 
against  the  current,  was  that  due  to  the  velocity,  and  that 


the    latter  could  be  obtained  from  the  former,  by  making 
ose   of  the  formula  V^  =  2y//. 

The  error  in  this  was  caused  by  the  fact  that  the  water 
in  a  vertical  tube  immersed  in  a  current  stands  lower  than 
the  water  surface  outside  ;  the  difference  being  a  quantity 
dependent  on  the  square  of  the  velocity  immediately 
below  the  orifice.  In  addition  to  this  Pitot's  tubes  had 
a  serious  disadvanta^  in  that  the  oscillation  of  the  water 
within  the  tubes,  whose  orifices  were  of  the  same  diameter 
as  the  tubes  themselves,  did  not  allow  the  difference  of 
level  to  be  correctly  observed. 

These  objections  are  entirely  removed  in  the  improved 
tnbe  of  d'Arcy,  which  has  an  orifice  15  millimetres  in 
diameter  for  a  tube  one  centimetre  in  diameter :  in  addi- 
tion to  this  the  lower  portions  of  the  tube  to  which  the 
orifices  are  attached,  have  a  small  diameter,  and  are 
made  of  copper  :  besides  this,  two  cocks  are  introduced 
which  add  greatly  to  convenience  of  manipulation.  The 
lower  cock,  which  can  be  worked  by  a  wire  and  lever, 
enables  the  orifices  to  be  opened  or  closed  at  any  moment 
from  above,  and  thus  allows  the  difference  of  water  levels 
of  the  tubes  to  he  read  off  at  leisure,  after  withdrawing 
the  instrument  from  the  water.  The  upper  cock,  after 
the  water  in  the  tubes  is  drawn  up  by  the  breath  at  an 
upper  orifice,  shuts  off  the  air,  and  enables  the  difference 
^■of  water  level  in  the  tubes,  which  is  not  affected  by  dila- 
^V^tion  or  compression  of  the  atmosphere,  to  be  read  off 
^Kttbove  against  a  scale. 

^M  This  gauge-tube  is  described  in  "  Les  fontaines  publiques 
^B-dela  ville  de  Dijon,  1856,"and  drawings  of  it  are  given  in 
^■fhe  "Recherches  Hydrauliques"  of  d'Arcy  and  Bazin,  1S65. 
^H  In  the  latter,  the  vertical  glass  tubes  are  1'25  m.  long, 
^^■Ihe  two  small  coppr-r  tubes  below  them  being  enclosed  in 
^^■Lcopper  casing,  0'77  m.  long,  0"06  m.  broad,  and  0011  "^^ 


90 

thick,  terminatinjj  in  a  sharp  wedge-shaped  point  to 
reduce  the  effect  of  the  perturbation  of  the  current.  The 
tubes  themselves  are  affixed  to  an  upright  of  light  boxwood, 
which  is  graduated  and  supplied  with  a  vernier ;  the  whole 
instrument  being  attached  to  an  iron  standard  on  which  it 
slides,  and  to  which  it  can  be  fixed  bj  screws  at  any  height; 
a  handle  turning  the  instrument  directs  the  orifices  in  any 
required  direction ;  and  an  additional  movable  wooden  arm 
is  used  to  enable  the  instrum^it  'to  rest  bj  means  of  it 
on  any  cross-beam  or  timber  from  wludi  the  observations 
are  being  taken. 

In  taking  an  observation  with  the  instmment  it  is  usual 
to  take  a  mean  of  three  maxima  and  minima. 

The  following  is  the  theory  of  the  determination  of  the 
coefficient  of  reduction  /*  in  the  formula  Y  =i  /i  ^  z^k 

for  any  instrument. 

If  a  single  curved  Pitot  tube  be  placed  in  a  current,  first, 
with  its  orifice  directed  against  it,  and  recording  a  height, 
A\  above  the  natural  water  surface ;  secondly,  when  directed 
with  it,  and  recording  a  loss  of  level,  h",  below  that  of  the 
natural  water  surface ;  and  thirdly,  when  directed  at  right 
angles  to  the  current,  recording  a  loss  of  level  k"\  then — 

V*  V  V* 

and  hence — 


^   m  -^  m 


y/2^w+n  =  M  s/iff  (A'+  n^ 

d  finding  from  tables  the  values  of  velocities  V  and  V" 
•rresponding  to  the  heights  A'  -f  //  and  A*  -f  i**;  the 
*bove  eguations  become — 


hence  there  is  a  constant  relation  between  tlie  tkeoretio  J 

height  —  dae  to  tlie  velocity  of  the  fillet  under  consider.  ^ 
9  ' 

ation  and  the  quantities  H,  li",  It";  and  the  coefficient  ■ 
reduction  can  therefore  be  obtained  for  any  sort  or  form  I 
of  orifice  by  means  of  a  few  experiments;  also,  when  once  J 
tLe  coeflBcient  of  reduction  for  the  instrument  is  deter- J 
mined,  it  is  unnecessary  to  make  further  use  of  the  level! 
of  the  water,  in  which  the  instrument  is  plunged,  ia  I 
lii'termining  velocities. 


4.-0AUGING   CHANNELS    BY   MEANS   OF   SURFACE 
VELOCITIES  ONLY. 

The  experiments  of  Messrs.  Baldwin  and  Whistler  on 
discharges  of  canals  of  rectangular  section  are  worthy 
^'  notice.  They  obtained  discharges  on  the  canals  by 
"'G^ns  of  surface  velocities  and  flume  measurement,  and 
'^ultaneously  gauged  the  actual  discharges  by  gauge 
wheels,  with  the  view  of  determining  practically  the  relation 
''^tween  surface  velocity  and  mean  velocity,  for  channels  of 
*  Certain  size  conveying  water  at  certain  velocities. 

In  one  case  the  flume  was  27'22  feet  wide,  with  depths 
■^f  water  from  7*52  to  8"14  feet,  having  surface  velocities 
from  3'07  to  3'34  feet  per  second  :  the  observations  deduced 
^  mean  coefficient  of  velocity  '857,  the  extremes  being 
■83S  and  -856. 

In  the  other  case,  the  flume  was  2994  feet  wide,  with' 
depths  of  water  from  7"G7  to  885  feet,  having  snrface'i 
Velocities  from  191  to  2'77  feet  per  second;  the  obseiva^ 
tions  deduced  a  mean  coefiicient  for  the  surface  velocity  o£ 
■814,  the  extremes  being  797  and  -Siti. 

In  other  cases,  the  data  of  which  are  not  forthcomingj 
the  coefficients  of  mr/iice  velocity  were  'S'ia,  'S'iO.'^W^ 
»«*/  taking  -820  as  the  mean  of  the  five  reauitB,  \t  caa.jj 


4 


U2 

favourably  compared  with  De  Profty's  ooeffident  '816, 
obtained  from  experiments  on  wooden  troughs  18  incheg 
wide,  having  depths  of  water  from  2  to  10  inches,  and 
velocities  varying  from  5*  to  4*25  feet  per  second.  Another 
point  which  Messrs.  Baldwin  and  De  Prony  agreed  in 
determining  was  that  their  coefficients  should  be  slightly 
reduced  for  lower  velocities  and  increased  for  higher.  The 
result  is  that  the  proportion  between  the  surface  velocity 
and  the  mean  velocity  of  discharge  for  rectang^ar  channels 
in  plank,  and  within  certain  limits  of  velocity  and  propor- 
tions of  cross  section,  may  be  said  for  practical  purposes 
to  lie  between  '8  and  '85.  Under  similar  local  conditions, 
therefore,  the  discharge  of  a  canal  of  rectangular  section  can 
be  rapidly  obtained  by  a  few  surface  velocity  observations, 
the  inclination  of  the  water  surface,  and  the  measurement 
of  its  section.  The  more  recent  experiments,  however,  oi 
d'Arcy  and  Bazin  show  that  the  above  law  of  velocity 
does  not  hold  generally ;  and  hence  this  mode  of  gauging 
does  not  admit  of  general  application. 

5.  GAUGING  CANALS  WITH  LOADED  TUBES;  BY 

FRANCIS. 

Under  the  existing  arrangements  at  Lowell,  a  dailj 
account  is  usually  kept  of  the  excess  of  water,  if  any 
drawn  by  each  manufacturing  company  over  and  abov( 
the  quantity  it  is  entitled  to  under  its  lease.  In  ordinar 
times,  occasional  measurements  are  suflBciently  exact ;  bu 
when  water  is  deficient,  frequent  measurements  are  made 
In  the  latter  case,  the  following  is  the  usual  course  c 
'proceeding : — 

A  gauging  party,  consisting  of  one  or  more  engineer 

th  assistants,  is  assigned  to  each  flume  where  measure 

.ent  IS  Decessary ;  and  arrangemeiitft  ate  so  made  that  th 

^bservatioDs  for  a  single  gauging  occa^^  «Jdou\.  ^si  V^ssj 


■     mm 


miervals  during  the  day  being  occupied  in  wortting  out 

le  results,  which  are  immediately  cominunicated  to  the 
mmiQfacturers,  so  that  the  machinery  may  be  adjusted  to 
the  amount  of  water  they  are  entitled  to  draw. 

The  followintj  are  the  dimensions  of  the  measuring 
lomes  used,  and  the  quantities  of  water  usually  gauged  in 

lem  ;  the  depth  of  water  in  the  Hume  generally  varying 

imSto  10  feet. 

100'  long  by  50'  wide,  1500  cub.  ft.  per  sec. 
^ppletoa  150  50  1800         do. 

Wll,  M.  C.  150  30  500         do. 

1511  20  200         do. 

"rescott  180  66  2000         do. 

Boott  100  42  800         do. 


iec. 

I 


The  loaded  tubes  used  were  cylinders  2  inches  in 
''ameter  made  of  tinned  plates  soldered  together,  with  a 
piece  of  lead  of  the  same  diameter  soldered  to  the  lower 
'^nd,  having  sufficient  weight  to  sink  the  tube  nearly  to 
[the  required  depth,  thus  leaving  generally  about  4  inches 
the  water  surface.  A  red-paint  mark  was  made  to 
ihow  the  amount  of  immersion  required,  leaving  a  space 
between  the  bottom  of  the  tube  and  the  bottom  of  the 
canal  of  1  foot.  The  tubes  were  of  thirty-three  diflerent 
lengths,  varying  from  G  to  1 0  feet :  six  of  each  length  were 
provided  for  this  purpose. 

In  order  to  adjust  the  tube  precisely,  it  was  placed  in  a 
tank  made  for  the  purpose,  and  small  pieces  of  lead  were 
dropped  into  the  top  of  the  tube,  and  rested  on  the  mass 
of  soldered  lead,  and  more  were  added  until  the  tube  was 
sunk  to  the  required  depth,  when  the  orifice  at  tlie  top 
was  closed  by  a  cork.  The  tubes  were  allowed  to  remain 
floating  for  some  time  in  the  tank  in  oidei  to  imo'set 
Jeak.     If  they  leaked,  they  were  taken  ot\V-  aivi  ^eft. 


^T-' 


94 

with  water  to  discover  the  position  of  the  leak,  when  the 
leak  was  soldered  and  the  tube  adjusted  again.  Th< 
centres  of  gravity  of  the  tabes  adjusted  were  1"78  to  1*91 
feet  from  their  bottom  ends ;  and  thus  being  low,  th 
tubes  had  a  strong  tendency  to  remain  vertical. 

The  tubes  were  put  into  the  water  by  an  assistai 
standing  on  a  bridge  below  the  upper  end  of  the  flum 
a  thing  requiring  a  little  practice  to  do  well ;  he  stcx 
with  his  face  up-stream,  with  the  tube  in  hand,  tl 
loaded  end  directed  downwards,  but  slightly  up-streai 
holding  it  at  an  angle  with  the  horizon,  greater  or  lei 
depending  upon  the  velocity  of  the  current.  At  a  sigi 
he  pushed  the  tube  rapidly  into  the  water  at  the  angle 
which  he  previously  held  it,  until  the  painted  work  n( 
the  upper  end  of  the  tube  reached  the  surface  of  \ 
water ;  he  retained  his  hold  of  the  upper  end  of  the  ti 
until  the  current  brought  it  to  a  vertical  position,  wl 
he  abandoned  it  to  the  current. 

There    were   three   transit   timbers   placed   across   1 
flume,  the  middle  one   equidistant  from  the   other  t^ 
their  up-stream  edges  vertical,  and  distinctly  graduated 
feet  from  left  to  right.     An  assistant  stood  at  each  trar 
timber  to  note  the  transits,  the  assistant  at  the  mid 
transit  timber  also  observing  the  depth  of  water  in 
flume  at  each  transit  in  a  box  close  to  him  between 
lining  planks  and  the  wall  of  the  canal,  which  commu 
cated  with  the  flume  by  a  pipe  about  4  feet  above 
bottom.     The  box  contained  a  graduated  scale,  divided 
hundredths  of  a  foot,  the  zero  point  being  at  the  m< 
elevation  of  the  bottom   part  of  the  flume  between 
upper   and  lower  transit  timbers.      The  bottom   of 
flume  was  very  nearly  horizontal ;  the  elevations  to  obt 
the  mean  were  taken  at  32  pomts,  ?>^^^S  ^^  extre 
difference  observed  of  '027  feet  m  oxv^  e.2ks>^-    "^^^^  ^^ 


95 

of  the  tube,  denoted  by  the  distance  in  feet  from  the  lei 
side  of  the  flume  when  the  tube  passes  the  transit  timbers, 
"as  abo  observed  and  called  out  by  the  assistants  ;  the 
mean  course  being  obtained  by  adding  the  distances  at  the 
upper  and  lower  transit  timbers  to  twice  that  at  the  middle, 
iind  dividing  the  result  by  four  for  a  mean  distance. 

The  usual  method  of  observing  the  transits   was  by 

meacs  of   an    assistant    carrying  a  stop    watch    beating 

m   quarter   seconds,  who  walked  down  and  recorded  evei 

P    tramit  himself;  but  when  greater  exactness  was  requirt 

til  electric  telegraph  made  for  the  purpose  was  used,  by 

^>liich  the  transit  observers  communicated  transits  to  a 

-;ited  observer  from  their  stations,  the  times  of  signals 

wing  noted  by  him  to  tenths  of   seconds,  according  to 

■'  inarine    chronometer   placed   before    him    beating    half 

^'^ccnds :— an  assistant  was  also  required  to  carry  back  the 

tubes  to  the  up-stream  station.      In  the    usual  method 

''efore  stated,  a  party  of  five  was  sufficient  for  all  pur- 

1*0803.      The  observations  were  made  at  distances  apart 

*hout  I"5  feet  in  the  cross  section,  as  may  be  seen  in  the 

following  gauge  record  for  one  set  of  observations,  and 

the  mean  velocities  of  the  tubes  for  these  mean  distances 

calculated    and   plotted  on  a  di;igram   of    section    paper 

having  the  mean  widths  in  feet  of  the  flume  scaled  on 

one    side,  and   the  other  calculated   velocities   for  those 

widths  scaled  on  the  other;  a  curve  joining  these  points 

was  then  drawn  on  the  diagram,  from  which  the  mean 

velocity  for  each  foot  in  width  of  the  flume  was  scaled  off 

and  entered  in  the  record ;  from  these  the  mean  velocity 

due  to   the   total   width   was    obtained    3  431 1    feet   per 

second ;  and  since  the  mean  section  of  waterway  between 

upper   and    lower    transit   timbers   was  =  41'70 

494  =  3561 88  square  feet,  the  approxiniate  4\'aii\v; 

'^JJ  X  35G-1SS  =  865029  cubic  feet  per  aeco\i,i.i 


96 


Oauge  record  of  the  quantity  of  water  paeemg  the  Boctt  meaeuriny 
flume^  May  17, 1860,  between  10.30  and  11.80  A.X.,  length  between 
traneit  timbere,  70  feet,  breadth  qf  ftwme  4176  feet^  length  of 
immereed  part  of  tube  8*4  feet. 


0-0 
1-5 
3- 
4-5 
6- 
7-5 
9- 

10-5 
12- 
13-6 
15- 
6-5 
18- 
19-5 
121- 
22-5 
24- 
25-5 
27- 
28-5 
30- 
31-5 
33- 
34-5 
36- 
37-5 
39- 
40- 
41- 
41-76 

00 
10- 
20- 
80- 
41- 
41-76 


2102 
2-258 
2318 
2-473 
2-373 
2-593 
2672 
2800 
2713 
2-778 
2-800 
2-373 
2-593 
2-4:^1 
2-280 
2-201 
2-077 
2071 
2-258 
2-258 


•3 

1-8 

32 

4*4 

6-2 

8-2 

9-7 

10-5 

123 

13-8 

15-2 

17-0 

18-0 

19-7 

211 

23-4 

237 

26-5 

27-0 

28-6 


2-414  31-0 
2-500  32-1 
2-258    32-5 


2-672 
2-431 
2-4.56 
2-500 


34-6 
36  5 
37-5 
40-1 


2-500    390 
2-397    41-2 


2-047 
2-642 
2-174 
2-273 
2-295 


*o 

9-8 

20-9 

31-5 

41-4 


•8 
1-6 
21 
4-5 
5-4 
101 
10-4 
8-8 
109 
15-5 
18-0 
20-4 
17-8 
19-0 
20-9 
29-3 
22-1 
29-7 
25-2 
26-5 
34-3 
30- 
281 
36-7 
350 
35-5 
40-5 
396 
40-6 


•4 

8-7 

19-9 

33-8 

40-6 


g 
-a 


a 


•65  8-510 

1-70  8-481 

2-65  8450 

4*45  8-470 

5*80  8-445 

0-15  8-438 

10*05  8-440 

9-65  8-470 

11-60  8*483 

14*65  8-490 

16-60  8-500 

18-70  8-498 

17-90  8*505 

19-35  8-505 

21-00  8*5*22 

26-35  8-533 

22-90  8-510 

28-10  8-495 

26-10  8-483 

27-55  8-495 

32-65  8-550 

31-05  8*630 

30-30  8-610 

35-65  8-625 

35-75  8-632 

36-50  8-612 

40-30  8-578 

39*30  8*578 

40-90  8*560 


•45  8-471 

9-25  8-580 

20-40  8-605 

32*65  8-635 

41  00  8-610 

• . •  •• . 

Mean  8*5294 


PftxLacts  of  mean 
▼elodty  and  widtliB. 


2-078 

2-198 

Ac. 


4 
1 

u 

Cm 

O 

•43 


Cm 

O 


0 

2 


Sdc. 

2-504  X 

2417  X 

2-264  X 

Sam 


X  1  =  2  073 
X  1  =2193 
2-284 
2*359 
2-422  - 
2*478 
2-529 
2-577 
2-623 
2-666 
2-705 
2-744 
2*776 
2-801 
2811 
2-798 
2747 
2648 
2*514 
2-363 
2-242 
2174 
2-129 
2*090 
2108 
2*135 
2160 
2  023 
2-243 
2-286 
2339 
2  371 
2-413 
2-453 
2  453 
2-513 
2-530 
2*541 
2-544 
«  2*500 
=  2-417 


1     ^ 

1       : 

•76  =  1-721 
101*523 


Mean 


101*523 
41*76 


=  2*4311 


-  ■l)|  =  SG3-59. 


To  obtain  the  true  discharge  from  this  upproxiinate 
tesalt,  an  empirical  factor,  depeDding  on  the  difference 
[\>)  between  the  depth  of  water  in  the  flume,  and  the 
dqitli  to  which  the  tube  was  immersed,  divided  by  the 
flepth  of  water  in  the  flume,  was  applied  ;  the  expressiou 
ef  correction  being  1—0-116  (v^D— O'l).  The  value  of 
this  expression  for  various  values  of  D  is  given  in  the  , 
attached  table  at  p.  98.  J 

ia  this  case  1),  the  quantity  before  mentioned,  I 

8-5294— 84000       „, .,  I 

=  — &-5294         ='^^'-^'  I 

md  hence  the  true  discharge  1 

=  8(55-929  X  j  1  -  •llfi  (v/^0T5: 

Jiemarku  on  the  application  of  this  mclhod  of  gauging. 

The  preceding  measurements  were  made  in  a  flume 
>laced  below  a  quarter  bend  in  the  canal,  which  caused  the 
lelocity  to  be  much  greater  on  one  side  than  the  other.  To 
tviate  this,  an  oblique  obstruction  was  placed  near  the 
Dwer  end  of  the  bend,  which  removed  all  the  trouble  in 
oeasurcment  due  to  tlie  original  irregularity ;  the  other 
%m^Ding  irregularities  may  be  seen  by  plotting  a  diagram 
»f  the  velocities.  It  is  hence  advisable  in  all  cases  to 
squalize  the  velocities  on  each  side  of  the  axis,  should 
:liey  require  it. 

In  gaugiQga  branch  canal  it  is  best  to  put  the  flume  in 
it  near  its  off-take  from  the  main  canal,  with  its  axis  nearly 
[larallel  to  that  of  the  branch  canal.  Its  section  may  be 
determined  by  roughly  calculating  the  expected  discharge, 
^  making  it  so  as  to  suit  a  velocity  of  from  1  to  3  feet 
Iter  second;  its  length  should  not  be  less  than  50  feet, 
■'■ing  20  feet  above  the  upper  transit  timber  to  enable 
>  to  attain  the  same  velocity  as  the  water,  and  5  feet 
fthe  \ov,-er  timhcr,  the  transit  course  of  25  feel,  tuu.- 


9S 


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^ 


ir  in  7  J  or  10  seconds,  can  be  tlien  noticed  by  a  practisi 
eerver  with  a  quarter  second  stop  watclj 
In  gauging  rivers  by  means  of  loaded  tubes,  flumes  are 
pt'nsed  with,  and  marked  cords  may  be  substituted  for 
e  graduated  transit  timbers,  being  supported  from  the 
flttom  if  uecessnry,  so  as  to  be  always  visible;  in  large 
tlTers  triangulation  observations  are  necessary.     The  reach 
stoold  be  50  to   100  feet  long,  and  the  bottom  irregu- 
larities may  be  removed  or  filled  in  to  a  certain  extent 
fceforehand,  so  as  not  to  interfere  with  the  poles,  which 
should,  when  immersed,  reach  to  about  six  inches  from  the 
Wttom.     Boats  will  be  required  to  convey  the  poles.     As 
ilie  cross  section  will  be  irregular,  it  will  be  necessary  to 
[divide  it  into  several  parts,  finding  the  area  and  mean 
«locity   of  each   division,  and  calculating  the  corrected 
Bcharge  of  each  division  separately  j  the  sums  of  these 
Kited  discharges  will  then  be  the  true  discharge  for  the 
Brer  at  that  spot. 

L  HEl-D  OPERATIONS  FOR  GAUaiNG  THE  MISSISSIPPI 
RIVER  AND  TRIBUTARIES,  BY  CAPTAINS  HUM- 
PHREYS  AND  ABBOTT  IN  185fi. 

Soundings. — The  strength  of  the  current,  the  depth  and 
width  of  the  river,  and  the  floating  driftwood,  all  com- 
bined to  render  an  accurate  measurement  of  the  dimen- 
sions and  area  of  cross  sections  a  diflicult  operation  on 
the  Mississippi.  After  various  experiments,  the  following 
system  was  adopted,  by  which  accurate  work  was  done 
even  in  the  highest  stages  of  the  river.  The  middle 
stages  were  usually  selected  for  this  purpose,  being  pre- 
ferable to  the  low  stages,  during  which  tliere  would  have 
been  exposure  to  oppressive  heat  and  disease,  aivi  mote 
favoarable  than  the  high  stages,  when  the 
atteading  nccarate  measurement  were  greatest. 


aivi  mote 

'  1*    Jl 


100 

Preparatory  to  making  a  cross  seetioii  of  the  meryj 
whether  for  general  purposes  of  comparison  or  for  dete^ 
mining  a  discharge,  a  base  line,  varying  in  length  hm 
400  to  1000  feet,  was  measured  along  the  bank  near  the 
water's  edge ;  an  observer  vdth  a  theodolite  was  stationed 
at  each  extremity  of  this  line.  The  one  directed  tbe 
telescope  of  his  instrument  across  the  river,  so  as  to 
command  the  line  on  which  the  soundings  were  to  be 
made ;  the  othe?  prepared  to  follow  the  boat  with  hii 
telescope,  in  order  to  measure  its  angular  distance  fifom 
the  base  line  when  each  sounding  was  taken.  Tk 
boat,  a  light  six-oared  skiff,  contained  a  man  provided 
with  a  sounding  chain,  a  recorder  with  a  flag,  and  three 
oarsmen.  The  strongest  kind  of  welded  jack-chain  wai  • 
employed,  to  which  bits  of  buckskin  were  attached  at 
intervals  of  5  feet,  smaller  divisions  being  measured  with 
a  rod  in  the  boat.  The  sinker,  varying  from  10  to  20 
pounds  in  weight  according  to  the  force  of  the  current, 
was  a  leaden  bar  whose  bottom  was  hollowed  out  and 
armed  with  grease,  in  order  to  bring  up  specimens  of  the 
bed  of  the  river.  The  patent  lead  was  also  used  for  the 
latter  purpose.  The  boat  was  rowed  some  little  distance 
above  the  proposed  section  line,  and  allowed  to  drift  down 
with  the  current,  the  sounding  lead  being  lowered  nearly  . 
to  tlie  bottom.  By  this  precaution,  the  deflection  of  the 
line  by  the  force  of  the  current  was  prevented.  When 
the  first  observer,  stationed  opposite  the  proposed  section 
line,  saw  tliat  the  boat  had  nearly  reached  it,  he  waved  a 
flag  as  a  signal  to  take  a  sounding,  and  then  carefully 
turned  his  instrument  so  as  to  keep  the  vertical  hair  of 
his  telescope  upon  the  point  where  the  chain  crossed  the 
junwale  of  the  boat.  The  recorder  in  the  boat,  seeing 
-he  signal,  waved  his  flag  to  the  second  engineer  to  follow 
the  boat  carefully  with  his  telescoipe.    Th^  man  with  the 


101 

nding    chain    allowed    it  to  slip  rapidly  through  ! 

is  until  the  lead  struck  the  bottom,  when  he  grasped 

chain  at  the  water  surface,  and  instantly  rose  to  a 

oding  position.     This  motion  was  the  si^al  for  arrest- 

the  movement  of  each  telescope,  and  recording  the 

les.     The  recorder  in  the  boat  noted  the  depth  of  the 

er,  and  the  nature  of  the  bottom  soil  adhering  to  the 

I.     By  the  angles  measured  at  the  base  line,  the  exact 

ition  of  the  sounding,  which  was  never  more  than  a 

feet  above  or  below  the  proposed  section  line,  was 

ertained.     The  process  was  repeated  until  soundings 

1  had  been  taken  to  give  an  accurate  cross  section 

the  river.     Careful  lines  of  level  were  then  run  up 

ih  bank  from  the  water  surface  to  points  above  the  level 

the  highest  floods,  when  such  points  existed,  or  to 

Er  convenient  bench-marks.     Generally,  the  triangles 

e  computed,  and  the  work  plotted  before  leaving  the 

e,  in  order  to  fill  by  additional  soundings  any  gaps 

ch  might  appear  on  the  diagram. 

At  places  where  a  series  of  daily  velocity  observations 

Was  to  be  made  additional  precautions  were  taken,  and 

two  independent  sections,  200  feet  apart,  were  sounded 

tvith  the  greatest  care.     Soundings,  repeated  from  time 

W   time    upon    these    lines,    uniformly    showed   that    no 

«nsible   changes   took   place    in    the   bed    of  the    river. 

['he  mean  of  all  such  sections,  when  reduced  to  the  same 

tage  of  the  river,  was  accordingly  always  taken  for  the 

rue  cross  section  at  the  locality.     The  change  in  area 

iroduced  by  any  change  of  level  in  water  surface  could 

lien  be  readily  computed  from  the  plotted  section.     To 

letermine  the  daily  changes  of   this  level,  a  gauge-rod, 

^duated    to   feet    and   tenths,    was  observed  daily,    its 

orrectnesB   of    adjustment    being    frequently   tested    by 

mn{>iu:ison  with  secure  bench-marks.    An  accurate  know 


102 

ledge  of  the  area  of  the  cross  section  on  any  given  day 
was  thus  obtained.  The  tables  of  soundings  for  each 
cross  section,  which  were  all  numbered,  also  denoted 
the  distance  of  the  sounding  from  the  base  line,  the 
depth  of  high  water  during  that  year,  and  the  nature  of 
the  bottom. 

Velocity  Meastireinents. — Narrow  and  straight  portions 
of  the  river,  where  the  form  of  its  cross  section  approxi- 
mated most  nearly  to  that  of  a  canal,  where  the  waters  i 
of  the  highest  floods  were  confined  to  the  channel  by 
natural  banks  or  by  levees,  and  where  the  river  at  all 
stages  was  free  from  eddies,  were  selected  for  the  per- ' 
manent  velocity  stations. 

The   depth   and   violence   of  the  river    rendered  the 
measurement  of  its  velocity,  especially  below  the  surface, 
exceedingly  difficult.      Of    all  the   methods    known  for 
determining   this   quantity,   that   by   double    floats  was 
found  to  give  the  best  results.     The  method  of  conduct- 
ing  these   observations   was   as   follows  : — Two   parallel 
cross  sections  of  the  river  having  been  made  as  already 
explained,  200  feet  apart,  a  base  line  of  the  same  length 
was  laid  off'  upon  the  bank  from  one  to  the  other,  being 
of  course  at  right  angles  to  both.     This  length  was  suffi- 
cient to  ensure  accuracy  without  being  too  great  either 
for  observing  many  floats  in  a  day,  or  for  avoiding  local 
changes  in  velocity.     An  observer  with  a  theodolite  was 
stationed  at  each  extremity  of  the  base  line.    It  is  evident 
that,  when  the  telescopes  were  directed  upon  the  river, 
with  their  axes  set  at  right  angles  to  the  base  line,  the 
vertical  cross  hairs  marked  out  the  lines  of  sounding  upon 
the  water  surface,  and  that  the  time  of  passage  of  a  float 
between  these  lines  was  that  consumed  in  passing  200 
feet.     Also,  that  if  the  angular  distance  of  a  float  from 
the  base  line  when  crossing  each  line  of  sounding  was 


nre^,  its  distance  in  feet  from  the  former  coulc!  reftdCy 
fc  computed,  aud  its  patb  fixed.  Upon  these  principles 
observations  were  conducted.  Two  skiffs  were  sta- 
ined on  the  river,  one  considerably  above  the  upper,  and 
B  other  below  the  lower  section  line,  the  former  being 
lQ?ided  with  several  teg  floats.  At  a  signal  from  the 
igineer  at  the  upper  station,  whose  telescope  was  set 
Ma  the  upper  section  line,  a  ttoat  was  placed  in  the 
The  keg  immediately  sunk  to  the  depth  allowed 
y  its  cord,  and  the  whole  float  moved  down  toward  the 
iWGr  line.  The  observer  at  the  lower  station  followed  its 
Htion,  keeping  the  cross  bair  of  his  telescope  directed 
instantly  upon  the  flag.  At  the  word  "  mark  "  uttered 
y  his  conipiinion,  when  the  float  crossed  the  upper  line, 
e  recorded  the  angle  shown  by  his  instrument,  and  then, 
itting  his  telescope  upon  the  lower  line,  watched  for  the 
rival  of  the  float.  In  the  meantime,  the  observer  at  the 
qiper  station,  whose  theodolite  supported  a  watch  with 
k  large  seconds  hand,  recorded  the  time  of  transit  of  the 
ist  across  the  upper  line,  and  then  followed  the  flag 
I  his  telescope.  At  the  word  "  mark  "  given  by  his 
sistant,  when  the  flag  crossed  the  lower  Une,  he  recorded 
'  line  and  angular  distance  from  the  base  line.  The 
lat  was  picked  up  by  the  lower  boat.  By  this  method, 
the  exact  point  of  crossing  each  section  line,  and  the  time 
of  transit,  were  ascertained.  When  the  velocity  was  not 
too  great,  the  time  was  noted  by  the  engineer  at  the 
lower  station  also,  to  guard  against  error.  A  stop  watch 
was  sometimes  used.  As  it  was  evidently  impossible  to 
observe  floats  daily  in  all  parts  of  the  cross  section,  the 
best  practical  method  was  I'ound  to  adopt  a  uniform  depth 
of  6  feet  for  all  the  floats;  distribute  them  equally  across 
ihe  entire  river,  and  allerwards  divide  the  resulting 
^rtelocities    into     groups    or    divisions    within    which    the  j 


104 

variation  of  velocity  was  but  slight;  a  mean  lelabi? 
velocity,  and  a  mean  relative  discharge,  for  each  divisioi 
was  then  computed,  the  sum  of  the  latter  being  as 
approximate  mean  discharge  of  the  river,  which,  when 
divided  by  the  area  of  the  whole  river  section,  gave  a 
mean  relative  velocity  for  the  whole  river.  '  The  resultmg 
discharge,  when  multiplied  by  the  ratio  of  the  velocity  at 
the  assumed  depth  (in  this  case  5  feet)  to  the  mean 
velocity  of  the  whole  vertical  curve,  gave  an  accaTala 
mean  discharge  of  the  river  for  that  place  and  day. 

Computation  of  Discharge. — A  separate  plot  of  each 
day*s  velocity  measurements  was  made,  in  the  following 
manner : — Lines  were  drawi\  upon  section  paper  to  repre- 
sent the  section  lines,  the  base  line,  and  the  water  edges 
The  distances  from  the  base  line  to  the  points  where  ead 
float  crossed  the  section  lines  were  then  computed  by  $ 
table  of  natural  tangents,  and  the  points  laid  down  or 
the  plot.  Straight  lines  connecting  the  two  correspond* 
ing  points  indicated  the  paths  of  the  floats,  which  wer< 
of  course  nearly  perpendicular  to  the  section  lines.  Th< 
number  of  seconds  of  transit  and  the  depth  of  the  floa 
was  inscribed  upon  these  plotted  paths. 

The  diagram  resulting  showed  that  the  velocities  ii 
different  parts  of  the  section  increased  gradually  and  quiti 
uniformly  with  the  distance  from  the  banks  until  tb< 
thread  of  the  current  was  reached,  and,  since  these  veloci 
ties  were  found  to  vary  but  very  slightly  for  distances  o; 
200  feet  apart  except  in  the  immediate  vicinity  of  th( 
banks,  the  diagram  of  the  daily  velocity  floats  was  dividec 
by  parallel  lines  200  feet  apart,  the  first  being  the  bas( 
Hne,  and  the  mean  of  all  the  velocities  of  floats  in  eacl 
livision  taken  as  the  mean  relative  velocity  for  that  divi 
sion  and  recorded.  For  the  shore  divisions,  unless  th( 
Souts  happened  to  be  well  distriWVeSi  ^i^\To^\^  >Jti&\sv,*OiL> 


105 

lueaii  reUtive  velocity  was  assumed  to  be  eight-tenths 
that  ia  the  outer  edge  ;  a  rule  deduced  from  a  suhdivision 
and  study  of  the  velocity  when  thoroughly  measured  in 
tlie«e  divisions. 

For  checking  and  making  interpolations  for  the  defect!' 
u'lservations  of  any  day  in  a  division,  the  day's  work  was 
also  plotted  in  a  curve  whose  ordinates  were  the  mean 
Velocities  of  the  diflerent  divisions,  and  whose  abscissas 
were  the  distances  of  their  middle  points  from  the  bass; 
Hue. 

The  river  channel  being  of  a  natural  form,  the  sectional 
iireas  of  all  the  divisions  were  unequal,  and  again  the  ratios 
ijt  these  areas  were  not  constant  for  diflerent  stages  of  the 
river.  Each  divisional  area  was  therefore  multiplied  by 
its  mean  relative  velocity,  and  the  sura  of  the  products 
v^'as  then  the  mean  relative  or  approximate  discharge  of 
tlio  whole  section  ;  dii-iding  this  discharge  by  the  total  area 
of  the  whole  section,  the  approximate  mean  velocity  of  the 
nver  was  determined.  This  computation  was  made  by 
'"garithms,  and  simplified  by  the  use  of  a  table,  constructed 
fur  the  purpose.  In  order  to  correct  these  discharges, 
"iiich  were  those  due  to  the  velocities  five  feet  below  the 
""■face,  it  was  necessary  to  determine  the  value  of  the 
ratio 


in 

4 


u» 


^.Q 


(■317  H-  Ob/)  (lOr  -  r*) 


^^TV'. 


'""1  multiply  them  by  it,  thus  getting  the  true  discbarges, 
■'IiIl-Ii,  when  divided  by  their  corresponding  areas  of  cross 

"t ion,  gave  the  final  and  correct  mean  velocity-  The 
""nerical  values  of  the  above  expression  or  ratio  were 

"Attained  in  the  following  way,  and  put  into  l\\e  foxra  oi 

ihe  iable  given. 


106 

The  days  on  which  obserTations  were  made  were  g 
according  to  even  feet  of  the  approximate  mean  ve 
already  computed,  it  being  assumed  that  the  effee 
the  desired  ratio,  produced  by  changes  in  mean  velc 
less  than  one  foot,  might  be  neglected.  Each  groi 
then  examined  in  connection  with  the  wind  reco] 
days  were  rejected  until  only  calm  days,  or  those  on 
the  wind  blew  directly  across  stream,  or  those  on 
when  combined  the  wind  effects  balanced  each  othe: 
left.  The  resulting  mean  day  in  each  group  wa 
equivalent  to  a  calm  day,  so  £ur  as  wind  effect  wa 
cemed.  The  following  mean  quantities  were  then  d 
for  each  mean  day  by  dividing  the  sum  of  the  qua 
by  the  number  of  days  going  to  make  up  the  mea 
viz.,  an  approximate  mean  velocity  of  the  river  (v),  a 
reading,. and  hence  a  mean  radius  (r),  and  mean  v 
five  feet  below  the  surface  (U),  found  by  taking  a  in 
the  tabulated  velocities  of  all  the  different  divisions. 

These  values  being  substituted  in  the  equation, 

iT  =  Urf  -  (1 856  V)*  (i^"^ 

putting  also  fif  =  5,  and  making  d^  =  '31 7r,  an< 

b  =  — t^ =   1856  when  D  7  30;  the  value 

(D  +  1-5)* 

was  computed  and  obtained. 

Next  this  value  of  U^^  was  introduced  into  the  sami 
tion  again  to  obtain  new  values  of  U,  first  for  a 
rf  =  0,  secondly  for  a  value  of  rf  =  r,  thus  getti: 

ace  and  bottom  velocities  denoted  by  U^  and  U^. 
ting  for  these  their  values  in  the  following  eq 

ther  with  those  computed  for  U^^  d^  and  r,  the  v 

was  obtained 


107 


1"^ 

<M.OO  C*  00  CX>  1^  r-t  CO 

:(NOieoooo;c^'* 

I'^coqooooKMC^ei 

00900090 

T^rHf^rHfHr^fHrH 

1-02271 
1-02389 
1-02494 
1-02519 

05 

0 
0 

■ 

'CO 


t^'^oocoeoi^oQoo 

icoi^ooica^oj 

:coc^iooit>-t^^»o 

.Gsl'NG<IrHr-lf-lf-li-l 
00000000 

•01142 
■01337 
'01518 
•01604 

rHr-«f— irHr- ti-Hf-Hi-H 

rH  r-i  -^  rH 

A 

J 


a 
o 

0 


O 


ft^  <M  *:0  CO  00  »0  (M 
CO  Q  -^  Gsl  rH  CO  «-H 
IS.  CO  »0  !>.  Oi  O  rH 
t^ts-OUOOOOOOOSOi 


»0  O  CC  <M  «0 
O:  rH  Oi  10  O 
OU  ?0  <X>  Ci  o 
t^  CO  00  CO  05 
O^  C^  O^  O)  O) 


OCOOOCOrHCOCOrH 
CilN.1— i^-^rHCirH 
COCN'^^t^O'-^CO 
lOCOt^t^t^OOOOOO 


CO  O  CO  CO 
^  ^  00  O 

OC  CO  t^  rH 

?o  t^  1>*  00 

Oi  O^  Oi  Oi 


rHTf<t^00O^i^»CCO 
0^t^rH<NOC0^C^ 
t>-00Oi^Q0rHCOiO 
CO'^»O^COI>»i^t>- 


O  CO  »o  -* 
-^  <N  Oi  "^ 
00  "^  00  <M 
JO  O  'O  !>• 
0*0  0)0^ 


1-00521 
100721 
1-00767 
1-00760 
100689 
1-00773 
1-00762 
100756 

1-00037 
100307 
100557 
1-00706 

0 

8 

• 

00«rHrJlt^I^r-«t^ 

«DO  00  CO 

CO 

»C»  Oi  <N  '^  'M  CO  Oi  <M 

:t^^i0^i>-ooooq> 

•  OOC^OdOO^^O^C) 

»C»  0  r-l  (N 

^ 

^.m.4 

a>  CO  0  00 

3 

QC  0  02  O) 

Ci 

CtfC^O^O^CdO^OO^ 

Oi  Oi  Ci  Oi 

Od 

•       •       •       • 

• 

o 

i 


00 


l« 


00^':oi>*Oir-iors. 

»-T)  rH  <M  Q  C^  'X)  >0  -^ 

Oa»OOP"^00(M»OI>* 

c<icO'^kO»c:o?o^ 

C^C.#C^OC^O^OdCd 


o 
o 


C5Ca05000*:OrHCO 
lOOrHOOOiCOO 

OCMCO-^-^kOiCkO 
0  00)^0030^^ 


^ 


OO-rf  ^  CO 
00  iC  rH  :0 
CO  "^  »o  »o 

Cd  O  O  Cd 


op  C^  CO  :o  G<i  c^ 

^  C5  Ol  Cj  00  ^ 


"^  '^  <M  -^ 

10  CO  ^  '^  CO 


r-i^CO'^'^tOt^CO 


>o  o 


00  o  ^  00  ri 

CO  rH  !>•  <X>  (M 

8  rH  iC  CO  »0 
-^  o  t^  p 

00  "^  »b  ^  i>^ 


CO 


08 

< 

I 


< 
o 


/ 


pO 

H 

:5 


to 

CO 

pK 

o 


108 

substituting  the  resulting  value  of  U.  in  the  following 
equation : — 

U« Ym 

U.    -^  U,„  +  [1  +  WfOe/HIOr-O-SSj  (^^), 

also  those  already  deduced  for  v  and  r  and  2,/alone  remained 
unknown ;  by  giving/  its  value  successively  for  each  of  the 
various  forces  and  direction  of  the  wind,  the  table  at 
Page  107  for  the  stations  was  computed. 

The  approximate  discharge  for  each  day  at  each  station 
was  multiplied  by  the  ratio  in  the  table  most  nearly  cone* 
sponding  to  its  approximate  mean  velocity  to  obtain  the 
true  discharge,  from  which  the  true  mean  velocity  was  then 
obtained. 

7.— FIELD    OPERATIONS    IN    GAUGING    CREVASSES  BY 

CAPTAINS   HUMPHREYS  AND  ABBOT.  ' 

The  phenomena  observed  in  the  discharge  of  water 
through  crevasses,  or  breaks  in  levees  at  seasons  of  high 
water,  were — 

1.  That  the  effect  of  every  crevasse,  even  though  as 
large  as  327  feet  wide  and  15  feet  deep,  along  the  line  of 
levee,  extends  only  for  a  short  distance  from  the  bank ;  iri^ 
the  above  instance,  it  did  not  affect  the  line  of  motion  oC 
floating  bodies  passing  200  feet  from  the  natural  bank,  orr 
300  feet  from  the  break  in  the  levee. 

2.  Between  the  crevasse  and  the  outer  limit  of  its  influ-' 
ence  there  is  always  a  movement  of  the  water  towards  Jh^ 
break  from  all  points  below  and  above,  which  increasei^ 
towards  the  break,  and  rapidly  diminishes  on  reaching  th^ 
ground  in  rear  of  the  levee,  where  it  spreads  in  every  direc^ 
tion,  but  mostly  towards  the  swamps, 

3.  There  is  a  sensible  slope  aloivg  t\\vi  course  of  this 


109 

In  passing  the  break,  whether  by  a  cascade  or  no! 
rater  is  higher  in  the  middle  oj'  the  opening  than  s 
r  side, 
fhe  following   was  the  ordinary  method   of  compu! 
a    discharge.      Knowing,  from    measurements   ma< 
T  the  cessation  of  the  flow,  the  high-water  depth  of  tha 
vpQ  crevasse,  which  was  estimated  on  the  line  of  levee,  ii 
t)  material  excavation  was  made  there,  and  on  the  batturs 
h  front  of  the  levee,  if  holes  were  dug  on  the  line  of  thd 
Ibreak ; — the  depth  on  the  given  day  was  found  by  subi 
ItractiDg  from  this  high-water  depth  the  stand  of  the  rivi 
Ibelow  high-water  mark — a  quantity  which   was   alwayi 
I  known  either  from  local  information  or  from  a  comparisoijc 
f  of  tLe  nearest  river  gauges.     Taking  D  to  represent  thijj 
depth,  and  W^  the  maximum  width  of  the  crevasse  after  ' 
ti>isation  of  flow;  and  knowing  from  exact  information  the 
•hte  of  breaking  of  the  levee,  and  that  of  the  cessation  of 
iluw,  the  width  of  crevasse  of  any  desired  day  could  be 
computed  ;  and  the  required  discharge  per  second  was  then 
a-^sutned  to  be  equal  to  the  continued  product  of  this  width 
",tlie  depth  D,  and  the  velocity  (v) ;  orQ  ^  W,  x  D  x  v; 
''">   velocity   when    D    was   less  than  4  feet  was   taken 
^2'S18  vD  (Castel's  weir  formula);  and  when  D    was 
17 


jeatcr  than  3  feet,  v  was  taken  =  10  - 


the  general 


taulte  for  discharge  corresponding  to  each  case  being 


I  Q  =  (100 
Q  =  (100  -I 


/■w-ioo\^/^     n\ 


■e  »  =  number  of  days  of  discharge  which  have  pra 
^^^ed  the  given  day,  and  N  =  total  numVieT  o?  ^a.'^^l 
iscJiarge. 


h: 


110 


Coeffictent  of  eofrecti<m/or  ipeeial  enm  qftfwamm:^ 

There  are  cases  in  which  {he  conditions  of  {he  flow  of 
water  were  considerably  modified ;  such  as  wh^n  {he  leiA 
was  so  far  distant  from  {he  livertiiat  {he  deptihat  theedge 
of  the  natoral  bank  was  mnch  less  than  that  at  the  iM 
of  the  levee ;  or  when  trees,  a  growth  of  saplings,  or  ^/Sbxt 
obstacles  existed  in  front  or  in  rear  of  {he  break,  botii  of 
'  these  causing  a  diminution  of  discharge.  80  when  fk 
reported  depth  of  crevasse  indaded  that  of  previously 
existing  excavations  on  the  line  of  lev^,  in  these  cases 
the  resulting  calculated  discharge  would  be  too  high,  and  it 
then  became  necessary  to  apply  in  each  case  a  special  coeffi- 
cient of  correction.  The  coefficient  for  crevasses  flowing 
into  the  Yazoo  bottom  was  thus  determined.  The  areas 
of  these  bottom  lands  and  their  watersheds  were  as  fpllows, 
in  square  miles : — 

Yazoo  bottom     

Yazoo  watershed  

St.  Francis' bottom      

St.  Francis'  watershed 
Tennessee  and  Kentucky  bottom 
Tennessee  and  Kentucky  watershed 

The  yearly  rainfall  in  feet  was — 
At  New  Harmony,  Indiana     . . . 

At  West  Salem,  Illinois 

At  St.  Louis,  Missouri     

Mean  downfall  at  head  of  region 

At  Memphis,  downfall  for  middle  of  region 

At  Jackson,  downfall  for  foot  of  region  ... 


7110 
6740 
6900 
8600 
750 
9500  J 


Total. 


34,600 


392 
402 
5-18 


•  •  • 


4-38 
4-4S 

4-«9 

feet 

4-60 


Mean  for  whole  region        

Giving  total  yearly  downfall, 

=  34  600  X  4-6  X  (5280)*=  4  4*iT  l^ft  V44  000  cubic  feet. 


I  obtain  tlie  total  yearly  drainage,  the  discharge  at 
Wambus,  together  with  that  of  the  Arkansas  and  White 
Krers,  was  deducted  I'rom  the  discharge  at  Vicksburg ;  and 
1  this  also  a  deduction  was  made  of  the  river  during 
le  year  between  Columbus  and  Vicksburg  being  lower  by 
Imean  difference  of  6'8  feet  throughout  a  mean  width 
(3300  feet  for  5S9  miles  in  length;  thus  getting  the 


4  372  572  757  200 
Channel  drainage       ...  09  786  004  800 

Total  yearly  drainage       4  302  TS6  152  400  cubic 
d  ratio  of  drainage  to  downfall  is  hence 

_4  302  786  152  400_.,,^^^^^,y 


4  437  126  144  000 

Next,  the  total  rainfall  for  the  Yazoo  basin,  area 
13  850  square  miles,  for  from  1st  December,  1857,  to 
15th  Jnly,  1S58  =•  3-64  feet  x  13  850  (5280)^  = 
1405  401  657  600  cubic  feet;  the  mean  rainfall  3-64  during 
tliat  time  being  determined  by  register  at  Memphis,  3"19, 
and  at  Jackson,  408  feet ;  applying  to  this  rainfall  the  co- 
cllicient  of  drainage  before  determined,  the  drainage  froni 
the  Yazoo  basin  =  1  349  243  191  300  cubic  feet. 

The  area  of  the  Yazoo  bottom  was  dry  on  the  1st 
December,  1867,  but  at  high  water  15th  July,  1S5S,  it 
li;id  a  mean  depth  of  water  of  3'08  feet  over  an  area  of 
lisOO  square  miles  ;  having  received  between  those  dates 
BOO  X  (5280)  X  3  08  =  583  885  209  600  cubic  feet, 
md  the  dischai'ge  of  the  channel  of  the  Yazoo,  the  sole 
intlet.  was  measured  during  this  time  =  1  408  665  000  000 
inbicfeet.  Hence.  1092  550  809  600  cubic  feet  repre- 
aited  the  total  quantity  which,  entering  the  Yazoo  basin 
ntween  those  dates,  eventually  drained  off  into  the  M 
isippi;  and  the  total  amount  of  OTerflow  from  the 
pnppi  basin  into  the  Yazoo  basin  was  \  002  5v)Q 'S'i^ 


I 


112 

—  1  349  243  191  300  —  643  307  618  300  cabic  feet ;  this 

quantity  as  computed  by  the  uncorrected  crevasse  formula 

was — 

1758  153  600  000; 

hence  the  required  coefficient  of  correction  for  the  formula 

equals  the  former  divided  by  the  latter  =  nearly  •^.     This, 

therefore,  holds  good  for  the  crevasses  in  the  district  for 

which  it  is  obtained,  and  the  same  principle  can  be  applied 

to  any  district. 

8,— SYSTEM  PROPOSED  BY  HUMPHREYS  AND  ABBOT 
FOR  GAUGING  RIVERS,  STREAMS,  OR  CANALS  BY 
MEANS  OF  OBSERVED  MID-DEPTH  VELOCITIES. 

The  details  of  field  operation  to  be  adopted  differ  ac- 
cording to  the  size  of  the  river.  1st.  If  the  river  be  small 
and  considerable  exactness  be  required,  the  boat  should 
be  anchored  at  various  equidistant  stations,  the  banks 
being  considered  two  of  them,  and  the  station  actual 
mid-depth  velocities  measured  by  any  of  the  known 
methods;  the  number  of  stations  being  sufficient  to 
prevent  the  velocity  of  the  water  between  any  two  of 
them  from  varying  materially.  2nd.  In  the  case  of  a  large 
river,  if  the  depth  is  uniform,  sufficient  accuracy  may  be 
obtained  by  observing  the  times  of  transit  of  a  large 
number  of  double  floats  well  distributed  across  the  river 
section,  the  kegs  being  uniformly  sunk  beneath  the  surface 
to  a  depth  equal  to  half  the  hydraulic  mean  radius  of  the 
river.  Should  it  happen  that  the  cross  section  is  not 
sufficiently  uniform  and  symmetrical  to  admit  of  this, 
be  site  or  reach  is  ill  chosen  for  the  purpose.  The 
esults  should  then  be  plotted  and  grouped  into  divisions 
of  equal  width,  and  the  mean  result  for  each  division  cal- 
calated,  including,  of  course,  mtetpoVaViedi  \^ocs\Aft^  ^wJSSl 
^^J"  be  missing. 


113 

'  water  in  the  river  should  be  noted  on  a 
aeut  gauge-post  during  tlie  observations,  or  before 
ter.      By  this  method  the  results  obtained  will  be 

first  case  absolutely,  and  in  the  second  case  nearly, 
eted  by  the  wind,  no  matter  what  its  direction  or 
may  be. 

5  method  of  computing  the  discharge  from  these 
rations  will  vary  according  to  the  accuracy  required. 
at  method. — A  close  approximate  result  may  be  ob- 
1  by  taking  a  mean  of  all  the  different  station  or 
on  mid-depth  velocities,  and  applying  a  coefficient 
i  for  large,  and  "93  for  ordinary  rivers,  to  obtain  the 

velocity  of  the  river.  In  this  method  there  are 
;auses  of  error  which  very  nearly  balance  each  other, 
ly,  the  inequality  in  area  of  the  different  divisions, 
he  difference  between  the  mid-depth  aud  mean  velo- 

in  any  vertical  plane,  and  the  above  coefficients  meet 

errors.     For  a  rectangular  cross  section,  no  coeffi- 

is  required. 
tsjnd  method. — If    greater    precision    be   required,    a 

accurate  mean  velocity  of  discharge  of  the  river 
nay  be  computed  by  substituting  the  grand  mean  of 
le  station  mid-depth  or  division  velocities  for  U,.  in 
blowing  fonnula, 

t_  r(l-08U, -I- 0(102*)*— 0046**1' 
mala  is  deduced  by  substituting  for  U,„  its  value 
in  the  general  expression, 


n,  =  u„, 


W 


IneTng  the  resulting  equation. 

has   been   alread/  stated,  when  the   mean  taiJiaa 
is  12  feet,  i  =  -JSoG,  and  under  any  ciicuma'ta.'nRieal 

ft 


114 


"^  , r-^i.     The   formula  therefore  frives  at  once  i 

(r  +  I'o)'  ^ 

the  mean  velocity  of  the  rirer ;  and  thia  simple  method  H 
quite  exact  in  ordinary  river  sections^  though  not  i^] 
cable  to  rectangular  sectuMu^. 

T/iird  method. — Should  however  a  very  high  d^;ree 
accuracy  be  required  for  testing  fonDul8e»   or  eoi 
coefficients,   an  amount  of  exactitude  affected  only 
instrumental  errors   of  observation  may  be  secured 
substituting    the  different  observed  division  mid- 
velocities  successively  for  Yd  in  the  formula 

r 

V«,  -  Vo  -  ^  («v)* 

and  the  results  will  be  true  values  of  the  mean  velocii 
of  the  different  divisions  in  terms  of  v*  and  knoi 
quantities*  The  sum  of  the  products  of  these  expressi( 
by  the  corresponding  division  areas,  should  be  pi 
equal  to  the  product  of  v  by  the  total  area  of  the 
section ;  and  tliis  equation,  involving  v  and  v*  and  knOi 
quantities,  will  give  two  positive  values  of  v  j  the  less 
which,  corresponding  to  the  actual  case  when  the  velocii 
is  greater  at  the  axis,  is  the  value  of  the  true  mean  velocii 
of  the  river.  This  method,  though  accurate  in  principl 
is  probably  not  so  good  for  ordinary  purposes  as  the  pre-] 
vious  more  simple  one,  which  neglects  the  latter  attem] 
at  extreme  accuracy  and  involves  less  observation,  and- 
consequently  less  instrumental  error,  as  well  as  le* 
labour. 


.—GENERAL  i3B0T'S  METHOD  OF  DETERMINUfG  ON 
ANY  GIVEN  DAT  THE  DISCHARGE  OF  A  LARGE 
ElIVER  THAT  HAS  BEEN  PREVIOUSLY  SURVEYED 
AND    GAUGED. 

The  previous  field  operations  consist  of  a  survey  and 
anierous  soundings  of  a  straight  and  regular  portion  of 
tie  channel  between  two  bench-marks,  A  and  B,  fixed 
jermauentlj  near  the  water,  whose  relative  levels  arq 
keeurately  known.  An  accurate  plan  of  the  river  between 
iese  points  is  necessary,  the  mean  cross  section  derived 
from  the  soundings,  and  a  series  of  careful  gaugings  of 
Kbe  river  on  permanent  gauge-posts.  It  is  desirable  that 
tte  course  of  the  river  between  A  and  B  should  be  as 
itraight  and  regular  as  possible,  in  order  to  eliminate  to 
ihe  utmost  the  effect  of  bends,  although  allowances  almost 
livariably  must  be  made  on  that  account.  The  points  A 
ad  B  should  be  well  chosen,  as  far  apart  as  practicable,  and 
istant  from  any  eddy,  and  be  placed  where  the  current  on 
he  bank  flows  with  equal,  velocities.  The  latter  coindtion 
I  necessary,  because  water  in  motion  exerts  less  pressure 
ban  when  at  rest,  and  if  it  moves  rapidly  past  one  bench- 
Dark,  and  is  nearly  stationary  at  the  other,  a  did'erence 
if  level  independent  of  the  motive  power  of  the  stream 
vould  vitiate  the  observations. 

On  the  required  day  the  water  surface  at  each  end  of 
the  reach,  A  and  B,  has  to  be  simultaneously  leferred  by 
accurate  levels  to  the  bench-marks,  to  obtain  the  diflerence 
iif  level  of  water  surface  and  the  gauge  depths.  Nothing 
aiore  is  required.     A  calm  day  should  be  selected. 

The  formula  to  be  used  is  that  given  in  the  paragraph 
on  velocities  : 


I 


■OOaii  +  (226  r.  ./l)' 


■094 


116 

the  terms  of  which  hare  been  already  explained,  excepting 
s ;  in  this  case  s  is  the  sine  of  the  slope  of  the  water 
surface  corrected  for  bends,  and  is  obtained  nomerically 
by  subtracting  the  value  of  i^  due  to  jeffect  of  bends  (rufe 
Paragraph  on  Bends)  from  the  total  fifidl  between  the  levd 
stations,  and  dividing  the  difference  l^  the  total  distance 
between  them,  measured  on  the  middle  line  of  the  channd. 
The  method  of  successive  approximation  must  be 
adopted  to  find  the  value  of  v  in  this  formula.  The 
following  formulsB  give  the  value  of  each  variable  in  the 
above  equation  in  terms  of  the  others  and  known  quantities; 
taking  Z=:*93  v+167  y/ivBni  assuming  /?=:ld5W, 
should  it  not  have  been  measured — 


s  = 


V  195r/  195  ^s  '      p  +  W 


J       .   XTT      195  a  ^s  n 
and  /;  +  W  =  — ^  ^    ? 

For  small  streams. — General  Abbot  modifies  the  above 
formula  into  the  following,  where  v'  is  the  value  of  the 
first  term  in  the  expression  for  v — 

V  =  1^  0081d  +  (225r,  ^s)  -  -09  ^b]  -TTp" 
or  putting  M  =  008 Id  and  M,  =    ^'^ 


1  -^p 
V  =  I  y/M  +  225r,  >/b  -  ^/mV-  M'  ^V 

in  which  the  term  involving  M'  may  be  neglected,  for 
streams  larger  than  50  or  100  feet  in  cross  section ;  and 
for  large  rivers  exceeding  12  or  20  feet  in  mean  radius  M 
but  not  yJM.  may  be  neglected.  The  following  table 
facilitates  the  application  of  the  formula. 


^^^1 

H 

n 

"1 

^^^^^^^^^H 

_  J 

1 

11. 

VM. 

p- 

M'. 

Log.  M'. 

1 

0-0037 

0-0930 

5 

0-400 

9-602060 

2 

00073 

0-0855 

6 

0343 

9-535294 

3 

00065 

0-0803 

7 

0-300 

9-477121 

4 

0-0058 

0-0764 

8 

0-267 

9-426511 

5 

0-0054 

00783 

9 

0-2« 

9-S80211 

6 

0-0050 

007O7 

10 

0-218 

9-338456 

7 

0-0047 

0-0685 

12 

0-185 

9-267172 

8 

00044 

0-0666 

14 

0-160 

9-204120 

9 

0-0042 

0-0649 

16 

0-141 

9-149219 

10 

0-0040 

0-0634 

18 

0-126 

9-100371 

12 

00037 

0-0610 

20 

0-114 

9-056906 

U 

0-0035 

0-0590 

22 

0104 

9017033 

16 

0-0033 

0-0573 

24 

0-096 

8-982271 

18 

0-0031 

00558 

26 

0-089 

8-949S90 

20 

0-0029 

0-0544 

28 

0-083 

8-919078 

30 

0-0024 

0-0494 

30 

0-078 

8-892095 

50 

0-0019 

0-04a7 

60 

0-047 

8-672098 

100 

0  0013 

O-0369 

100 

0-024 

8-380211 

).  — THE    EXPERIMENTS   OF   D'ARCY    AND    BAZIN    ON       ^| 

THE  RIGOLES  DE  CHAZILLT  AND  GROSBOIS  IN  1865.         ^M 

The  details  of  the  mode  of  conducting  these  experiments,      ^H 
hich  were  conducted  in  small   channels  under  various      ^H 
mditions,  with  the  principal  object  of  ohtainlng  coeflici-     ^^^ 
its  of  reduotion  due  to  various  aurfacea  of  bed  and  banke,  ^^J 

118 

cannot  fail  to  be  interesting  to  those  inteiKidiiig  to  gaag«  i 
channels  of  any  description.  < 

The  canal  of  supply  was  Bief,  No.  67,  of  the  Canal  do^ 
Bourgogne,  from  which  the  water  was  taken  into  a  re* 
ceiving  chamber  through  four  iron  sluices,  1™  wide,  and^ 
being  capable  of  being  raised  0*40*,  having  their  sills  O'60^^ 
below  ordinary  water  level  of  the  canal.  This  chamber 
was  5-40"  wide  by  1400"  long,  having  its  bottom  O'^flT^ 
below  the  entrance  sills ;  the  gauge  sluices  opening  fiom^ 
it  into  the  channel  of  experiment  were  of  brass,  twdve  in - 
number,  each  having  a  section  oi  passage  when  opened  of  ^ 
0*20"  X  0'20".  and  having  their  sills  0-40*  above  the  botixmi- 
of  the  chamber,  and  0*40"  below  the  sills  of  the  entrance- 
sluices  before  mentioned.  These  orifices  resemble  thoee^ 
of  the  type  employed  by  Poncelet  and  Lesbros,  and  would, 
according  to  them,  require  a  coeflScient  of  reduction  of 
discharge  of  0*604,  provided  that  the  effect  of  the  velocity 
of  approach  be  neglected;  in  this  case,  however,  it  aug- 
mented the  discharge,  and  an  allowance  had  to  be  made 
on  that  account.  The  water  in  the  chamber  was  constantly 
kept  at  a  level  of  0*80"  above  the  centre  of  the  gauge 
sluices ;  an  appliance  for  showing  the  slightest  variation 
of  its  level  being  continually  watched  by  a  sluice-keeper. 

The  channel  of  experiment  was  450°"  long  before  it  com' 
menced  to  bend  towards  the  river  Ouche ;  it  was  water- 
tight, and  was  lined  with  planks  of  poplar  :  its  fall  for  the 
first  200"  was  0*0049  per  metre,  and  for  the  next  250"*  was 
0002  per  metre  up  to  the  bend,  after  which  its  fall  to  the 
river  for  the  remaining  146°"  was  0'00S4  per  metre.  The 
different  provisional  constructions  for  employing  various 
inclinations,  and  sections  of  diffierent  forms,  were  made 
in  plank  within  this  channel,  the  spaces  being  filled  witi 
rammed  stiff  earth.  Nails  were  driven  into  the  bottom  of 
the  channel  at  various  points  to  serve  as  bench-marks,  from 


119  I 

■hk'h  everj-  variation  in  depth  of  water  could  be  obtained  I 
'ith  exactitude.  Most  of  the  experiments  were  made  by  I 
ni*cessively  opening  the  twelve  gauge  sluices,  having  on«  I 
]  section  and  amount  of  supply  in  each  case,  and  thu»  1 
.  e  results  were  obtained  for  comparison  in  every  experi- 
mtiitt  conducted.  , 

The  velocities  were  principally  observed  by  means  of  , 
I'Aicy's  gauge-tube,  an  improvement  on  that  of  Pitot ; 
pot  in  some  cases  alao  by  floats.     The  latter  were  some- 
kunes  simple  wafers,  and  sometimes  pieces  of  wood  or  cork   I 
■fcighted  with  lead,    2^  inches  in  diameter,   and  1  inch 
Stick ;  their  times  of  transit  over  distances  of  from  40  to 
PD  metres  were  noted  by  chronometers  indicating  fifths  of 
pBconds,   and  the  mean  of  five  or  more  observations, 
blrhich  the  float  I'ollowing  the  course  of  the  axis  of  the  | 
pihannel  was  adopted  as  finally  correct. 


TkefoUovsing  wits  the  mode  of  determining  the  meamrement 
of  divckarffe  at  tkt-  off4ake. 

The  coefficient  of  discharge  at  the  four  entrance  sluices  ^ 
*«  determined  by  closing  the  lower  sluices  and  noting  the  , 
Kme  in  which  the  former  filled  the  chamber  to  a  certain  \ 
beight ;  in  this  way  the  following  coefficients  were  obtained 
for  a  bead  on  the  sill  of  from  0"55"  to  OTO",  when  one  J 
single  sluice  was  opened  at  a  time. 

Sluice  raised.  CoeSicietit. 

010" 0045 

0-20- C-633 


0-30-  , 
0-40- 


0-681 
0-021 


^Vlien  the  four  sluices   were  opened  at  once  to  the  full 
litisht  0-40",  the  coefficient  was  0-037,  instead  of  0  Oil. 
It  was  hence  evident  that,  in  order  to  obtain  a  sufficiently 


120 

conBtaot  diaclmrge,  tliu  use  of  the  8eco.;d  set  of  tweh 
slnices  becanu-  absolutely  necessary.  The  conditions  c 
coDstructioD  of  the  latter  did  not  howcTer  render  the  cot 
traction  complete,  and  hence  the  coefficients  of  Poncelt 
and  Leabrofl  «ero  not  applicable  to  thein.  In  order  to  bai 
effected  thi«,  a  chamber  large  enough  to  entirely  annihilat 
all  velocity  would  have  been  necessary,  the  sluices  shoal 
have  been  further  apar*  «"''  *heir  sills  should  havf  bee 
at  least  O'&U"  above  the  m  of  the  chamber.     Itwi 

hence  necessary  also  to  d  line  the  coefficients  of  dii 

charge  for  these  sluices  b;  ct  observation. 

In  Jane,  1S57,  experir  were  made  with  this  objof 

a  portion  of  the  channel  was  osed  up,  and  filled  by  opei 
ing  one,  two,  three,  &c.,  up  twelve  sluices  at  a  time,  ai 
the  Tolameti  tlms  discharged  in  a  certain  time  careful 
measured.  The  discharges  per  second  were  in  these  cas 
from  O'lOS  to  1'242  cm.;  and  when  each  sluice  w 
opened  separately  the  discharges  varied  between  O'lOt 
and  0'1057  cm.,  giving  coefficients  varying  from  0645 
0658.  The  irregularity  of  the  latter  was  considered  d 
to  the  irregularity  of  form  of  the  bottom  of  the  portion 
channel  filled  not  allowing  the  exact  volume  to  he  calc 
lated :  hence  a  mean  coefficient  of  0*650  was  adopted  pi 
visionallj  for  any  number  of  sluices  open  at  one  tin 
In  1860,  it  was  determined  to  obtain  this  coefficient  wi 
greater  exactitude,  and  further  experiments  were  made : 
the  practical  details  were  carefully  reinvestigated :  i 
influence  of  the  variations  in  depth  of  the  bief  or  cai 
of  supply  was  eventually  found  to  exercise  no  eflfect  on  I 
irregularities  ;  the  gauge  used  was  supplanted  by  a  gl 
tube  having  a  mouthpiece  of  1  millimetre  in  diameter, 
means  of  which  variations  in  depth  of  water  as  small  at 
millimetre  could  be  easily  read.  The  results  under  th 
'  conditions  were  thus  : — 


For  a  discbarge  from  1  sluice,  the  coefficient  was   0"()33 

2  sluices,  „  0'642 

A       „  „  0646 

4       „  „  0-649 

6       „  and  upwards  to  12     0'650 

For  a  sluice  raised  only  OlO"  instead  of  being  fully 

opened,  the  coefficient  was  found  to  depend  on  the  number 

of  other  sluices  open,  thus: — 

When  1   other  is  opened  full,    the  coefficient  for 

the  partly  opened  one  is 


5  and  upwards 


0-650 
0-657 
0-660 
0-662 
0-663 


The  determination  of  the  coeffident  for  reduction  for  the  

gaiiffe-luhe.  ^^| 

This  was  effected  by  three  methods —  ^H 

.  Ist — By  comparing  the  velocities  obtained  by  means  of 
J  tube  with  the  surface  velocities  shown  by  floats.     The 
pia  according  to  the  floats  were  obtained  in  channels  2 
tetres  wide,  having  a  discharge  furnished  by  five  sluices 
at  a  time :    the  results  gave  a  coefficient   varying 
■om  0-9R1  to  1"039  as  extremes,  and  1006  as  the  mean 
•  all. 
2nd. — By  moving  the  instrument  at  a  known  velocity 
in  a  mass  of  still  water.     The  floats  and  the  gauge-tube 
—were  drawn  by  men  lor  a  distance  of  450  metres,  each  50 
hietres  furnishing  a  set  of  observations  ;  the  obliquities  of 
Bhe  course  of  traction  furnished  the  principal  obstacle  to 
^Briving  at  a  very  exact  result.     The  velocities  employed 
Baried  from  0609  to  30.34  metres,  giving  coefficients  of 
Bbduction  varying  from   1015  to  1'053  as  extremes,  the 
^neneral  mean  of  all  being  1  '034 :  this  was  coDsidered  £f 


124 

of  various  engineers  of  the  French  Fonts  et  ChuBsees  on 
the  Seine  and  S&one. 

The  second  result  was  the  following  formula  for  Yelodtj: 

XT  ==  the  mean  velocity  of  discharge. 

Y^=  the  maximum  velocity  observed  in  the  secfacn. 

~'=1  +  14v/A?orV,-U  =  14v/SS^ 


or  in  the  form  most  useful  in  the  cases  in  which  maximiim 
velocities  are  observed  as  data  for  gauging, 

U  =  V,  —  14  v/BS" 
Using  values  of  A  from  0*00015  to  0*003  the  correspond* 
ing  values  of  «r  become  thus : — 

A  ^ 


000015 

•  •• 

•  •  • 

...     0-854 

00005 

•  •  • 

•  •  • 

...     0-762 

0001 

•  •  • 

•  •  • 

...     0-693 

0-002 

•  •  • 

•  •  • 

...     0-615 

0003 

•  •  • 

•  •  • 

...     0666 

The  above  expression,  involving  terms  not  included 
in  that  of  De  Prony  for  the  ratio  of  maximum  to  mean 
velocity  of  discharge,  does  not  admit  of  comparison  with 
it ;  bat  is  evidently  calculated  to  supersede  it  entirely. 

The  reduction  of  both  of  these  results  to  English 
measures  is  given  in  Chapter  I. 


11.— THE   GAUGING  OP  GREAT  RIVERS  IN   SOUTH 

AMERICA,  BY  J.  J.  RjSVT. 

The  most  recent  operations  in  gauging  very  large  rivers 
were  conducted  by  J.  J.  Bevy :  the  account  of  these  is 
given  in  Bevy's  "  Hydraulics  of  Great  Bivers  "  (LcmdoBi 


I  135 

bd  includes  a  description  of  the  method  he  adopted 
■mining  the  discharges  of  the  Parana,  La  Plata, 
de  las  Palmas,  and  the  Uruguay,  from  wliich  the 
g  brief  resume  of  operations  is  taken, 
lems  to  have  been  a  work  of  some  time  and 
f  to  find  a  reach  of  the  Parana  sufficiently 
for  conducting  gauging  operations  and  velocity 
ments  ;  a  hundred  miles  of  the  river  were  searched 
ssfuliy,  but  at  last  a  reach  straight  for  many  miles 
ad.  Here  the  river  was  about  a  mile  in  breadth, 
.soundings  showed  from  o  to  71  feet  of  water;  a 
Ced  in  the  stream  did  not  show  a  variation  of  level 
rater  surface  of  as  much  as  a  quarter  of  an  inch  in 
four  hours  ;  and  the  inclinal;ion  of  the  water  surfiice 
nile,  was  practically  nothing. 

all  observed  by  levelling  for  one  mile  with  a  14- 
el,  on  equidistant  staves  placed  300  feet  apart,  was 
m  "01  of  a  foot;  it  was  therefere  practically  ira- 
lunder  the  existing  state  of  the  river  bank,  which 
I  adapted  for  levelling,  and  with  the  instruments  at 
J  carry  out  levelling  operations  with  any  efl'ective 
as  it  would  have  involved  ten  miles  of  levelling  on 

{ground,  and   probably   required  also  the  use  of 
instraments. 

86  line  of  3000  feet  was  measured  on  the  low-lying 
k  of  the  river,  with  a  steel  tape  of  300  feet;  and 
ire  set  out  at  right  angles  at  each  end  of  it,  to 
le  direction  of  a  river-section- line  for  soundings ; 
minent  points  in  the  neighbourhood  and  on  the 
tnk  were  triangulated  and  tied  into  this  base  line. 
IS  found  that  for  the  surs-eying  and  triangulation 
ither  calm  weather  or  clear  weather  with  a  gentle 
ffas  absolutely  necessary; — for  current  observations 
tya  only  allowed  of  operations  being  carried  on.         \ 


126 

The  soundings  on  the  lines  of  section  were  taken  by  the 
lead  and  cord ;  the  length  of  cord  was  measured  bj  a  tape 
at  each  sonnding,  each  of  these  measnrementa  taking  one 
minute,  and  the  position  of  each  sonnding  was  fixed  by 
angular  observation,  with  a  3-inch  pocket  sextant  giring 
readings  to  one  minute,  on  the  two  flags,  one  at  each  end  of 
the  base  line.     The  angles  were  observed  in  from  three  to 
ten  seconds  each.     The  number  of  soundings  taken  in  the 
section  varied  with  the  necessity  for  them :  it  was  neceuaij 
to  show,  and  hence  also  to  find  the  points  in  the  river  bed 
where  there  was  a  change  of  lateral  slope,  however  many 
they  might  be,  but  in  places  where  this  slope  was  regdu 
and  gradual,  the  soundings  were  not  considered  necessuj 
at  closer  distances  than  from  one-twentieth  to  one-teutii 
of  the  breadth  of  the  river.     The  section  of  the  Parana, 
where  its  breadth  was  more  than  4800  foet,  was  sounded 
in  two  hours  and  sixteen  minutes,  after  all  the  preliminary 
arrangements,  drilling  of  the  men,  &c.,  had  been  properly 
carried  out. 

In  plotting  the  section,  the  position  of  each  sounding 
was  fixed  both  by  means  of  the  complements  of  the 
angles  observed  at  those  points,  and  the  calculated  dis- 
tances from  the  base. 

The  velocity  measurements  were  made  with  the  screw 
current  meters  previously  described.  As  the  velocities  had 
sometimes  to  be  observed  at  great  depths,  the  ordinary 
method  of  lowering  the  meter  to  its  position  by  sliding  it 
on  an  iron  standard  was  utterly  impracticable,  and  the  fol- 
lowing mode  was  adopted.  The  current  meter  was  attached 
to  one  end  of  a  horizontal  iron  bar,  9  feet  long,  2  inches 
wide,  and  half  an  inch  thick,  which  was  suspended  by 
chnins  passing  through  rings  attached  to  it  from  a  boat 
moored  over  the  required  spot ;  in  order  also  to  prevent 
the  current  from  moving  the  bar  from  its  proper  position, 


■  ^^^  I 

R  from  the  rings  of  the  bar  were  also  attaclied  to  other  | 
i  boats,  one  moored  100  yards  up  stream,  the  other  100  | 
ds  down   stream.     By  these  means  the  current-meter  I 
Id  be  used  with  good  etlect  in  water  up  to  100  feet  in  | 
>th,  and  in  currents  op  to  5  miles  an  hour.    Four  i^ailors  | 
•e  necossary  iu  taking  current  observations  in  this  way.    j 
e  observations  of  velocity  were  generally  taken  by  an 
nersion  of  the  current-meter  for  about  five  minutes,  the  j 
le  observed  by  the  watcli  being  generally  a  few  seconds  I 
re  or  less,  which  were  allowed  for  in  the  resulting  cal-  i 
ated  velocity  per  minute  ;  a  second  checking  observation 
s  also  generally  made  by  an  immersion  of  one  minute. 
e  instrument  was  put  in  or  tlirown  out  of  gear  by  means 
n  wire  leading  from  it  up  to  the  boat,  thus  allowing  or 
venting  the  revolutions  of  the  screw  from  recording 
fmselves  on  the  dial  faces  at  any  moment.  , 

[n  the  gaugings  carried  out,  observations  of  mean  ver- 
H,  velocity,  giving  the  mean  velocity  in  any  plane  from   i 
r  surface  of  the  water  to  the  bottom,  seem  to  have  been 
rferred  wherever  practicable.    For  these  cases,  in  which  it   ' 
s  necessary  that  the  current-meter  should  be  steadily  and 
!nly  lowered  to  near  the  bottom  and  raised  again  to  the    i 
■face,  it  was  found  necessary  always  to  work  it  from  a 
itfbrm  between  two  boats,  placed  1  'Z  foet  apart,  moored  by  ' 
ir  anchors,  and  to  have  the  two  suspending  cords  marked 
every  3  feet  with  alternately  red  and  white  marks,  as   | 
ides  to  those  lowering  and  raising  them ;  the  cord  attached  j 
the  down-stream  boat  was  not  however  considered  ne-  I 
sury  in  this  operation,  the  up-stream  cord  prevented  the  | 
itrunient  from  going  far  out  of  the  vertical  direction.     In  j 
?se  operations  the  instrument  was  put  iu  gear  by  hand  by 
htening  a  nut  on  immersion,  and  put  out  of  gear  again    ' 
a  corresponding  manner  on  withdrawal  from  the  water.    I 
taking  gnrface  velocity  obBenrations,  the  current- m^iet  j 


128 

was  screwed  onto  a  wooden  staff,  3  inches  wide  and  half  an 
inch  thick ;  the  revolutions  of  the  screw  oontinmng  after 
withdrawal  from  the  water  being  at  once  stopped  by  hand 
so  as  not  to  vitiate  the  record  on  the  dial-face. 

The  determination  of  the  equation  of  correction  for  such 
current-meter  was  conducted  in  the  following  way.  It  was 
tested  at  a  low  velocity  by  drawing  it  through  a  distance 
of  189'  6'^  in  the  still  water  of  a  reservoir  in  a  time  of  S'SO* 
giving  a  velocity  of  75*0  feet  per  minute ;  the  average  of 
these  trials  gave  a  recorded  number  of  revolutions  of  172» 
or  68*8  per  minute :  in  the  same  way  also  it  was  tested  at 
a  high  velocity,  and  showed -176' 13  revolutions  per  minute 
for  a  speed  of  183*64  feet  per  minute.  The  equation  of 
correction  being  that  of  a  straight  line,  two  points  alone 
are  necessary  to  determine  it :  on  referring  these  to  rect- 
angular co-ordinates  on  a  diagram,  and  joining  them,  the 
true  velocity  corresponding  to  any  number  of  revolutions 
of  the  instrument  could  be  scaled  off  from  the  rectangular 
co-ordinates  to  the  resulting  straight  line.  Or  taking  it 
algebraically,  if  <r  and  y,  Wy^  and  y^  be  the  corresponding 
pairs  of  co-ordinates  for  low  and  for  high  velocity, 

then  y  z=,  ax  -^r  b^  and  y^  ==  aXy^  +  6 ; 
where  a  =  ^^^  ^  =  09962, 

Xy  —  X 

and  b  =1. +•''-- «3J»L£.=  _  6-811 ; 

hence  ^  =  09962  j?  -  6-811, 

or  in  the  form  more  useful  for  obtaining  the  true  velocity, 
X,  from  the  number  of  revolutions,  y, 

X  =  I0038ly  -h  6-837. 
On  annlvino-  to  this  eouatiou  a  value  of  y  =  O.  we  obtain 


129 

B  a  result  that  this  particular  instrament  would  ceal^ 
B«iord  revolutions  for  a  velocity  of  less  than  6'837  feet.  ] 
er  minute. 

'  iiirenl  Observations. — In  consequence  of  the  rivers 
bserved  being  tidal,  and  having  a  variable  current,  it 
^•«  necessary  to  moor  a  permanent  observatory  at  a 
i^xtvenient  point  in  the  deep  part  of  the  river  on  the  line 
r  aection,  and  make  hourly  observations  of  the  current 
^ra  it  throughout  the  day  and  night.  The  tidal  rise 
t»d  fall  was  also  registered  at  every  quarter  of  an  hour  j 
arometric,  thermometric,  and  wind  observations  were  also 
^corded. 

The  current  observations,  both  surface,  mean,  and  aub- 
ajjace,  were  taken  with  Eevy's  current-meter  from  a 
Oiall  boat  moored  temporarily  fore  and  aft  on  the  line  of 
Bction  already  sounded,  its  position  in  each  case  being 
etermined  by  angular  measurement  with  a  pocket  sextant 
Xi  the  extremities  of  the  base  line,  which  fixed  it  within  a 
few  inches.  For  this  work  two  sailors,  two  anchors,  and 
creral  hundred  yards  of  line  were  necessary.  The 
■«irrent  observations  were  taken  at  the  surface,  and  at 
Lepths  of  4,  7,  10,  IG,  and  23  feet,  the  latter  being  one 
fcot  above  the  bottom.  The  mean  current  observations 
■  '  made  three  times  in  each  case,  and  were  found  to 
L  each  other  within  I'G  foot  per  minute  in  observa- 
..-^iio  ginng  BO  feet  per  minute.  The  time  of  day  of  the 
BarreDt  observations  was  always  noted,  and  check  observa- 
&)QS  were  also  taken  from  a  fixed  level,  so  that  the  ob- 
|erred  tidal  variation  might  be  applied,  and  the  effect  of 
bie  tidal  wave — a  disturbing  cause  far  greater  than  that 
3ue  to  the  inclination  of  the  water  surface  in  the  cases  of 
these  rivers — thoroughly  investigated, 
^iconvenient  mode  was  adopted  for  testing  the  strai^t- 


I 


ISO 

ness  of  the  reach  of  the  river  at  the  aection  in  whick 
the  velocities  were  ohserved.  The  centre  of  gravity  iA  ths 
river  section  was  found  and  marked  on  the  drawing,  and 
also  the  centre  of  gravity  of  a  section  whose  depths  repre-j 
sented  the  surface  currents  in  any  convenient  mode, 
feet  per  minute  or  per  second;  the  horizontal 
apart  of  these  two  centres  of  gravity  indicated  the 
of  effect  of  a  bend  in  the  reach  at  that  section.  In 
Bosario  section  of  the  Parana  this  was  -g^T  of  the 
of  the  river,  and  the  section  was  considered  fGtvoi 
in  the  Palmas  section  it  was  as  much  as  ^  the  width 
the  river,  and  this  was  not  considered  favourable, 
cases  where  a  very  straight  reach  is  not  to  be  o1 
the  position  of  a  section  of  observation  is  recommended' 
be  taken  at  the  point  of  contrary  flexure  of  two 
curving  in  opposite  directions. 

The  conclusions  arrived  at  by  M.  Revy  from  his  studf 
of  tlic  current  observations  on  the  La  Plata,  Panift 
Parana  do  las  Pidmas,  and  Uruguay,  were — 

1st.  That  at  a  given  inclination  surface  currents  ait 
governed  by  depths  alone,  and  are  proportional  to  th* 
latter.  2nd.  That  the  current  at  the  bottom  of  a  riyar 
increases  more  rapidly  than  at  the  surface.  3rd.  Thit 
for  the  same  surface  current  the  bottom  current  will  bs 
greater  with  the  greater  depth.  4th.  That  the  meia 
current  is  the  actual  arithmetic  mean  between  that  at  ih0 
surface  and  that  at  the  bottom.  5th.  That  the  greateitl 
current  is  always  at  the  surface,  and  the  smallest  at  tbt 
bottom ;  and  that  as  the  depth  increases,  or  the  suifaco 
current  becomes  greater,  they  become  more  equal,  until  ift 
great  deptlis  and  strong  currents  they  practically  becoBtf 
substantially  alike. 


5.— GENERAL  REMARKS  ON  SYSTEMS  OP  GAUGING. 

The  foregoing  brief  accoxmts  of  the  modes   adopted  1 

!  various    hjdraulicians   in    carrying    out    field    opera- 

DDs  form  a  far  better  guide  to  the  engineer  about  to 

idertake  the  execution  of  gauging  operations  than  any 

Sitrary  advice,  or  set  of  rules,  could  possibly  be ;  the 

thor  may,  however,  be  permitted  to  make  a  few  remarks 

conclusion.      It  is,  of  course,  assumed  that  the  most 

risable  mode  of  proceeding  in  one  case  might  not  be 

pjicable  to  another,  and  that  the   method  of  gauging 

Id  be  suited  to  tlie  general  object,  the  place,  and  the 

instances.     When  the  object  is  of  an  experimental 

,    Laving    scientiiic    results    in   view,    the    experi- 

list  himself  is   the  best  jndge  of  the   mode  most 

to  his  object.     Most  gauging  operations,  however, 

for  their  purpose  the  determination  of  the  discharges 

jiver,  or  of  canals,  with  as  little  labour  and  expense, 

in   as   short    a   time    as   anything   approaching   to 

Bcy  of  result  will  admit ;  in  these  cases  the  amount 

uracy  required  is  that  which  fixes  the  mode  to  be 

id. 

The  most  rapid  and  least  accurate  mode  of  deter- 
the  discharge  of  a  river  or  canal  at  a  certain  place 
bne  is  that  which  dispenses  with  velocity  observations, 
:es  use  of  a  calculated  velocity  formula  as  a  substi- 
The  dimensions  of  two  parallel  sections  of  a  straight 
of  the  channel  are  measured,  the  inclination  of  the 
surface  between  the  two  is  levelled,  and  the  nature 
piality  of  the  bed  and  banks  are  noted ;  these  data 
the  discharge  to  be  calculated  by  the  aid  of  the  most 
a  and  most  correct  formula  with  a  certain  amount 
proximate  truth.    The  point  now  to  be  considered 


182 


.H(  ;  **■ 


18  what  amount  of  exactness  may  be  reaeonsMy 
from  the  practical  application  of  ibis  method. 

'  The  Kutter  formula  for  mean  velodty  of  disohatge 
metres)i 

V  =  c^y/  BS^  ;  where  c,=: 

1+' 


1^*1 


seems  theoretically  to  leave  nothing  more  to  be 
except  perhaps  a  simplification  of  form  not  sttainaUiB 
the  present  state  of  hydraulic  science.  It  is  appIicaUe 
channels  of  all  dimensions,  from  the  smallest  distill 
or  rigole  to  that  of  the  Mississippi ;  and  can  be 
to  channels  of  any  material,  from  weed-covered 
beds  to  cut  stone  and  carefully  planed  plank,  the  data 
which  it  is  most  carefully  based  being  those  of  numerois| 
experimentalists.  The  functions  or  terms  involved 
only  three,  B,  S,  and  /,  of  which  the  two  former  can  i 
most  cases  be  readily  and  sufficiently  exactly  observed  itj 
practice ;  the  great  difficulty,  however,  lies  in  the  deter^ 
mination  of  the  third  function.  An  examination  of  ib 
general  and  the  local  values  of  /,  given  at  page  Ixix.  of  ths 
Working  Tables,  will  explain  this.  Among  the  geneni 
values  suitable  to  beds  of  special  construction,  from  wdl 
planed  plank  to  rubble,  the  value  of  /  ranges  from  0*009 
to  001 7 ;  and  the  gradations  of  roughness  or  quality  d\ 
surface  are  clearly  marked  by  the  corresponding  values  of 
/,  the  greatest  gap  being  the  difference  between  O'OIS  fa 
ashlar  and  0'017  for  rubble,  a  difference  that  can  U 
easily  worked  up  to  in  practice  without  any  likelihood  of 
important  error.  It  would  hence  appear  that  there  woali 
be  no  difficulty  in  practice  of  determining  dischaiges  w& 
fair  accuracy  by  means  of  the  above  calculated  velocity 


133 

lla  for  channels  constructed  in  such  arti6cial1 
.  It  is,  however,  in  the  cases  more  usual  iai 
namely,  in  those  of  canals  having  earthen  beds  I 
bonks,  and  in  natural  river  cliannels,  that  the  values  1 
offer  so  wide  a  range  of  choice,  that  the  calculated  1 

irge  might  involve  serious  error  as  the  result  of  the 

ion  of  an  unsuitable  coefficient.  For  earthen  canals 
alues  of/iunge  from  0*020  to  0035,  the  gradations 
bJch  are   far  from   being  yet  sufficiently  definitely  i 

id;    and   for  local  values   the    range    is   about   tba.l 

It  would  seem,  therefore,  that  in  these  cases  it  I 

be  necessary  to  determine  by  velocity  measurement  1 

ischarge  of  the  river  or  canal  under  consideration,  and  j 

i  deduce  a  value  of  /  suitable  to  it  before  the  above;  1 

id  could  be  applied  for  obtaining  its  discharge  at  any.  j 
or  place  with  sufficient  accuracy ;  or,  iu  other  worda^ 
ictual  gauging  must    be    done  before  this  mode  of| 
idure    can    be    adopted.       In    the    future   we   shall  ' 
ibly  have  the  values  of  this  function  more  definitely 

lown,  and  we  shall  then  be  able  to  make  use  of  this 
od  more  readily,  and  with  greater  confidence  in  the  ■ 
;  now  we  have  only  the  present  amount  of  inforraa-  I 
to  guide  us,  and  are  hence  unavoidably  forced  into  a  I 
amount  of  velocity  measurement  as  a  means  of  I 
ctly  ganging  canals  and  river  channels  in  earth.  I 

Assuming,  therefore,  that  velocity  measurement  is  ab-  I 

ily  unavoidable,  the  question  next  arises,  what  is  th&.l 
amount  of  it  necessary  in  determining  a  discharge?  a 

(suits  of  Bazin,  determining  the  relation  between  the- 1 

»um  velocity  in  a  section  and  its  mean  velocity  o£M 
BTge,  give  the  readiest  solution  of  this  problem.  Hiavfl 
olffi  are  for  metres,  I 

^'  =  1  +  14  y"A  ;  or  v.-  U  =  14  ■/ RS"     J 


184 

where  V.  ■■  fhe  maTimnin  Telooitf,  and  U  «■  ibe 
velocity  of  discharge ;  and  it  is  evident  tibat  by  eoml 
with  this  formula  the  more  modem  ooeflGuaenta  of 
we  can  with  the  aid  of  onlyafewobservationfl  of] 
velociiy,  arrive  at  a  mean  disohaxge  with  lapidily,  and  l^ 
£Edr  amount  of  aocnracy,  and  be  afterwards  able  to  dstap^ 
mine  a  discharge  at  any  time  under  the  same  local  eonfi^ 
tions  by  means  of  the  ordinary  calculated  velocity  finmdi^ 
and  the  Kutter  coefficient  already  mentioi^  without  fh^ 
use  of  more  velocity  observations.  The  reduction  of  theit 
equations  to  English  measures  is  given  at  page  38,Chapter  L 

It  is  extremely  probable  that  this  mode  of  ganging  wiE 
be  more  universally  adopted  in  future,  and  that  a  huge 
series  of  observations  will  throw  more  light  on  the  rdaftka 
of  the  maximum  velocity  to  the  mean  velodly  of  dkchaigck 
and  enable  it  to  be  determined  with  greater  accuracy  thaa 
is  at  present  possible.  Observers  are  therefore  reoc»ii* 
mended  to  keep  in  view  in  all  gaugings  conducted  on  this 
principle,  not  only  the  sectional  position  of  the  maximum 
velocity  in  a  section,  which  may  be  confined  to  a  single 
point  either  in  the  middle  of  the  channel  at  the  surfiM^e,  or 
at  a  few  feet  below  it,  around  which  the  velocities  may 
diminish  in  section  rather  suddenly,  or  may  extend  iriOk 
but  little  diminution  over  an  important  portion  of  the 
section,  but  also  the  locus  of  maximum  velocity,  or  its 
depth  below  the  water  surface,  which  may  vary  sensibly  ia 
a  long  reach  of  river ;  this  inclination  of  the  locus,  as  weE 
as  the  amount  of  section  of  very  high  velocity,  being  dsia 
that  will  probably  aid  eventually  in  determining  the  ratio 
of  maximum  to  mean  velocity  of  discharge  with  greater 
precision. 

8.  The  next  mode  of  gauging  that  seems  most  iqpplicaUe 

'ordinary  rivers  is  one  of  the  modes  recommended  by 

ins  Humphreys  and  Abbot.   This,  ho¥rever,  involves  a 


where  3 : 


135 

greater  amount  of  velocity  observation,  and  at  the  eame  1 
time  requires  the  velocities  to  be  obserred  at  a  greater  | 
<lepth,  for  which  all  descriptions  of  current-tneters  are  J 
not  applicable. 

The  velocities  are  all  observed  at  a  uniform  depth  eqaal  1 
to  half  the  hydraulic  radius  of  the  section,  and  at  equal  1 
distances  judiciously  chosen  across  tlie  line  of  section  ;  and 
the  mean  of  these  velocities  Uj  jg  taken ; — the  mean  velo-J 
city  of  dischai^,  v,  is  then  obtained  in  the  formula, 

p=  [(  108 TJ,  +  -002 i  )*-  -045^/7]' 
1-G9 
{r  +  1-5)*. 

This  mode  should,  however,  be  limited  to  ordinary  and  I 
fai^e  rivers;  in  fact,  the  application  of  any  of  the  Missis- 'j 
ijppi  data  or  formula;  to  artificial  channels  or  small  streama"! 
cannot  be  recommended, 
4.  The  next  farther  attempt  at  accuracy  in  river  gauging 
I   involves  a  complete  investigation  of  the  whole  of  the  velo- 
cities in  the  channel  section ;  the  velocity  at  every  point 
in  the  cross  section  should  be  known  and  plotted  on  a  dia- 
gram, they  can  then  be  grouped  into  divisions  of  the  section 
by  vertical  and  horizontal  lines  within  which  the  variation 
of  velocity  is  not  important :  a  mean  velocity  for  each  divi- 
■ion  is  calculated  and  multiplied  by  the  area  of  that  division 
to  obtain  its  discharge  ;  the  sum  of  these  discharges  is  the 
discharge  of  the  whole  section.     Such  detailed  observations 
when  carried  out  on   an  extended  scale   involve  a  larg^ij 
•mount  of  labour,  care,  and  skilled  personal  superintendence^'" 
rat  at  the  same  time  afford  results  not  only  valuable  as 
regards  the  determination  of  the   discharges  of  the  river 
■pecially  under    consideration,    but    also    as    records    of 
hydraulic  experiment  aiding  in  the  pn^Tess  of  science. 


CHAPTER  m. 


Pakaoraphs  on  Various  Hydraulic  SuBncrs. 


1.  On  Modules.  3.  Modern  Irrigation  in  Italy.  8.  The  Control  of  An^! 
4.  Towage.  5.  On  Yarioos  Hydrodynamie  Formnlas.  6.  Inigriia^ 
from  Wells  in  India.  7.  The  Watering  of  Land,  a  Canal  Fdli.  9.Tkii 
Thickness  of  Pipes.    10.  Indian  Hydranlic  Contriranoes. 


L— ON  MODULBS. 


Htdrauuc  engineers  not  haying  yet  arriTed  at  a  perfect  moiik 
for  measuring  the  amount  of  water  drawn  off  in  an  open  chaimd 
for  irrigation  or  other  purposes  from  an  open  canal  or  reservtni) 
under  a  varying  head  of  pressure,  it  is  a  matter  of  some  interest  ti 
examine  the  older  types  of  design  of  modules  that  have  been  use 
at  various  times,  and  in  various  countries,  before  going  on  to  tiios 
of  more  modem  form.  The  designs  being  necessarily  simple,  the 
will  be  found  perfectly  comprehensible  by  means  of  descriptic 
without  the  aid  of  drawings  or  diagrams. 

Piedmont  appears  to  have  been  the  birthplace  of  modules,  { 
although  irrigation  is  essentially  Oriental  in  origin,  owing  to  i 
extreme  reproductive  power  in  hot  climates,  and  though  itw 
introduced  into  Europe  by  the  Moors,  we  do  not  find,  either 
India  or  in  Spain,  where  portions  of  these  works  still  exist,  anythii 
approaching  to  a  module.  The  systems  employed  in  carrying  o 
irrigation  almost  prove  that  they  had  not  such  a  thing  at  all.  ] 
India  the  practice  seems  to  have  been  to  turn  water  on  to  a  fie 
until  either  the  landowner  or  the  tumer-on  of  water  was  satisfie 
or  perhaps  rather  until  the  landowner  was  satisfied  that  he  coa 
get  no  more.  No  doubt  this  was  the  best  plan  to  start  with,  i 
the  object  of  irrigation  was  to  water  the  fields  sufficiently,  and  tl 
landowner  being  the  best  judge  as  regards  how  much  water  wj 


137 


for  his  crop,  this  mode  insured  the  observation  of 
•  'iper  persons.  This  plan  was,  however,  open  to  one  very  serions 
■  Igection;  when  the  landowners  discovered  that  an  extra  amount 
"f  water  beyond  that  strictly  necessary  for  the  crop  was  in  some 
Cases  capable  of  increasing  the  amount  of  produce  to  a  small  degree, 
they  wonld  take  more  water,  either  by  stealth  or  otherwise  ;  the 
■mount  of  perpetual  squabbling  on  this  subject  would  then  have 
been  very  large,  had  it  not  been  for  the  fact  that  in  Oriental  coun- 
IHas  irrigation  works  were  made  by  rajaba,  emperors,  or  chiefs, 
*hose  despotic  role  and  despotic  institutions  supplied  a  very  prac- 
tical limit  in  such  matters — mora!  or  physical  force , 

la  Spain,  under  Moorish  rule,  it  is  probable  that  this  useful  aub- 
stitate  for  modules  was  also  in  vogue ;  but  in  tbo  huertas  or  irrigated 
Unds  of  Spain  in  more  modern  times  and  under  Christian  rale,  the 
Water  being  the  joint  property  of  several  villages  that  combined  to 
keep  the  works  in  order,  and  legislated  for  themselves  about  the 
distribution  of  the  water,  the  first  groat  step,  the  just  division  of 
tlie  water  on  a  large  scale  among  the  several  villages,  had  to  be 
regularly  carried  out.  The  canals  being  comparatively  small,  a 
proportional  division  was  effected  by  equalizing  the  size  of  a  certain 
small  number  of  outlets  from  the  main  canal  into  the  sabsidiary 
channels,  one  village  thus  taking  a  fourth  or  a  sixth  of  the  total 
volume  of  water  passing  down  the  canal. 

In  Piedmont  the  conditions  were  different ;  the  country  being 
hilly,  and  tbe  water  taken  from  streams  and  torrents  having  a  con- 
siderable fall,  water  power  was  extensively  used  for  driving  com 
mills.  It  is  probable  that  there  were  a  few  water-driven  corn  mills 
both  in  India  and  in  Spain,  but  there  such  mills  would  be  public 
institutions,  the  miller  being  a  servant  of  tbe  community,  generally 
bring  on  a  fixed  income,  or  yearly  pay,  given  either  in  kind  or  in 
money  by  all  the  neighbouring  villages  using  the  mill.  In  Pied- 
mont the  mQls  were  tbe  private  property  of  individuals,  as  they 
we  at  the  present  day  in  Europe  ;  bence  it  was  there  that  tbo  first 
unit  of  water  moasmement  was  arrived  at — the  amount  of  water 
enough  to  drive  a  corn  mill,  which  were  probably  then  and  there  of 
■bout  the  same  size  and  requirements.  This  amount  of  water  then 
assumed  a  technical  name,  the  raote  d'  acqua ;  tbe  same  thing  in 
Lombardy  being  called  a  rodigine,  in  ModeOB  a  moeina,  and  in  thA 


thS 


188 

Pyrenees  a  nundan — ^ihe  same  circninBtanoeB  in  tarioos  phsn 
leading  to  the  adoption  of  a  similar  onit  of  measurement,  wUeh 
was  naturally  rather  variable.  In  Piedmont  the  amoont  was  goid- 
rally  about  12  cubic  feet  per  second,  and  was  supplied  by  an  oofM 
19  in.  to  20  in.  square,  the  water  issuing  free  from  pressure  at  tb 
surface  leyel.  The  next  step  was  the  introduction  of  a  smaller 
unit  of  measurement  for  purposes  of  irrigation  for  discharges  under 
pressure,  the  Piedmontese  oncia ;  which  was  a  rectangular  ooilet 
6*04  in.  broad,  6*72  in.  high,  having  a  head  of  water  8'S6  in.  tbon 
the  upper  edge  of  the  outlet ;  its  discharge  was  0*86  cubic  feet  per 
second,  and  this  was  the  immediate  parent  of  the  Piedmonteie 
module,  and,  as  far  as  we  know,  the  ancestor  of  all  modules. 

riedmont€$e  Modules. — These,  the  most  perfect  type  of  whiebii 
that  of  the  Sardinian  code,  were  designed  or  intended  to  fulfil  iha 
following  conditions:  that  the  water  should  issue  from  the  outlet  bj 
simple  pressure,  that  this  pressure  should  be  maintained  praeii* 
cally  constant,  that  the  outlet  should  be  made  square  in  a  thin  plit6 
having  vertical  sides,  that  the  issuing  water  should  have  a  free&ll) 
unimpeded  by  any  back-water,  and  that  the  water  of  the  canal  d 
supply  should  rest  with  its  surface  free  against  the  thin  wall  or 
stone  slab  in  which  the  outlet  was  formed.     The  following  is  a 
description  of  the  general  type.     The  water  is  admitted  throngb 
a  sluice  of  masonry,  having  a  wooden  shutter  working  vertically, 
into  a  chamber  in  which  the  water  is  supposed  to  lose  all  its  velocity 
and  is  kept  to  a  fixed  level  mark  by  raising  or  lowering  the  shutter; 
the  chamber  is  of  masonry  and  has  its  pavement  on  the  same 
level  as  the  sill  of  the  sluice,  the  regulating  outlet  from  this  cham- 
ber being  an  orifice  7*854  in.  square,  having  its  upper  edge  fixed 
at  7*854  in.  below  the  fixed   water-level  mark  of  the  chamber. 
Its    discharge  is  2*04  cubic   feet  per    second.     If  a  larger  dis- 
charge  at    one    spot   be  required,   the   breadth  of  the  outlet  is 
doubled  or  trebled,  the    other   dimensions  remaining  unaltered. 
Such  are  the  sole  unalterable  conditions  or  data  of  this  module ;  all 
its  others  seem  to  have  varied  very  greatly ;  its  sill  is  sometimes 
at  the  level  of  the  bed  of  the  canal  of  supply,  sometimes  above  it, 
and  sometimes  below  it,  in  which  case  a  slight  masonry  indioe 

as  made  from  the  bed  down  to  it ;  the  length  and  breadth  of  the 


ber  Tary  greatly,  the  former  from  15  ft.  to  35  ft.,  its  form 
k  circular,  oval,  or  pear-ahaped  ;  tlio  side  walls  splaying  out- 
fa  Bometimea  close  np  to  tlie  sliiioe,  sometimes  not  till  near  the 
kting  ontlet,  the  object  being  to  destroy  the  velocity  of  the 
fe  within  the  chamber.  The  lower  edge  of  the  regulating  outlet 
IDerally,  bat  not  always,  placed  at  9'S25  in.  above  the  floor  of 
lamber.     The  paved  floor  of  the  chamber  is  in  many  cases, 

1  all,  cootiuaed  at  the  same  level  beyond  the  ontlet. 
e  practical  advantages  of  this  type  of  modnle  consist,  therefore, 
■laving  a  chamber  in  which  the  water  can  be  kept  to  a  constant 

Id,  and  from  which  the  water  can  issue  under  a  constant  head   ' 
■jressore  through  a  regulating  orifice  of  fixed  dimensions.  9 

rdanese  Modules. — The  modulo  ^na-gistrale  of  Milan  is  the 

improved  type  of  Lombardian  modules,  the  moduh  of  Cremona 

the  qiuulretto  of  Brescia  being  very  inferior  to  it  in  design ;  its 

[pal  advantage  over  the  Piedmontese  modules  being  the  fixity 

lension  of  almost  all  its  parts ;  in  other  respects  it  resembles 

[lory  much,  the  principal  difTor'cnces  being  that  the  water  cham- 

alwaya  rectangular  and  covered  with  slabs,  and  is  hence  called 

iwvered  chamber,  that  its  flooring  has  a  reverse  slope  in  order 

ieaden  velocity,  and  that  the  masonry  channel  beyond  the  regn- 

ontlet  has  fixed  dimensions  also,  a  portion  of  it  being  called 

outer  chamber.     As  to  its  general  arrangements,  the  slnico  of 

•OHiIy  has  its  sill  invariably  on  a  level  vfith  the  bottom  of  the  main 

»DtI,  which  is  paved  vrith  slabs  near  it ;  the  breadth  of  the  sluice 

)■  the  same  as  that  of  tho  regnlating  or  measuring  outlet ;  the 

lloice  gate  is  worked  by  lock  and  level,  being  fixed  and  locked  at 

Wj  required  height  by  catch  lock  and  key.     As  to  dimensions,  the 

Wrered  chamber  ia  20  ft.  long,  its  flooring  having  a  rise  of  1-75  in. 

W  that  length,  and  its  breadth  is  1-64  ft.  more  than  that  of  the 

Wnice  of  supply,  that  is,  82  ft.  more  on  each  side  ;  the  lower  sur- 

■Mof  its  covering  of  slabs  or  planks  is  fixed  at  3'93  in.  above  the 

^iper  edge  of  the  regulating  ontlet,  which  ia  the  height  to  which 

•ie  rater  must  be  kept  to  secure  the  fixed  discharge.     In  order  to 

SiQge  the  water  in  the  chamber,  a  groove  is  made  in  the  masonry 

•0  M  to  allow  a  gauge  tod  to  be  introduced  within  at  the  sill  of  the 

■Iniee,  which  will  read  27-51  in.  of  wator  above  the  aiU,  ^ten 


the^l 


140 

proper  head  of  preBsnre  exists;  should  it  read  more  or  lea 
sliiice  gate  must  be  raised  or  lowered*  The  outer  chamber  i 
in.  wider  than  the  measuring  or  regulating  outlet,  its  total  1 
17'79  ft.;  its  side  walls,  which  like  those  of  the  covered  chaml 
verticaly  have  a  splay  outwards,  so  that  the  width  at  the  f 
end  is  11*72  in.  greater  than  at  the  outlet  end,  that  is  to  i 
is  there  equal  in  width  to  the  corered  chamber.  To  insure 
fall,  the  flooring  of  the  outer  chamber  is  1*96  in.  below  the 
edge  of  the  outlet,  and  has  besides  a  fall  of  1*96  in.  in  its  1 
of  17-72  ft. 

The  total  length  of  the  module  is  nearly  87*76  ft.,  but  its  bi 
is  variable,  according  to  the  amount  of  discharge  required, 
tended  to  discharge  a  Milanese  oncia  magiitrale,  the  Milanese 
which  varies  from  1*21  to  1*64  cubic  feet  per  second  accordi 
different  computations,  averaging,  1*6  cubic  feet  per  seconc 
measuring  outlet  is  7*86  in.  high  and  4*12  in.  broad,  under  \ 
stant  head  of  pressure  of  8*98  in. ;  the  breadth  of  the  c( 
chamber  being  26*54  in.,  and  the  breadths  of  the  open  cb 
18*75  in.  and  25-54  in. 

It  is  essential  to  the  effective  operation  of  the  regulating 

that  the  difference  of  level  between  the  water  in  the  canal  an( 

in  the  module  be  at  least  7*86  in. ;  and  as  the  height  of  wa 

the  latter  must  be  27*51  in.,  the  depth  of  water  in  the  canal 

never  be  less  than  85*87  in.  or  8  ft.,  in  order  to  allow  the  m 

to  work  properly.     The  following  are  the  relative  levels  of  the 

of  the  module,  referred  to  the  bottom  of  the  main  canal 

datum : 

Inclies. 

Water  surface  in  the  interior  of  the  module  27*51 

Upper  edge  of  the  measuring  outlet        ...  28*58 

Upper  end  of  flooring  of  open  chamber     . . .  18*75 

Lower  end  of  the  same      11*79 

Such  is  the  type  of  the  Milanese  modules,  the  dimensions 
suitable  for  a  discharge  of  1*5  cubic  feet  per  second ;  unfortun 
in  point  of  fact,  the  type  has  been  rarely  rigidly  adhered  to 
thus  its  advantages  as  a  universal,  or  even  as  a  local  water  ^tai 
have  been  comparatively  thrown  away  in  practice.  Its  use, 
ever,  established  a  discovery  that  was  at  that  time  very  impoi 


141 

,  that  larger  outlets  gave  a  greater  discbarge  than  that  das  i 
proportion  of  tbeir  section  for  small  ones ;  It  was  therefore 
niued  that  no  single  outlet  of  a  module  shoald  he  made  for  a 
irge  of  more  than  eight  oncia  or  12  cubic  feet  per  second ; 
when  a  greater  diacharge  was  required,  two  or  more  separate 
te  were  to  he  used  in  combioation.  A  gauge  post  was  also 
1  to  be  necessary  in  order  to  enable  the  water  guardians  tJ 
tt  the  sluice  aocuratelj.  H 

rhe  principal  defect  of  the  Milanese  modules  is  that,  owing  t^^ 
rnsh  of  water  from  the  canal,  it  is  nearly  impracticable  to  keep 
netant  bead  of  pressure  on  the  measuring  outlet ;  besides  this, 
I  and  fine  silt  vitiate  tlie  accuracy  of  amount  of  discharge, 
nch  are  the  comparatively  ancient  modules,  the  Milanese 
1  magUlraU  being  the  most  improved  one  of  them.  Their 
\  b&8  been  very  much  adhered  to  in  modern  times ;  that  of 
Bra.  Higgin  and  Higginson  on  the  Henares  Canal  may  he  con- 
d  as  the  greatest  improvement  that  can  be  made  on  them, 
UQt  departing  from  that  type.  In  this  module,  the  entrance 
I  slaice  into  a  chamber  for  destroying  velocity  has  been  pre- 
Bd,  but  the  exit  is  an  overfall,  and  hence  mors  susceptible  of 
st  measurement  of  discharge ;  the  means  applied  to  deaden  the 
wity  of  entrance  are  again  different. 

I  entrance  into  the  channel   through   a  wall  is  a   passage 

tin,  ('6  metre)  square,  regulated  by  a  well  fitting  cast-iron  door 

i  by  a  screw;  tho  chamber  is  rectangular,  10'37  ft.  long,  by 

111.  wide  below,  9'20  ft.  above,  the  side  walls  haring  a  batter 

1  in  6.     The  bottom  of  the  chamber  is  horizontal  and  at  a 

"Wl  72  feet  below  the  sill  of  the  entrance  sluice.     To  deaden  the 

wtion  of  tho  water,  a  partition  of  masonry  grating  is  built  across 

^  ehamber  at  a  distance  of  4  ft.  from  the  wall,  and  5  ft.  from  the 

I  wall  of  exit,  it  is  1*37  ft.  brood,  and  has  eight  slits  or  ver- 

I  passages  not  cross-barred,  each  slit  being  5'4  in,  wide.     The 

r  Laving  been  deprived  of  all  action  by  passing  through  this 

rement,  enters  the  second  portion  of  the  chamber,  and  then 

Ms  ^ver  a  weir  having  an  iron  edge  6'56  ft.  (2  metres)  long, 

d  nearly  on  a  level  with  the  top  of  tho  entrance  sluice,  or  2  ft. 

e  its  sill.     The  discharge  required  for  irrigation  being  never  b 

I  176  litres  or  6-22  cubic  feet  per  seconda^ 


142 

weir  Bill  will  therefore  never  exceed  *5  ft.,  tbe  doioe  opening 
1-97  ft  square. 

There  are  two  small  side  walls  hating  a  batter  fimn  sbo 
either  side  of  the  sluice  entrancoi  these  walls  pnqjeeting  in 
main  canal,  in  order  to  protect  the  entrance  and  prevent  silt 
accumulating  there,  which  otherwisOi  and  perhaps  even  i 
case,  would  have  to  be  dug  out  occasionally.  In  order  to  km 
chamber  in  proper  working  order,  a  keeper  most  be  employee 
a  gauge  post  erected  in  the  canal,  with  reference  to  which  he  1 
or  raises  the  sluice,  and  keeps  the  water  in  the  chamber  s 
at  a  fixed  level. 

It  is  evident  that  the  changes  may  be  rung  on  this  spec 
module  to  a  great  extent  without  effecting  great  improvemei 
increasing  the  number  and  altering  the  positions  of  the  sluice 
overfalls,  and  modifying  the  arrangement  for  deadening  the  i 
of  the  water.  This  has  been  done  in  many  cases  without  i 
result ;  it  is  hence  not  worth  while  to  bring  forward  other  exai 
of  this  type. 

Although  some  of  these  are  complicated  in  form,  as  wi 
much  varied  in  detail,  the  types  are  exceedingly  simple ;  thi 
require  the  occasional  attendance  of  a  keeper  for  adjusting 
according  to  the  variation  of  pressure ;  they  are  made  of  brici 
and  masonry,  and  consist  of  a  series  of  open  passages  and  co 
chambers  connecting  orifices  and  overfalls.  It  is  quite  evident 
except  under  special  circumstances,  such  modules  are  far  hi 
the  wants  of  an  age  that  economizes  labour,  attendance,  and  s 
vision  wherever  possible. 

Self-acting  Modules. — A  module  to  be  of  any  use  now  mD 
the  first  place  be  self-acting.  Nor,  indeed,  is  this  all.  A 
number  of  self-acting  apparatus  for  regulating  the  supply  or 
of  water  have  been  designed  and  used,  but  three-quarters  *of  i 
do  not  answer  all  tbe  purposes  required  of  them  at  present,  i 
are  large,  some  expensive,  others  involve  a  large  expenditu] 
protective  or  additional  large  chambers,  others  are  complicated 
liable  to  get  out  of  order,  and  others  involve  a  great  loss  of  1 
which,  in  the  case  of  their  application  to  irrigation  canals  of  fi 
fall,  is  an  insurmountable  objection.    The  worst  of  them  ms 


143 


npiTxr  nro/»finol         ^ 


Baid  to  be  those  th&t  fail  in  their  maiii  object  in  pro^ncing  practical 
Mcnrac;  of  discharge.  With  all  those  objectiooH  to  deal  with,  it  will 
not  be  neceBsory  to  do  more  thEtn  make  pnEsing  comments  on  the 
greater  namber  of  them,  and  the  principles  involved  in  their  design 
and  construction. 

We  will,  however,  first  mention  the  requirements  of  a  good 
Biodale.  The  primary  consideration  is  that  under  all  ordinary  oiif- 
cumatances  the  discharge  may  be  practically  constant  and  correet, 
liiat  is,  should  not  be  liable  to  vary  more  than  5  per  cent. ; 
Secondly,  that  it  should  be  very  simple  in  constrnction  and  appli- 
cation ;  thirdly,  that  it  should  not  be  liable  to  derangement ; 
(boithly,  that  it  be  portable,  easily  applied  and  removed  from  any 
portion  of  the  canal  without  involving  mach  waste  or  loss  ;  fifthly, 
tliat  it  should  not  involve  much  loss  of  head,  and  that  it  should  be 
»ble  to  drain  the  main  canal  or  basin  of  supply,  down  to  a  level  of 
one  foot  above  its  bed,  and  deliver  water  !f  need  be  as  high  as 
*itliin  one  foot  of  full  level  in  the  canal ;  sixthly,  that  it  be  inex- 
pensive, not  costing  in  England  more  than  about  lOi.,  and  moM-; 
tbim  ^5  additional  for  its  attachments,  slabs,  cisterns,  or  cham- 
[  bere,  and  setting  it  in  place  in  working  order. 
I  Tliere  ore  perhaps  only  three  modules  yet  designed  that  mayj 
r   be  said  to  fulfil  these  conditions ;  these  we  will  for  the 

term  portable  modules,  and  defer  dealing  with  them  until  aftw 
I'jmmenting  on  the  others,  or  ordinary  self-acting  modules,  sonie 
of  which  have  advantages  or  disadvantages  worthy  of  notice,  or 
bttTe  attracted  special  attention  in  any  way. 

lentil  recently,  the  power  of  flotation  was  the  sole  means  adopted 
ID  self-acting  modules  for  obtaining  an  equal  discharge  under  vaiy- 
^S  heads  in  the  canal  or  basin  of  supply.  The  simplest  manner 
of  applying  this  is  perhaps  in  attaching  or  fixing  the  pipe  or  pipes 
of  supply  to  thu  float  itself,  thus  insnring  a  fixed  head  of  pressure 
"B  tliflir  entrance,  however  much  the  surface  level  in  the  supplying 
iiaain  may  vary.  So  far  as  this,  the  modules  depending  on  this 
principle  appear  excellent,  but  unfortunately  all  of  those  Bettni 
•"fective  on  account  of  other  considerations.  For  instance,  in  "the 
'"upended  openiny,"  where  the  water  enters  through  two  horizontal 
pipes  into  the  body  of  the  float  itself  (which  is  kept  submerged 
mt  depth  1^  wmgbtH)  and  passes  out  of  it  through  a  ^qi 


I 


144 

pipe  fixed  on  to  the  lower  side  of  it,  the  yeriical  pipe  has  to  slide 
np  and  down  in  a  species  of  stofBng-box  in  a  masonry  platfoim 
below,  so  as  to  discharge  itself  clear  of  the  water  in  the  main  ctnil, 
and  prevent  the  latter  from  leaking  throogh  into  the  well  below  the 
platform,  from  which  the  modoled  water  alone  should  be  drawn  cXL 
This  is  plainly  a  contrivance  that  would  be  defidctive  for  purposes 
of  irrigation;  should  the  vertical  pipe  not  slide  easily  into  the 
stuffing-box,  the  power  of  flotation  may  be  entirely  neutralized; 
should  it  be  too  easy  there  will  be  leakage,  and  perhaps  to  a  serioos 
amount ;  the  loss  of  level  is  seriously  great,  the  delivery  level  never 
being  higher  than  1  ft.  above  the  bed  level  of  the  canal.  Modifi- 
cations of  this  contrivance,  having  in  view  the  abolition  of  the  loa 
of  head,  have  been  made  by  using  syphons  either  erect  or  inverted,  in- 
stead of  the  sliding  vertical  pipe.  They  certainly  attain  that  object, 
but  introduce  new  defects  sufficient  to  render  them  less  usefol  fat 
purposes  of  irrigation  than  the  original  suspended  opening;  they  are 
expensive,  and  difficult  to  manage,  the  action  of  the  syphons  is 
liable  to  be  stopped  by  accumulation  of  air,  and  their  discharge  is 
not  only  practically  low  in  comparison  with  their  theoretical  calcu- 
lated discharge,  but  also  is  variable,  as  they  are  very  liable  to  fool ; 
tlieir  adjuncts,  chambers  around  and  attached,  are  expensive.  The 
vertical  pipe  arrangement  of  the  suspended  opening  is  the  principle 
on  which  many  water-meters,  used  by  water  companies  for  dis- 
charging water  in  large  quantities,  have  been  constructed. 

The  same  principle  has  been  adapted  to  purposes  of  irrigation 
in  the  module  of  M.  Monricher,  on  the  Marseilles  Canal,  con- 
structed between  1839  and  1850 :  it  is  intended  to  supply  irrigation 
channels  having  discharges  of  from  1*06  to  4*24  cubic  ft.  (80  to 
VIO  litres)  per  second  as  a  constant  supply.  The  details  of  con- 
struction are  as  follows  :  A  masonry  reservoir  11*15  ft.  by  14*76  ft., 
having  its  bottom  at  a  level  approximately  8  ft.  below  the  bottom 
of  the  canal,  is  connected  with  it  by  a  rectangular  masonry  passage 
having  a  horizontal  masonry  covering  at  the  level  of  low  water  sur- 
face in  the  canal ;  a  transverse  masonry  wall  stops  the  action  of  the 
water,  which  enters  the  reservoir  afterwards  by  two  passages,  one 
on  either  side,  the  wall  and  passages  taking  up  a  portion  of  the 
reservoir  space.  Beyond  two  pairs  of  grooves  for  putting  in  stop- 
planks  for  shutting  off  the  water  entirely  during  repair,  there  is  no 


146 


Kt  sluice  or  check  to  the  free  flow  of  the  water.     In  the  centre 

the  rectangalar  reservoir  ia  a  cylinder  of  masoury,  having  an 

■-"'ii  diameter  of  2-30  ft.,  being  1-00  ft.  thick,  the  bottom  of  it 

ilt|irosimfttely2'00  ft.  below  the  bottom  of  the  reBervoir,  and 

'  ilge  aboul  2'00  ft.  below  low  water  canal  surface.     An  iron 

['  is  made  to  fit  the  internal  masonry  closely,  and  to  slide  up 

.'.  a  it,  and  to  hang  by  a  rod  and  adjusting  screw  to  a  wooden 

■  Imported  by  two  wooden  floats  placed  clear  of  the  masonry, 

^of  whichisl-64  ft.  deep,  1-31  ft.  brood,  and  5-24  ft.  long. 

Bte  are  also  two  vertical  bars  iu  the  reservoir  outside  the  floats, 

kad  dovm  which  the  bur  slides  on  rings.     The  adjusting  screw 

Ides  the  iron  cylinder,  which  is  about  5'8  ft.  long,  to  be  placed 

that  its  npper  edge  may  be  set  at  any  depth  below  the  water 

hee,  so  as  to  prodnce  any  required  discharge.     This,  when  once 

3  and  checked,  is  never  altered.     The  whole  is  enclosed  in  a 

sd  building. 

"he  water  of  the  reservoir  therefore  enters  the  iron  cylinder 
re,  and  flows  out  below ;  the  lower  water  being  divided  from  the 
of  the  reservoir  above  by  masonry  partitions,  it  rises  through 
masonry  passage  thus  made  into  the  masom-y  water-course  or 
•piion  channel,  the  bottom  of  which  is  not  more  than  '75  ft. 
W  that  of  the  bod  of  the  main  canal ;  the  channel  section  is 
t  ft.  by  1'31  ft.,  having  a  small  enlargement  8*28  ft.  square  at 
Bontmdncement  of  the  channel.  Plans  and  details  of  the  modttle 
I  tleseribed  are  given  in  MoncriefTs  "Irrigation  in  Southern 
ope." 

3  this  modnle,  therefore,  the  section  of  outlet,  viz.,  that  of  the 
cylinder,  is  constant ;  the  edge  of  the  cylinder  rises  and  falls 
lotation ;  the  loss  of  level  is  as  small  as  can  be  conveniently 
kined  in  modules  of  this  principle  of  design,  and  if  the  cylinder 
A,  without  much  care  or  superintendence,  be  made  to  work  well 
he  maHonry  without  leakage  or  friction  to  any  detrimental  estent, 
t&ted  by  the  engineers  of  the  Marseilles  canal,  the  amount  of 
soaracy  of  discharge  cannot  be  great.  It  would  doubtless  be  aa 
troremcnt  were  some  arrangement  applied  to  this  module  for 
renting  silt  from  entering  the  reservoir,  which  most  be  liable  to 
bCbm  with  the  working  of  the  cylinder,  and  produce  a  greater 
ect  in  this  module  than  in  many  others.  t\v& 
10 


masonry  portion  of  the  modole  would  require  good  workiiiiiuilii|l 
and  the  putting  together  of  the  whole  in  good  workiiig  oider  cm 
sidcrable  care.  It  is,  therefore,  rather  erpeoime,  and  imiliiiiljlJ 
not  the  element  of  portability.  M 

Tlie  Suspended  plug  is  like  the  suspended  opening,  a  prinaj 
that  has  been  adopted  for  modules  and  applied  in  a  very  large  ^^^iM 
of  ways,  some  of  which  involve  complexity  of  parts  and  detdl 
Its  main  principle  is  probably  slightly  more  modem  than  that  of  fli 
latter :  both  are  decidedly  old,  but  as  these  old  contriTaneei  m 
perpetually  being  re-invented,  a  brief  description  of  their  prinen 
may  be  of  use  to  some,  while  comments  on  them  may  deter  oUmI 
from  wasting  their  energies  on  an  idea  that  appears  to  haT6  bed 
fully  worked  out.  I 

The  simplest  case  of  the  suspended  plug  is  this.  A  ciiedfl 
orifico  is  fixed  in  a  floor  at  the  level  of  the  bed  or  bottom  of  fl 
canal  or  reser^'oir,  and  a  plug  of  varying  section  is  suspended! 
it,  being  attached  to  a  float  that  rises  and  falls  with  the  snrfiice  J 
the  water;  the  annular  water  passage  thus  left  open  is  madell 
discbarge  equal  quantities  under  varying  heads  by  proportioin 
the  section  of  the  plug  throughout  its  length ;  the  area  of  fll 
annular  opening  l)eing  in  inverse  proportion  to  the  velocity  of  M 
charge.  To  insure  a  free  fall  there  is  a  well  below  the  floor  ioM 
which  the  water  falls  to  a  depth  equal  to  that  of  the  depth  of  the  flod 
from  high-water  level  of  the  canal.     The  depth  of  the  float  and  J^ 

1 

attachment  to  the  plug  prevent  its  acting  at  a  depth  of  water  of  ]0 
than  one  foot  in  the  canal.  These  two  points,  which  are  seriori 
objections  to  the  adoption  of  this  module  on  irrigation  canals,  hitl 
been  much  modified  in  the  more  complicated  modules  constractel 
on  this  principle,  which  will  hereafter  be  mentioned.  As  to  tin 
plug  itself,  it  is  cither  a  conoid  hung  in  a  circular  orifice,  or  a  M 
sided  conoid  of  equal  thickness  in  one  direction  hung  in  an  orififli 
which  is  rectangular  laterally  and  of  circular  curvature  transversely 
in  the  latter  case  a  fixed  area  is  left  open  on  the  flat  sides  of  tb 
plug  which  has  to  be  allowed  for  in  the  calculations  for  the  sectioi 
of  the  plug.  The  diameter  of  the  plug  in  the  case  of  the  conoi 
is  obtained  by  calculating  the  areas  required  to  pass  the  reqairfi* 
discharge  for  various  heads  of  water,  as,  from  1  to  10  ft.  for  eTcr; 


147 

rneheB,  and  dedncting  these  from  the  fixed  area  of  the  orifio8, 
malnders  are  then  the  areas  of  the  circular  sections  of  the 
w  those  depths  from  which  the  diameters  are  obtained.  The 
>tioid  can  he  made  of  the  same  lateral  section  for  all  dia- 
ls, the  thickness  of  the  flat  aides  being  increased  in  direct 


( following  ifl  an  example  of  a  module  designed  on  the  sub- 
I  ping  principle,  and  is  perhaps  the  simplest  application  of  it 
lal  practice.  It  was  designed  by  Don  Juan  de  Ribera,  pro- 
of the  Lozofa  canal,  or  canal  of  Isabella  Segunda,  and  is 
n  that  catial  mth  good  effect. 

3  BO  arranged  that  the  size  of  the  outlet  diminishes  when  the 
of  water  increases.  The  module  itself  is  a  long  tapering 
I  plug.  '524  ft,  in  diameter  at  its  lower  end,  and  is  attached 
drcnlar  brass  float  above,  which  floats  freely  in  the  water 
nasonry  well  3"38  ft.  by  3*94  ft.  square  and  4'16  ft.  deep; 

bottom  of  this  well,  which  is  on  a  level  with  the  bottom  of 
sin  canal  and  the  reetangnlar  masonry  passage  connecting 

is  a  circular  orifice  1'56  ft.  in  diameter,  within  which  the 
end  of  the  module  is  made  to  work  vertically,  the  plug  and 
being  of  bronze  to  prevent  rust.  Below  this  well  again 
lecond  one,  into  which  the  water  falls  after  having  passed 
;h  the  ring  between  the  orifice  and  the  plug.     The  entrance 

rectangular  passage  lending  from  the  canal,  which  is  ooly 
^w.  long,  is  protected  from  silt  by  an  iron  grating, 
^Bvered  in  at  the  top  by  slabs  to  the  full  level  iu  the 
^BB  well  is  also  Covered  in  by  a  locked  iron  trap-door, 
8  module  friction  is  reduced  to  a,  minimum;  the  module 
freely  from  the  centre  of  the  float,  and  can  bo  slightly  raised 
ered  in  order  to  diminish  or  increase  the  discharge  passing 
h  the  ring  or  space  between  the  edge  of  the  orifice  and  the 
but  when  a  constant  discharge  is  required  it  is  finally 
Ij  adjusted,  and  then  entirely  left  alone.  The  float  is  about 
L  diameter,  having  a  thickness  in  the  middle  of  about  -9  ft., 

the  etlgcB  of  '6  ft. 

J  module  discharges  one  cubic  metre  (35-3166  cubic  feet)  per 
utd  is  hence  styled  an  horametre,  the  discharge  being  -2777 

C8  enhie  feet  per  second.     The  curve  of  the  Tnolu\6  w 


148  J 

bronze  plug  is  snch,  that  the  roots  of  tlie  verlioil  abHinB  wjafl 
Tersely  as  the  differences  between  the  flqnaies  of  the  radinB  d  fljB 
orifice  and  of  the  horizontal  co-ordinate.  Henee,  if  the  nqMH 
discharge  is  given  with  a  head  of  water  of  one  metn,  whn  IjH 
diameters  of  the  orifice  and  ping  are  reapeetifdj  *90  and  *Ufl 
metres,  then,  if  the  head  of  water  be  rednoed  to  *81  mehs^^B 
diameter  of  the  plog  at  the  level  of  the  orifioe  must  be  *l4H 
metres,  as  M 

>/T  :  •^l  :  :  (^Of  -  (IGIO/  :  (•»)•  -  (-1653)*.  ■ 

The  lengths  corresponding  to  the  different  diametora  of  the  i^ifl 
of  the  plug  will,  for  a  constant  diameter  of  orifioe  of  **90,  be  fl 

follows : —  W 

Depths  from  water  snr&ce     *10      *13      *16        *41  *77  ■ 

Diameters  of  ping  -00      -0685  -0912    -1811  -UM 

Depths  from  water  snrfiEu^e  1-26    1*90    2*71    '  8*71  I 

Diameters  of  plug                  -1480  -1664  -1610     -1653.  I 

The  principle  being  that  the  velocity  of  discharge  through  anonUl 
varies  with  the  square  root  of  the  head  of  water ;  thus,  taking  Bfl 
to  represent  the  radii  of  the  orifice  and  plug  respectively,  &e  fin 
charge  per  second  I 

H  being  the  head  of  water,  the  value  of  the  experimental  coefficieiru 
c,  being  for  this  case  deduced,  from  a  series  of  experiments  of  Dou 
Juan  de  Ribera,  to  be  '68,  in    accordance    with  similar   resoBu 
obtained  in  ordinary  practice  in  parallel  cases.     This  is  probaUythi 
modulo  in  most  perfect  accordance  with  theory  yet  designed ;  it  ii^ 
however,  of  small  dimensions,  and  hence  likely  to  be  much  affectel 
by  even  the  very  small  proportion  of  silt  that  would  pass  throogh 
the  grating.     Its  principal  defect  is,  that  the  loss  of  level  neees- 
sarily  involved  in  it  in  order  to  obtain  a  free  fall  would  render 
it  inapplicable  in  a  very  great  number  of  cases,  where  even  a  Cbv 
inches  of  fall  are  of  extreme  importance. 

The  modifications  of  this  type  of  module  consist  in  putting  tbB 
float  in  a  separate  chamber,  which  thus  becomes  a  silt  trap,  and 
relieves  the  orifice  from  beiug  affected  by  silt,  the  connecikm 
betweeUf  the  float  and  the  cone  bevn^  oilhftT  a  chain  passing  ow 


149 

nmners  or  a  lever :  in  these  cases  the  plug  iB  reversed,  having 
iroader  end  upwards ;  the  friction  involved  affects  the  working 
Im  module  and  its  accuracy  of  discharge,  and,  in  the  case  of 
re,  the  lengths  of  the  arms  modify  the  quantities  employed 
te  calculations  of  aections  of  discharge.  In  some  cases  the  form 
be  lower  well  assumes  various  forms,  having  for  their  object 
rednction  of  the  loss  of  level  existing  in  the  more  simple  type. 
extremely  doubtful  whether  any  of  these  modifications  can  be 
idered  advantageous  on  the  whole. 

i»ing  and  FalUntf  Skutlera. — Contrivances  of  this  type  are  ge- 
Ily  suited  for  large  quantities  of  water  where  great  accuracy  is 
required.  The  falling  shutter,  as  used  on  canals  in  England 
Dotland,  is  an  oblique  shutter  hinged  below,  and  raised  or  low- 
in  front  of  an  opening  in  the  side  of  the  canal  by  two  floats  in 
■Bee,  the  water  passing  over  the  upper  edge  of  the  shutter  in  a 
ttbly  uniform  volume.  The  rising  shutter  is  a  vertical  shutter 
out  of  an  opening  in  the  side  of  and  down  to  the  bottom  of  the 
1;  it  is  raised  or  lowered  by  means'of  a  float  attached  to  it  by 
un  passing  over  a  runner,  the  float  being  in  a  separate  chamber, 
heving  trunnions  and  friction  rollers  running  in  curved  grooves 
jcesses  on  each  side  of  the  chamber ;  these  curves  require  very 
rate  construction  in  order  that  the  discharges  may  not  vary 
JT  different  heads,  Shutters  of  this  description  having  pres- 
on  one  side  only  are  very  liable  to  stick,  and  get  out  of  order ; 
are  hence  very  inferior  in  practice,  although  new  ones  uuder 
nrable  conditions  can  be  made  to  work  very  accurately. 
he  above  three  types  comprise  the  whole  of  the  non-portablo 
acting  modules  that  have  been  much  used  in  practice  to  good 


ortable  Self-acting  Modules. — In  this  class  we  comprise  such 
nles  as  could  be  removed  or  replaced  without  much  difficulty  or 
.  There  are  three  such  modules  that  have  attracted  attention, 
igh  there  are  probably  others  not  so  well  known. 
he  first  is  that  of  Lieutenant  Carroll,  of  the  Royal  Engineers : 
principle  is  exactly  that  of  the  well-known  draught  regulator : 
peuare  of  the  water  is  made  to  regulate  the  opening  in  the 


160  I 

one  case  in  the  same  way  as  an  inereafled  dnui^  of  air  ii  wJU 
to  partially  close  the  opening  in  the  other;  aod  tha ippiiirfMjB 
the  principle  is  excellent  for  the  intended  pnipoMH-^k  euileifl 
almost  entirely  of  iron,  is  simple,  effoetiTa,  and  adipili  of  mmI 
without  causing  much  loss  or  expense.  Drnwinga  af  this  Biifl 
are  given  in  the  Burkhi  ProfessiiHial  P^ipara,  ■ 

The  second  is  a  modificatiim  of  the  faydmnlia  lift  Mgdrifl 
invented  by  the  late  Mr.  Appold,  used  to  n^golate  the  denrtM 
hydraulic  passenger  lifts  under  a  yariaUe  load  |  ii  baa  beeai||ll 
to  its  new  object  by  Mr.  W.  Anderson  of  the  firm  of  EastooiH 
Anderscm,  and  in  some  respects  resembles  the  mode  of  lisBleia 
Carroll :  the  velocity  through  the  pipe  of  disehazge  is,  hewom^fl 
this  case  made  to  move  a  suspended  plate  of  ourved  feim,  laM 
of  an  opening  also  fixed  inside  the  pipe,  and  the  opening  if  HkM 
fore  reduced  by  increase  of  velocity.  I 

In  December  1866  some  experiments  were  made  wilk  a  Mh 
Appold  regulator  at  the  request  of  Col.  Smith,  eng^eer  to  ■ 
Madras  Irrigation  Company,  and  of  Mr.  Clark,  hydraulic  eagnJ 
to  the  Municipality  of  Calcutta.  1 

In  one  experiment,  in  which  the  regulator  was  used  to  disflkad 
water  from  a  tank  T  T^^'square  internally  during  18  minutes;  ■ 
surface  of  the  water  in  the  tank  sank  as  follows,  in  one  minute  il 
tervals:  8''A,  8i,  8A,  8i,  8,  8A,  8*,  8,  8tV,  8,  8tV,  84,  8f  H 
the  total  quantity  discharged  in  18  minutes  was 

=  r  T  X  r  r  x  S'  Sr  =  197-22  cubic  feet, 

or  about  16  cubic  feet  per  minute. 

In  the  second  experiment,  the  surface  of  the  water  in  the  td 
sank  as  follows,  in  one  minute  intervals  :  SVe,  8-/ii,  8i,  &I,  8^ 
8H,  3f,  31,  3i,  3,  3A,  3i,  3tV,  8i,  81,  8A,  8A,  8«,  ll 
8'| ;  the  total  quantity  discharged  in  20  minutes  was 

^rr  X  rr  x  6' 8"  =  323  cubic  feet, 

or  about  16*18  cubic  feet  per  minute. 

In  the  latter  case  the  heads  at  the  beginning  and  the  eai  * 
the  discharge  over  the  centre  of  the  pipe  were  22-8  fieet  and  13*i 
feet. 

In  each  case  the  same  regulator  or  module  was  used;  i 


151 

aperture  on  the  delivery  side  waa  5"4^|  highi  «d^  &"ii 
or  a  section  of  20"'35  ;  the  swini^er  waa  S''^  wide,  nearly 
ig  at  top  and  Ixittom;  the  case  5j  wide,  and  the  area  for 
asaage  8,^"  x  l|"  =  ll"-77in  section, 
of  tlieee  Appold's  modoles  are  believed  to  be  in  nse  on  the 
ddra  canals  of  the  Madras  Irrigation  Company.  From  the 
!6nce  of  form  that  this  module  posBesses,  being  self-contained, 
£rnally  a  simple  iron  tube,  with  an  enlargement  like  a  bos 
middle  of  it,  that  admits  of  being  attached  or  detached  from 
lee  very  rapidly,  it  would  appear  to  be  far  preferable  to  that 
lit.  Carroll,  and  lees  liable  to  damage  in  transit. 
third  portable  self-acting  module  is  the  design  of  the  author 
work,  and  is  named  the  Equilibrium  Module.  It  consists 
first  place  of  a  box  or  chamber,  baviog  an  entrance  and  an 
ice,  and  one  or  two  air  holes  above ;  within  this  box  is  the 
ftding  from  the  entrance  orifice  for  a  short  length  horizon- 
d  then  turning  vertically  upwards  ;  this  is  terminated  by  a 
;d,  but  has  two  or  four  slits  or  narrow  vertical  openings  in 
m,  through  which  the  water  passes  when  the  module  is  open 
ffkiag.  There  is  ut  all  times  enough  water  within  the  cham- 
above  the  level  of  these  openinga,  and  to  work  a  float 
Ibem ;  this  float,  working  vertically,  raises  or  lowers  the  cap 
ides  over  the  head  of  the  pipe,  and  gradually  opens  or  closes 
its  with  the  variation  of  the  level  of  water  in  the  chamber ; 
must  of  course  be  below  the  low  water  surface  of  the  canal 
;  of  supply.  The  form  of  constraction  adopted  reduces  to  a 
im  the  depth  from  the  water  level  within  the  chamber 
openings,  which  discharge  above  the  sliding  collar,  and 
rases  the  loss  of  head  to  be  unimportant, 
is  also  a  small  module,  possibly  only  a  quarter  larger  than 
ppold  module  before  mentioned,  and  equally  convenient 
irds  portability ;  it  is  simple  in  design,  being  actually 
Store  than  one  of  the  old  types  of  equilibrium  steam 
.Applied  as  a  modulo  in  a  chamber  imder  pressure :  it 
'  however,  be  made  of  any  size,  the  adjustment  of  the 
of  the  orifices  of  entrance,  of  exit,  and  of  the  slit- 
being  the  only  important  points  of  variation.  It 
alflO,  for  rough  purposes,  be  made  generally  of  stone-ware. 


I 

I 


163 

and  the  pipe  would  then  be  square  in  aection  and  hara 
two  slits,  the  other  two  sides  forming  part  of  the  box. 
module  slightly  resembles  the  old  qrlinder  slnioe,  vliieh  ii 
a  modification  of  a  double  beat  steam  valve ;  the  latter, 
is  not  so  simple,  being  fiar  more  liable  to  ehoke  or  get  out 
order,  one  of  its  valves  working  within  the  pipe,  and  it 
therefore  not  so  effective  in  constant  use  as  any  of  the 
already  mentioned  are  likely  to  be. 


2.  MODERN  IRBIOATION  IN  ITALY. 

The  persistent  increase  of  prices  of  the  neoesaaries  of 
in  all  civilized  countries  has,  during  the  last  half-cent 
been  mitigated  by  improved  communications — the  railway 
the  steamer — ^with  countries  less  civilised,  bat  more  capsUe 
production.  That  a  further  and  wider  extension  of  sudi  odmnnh] 
nications  will  continue  to  produce  a  mitigating  effect  we  have  littk] 
doubt;  but  afterwards,  what  have  we  to  look  to?  Manyof  UmJ 
expensive  requirements  of  civilized  existence  admit  of  substitute!. 
For  coal  we  may  substitute  peat  fuel  or  petroleum ;  for  bbM 
hitherto  necessary,  others  less  expensive,  obtained  from  pluiti 
and  grasses  hitherto  neglected,  but  now  forced  by  research  and 
skill  into  the  service  of  man ;  but,  as  regards  our  more  urgent 
wants — ^bread  and  meat — ^there  is  not  now  the  slightest  pfobabili^ 
of  any  substitute  being  found  that  could  materially  relieve  the 
demand  for  them.  We  may  substitute  one  kind  of  meat  for 
another,  or  one  kind  of  com  for  another,  as  bacon  for  beef, 
and  maize  or  millet  for  wheat  and  barley :  but  this  is  merely 
economizing  by  reduction ;  so  wc  may  safely  assume  that  increas- 
ing the  production  of  grain  and  grass  throughout  the  world  is  &e 
principal  mainstay  in  the  future. 

In  highly  civilized  countries,  where  there  is  comparatively  little 
land  fit  for  culture  not  already  under  cultivation,  and  where  high 
fanning  has  already  been  adopted  to  obtain  increased  produce,  it 
may  be  assumed  that  the  best  results  have  been  nearly  reached; 
it  is  therefore  to  less  civilized  and  more  distant  countries  all  over 
the  world  that  we  must  look  for  increased  produce  mainly,  and, 


163 

in  the  first  iost&uce,  by  increasing  and  improving  th£<  cultural)] 
area. 

Of  all  means  of  increasing  agricultural  produce,  irrigatio 
sUnds  justly  at  the  bead,  increasing  the  yield  of  the  very  best 
hnds,  rendering  inferior  lands  capable  of  yielding  crops  of  a 
superior  kind,  and  apparently  nearly  nseless  lands,  sucb  as  much 
of  the  sandy  arid  plains  of  India,  of  yielding  good  crops  of  different 
descriptions ;  the  increased  yield  obtained  by  these  means  sup- 
porting  men  and  cattle,  and  causing,  through  the  manure  derived, 
an  additional  source  of  increase.  The  derelopment,  therefore, 
of  irrigation  everywhere,  its  means  and  methods,  its  economical 
application,  and  the  investigation  of  its  results  under  different 
oonditioua,  become  subjects  of  interest,  not  only  to  the  professional 
hydraulic  engineer,  but  of  vital  importance  and  consequent  interest 
to  every  being  existing  on  the  face  of  the  earth.  Leaving  the 
history  and  archfcolog^'  of  irrigation  for  the  consideration  of  the 
engineer  devoted  to  such  subjects,  contemporaneous  irrigation 
has  besides  a  still  further  interest  for  the  capitalist,  everjiliing 
pointing  to  the  probability  that,  in  and  for  the  future,  capital 
will  be  largely  applied  to  works  of  irrigation ;  the  countries 
wiiere  irrigation  is  likely  to  be  most  productive  being  generally 
incapable  for  the  present  of  using  capital  of  their  own,  and  the 
communications  on  which  capital  has  been  so  largely  utilized 
having  been  so  far  developed  as  to  set  &ee  a  large  capital  for 
other   purposes. 

The  most  interesting  irrigation,  therefore,  will  not  only  be 
contemporaneoos,  but  that  which  is  most  instructive  as  regards 
results.  The  project  for  the  irrigation  of  a  tract  of  land  in  Lorn- 
hardy  by  the  waters  of  the  Lago  Maggiore,  being  carried  out  in 
1872  by  a  small  company  of  local  shareholders,  under  a  concession 
granted  by  the  Italian  Government  to  its  engineers,  Eugenlo 
Villoresi  and  Luis  Meraviglia,  seems  to  satisfy  these  conditions  in 
every  respect.  The  works  arc  not  large,  it  is  true ;  but  it  does 
not  partake  of  the  nature  of  an  experiment,  having  an  element  of 
stability  in  it,  firstly,  from  being  carried  out  in  a  country  more  or 
less  permanently  irrigated  since  the  Middle  Ages,  and  hence  iii- 
stmctive  as  regards  tl^o  development  of  principles,  and,  secondly, 
being  the  result  of  local  effort  fijroing  itself  forward, 


154 

raeeeeding  by  aeting  with  the  wiahes  of  tba  iwiwilriinn,  iiid*> 

pendently  of  foreign  aid. 

The  eompftmtiye  smallneBs  of  thit  piojaek^  ftguB,  kw  ite  advn- 
Uges,  in  point  of  interett,  from  mllowiag  •  peifiMt  dwdbpniwl 
within  itaelfy  and  is  thus  mora  tnily  inatrueUf  is  nhomig  lAil 
might  be  done  on  a  large  scale  with  laige  e^ital,  aad  \f  Ihe 
application  of  the  more  extended  prindplea  not  j«t  adopleJ  ia 
Italj,  bat  already  plainly  indicated  in  the  large  Indian  weike  rf 
irrigation.  Some  of  the  detaila  of  the  aeheine  and  ef  &e  in- 
tended resnlts  will  be  interesting  in  compariwm  wilh  triailar 
data  for  Spain  and  India. 

The  following  information  with  regard  to  the  Lago  MiggiiKt 
irrigation  project,  and  local  matters  in  eonneetkm  with  it»  wu 
obtained  daring  a  visit  in  18711,  from  or  through  the  Diieetor 
of  the  College  of  Engineers,  the  Director  of  the  Sdhool  of  Agri- 
caltoie,  Signor  Cantoni,  and  principally  firom  GHgnor  YiDoMMi 
himself. 

The  tract  of  land  to  be  watered  from  the  Lago  Magpore  is 
almost  entirely  in  the  Milanese  province,  and  is  boonded  by  the 
Naviglio  della  Martesana  and  the  branches  of  the  Naviglio  Ghrande ; 
its  area  is  216  234  acres  and  its  population  459 166.  It  is  peon- 
liarly  dry,  from  causes  that  have  not  yet  been  explained ;  the 
inhabitants  either  collect  rain-water,  or  draw  from  wells  40  to  100 
feet  deep,  and  scanty  in  the  best  seasons,  or  obtain  from  the  pools 
of  the  Biyer  Olona  the  water  for  their  domestic  wants.  The 
springs  or  sources  of  the  Olona  are  now  probably  less  prodactiye 
than  they  were,  and  as  its  supply  is  cat  off  above,  for  irrigation 
purposes  for  an  adjoining  canal,  it  is  nearly  dry  in  the  region  under 
consideration,  the  eight  or  nine  torrents  running  into  it  being  of 
little  value.  There  are  also  eight  torrents  running  towards  the 
river  Lambro,  towards  the  east ;  but  the  whole  of  these,  including 
the  springs  and  the  Olona,  are  not  sufficient  for  the  irrigation  of 
1500  acres  of  ordinary  cultivation  according  to  the  usual  Italian 
>ractice.  The  tract  of  land  has  a  generally  uniform  &11  from  west 
to  east,  and  from  north  to  south,  of  *75  and  '20  per  100 ;  the  soQ 
is  alluvial,  and  classified  into  four  gradations  of  mixtare  of  sand 
and  clay,  covered  with  a  vegetable  stratum  7  to  14  feet  thick,  and 
occasionally  more ;  the  most  sandy  portions  admit  of  being  irri- 


I  with  good  effect,  anc!  generally  consist  of  pasture  litnd ;  on 
I  whole  of  the  rest,  however,  crops  are  grown  independently  of 
\  excepting  the  portioss  covered  with  heather  and  woods,  which, 
a  continutti  cutting,  have  nearly  disappeared.  For  the  cropB, 
I  rotation  in  vogae  is  biennial ;  in  the  tirst  year  a  tirst  crop  of 
Mt  or  rye,  followed  by  autumnal  maize  or  millet  of  Bome  sort, 
Aie  second  year  spring  maize.  Very  small  quantities  of  vege- 
lea,  Sax,  hemp,  and  ravizao  (colza)  are  sometimes  grown ;  in 
I  parts  of  the  wheat-growing  land  trefoil  is  sown  among  tlie 
»t  in  the  spring,  so  as  to  obtain  a  first  cutting  from  it  in  the 
nmn,  and  a  second  in  the  following  spring,  hut  this  is  very 
»]y  successful  for  want  of  sufficient  moisture  :  over  a  larger 
is  and  mulberry  trees  are  planted  ;  in  all  cases  the 
mi  (rentiers,  tenants)  paying  the  proprietor  in  kind,  or  taking, 
I  the  last  case,  part  of  the  produce  in  payment  for  their  labours. 
I  Now,  even  in  its  anirrigaled  state,  this  is  certainly  not  an  unpro- 
utive  region ;  there  is  no  mention  made  of  deficiency  of  crop,  and 
ft  population  is  thirteen  to  an  acre,  although  a  certain  proportion 
t  the  land  ia  scrub,  heather,  and  woodland  ;  and  yet  the  iuhabi- 
i  have  set  to  work  energetically  to  irrigate  and  increase  the 
Over  how  large  an  area  of  the  world  is  there  not  land 
elding  not  one  half  of  this  without  the  slightest  efforts  being 
s  to  introduce  irrigation  !  What  millions  of  acres  not  yieldiiig 
fcqaarter  of  this,  in  India,  are  allowed  to  remain  unirrigated,  or, 
I  the  contemplative  Anglo-Indians  in  charge  would  Bay,  unin- 

1  with! 

I  The  introduction  of  irrigation  would,  under  these  as  well  as 
noet  any  circumstances,  involve  an  agronomic  change,  aud  a 
%fferent  snccession  and  rotation  of  crop,  to  which  in  this,  as  in  all 
eases,  a  certain  proportion  of  the  cultivators  and  proprietors  are 
strongly  opposed,  although  they  must,  from  their  close  ricinity  to 
other  irrigated  lands,  be  fully  aware  of  the  advantages  of  irriga- 
tion. It  seems  difficult  to  fully  account  for  this  feeling  so  often 
shown  in  similar  cases.  Water  has  to  be  paid  for  no  doubt ;  bnt 
there  is  more  produced  wherewith  to  pay.  Is  it  the  timidity  of 
entering  on  matters  on  a  larger  scale,  and  want  of  self-reliance  in 
adapting  themselves  to  a  new  system  ;  or  is  it  that  unreasoning 
obstinacy  so  generally  ascribed  to  agriculturists?     Whatever 


i 


may  be,  the  difBoolty  in  this  case  seems  to  be  partly  met  hj  the 
School  of  Agricnltare,  established  at  Idan,  Uram  ufaieh  mm 
extended  ideas  on  such  sabjects  are  disseminated  throng  lectonB 
and  ready  information  within  the  means  of  i|Il« 

The  first  agronomic  change  proposed  is  the  redmotion  of  the 
whole  of  the  scmb,  heather,  and  woodland  into  enltoiaUe  soil;  the 
second,  a  great  reduction  of  the  yine-growing  aiea  fixr  the  pnrpoeei 
of  coltiTating  com,  the  latter  change  being  justified  by  the  ftot 
that  the  greater  part  of  the  wine  produced  in  this  region  is  of  foy 
inferior  commercial  yalue.  The  wisdom,  however,  of  this  latter 
change  seems  open  to  objection ;  as  a  better  cultivation  of  the  Tine- 
growing  area,  combined  with  winter  floodings,  could  hardly  fiul  to 
produce  a  larger  amount  of  wine.  Assuming,  howe^osr,  that  tUi 
change  is  desirable  (and  several  landed  proprietors  have  adopted 
it),  it  will,  when  general,  reduce  three-quarters  of  the  m^ 
bearing  area  into  cultivated  or  pasture  land.  The  third  agio- 
nomio  change  is  that  of  the  formerly  cultivated  land ;  the  bieooiil 
rotation  having,  under  irrigation,  to  give  way  to  a  more  com- 
prehensive arrangement.  A  typical  rotation  has  been  laid  down 
which  is  quinquennial,  according  to  the  following  table : — 


I  -i 

n    n 


I  s.  1 1  i  -I  I 

I  if  P  a  a  a  s 


S      •■      :     S     S 
I     -I       •     I     -3 

as         n    n 


»  i  M  &  $  i  i 


I    I" 


^  1    I    I     S.    9    I    I 


i    I     • 


I    I    I" 

n    n    l:^ 


s    n 


S  S  M  O  S  H 

g  s  I  I  I  I 


^if 


on 


•§11 

•3-3   1 

n    n    n 


6    I    I    ^    £"   ^    I 


158 

It  is  drawn  ap  to  suit  a  holder  of  fite  aeres,  with  bis  fiumly  k 
cattle.  The  quantity  of  maise  prodnoed  is  one-thad  more  fh 
that  from  land  irrigated  on  the  old  syitem,  and  it  anffideiit 
support  the  family.  The  amount  nnder  pastnze  is  as  luge 
can  be  conveniently  arranged,  in  order  to  seenre  as  mneh  tnuii 
for  the  soil  as  possible,  and,  in  the  ease  of  a  fiye-acre  plot,  i 
support  two  cows.  The  iriieat  and  lye  grown  will  pay  the  lenl 
the  ground  to  the  proprietor,  and  the  spring  hay  the  whole  of 
irrigation,  leaving  the  remaining  crops  to  the  holder  entirely  i 
The  same  rotation  is  suitable  to  a  holding  of  any  sise,  worked 
one  family,  the  basis  being  the  proportions  of  grass,  grain,  i 
other  crops,  which  are,  taking  the  whole  in  ten  parts:— t 
tenths  permanent  pasture;  one-tenth  grass  crop;  three-tei 
wheat  and  rye;  two-tenths  to  spring  maise;  two-tenths 
autunmal  maizes  and  oil-yielding  crops. 

It  will  be  noticed  that  neither  rice  cultivation  nor  marcite  ci 
vation — the  well-known  flooded  winter  grass  crop  of  Italy — en 
at  all  into  the  above  proposition,  being  generally  excluded  f 
the  proposed  irrigational  demand.  This  is  highly  significant, 
appears  to  point  to  the  conclusion  that  such  cultivation  is  ra 
on  the  wane  in  Italy.  Probably  it  is  not  economical  on  well-far 
lands ;  the  winter  grass  .crop  is  believed  to  yield  only  a  qua 
more  through  flooded  irrigation  on  the  marcitorial  system, 
both  this  and  rice  cultivation  are  considered  injurious  to 
public  health  in  Lombardy,  having  been  for  many  years  forbic 
within  certain  distances  of  towns,  cities,  and  villages.  In  Porti 
lands  formerly  growing  rice  are  now  otherwise  cultivated, 
economic  grounds ;  experience  plainly  showing  that  the  produc 
of  other  grain,  and  the  support  of  cattle,  are  more  remuncra 
In  this  special  instance,  as  returns  are  obtained  from  using 
water  for  motive  purposes,  driving  mills,  &c.,  it  is  also  extrei 
probable  that  it  is  not  only  more  convenient,  but  also  more  re 
nerative,  to  use  water  during  the  winter  months  in  that  way. 
With  regard  to  the  injuriousness  of  the  neighbourhood  of 
iltivation,  or  of  any  swampy  cultivation,  there  is  still  consider 
3ubt.  In  India  rice  has  been  grown  close  to  numerous  mili 
^ntonments  for  many  years,  without  any  detrimental  efie 
whereas,  the  neighbourhood  of  a  sing\e  i\ce  '^«.\A\i  Ssi  «b  fotk  in 


■ 

s 

1 

^ 

■ 

■■ 

Hi  IB  sometimes  almost  deadly,  and  anipe  Bhooting  for  a  few 
vp  over  rice  fields  in  Cbiua  and  Ceylon  is   almost  certain  to 
lose  fever.     Medicul  men  have  given  widely  opposed  opinioiiB 
0  this  sabject,  as   well  as  on  the   effects   of  irrigation    gene- 
ally  i  from  which,  apparently,  the  only  sound  conclusion  seems 
obe,  that  irrigation,  properly  conducted,  is  perfectly  innocuous, 
mil  that  it  is  only  when  the  drainage  of  the  country  is  allowed 
0  stagnate  for  a  long  time  that  injury  results.      This  will  per- 
Mlj  explain  how    it   is  that  rice   cultivation    may  or  may  not 
»  injarioQS,  as  in  some  cases  the  water  is  aUowed  to  stagnate, 
aDcUcged  and  without  flow,  for  a  very  long  time— a  perfectly 
anecessary  proceeding,  which,  producing  an  organic  decay  more 
■spid  nnder  high  temperature,  is  the  cause  of  noxious  miasma, 
t  wottid  hardly  seem,  however,  that  in  this  special  case  hygienic 
wsons  alone  would  stop  marcite  and  rice  cultivation^ as  it  need 
"t  be  carried  on  near  villages — but  rather  reasons  of  economy, 
ach  a  eouclnsion   would,   therefore,  show  that  water  is  more 
ooomicaliy  expended  on  other  crops,  and  that  irrigation- water 
hence  becoming  more  valuable  than  formerly, 

i^tfid  land  in  the  tract  under  consideration,  the  following  four 
■ta  gopply  the  data  on  which  it  has  been  based : 

■                                           Table 

1 

I 

AlmK-hei. 

Dtiliwd, 

E,p«,drf. 

1 

Ueid*>. 

Arabia. 

Undo*. 

Amble. 

H«»da«.   AiMt. 

■s^ 

-antoni        

'ommittee  of  Engineers 

5  885 
5  585 
5  885 

a  476 
8  476 
8476 

8  665 
8  411 
10  404 

9  323 
8  454 
11314 

14  550  j  17  7afl 
14 296 116  930 
16  288 1 18  790 

45 131  64  618 

16  045118173 

... 

27490 

29  091 
9  697 

5885 

8  476 

91t>0 

1 

160 


Tabli  XL 

Quantity  of  eantinuoui  water  in  cMe  fa$i  per  Mecoai  per  aer$ 

neeesearjf  far  irrigaium. 


Msudovkad. 

AmUsliid.       j 

ForwKttr- 

ingoMsiB 

Tdajt. 

FSorwsltt- 

iBfOMia 

lOdajt. 

F^vitar- 

iOdsys. 

Do  Bi^(i8      •••        •••        ••• 

Gantoni         •••         •••         ••• 

Gonunittee  of  Engineers    ... 

'  Total 

•02404 
•02362 
•02691 

01683 
•01653 
•01883 

•01471 
•01898 
•01635 

•01029 
•00978 
•O1O06 

•07457 

•05219 

•04304 

•03015 

•02486 

•01740 

•01501 

•01005 

Tabli  HI. 
Area  in  aoree  thai  can  he  krigaiei  hyone  eMe  foot  per  eeeond. 


MsadovUiid. 

AimUekDd. 

Watered 
once  in 
7  days. 

Watered 

once  in 
10  days. 

Watered       Watered 
once  in         once  in 

14  days.        20  days. 

1 

De  R^is       ...         ...         ... 

Gantoni         ...         ... 

Gonunittee  of  Engineers    ... 

X ocai   ...         «.•         ... 
Mean   ...         •••         ••• 

41-46 
4219 
3707 

59-22 
60-28 
52  91 

67-78 
71-26 
60-95 

96-83 
101-80 

98^86 

120-72 

172-41 

199*99 

297-49 

40-23 

57-47 

6666        9916 

Table  IV. 
Supply  neceuary  far  each  acre  of  the  irrigable  area. 


Meadow    ... 
Arable  (?) 
Com  (?)    ... 

Qaantity  for 

J  Quantity  for 

Area  in 
acres. 

Sandy  soil. 

Clayey  soil. 

Qoantity  of 
continnons 
water  neces- 
sary for  one 

acre  in 

cabic  feet 

per  second. 

Product. 

Qoantity  of 
continnoni 
water  neces- 
sary for  one 
acre  in 
cnbic  feet 
per  second. 

Prodaet 

1-48 
1-98 
148 

cub.  ft. 

•02486 

•01501 

cnb.  ft. 

•03679 
•02972 

cnb.  ft. 

•01740 
•01005 

enb.  ft. 

•02575 

•01990 

4-04 

= 

•06651 

or 

•04565 

1-00 

= 

•01346 

or 

■00924 

Result  adopted  for  eaJealation  of  supply  to  one  acre  :  i 
oil,  -01S46  cubic  feet:  in  elttyej  soil,  -00924  cubic  feet. 

To  complete  the  calculations  of  this  part  of  the  subject,  before 
ring  into  details  and  comparisons,  it  may  be  said  that,  dividing 
-   ioial  area  under  command  into  two  classes,  sandy  and  clayey 
>  iir,  the  total  water  supply  required  is  ae  follows ; — 

Cub.  ft.  per  sec. 
For  47  674  acres  clayey  at  -001)24  cubic  feet  =    440 
„    143  016     „     sandy  at  01346  cubic  feet  =  1925 


_Total   190  690  Total  2365 

[  Deducting  an  already  existing  supply  of    ...         310 
I  Adding  for  irrigation  in  a  lower  tract  of  land         388 

I  Supply  required  ...  ...  :=  2443     c.m.J 

I  Hence  the  actual  supply  of  the  canal  is  fixed  =  2825  or  80. 

lie  whole  tract  amounts  to  216  234  acres,  this  would  show  I 
e  than  seven-eighths  will  be  irrigated,  and,  taking  the  quan-i 
kpproximately,  the  average  supply  over  the  irrigated  area  ia.'l 
Mbic  feet  per  second  per  acre,  or  is  such  that  1  cubic  foot  p 
I  will  irrigate  90  acres,  from  which,  according  to  Table  III,» 
e  watering  will  bo  once  in  18  days  or  20  in  a  year. 
1  entering  into  these  general  quantities,  the  priuciples  and! 
k  on  which  they  are  based  require  examination. 
table  I.  the  quantity  of  water  sufiicient  for  one  irrigation  or 
ing  is  taken  at  15  000  cubic  feet  for  pasture,  and  18  170  for 
rlond  ;  it  cannot  be  doubted,  by  any  one  conversant  with  irri- 
T-Btion  in  India  and  Spain,  that  this  quantity  is  excessive ;    the 
iTis  of  both  Piedmont  and  Lombardy  have  for  a  long  time  been 

■  liingly  wasteful  of  irrigation  water ;  they  have  had  the  unusual 
lEtagfS  of  being  able  to  get  as  much  as  they  hke,  and  as  ad- 

■  d  by  themselves  in  Piedmont,  the  waste  is  excessive,  a  natural 
,!r    of  having  been  provided    with  too   much;    in   Lombardy  . 
:i,  those  that  dare  to  raise  their  word  in  private  against  thsa 

.iliuns  of  the  past  have  expressed  strong  opinions  that  water  a«tt.M 
liiere  be  made  to  perform  a  much  higher  duty  than  at  present. 
The  object  of  ordinary  irrigation  in  hot   climates  is  simply  to 
r  the  place  of  rain  and  soften  the  soil,  and  differs  much 


ttch       ■ 


from  the  irrigation  of  lands  in  ooldAr  regions,  wlueli,  partddsgi 
the  natare  of  sewage  irrigation^  has  tar  its  objeei  the 
of  a  fertilizing  sediment  rather  than  a  supply  of  moistnze,  snd 
responds  in  Italy  to  marioitorial  and  rioe  cnltiTBtian  only, 
latter  description  of  irrigation  being  ezdnded  from  the  project 
data  under  consideration,  the  former  alone  has  to  be  dealt  wifli,i 
for  such  purposes  in  India  and  in  Spain  a  watering  of  10  000 
feet  is  ample,  and  would  doubtless  be  enough  in  Italy  also,  eithflrl 
pasture  or  arable  land.  One  such  watering  represents  a  depth  of 
feet  over  an  acre  and  is  equivalent  to  a  oontinuous  supply 
the  year  of  -000817  cubic  foot  per  second.  It  may  be  sud 
under  different  states  of  climate,  soil  and  subsoil,  more  water 
be  required  even  in  hot  climates,  but  to  this  the  reply  is  thatai 
number  of  waterings  might  be  required,  but  not  a  larger  Bopfij 
each  watering.  In  support  of  the  statement  that  10  000  cubie: 
would  be  sufficient,  it  may  be  noticed  that  the  learned  and 
Professor  Cantoni,  Director  of  the  School  of  Agriculture  at  Mihi 
who  has  been  continually  and  is  still  prosecuting  researches  ia^ 
agronomic  and  agricultural  matters,  fixes  his  quantities  lesi 
than  the  previous  data  of  the  older  Italian  hydraulic  engineers,  n| 
far  lower  than  those  of  the  Commission  of  Engineers  (about  M 
eighth  less) ;  it  is  possible  also  that,  were  he  not  an  Italian  a 
holding  a  Government  appointment,  he  might  be  very  much  bd& 
in  his  reduction. 

With  regard  to  the  number  of  waterings,  the  amount  allosf 
appears,  according  to  Tables  II.  and  lY.,  to  be  62  and  26  in  d 
year  for  meadow  and  arable  land  respectively  on  sandy  soils,  audi 
and  18  on  clayey  soils ;  but,  as  the  canals  are  closed  for  deanni 
and  repairs  during  April  and  October,  these  numbers  are  redna 
in  practical  application  to  46  and  28  for  sandy,  and  30  and  15  i 
clayey  lands.  Now,  leaving  out  of  consideration  the  fact  that  the 
waterings  are  a  half  and  three-quarters  larger  than  would  be  reqn 
site  in  India  or  Spain,  their  number  seems  excessive.  In  India  tl 
number  of  waterings  prescribed  on  the  Nageenah  Canal,  NoiC 
West  Provinces,  is  thus  {vide  "Hydraulic  Manual,"  Part  IE.):  F 
fruit  gardens,  8  per  annum  ;  for  hemp,  5  per  crop ;  for  rioe,  indig 
sugar,  tobacco,  grasses,  and  herbs,  4  per  crop ;  tot  cotton,  whai 
barley,  and  grains  and  pulses,  8  per  crop.     In  Spain  tiie  numl 


KstenitgB  in  the  year  generally  necessary  are,  according  to  Mr. 

oWrts'e  oscellent  pamplilet :  For  com,  flas,  potatoes,  olives,  and 

Bts.fi  wateringB;  fonaeadows  and  artificial  grass, 8;  and  for  garden 

'  K.*,  20 ;  and  these  by  no  means  show  the  highest  duty  obtained 

ut  in  Spftin,  for,  in  the  clayey  vegas  of  AJcanadre  and  Lodosa, 

i-j'ji'cs  are  irrigated  with  '0014  cubic  foot  per  second  per  acre 

-Jungh  the  year,  and  only  require  doable  or  treble  that  amount, 

-\,  ■(M)4  cubic  foot  per  second  in  very  dry  seasons  ;  whereas  the 

atcriog  of  garden  land  with  twenty  irrigations  mentioned  above 

quires  'OlS  cubic  foot  per  second  per  acre.     In  both  Northern 

■jil  Soathern  India  "01  cubic  foot  per  second  per  acre  is  considered 

and  liberal  gross  allowance  for  all  crops,  except  rice  and  crops 

J  on  the  fiooding  or  marcitonal  principle,  where  sediment  ia 

I'lc-ct,  while  the  net  allowance  per  acre  yearly  appears  to  be 

I'rom  one-half  to  three-quarters  of  that  amount. 

•    inevitable  conclusion,  therefore,  appears  to  be  that  Italian 

■  L'   gives  uDC-half  too  much  water  at  each  watering,  and  at 

iiie-half  loo  many  waterings,  thus  employing  in  detail  more 

luuble  the  water  thai  is  necessary  according  to  both  Indian 

-^lanish  practice,  the  conditions  of  soil  and  climate  being  more 

r.iiile  in  Piedmont  and   Lombardy   than  probably   in  either 

•  >r  India. 
i'li  reference  to  the  water  supply  in  the  gross,  or  water  duty 
■iie  whole  tract  of  land,  the  ultimate  duty  reached  in  clayey 
.:^_cording  to  this  project,  is  110  acres  to  a  cubic  foot  per 
1.  On  previons  old  works  the  duty  reached  in  Piedmont  and 
■.irdy  seems  to  vary  from  60  to  110,  90  and  100  being  the 
!^votirable  cases,  and  60  to  80  the  more  usual.  In  India  the 
duty  arrived  at  was  on  the  Eastern  Jumna  Canal,  in  1864, 
.1.  res;  on  the  Western  Jumna  Canal,  in  1863,  280  acres;  and 
>.  Ganges  Canal,  in  18G4,  140  acres ;  and  these  on  canals  that 
■I  fully  developed,  thus  pointing  to  a  safe  gross  water  duty, 
-ling  single  waterings,  of  double  that  obtained  in  Italy.  It  is 
■innately  useless  to  mention  these  things  to  Italians,  whose 
of  hydraulic  grandeur  and  authority  are  contined  to  the  Nav- 
^-ij  Ltrande  and  their  old  hyda'aulic  authors  and  engineers ;  to  say 
'.  Oiem  that  there  is  a  canal  from  the  Ganges  that  is  designed  to 

■  Tolomeof  7000 cubic  feet,  or  198  cubic  metres peiBeconl.Vk.] 


i 


164 

eyen  now  anwise,  while  to  attempt  to  explain  that  inigation  is  lu 
only  Oriental  in  origin,  bat  that  ignorant  natives  of  India,  led  1 
militaiymen  who  cannot  be  called  engineen  in  the  dviliiedWeflta 
sense  of  adepts  at  scientific  constmetion,  bat  whose  proper  sphoe 
the  siege  and  the  battle-field,  have,  in  spite  of  a  wonderful  ebm 
mistakes,  sacceeded  in  carrying  oat,  not  only  the  largest  woib 
irrigation,  bat  also  the  most  economic  distribation,  woold  be  i 
tensely  absard. 

The  increase  of  prodace  dae  to  irrigation  in  the  tract  onder  m 
sideration  has  been  calcalated  by  a  commission  nominated  by  f 
College  of  Engineers  of  Milan,  acting  on  behalf  of  the  OoTenuM 
of  the  coantry  granting  the  concession.  Knowing  the  way  in  lAj 
petty  intrigae  enters  into  every  matter  in  Italy,  one  cannot  in  i 
case,  any  more  than  in  determining  the  amoant  of  water  neeen 
for  the  crops,  expect  nnbiassed  data.  Under  similar  dreamsfaaic 
in  England,  no  one  woald  think  of  curtailing  the  profits  i 
hampering  the  undertakings  of  engineers  in  this  manner ;  on 
contrary,  one  would  think,  the  greater  the  profit  and  freedom, 
more  likely  would  be  the  extension  of  similar  works  conduciye  to 
public  good  as  well  as  to  private  interest  in  every  way;  petty  idi 
however,  seem  to  rule  in  Italy.  The  data^  however,  are  interesti 
and  may  possibly,  after  all,  be  accepted  as  tolerably  correct.  ! 
same  amount  of  area  has  the  value  of  its  produce  compared  ui 
dry  and  under  wet  cultivation,  and  the  difference  credited  as 
result  of  irrigation.  The  land  is  divided  into  four  classes  acn 
ing  to  the  degree  of  sandiness,  and  the  results  are  given.  Tl 
for  the  extremes  of  sandiness  and  clayeyness  are  alone  givei 
detail ;  they  are  as  follow : — 


^^^^^^B9~^^l 

- 

16S 

I 

Kb 

« 

^ 

1 

< 

-1                                  tC        «<N 

oo> 

■=-oxoosr^O!oo 

=J  W  *1  •*  ^  0.«  r-.  <M 

O«C00DQ0OO(»tnCTimrHM 

■~  O  r*  O  o  oi  --0 

^■*OT«  coo—      ■     '      * 

ooooooooot^^to 

» 

\ 

1.             oo 

a  o  <N  do  oi  w  ■*   :   :    ; 

9-023 

11-775 

33-562 

25-309 

C  42-052 

C  42-052 

C  11-969 

C   5-691 

isllil! ^ 1 

llliiiliiii  ■■ -M 

■*A( 

;::::■::: 

i:    1    M   M   :   i:^34  1 

si 
II 

•3...-.     |s^ 

Irriaated  Land. 

Wteat 

riai        

Colza      

Maize      

Maize,  aatnmna],  2nd  crop 
Pasture,  three  cuttings 

Groaa      

Straw 

Erbfi  qoartirola 
Mulberry  leaves 
Deduct  for  diBaaters  generally 

Produce  of 

^ 

\a 

^ 

1 

L 

■ 

■^«ooc>oac 


<«  OS  00  ea  o  r- « 


O.  UQ 


OOO      U 


lli^ 


g  I*  t^  m  i»  ^     , 


illii   :   :   -1 


I"  '   '-S  o.sl'l'! 


5^a 


^^ ^ii  '^ 


OW  M 


167  ^^H 

The  gross  result  from  these  data  is  the  followiug  increase  of  valui 
•  f  crop  dae  to  irrigation  for  the  four  clflsses  of  laud,  namely: 

£     I.  d.  Mean, 

Irt  for  the  most  sandy — per  acre     2  11  9-\ 

2nd         ..         ..  do.         2    6  0  / 

3rd  „         ,.  do,         2    2  0  r 

4th  for  the  moat  ckyey      do.  2     0  0  J 

The  results  last  given  seem  very  small ;  but  it  must  be  noticed 
3ut  very  low  values  are  given  to  the  produce,  in  all  cases  only 
Sirce-fourths  the    mean  local   value  for  the  preceding  five  years 
!,:^  applied;  but  they  are  useful  in  showing  how  Jittle  results 
.vithin  the  area  under  consideration.     The  principal  point  of 
■  riance  seems  to  have  been,  purposely  or  otherwise,  entirely 
'I'ld  ;  the  yield  per  acre  of  wheat  is  assumed  to  be  the  same  both 
ii.r  irrigation  and  otherwise.     The  maize,  the  staple  food  of  the 
r-  ^isuntrj',  is  assumed  to  yield  more  than  a  half  more,  and  the  mul- 
berry crop  of  leaves  one-seventh  more ;  but  the  wheat  is  supposed 
Oct  lo  be  affected  by  irrigation.    Now  in  India,  where  crops  are  grown 
Imendent  on  the  annual  rain,  as  well  as  assisted  by  irrigation,  the 
ise  of  yield  of  grain  due  to  irrigation  is  large ;  cereals  and  oil 
yielding  from  a  quarter  to  a  half  more. 
There  can  therefore  be  little  doubt  that  there  must  be  some 
of  yield  of  wheat  also  in  Italy,  and  it  appears  unfortunate 
A  any  profits  due  to  irrigation  in  any  way  should  be  allowed  to 
IB  unnoticed.     If  the  object  is  to  show  as  little  profit   to  the 
idholder,  and  hence  obtain  water  at  as  a  low  rate  as  possible  by 
devices,  it  is  a  very  shortsighted  one,  on  behalf  of  the 
toremment  of  a  country,  the  sole  result  of  depreciating  the  value 
profits  of  irrigation  being  to  leave  the  country  uuirrigated  and 
hui  impoverished  agricultural  state.     Taking,  however,  the  figures 
by  the  Commission  as  relatively  correct,  these  show  that  the 
of  irrigation  is  to  more  than  double  the  value  of  the  produce 
idy  soil,  and  to  increase  it  by  nearly  two-thirds  on  clayey  soil, 
when  the  improved  rotation  of  crop  is  adopted ;  and  at  the  same 
jirove  clearly  that,  if  allowance  be  made  for  an  increase  in  the 
1 1  i-e  of  wheat  per  acre,  and  for  higher  rates  for  values  of  produi 
(sUy,  the  value  of  produce  dne  to  irrigation  ia  fuUj  douHei 


I 
I 

ue  \ 

he^H 

1 


168  I 

the  luidB  tlint  benefit  least  by  it.  The  importance  of  so  ii 
nrtiblfi  «  fact  rcquii'es  no  comment,  and  it  becomes  a  coi 
baoB  Eor  calculating  what  amount  of  wat«r-rate  conld  be  ea; 
under  »  more  correct  valuation  of  produce.  Taking,  hove 
present  nl nation,  which  gives  as  an  increase  of  ralac  ] 
£2  S*.  U  a  moan,  thou^'h,  perhaps,  it  woald  be  more  corro 
mmej£8,  to  determine  the  water-rate  per  aero  adopted,  viz., 
and  7a.  6d.  for  Bandy  and  olayej  soils,  respeettnly,  it  voolt 
thai  the  water-rate  is  fixed  at  a  inioe  aboat  one>fifth  of  the 
of  Tslae  resulting  from  the  aid  of  the  water,  the  landed  pre 
inotming  at  their  own  expense  tlie  costs  of  levelling  ant 
their  land  for  irrigation,  and  keeping  their  own  benches  o 
bution  in  a  proper  state  of  maintenanee.  This  is'donbtlee 
low  water-rate ;  bat  the  oircomstanoeB  under  whieh  this  ii 
projeet  is  being  carried  out  are  peculiar,  and  the  terms  of  1 
cession  are  drawn  ap  to  soit  the  case.  But  of  this  mo: 
after. 

The  following  is  an  abstract  of  the  cost  of  the  works  of  1 
Maggiore  project : 


Hesdworks     £25{ 

No.  1.  Main  canal  SO  miles,  section  604  square  feet  21fi 

2.          „           14J          „            820          „  12f 

8.         „          18  J         „           841         „  102 

Secondary  canals,  182  miles  in  all        ...          ...  83 

Keepers' houses          .,.           ...           ...           ...  2 

Legal  expenses            ...          ...           ...           ...  15 

Engineering  expenses...           ...           ...           ...  IT 

Literest          ...                         ...           ...           ...  50 

Miscellaneous            ...          ...          ...          ...  5 

Total         ...  JE880 


169 


Maintenance  AnntiaUy 


Headworks 
Main  canal  63  miles 
Establishment  and  office 
Imposts  ...  • 


Total 


...  £1271 

...  1822 

...  2  400 

...  4  607 

...  £10  000 


Expense  per  Acre  to  Landed  Proprietors, 


Land  occupied  by  trenches 
Excavation  in  trenches 
Boildings        ... 
Adapting  the  land 


Annnal  maintenance  of  trenches  and  adminis- 
tration per  acre  ... 


£ 

8. 

d. 

1 

7 

0 

8 

0 

1 

0 

0 

1 

2 

0 

8  17    0 


1    8 


Details. — The  headworks,  which  include  a  large  basin,  a  large 
navigation  lock  for  communication  with  the  Ticino,  a  roadway  and 
sluices,  do  not  seem  to  have  any  features  worthy  of  remark.  The 
main  canals  are  constructed  to  deliver,  No.  1,  2825  cubic  feet  with 
a  fall  of  -20  and  -15  per  1000  ;  No.  2,  1766  cubic  feet  with  a  fall  of 
•1  per  1000 ;  besides  209  feet  by  26  falls  or  locks ;  No.  8,  580  cubic 
feet  with  a  fall  of  *18  per  1000;  some  portions  are  paved  in  boulder 
work  set  in  earth,  or  in  ordinary  lime,  and  in  some  cases  in 
hydraulic  mortar  over  a  bed  of  b^ton,  with  walled  sides.  The  works 
on  the  three  main  canals  consist  of: 

2  railway  and  tramway  bridges. 

7  bridges  for  provincial  roads. 
65  smaller  road  bridges. 
18  over  crossings  for  rivers  and  brooks. 
27  locks,  mostly  with  bridges  or  outlets. 
56  falls,  syphons,  and  under  passages. 

9^  keepers'  lodges. 


170 

The  seoondary  canak  lure  16  in  numberi  of  difimnt  kiigihBaiid 

BeotioDB ;  they  are  generally  of  four  Beotions. 

Onbioftfliper 
Feet  Moand. 

No.  1.  With  a  bottom  width  of  18*1  oanjing  108 

2*  99                         9*o        fi          to 

8.  »9                      6-6       „        64 

4.  „                     8-8       ,,        80 

They  have  an  inclination  of  *6  per  thonsand;  and  the  works ood- 
sist  of  38  bridges  and  £eJ1b  for  proyinoial  roada,  895  diatriet  road 
bridges,  and  897  petty  bridges. 

The  capitalised  price  of  the  water  in  the  Lago  Maggiore  scheme 

is  fixed  thus  for  total  amounts : 

£    $.  I 

Continuous  water,  per  cubic  foot' per  second    ...     689    4  7 

Summer  water     ...         ...         ...         ...         ...     666  11  6 

Winter  water  22  18  2 

Separating  this  into  payments  over  the  forty  years  in  which  the 

project   is  to  repay  its    costs,   and  allowing   for    6  per  cent,  it 

becomes : 

£    8.  (2. 

Continuous  water,  per  cubic  ft.  per  second  (yearly)  41    7  2 

Summer    ...         ...  ..         ...         ...         ...       89  13  2 

Winter      ...         ...         ...         ...         ...         ...         1  14  0 

And  under  the  agricultural  rotation  adopted,  with  the  quantity  of 
water  necessary  for  each  acre  of  sandy  and  clayey  land,  the  pric^ 
of  water  per  acre  is : 

£    8,  d.  <•  d, 

Sandy,  capitalised        7  14    5  yearly  10  8 

Clayey,         „        „     6    5  11  „         „        „        7  6 

Checking  the  capitalised  result  per  acre  as  follows : 

£   8.    d, 
Sandy  143  016  acres  at  7  14     5  yields  £1  104  088 

Clayey  47  674      „     „  6     6  11  „  262  672 


Total     ...   £1866  766 


171 

ft  that  the  capitaliBed  value  of  the  irrigation  effected  per 
'iban  covers  the  costs  of  conBtruction  and  maintenance 
ks,  which  is  £1  280  000 :  a  further  check  on  this  is 
'  CBpttaliBing  the  value  of  the  water  per  cnbic  foot.  The 
Ital  Bnppl;  of  the  canal  will  be  as  before  stated,  2825 
;  bat  aa  daring  the  first  two  years  the  amount  to  be 
according  to  the  concession,  only  1553'!)  cubic  feet  of 
id  1059*5  cubic  feet  of  winter  water,  from  which  5  per 
to  bo  deducted  for  loss  by  infiltration,  the  capitalised 
lid  be: 

£     8.  d. 
twater  1476  cable  ft.  at  566  116=  £836  257 
„      1006      „     „  at  22  13  2  =       22  793 

Total     ...    i;859  050 

innal  return  under  the  same  circumstances  : 

£    s.  (I. 
r  water  1476   cubic  ft.  at  39  13  2  =  £58  536 
„      1006      „      „    „     1  14  0  =        1710 

Total      ...      £60  245 


|I8  for  navigation  are  calculated  on  the  basis  that  the 
t  compete  successfully  with  the  railway,  when  carrying 
^f  the  present  railway  rates;  and,  applying  this  to  a 
)f  40  tons  sent  by  either  manner,  the  navigation  toll  is 
t  shillings  per  boat  load,  or  about  3J(/.  per  ton  :  it  is  cal- 
st  such  a  boat  would  make  35  voyages  in  a  year  going 
,  the  current,  but  requiring  one  or  two  horses  to  tow  it  Up 
tj  or  full.  On  these  principles  the  expected  return  from 
lis  estimated  at  £12,000;  by  others  as  follows: 

'Tatti,  engineer     £15400 

<  Conte  Annoni       15  200 

(numission  of  the  College  of  Engineers 

Qkn  1800 

tyt  these  data  seems,  by  the  evident  nnderrating     ^J 
vigstion  in  the  last  one  of  tihem,  \Xi  "Ctatyn  'Sx^   ^M 


172 

on  the  oret-eiitimat«d  Bupplj  required  for  irrigation  b;  the  Commis- 
fflOD  of  the  College  of  Enginoera  of  Milao,  and  etreogthens  the 
belief  fcefore  eipreasod. 

The  rotuTDS  for  motive  power  are  Dot  OBtim&ted,  as  it  is  probable 
tbat  Bomo  time  may  elapse  before  it  is  utilized  at  all ;  bat  the 
amount  of  motive  power  is  thus  calculated  :  26  falle  on  28  locks 
having  a  total  fall  of  210  feet,  baring  a  supply  of  woter,  diminisbiDg 
from  494  to  211  cubic  feet,  or  a  mean  supply  of  358  cubic  feet  per 
aeoond.  will  give  2U0  borse  power  a.,  ich  fall,  or  5000  horse  pover 
in  all  on  tbe  main  canal,  and  in  the  ime  way  1000  or  2000  bom 
power  more  on  the  secondary  canaln.  It  will  be  serviceable  for 
thresluDg  com,  Bpinnlng  silk,  col  and  flax,  paper,  clotb,  xai 
other  manufactures.  Otber  retunio 
and  grass-cutting,  water  for  dom^ 
inpply  of  drinking  cisterns  foi 
that  may  be  expected  amunuts  to  : 


ay  also  be  obtained  from  tai 
use,  waab-bouses,  and  the 
.     The  totol  annoal  relora 


By  irrigation 
By  navigation 
By  other  sources 


£60215 
12O00 
3  765 


Considering,  then,  the  total  cost  of  the  works  to  be  £880  000 
And  the  annual  cost  of  maintenance  to  be  ...  10000 
And  deducting  this  &om  the  annual  return  of  ...  76000 
The  remainder        £66000 

represents  an  interest  of  7^  per  cent,  on  the  total  cost. 


It  may  be  interesting,  before  entering  into  comment  on  tb^ 
abject  of  cost  and  return,  to  deduce  the  profit  per  acre  that  th^ 
Mcupiers  of  tbe  land  can  obtain  on  the  whole,  assuming  the  previous 
data  of  increase  of  yield  and  needful  supply  of  water  aa  the  baai^ 
of  calculation. 

The  expenses  per  acre  to  the  landed  proprietors  capitalised  is- 
tbe  foT^goiog  data  may  be  reduced  to  annoal  payments  oTer  the* 


r  years,  allowing  for  i 
d  become  thus : 


interest  on  tlie  capital  of  6  per  ceot.J 


Land  occupied  by  trenches 
Excavation... 
Buildings  ... 

Adapting  the  land  ... 
Maintenance  of  the  trenches  | 
A.dniiniHtratioii  of  all  sorts    J 


0     5 
0  10 


And  the  profit  per  acre  is  then  : 


Cortof 

watar. 

Total 

■  VJne  of 
produce. 

profit  par 

For  sandy  soil 
Forclajtjy  soil     ... 
Mean        

..     d. 

10     8 
7     5 
9     0 

..       d. 

6     3 
6    3 
6    3 

..      d. 
16  11 
13     8 
15     3 

£     I.     d. 

2     8     G 
2    0    7 
2     4     6 

£  ..   d. 
1  11     7 
1    6  11 
1    9    3 

Bosides  this  profit,  the  landholder  is  mnch  benefited  by  the 
fffsct  of  irrigation,  as  the  labour  of  ploughing,  harrowing  and  hoe- 
'ig  ig  much  reduced,  and  again,  as  so  much  land  is  under  paatnre, 
''19  kbour  there  is  reduced  to  nothing ;  the  soil  also  becoroes 
'"Dch  improTed  in  time,  and  the  yield  again  increased  beyond  the 
BiQoijQt  calculated :  for  these  advantages  the  landou'ner  can  again 
'Jwnand  justly  from  him  an  increased  rent;  and  the  capitalised 
'^'ne  of  this  increase  of  rent  will  be  eventually  shown  in  increased 
^sleable  value  of  the  land.  It  is  extremely  unfortunate  that  no 
'''*U  arc  forthcoming  on  either  of  these  points,  especially  as  there 
'"  snch  a  vast  extent  of  land  in  Northern  Italy  that  has  been  brought 
"yider  irrigation  at  different  times  which  could  have  well  supplied, 
*t  least  approximately,  sufficient  information  to  have  given  a  sound 
I'aBifl  on  which  io  rest  expected  results  of  this  nature.  It  seems 
lideed  extraordinary  that  Signer  Villoresi,  the  engineer  of  the  Lago 
Ifaggiore  project,  who  has  evidently  spared  no  pains  in  procuring 
lad  setting  forth  so  much  detaU  bearing  on  bis  scheme,  should 

Kd  to  enter  into  such  an  important  souice  qI  ic,\.-ara.,. 
J 


174 

To  erery  irrigation  nndertakiiig  than  an  tbiee  dimj  and  bpti- 
mate  soorces  of  return. 

1.  The  profit  to  the  shareholderB,  justly  doe  to  fhem,  the  mjjt' 
talists,  directors,  and  engineers,  obtained  by  ehaiging  more  bt  ik 
water  than  it  actually  costs  them,  although  &r  less  than  its  nlni 
as  shown  by  results. 

2.  The  profit  to  the  landholders  or  ooeapiers,  whose  inoieiae  of 
yield,  and  hence  increase  of  profit,  after  paying  the  water-rate  fijad, 
is  due  to  the  supply  of  water  to  the  land  in  the  first  instance.  * 

3.  The  profit  to  the  landowners  by  the  impnrrament  of  thflir 
property  and  land,  from  the  oontinnons  eflfoct  of  irrigation,  andik 
advantages  of  having  water  available. 

Besides  these,  the  indirect  advantages  are  innumerable,  having 
their  effect  on  the  people  and  nation  generally,  as  well  as  on  other 
nations ;  but  these  do  not  admit  of  calculation :  the  three  direct 
sources  of  return,  however,  do ;  and  it  is  solely  by  means  of 
a  careful  investigation  of  their  results  that  the  true  value  of  the  ! 
water  can  be  arrived  at,  with  reference  to  and  in  proportion  to 
which,  and  not  according  to  the  haggling  with  the  users  of  the  water, 
a  just  water-rate  can  be  determined ;  the  success  of  the  irrigation 
project  being  principally  shown  again  by  a  comparison  of  the  cost 
with  the  true  value  of  the  water. 

Failing,  therefore,  to  obtain  information  on  the  increase  of  valne 
of  land  due  to  irrigation  in  Northern  Italy,  the  following  data  for 
Spaiu,  from  Mr.  Boberts's  pamphlet,  will  give  some  indication  of 
what  the  increase  of  value  might  be  : 

Dry  Irrigated 

per  acre.  per  acre. 

Rioja  district  rent  9«.  to  12«.   £9-6  to  JEIO'2. 

Zamora,  Castile      value  £14  to  £18.    £85  to  £41. 

Near  Madrid,     1st  class  land  value  £82  £128 

2nd     „  „  £20  £100 

3rd     „  „  £12  £72 

4th      „  „  £6  £60 

Ampurdan,  Cataluna  „  £100     £200  to  £800 

Spain  generally,  1st  class  land  inc.  of  value  100  to  200  p.  c. 

f>  ,f         inferior  land  „  1000  to  1500  p.  e. 


dM  indicate  that  it  13  most  probable  that  the  valae  of  the 
Kthern  Italy  would  be  at  least  doubled  by  irrigation. 
i,  again,  where  canals  have,  at  least  in  a  very  incomplete 
state,  existed  for  many  years,  the  profits  to  the  land- 
■verj'  plainly  ehown.  A  large  portion,  if  not  all,  of  the 
•tracts  watered  by  the  Ganges  Canal  and  the  Eastern 
ira  Jumna  Canala  are,  like  most  of  the  land  in  Oriental 
the  actual  property  of  the  Crown  or  goTemment  of  the 
Mid  the  rent  of  the  land  in  these  tracts  is  newly  fixed  after 
iriods — five,  seven,  or  eleven  years — the  enhancement  of 
be  land  as  it  becomes  brought  under  irrigation  being  deter- 
those  inter^-als  and  credited  to  the  effects  of  irrigation,  as 
ke  water-rate  paid  by  the  occupiers  of  the  soil.  Turning 
to  "Hydraulic  Manual,"  Part.  II.,  we  find,  among  the 
^ren  by  canals : 


IjamnB  Canal  in   1846 

water 

rate. 

£ 

12  175 

Bjm. 
hancement 

£ 
14  966 

Total 
letunie. 

£ 
27140 

Jumna  Canal 

1845 

29  888 

37  000 

66  888 

[lanal 

1867 

136  S53 

80  018 

216  371 

Sanal 

1868 

244  156 

101  260 

405  416 

ehow  that  in  two  out  of  the  three  great  canals  the 
Dent  of  rent  is  a  larger  sonrce  of  retnm  than  the  water- 
that  it  is  only  on  the  least  developed  canal  of  the  throe 
■  Less,  and  even  then  amounts  to  two-thirds  of  it.  This 
mbt,  under  what  wo  should  call  in  European  countries  an 
Dal  state  of  afTairs ;  and  it  is  evident  that  under  such 
,nccs,  where  the  owners  of  the  works  and  the  water  are 
owners  of  the  land,  they  could,  if  they  preferred  it,  give 
gratis,  and  raise  the  whole  of  the  returns  by  means  of 
uent  of  laud  rent.  In  Southern  India,  unfortunately,  the 
prevails,  of  throwing  into  one  payment  the  water-rate  and 
rent,  so  that  one  ia  unable  to  distmguish  between  the  two 
jS  returns. 

ie  whole,  however,  these   figures,  as   well  as   those  for 
inoontastably  that  the  Undovraar  makes  an  immense 


176 

profit  from  the  results  of  irrigation ;  wherau  fhe  water  owner  hu 
to  haggle  over  a  petty  water-rate  with  the  ooeapier,  in,  oirder  to 
make  it  possible  to  carry  out  the  works  at  all ;  or,  in  other  wends, 
every  one  profits  highly  from  the  water  ezoept  thoae  throii|^ 
whose  skill  and  management  the  water  itf  supplied ;  and,  more,  it 
seems  likely  that  this  state  of  things  will  oontinne  nntil  the 
immense  profits  of  irrigation  are  fully  set  forth  in  such  a  way 
that  ignorance  of  them  can  no  longer  be  profiassed.  When  this 
is  done,  a  more  adequate  water-rate  can  be  demanded,  and  will  be 
cheerfully  paid  by  the  occupier,  and  a  seoond  water-rate  should 
also  be  demanded  from  the  landowner. 

The  necessity  as  well  as  the  justice  of  a  seoond  water-rate 
from  the  landlord  has  been  yery  recently  shown  in  Ihdii, 
although,  of  course,  much  opposition  was  made.  There  are 
certain  districts  in  India  where  the  soil  has  been  either  f^liflnrt^ 
from  the  Crown  by  gift  at  some  period,  or  has  been  put  under  a 
permanent  settlement  of  land  rent  in  perpetuity,  that  cannot  be 
enhanced.  In  undertaking  works  of  irrigation  in  such  districts, 
the  GoYemment  saw  itself  deprived  of  the  main  source  of  return 
obtained  in  other  cases,  through  the  right  of  landownership,  and 
the  difficulty  was,  therefore,  met  by  an  Act  of  the  Imperial 
Government  at  Calcutta  in  1870,  drawn  up  by  General  Strachey, 
Inspector-General  of  Irrigation,  which,  among  other  matters  con- 
nected with  the  subject,  ordained  that  a  water-rate  should  be 
paid  both  by  landlord  and  occupier,  and  besides,  that  a  certain 
small  water-rate  should  be  paid  by  those  owning  or  holding  land 
within  an  irrigable  area,  but  declining  to  use  the  water  or  sell 
their  land.  This  Act  marks  an  era  in  irrigational  matters,  and 
points  the  way  to  the  rest  of  the  world  by  which  carrying  out 
irrigation  projects  may  be  rendered,  as  they  should  be,  sufficiently 
remunerative  to  those  that  undertake  them ;  much  praise,  there- 
fore, is  due  to  the  then  Inspector  of  Irrigation  for  carrying  out  such 
a  measure,  which  must  have  originally  met  with  great  opposition 
in  a  country  like  India,  where  the  natives  will  haggle  over  giving 
a  halfpenny  or  a  penny  for  every  pound  one  may  put  into  their 
pockets,  and  where  the  English,  having  generally  Msely  so-called 
liberal  notions,  would,  in  most  instances,  not  understand  the 
justice  and  true  liberality  of  such  measures. 


B  principles  and  facts  may  be  said  to  have  establisbed  for 
re,  in  Europe  and  elaewhere,  that  a  second  water-rato  can 
demanded  from  t^e  landlord  after  the  laud  ia  fairly 
t  nnder  irrigation,  or,  if  alternatively,  that  the  occupier'e 
e  can  be  increased,  so  as  to  Include  the  two  rates  in  one 
,  leaving  him  to  settle  his  own  proportion  of  it  with  the.^ 


ing  thuB  pointed  out  how  important  an  element  of  piofin 

neglected    in    the    calculations   of   the  Lago  Maggiore 
,,  having  indicated  its  value,  and  shown  how  it  might  have 
raised,  let  us  return  to  the  consideration  of  the  cost  and  „ 
I  data. 

n,  as  to  the  works  themselves  and  their  design,  there  eeemsi 
?  Little  deserving  of  special  comment :  from  the  remarlorfl 
I  the   drawijig  np  of  the  project,  the  use  of  hydraulioB 
<  IB   treated  as  a  novelty  in   Italy,  aud  is  mentioned  i 
',a  adopted  in  Franco  and  Belgium ;  this  may  be  con^ 
the   key-note  of   the  iudigeuous    engineering.      Foi 
meut  of  water,  the  old  modulo  mngiatrale  of  Milan,  will 

trale  as  the  unit  of  water  measurement,  remainsil 
ine  state ;  sluices  aud  outlets  are  also  very  primitive.  I 
I  ourselves  in  England   at   the   present   time   using  the  I 
ffed  locomotive  of  Trevithick  and  the  cast-iron  rails  of'l 
,  and  we  can  understand  the  progress  of  the  Italian^  in 
•  ''snch  of  engineering  equally  important  to  them  as  improved 
i-njnication  is  to  ns;    while,  therefore,  criticism,  on  Itahan 
Tifering  construction  is  quite  oat   of  place  at  present:  this 
lion,  however,  does  not  extend  to  examination  of  the  rosulta  I 
i.'.'ir  works  of  irrigation.  I 

'[,r  coiuplete  scheme,  costing  £880  000,  will  irrigate  190  690 
-  ivith  247'i  cubic  feet  per  second,  out  of  the  2825  of  full  supply ; 
iig   proportionately  for   the  remaining  353   cubic    feet  per 
: .  -.M   ril^ttviu,  as  the  grand  j'esult  of  the  whole  scheme  when  . 
.  ,!,_•  iirdcr,  an  in-igation  of  217930  acres,  or  a  tract  of  389^ 
.[■j.i.t!  iiiili-s,  ftllowinj;  one-eighth  as  unirrigable,  for  the  total  cost 
-that  is,  the  cost  per  irrigable  acre  is  a  little  more  than  ~4,  and 
be  cost  per  square  mile  of  irrigable  tract  is  £2256.     Referring  to 
Eoberts  for  similar  information  for  Spain,  we  get : 

1% 


178 


Oo»t  per  aen. 


••• 


•  •• 


•  •  • 


ProYince  of  Madrid 
Logrooo 
Toledo 
Gerona    ••• 
Leon       ••• 
Navam  ••• 
Onadalajara 

These  are  the  resnlts  of  oarefdlly  compiled  estimaiea,  tint 
for  all  contingencieB  as  well  as  for  liheial  oontraetors'  jHofiti^l 
which  there  is  no  mention  in  the  data  of  the  Italian  prqjecL 

For  India  we  obtain  the  following  lesnlts  on  partly 
canals. 

VotalovUnj.   Iin^itodaiML   ftiek: 


£    I. 

15   6 

716 

6  5 
8   6 

7  10 
7  0 
6  10 


Sq. 


Ganges  Canal,  1864     2  058  714 

1870     2  402  438 

Eastern  Jamna  Canal,  1846  ...  81  460 
Western  Jumna  Canal,  1846  ...  119  405 
Bobilcnnd  Canals,  1864  ...        81 190 


449  788 

••• 
421875 
351  601 
83904 


16,000 

497 

1345 


These  show  results  of  8,  4,  and  5  acres  irrigated  for  £1 ;  an 
allowing  for  difference  in  cost  of  labour  to  the  very  utma 
amount,  one  acre  would  be  irrigated  in  India  for  £1,  against  i 
in  Italy,  or  £5  or  £6  in  Spain. 

The  differences  in  cost  may  perhaps  be  accounted  for  in  ti 
case  of  Spain,  by  supposing  that  the  estimates  for  the  works  tJM 
are  for  really  good  construction  in  the  English  style.  In  t 
case  of  India,  it  may  be  remarked  that  the  acreage  there  gif 
is  the  sum  of  the  acres  irrigated,  continuously,  in  the  autoin 
and  in  the  spring;  e.g.,  the  total  yearly  irrigation  or  acres 
of  the  Ganges  Canal  for  the  year  1868,  given  as  10784 
acres,  is  composed  of  60  664  acres  continuous,  298  604  sprii 
and  734 182  autumn  irrigation ;  this  must  then  be  carefii 
borne  in  mind  with  reference  to  Indian  irrigated  areas ;  but  e^ 
after  making  allowance  for  this,  the  Indian  construction  seems 
far  more  economical  in  prime  cost. 


Wtth  regart 


regard   to   mniDtenance,   the   annaal   cost   in   the  Lago  I 
Aggiore  project  Ib  ilOOOO  for  317  030  acres;  for  Spain  there 
«  no  available  data,  but  in  ludia  wo  have : — - 


EifUb.  and 

±7  340 

12  584 
75  731 


421  875 

351  401 

1  078  400 


Eastern  Jumna  CannJ,  1846 
Western  Jumna  Canal,  1846 
Ganges  Canal,  1868 

oA  the  comparison  indicates  that,  after  making  sufficient  allow- 
D(6  for  difference  of  cost  of  establishment  and  labour,  the  foi-mer 
ostium  far  less  and  the  latter  far  more  in  Italy,  that  maintenance 
mure  in  Italy. 

I  expense  per  acre  to  the  proprietors  in  preparing  the  land, 
jciifhes,  &c.,  is  £3  178.  per  acre  iu  Italy,  against  £G  for  com 
knd,  and  £13  for  garden  laud  in  Spain ;  but  this  is  a  matter  that 
iqiends  BO  mnch  on  local  circumstances,  that  the  comparison  is  of 
iltle  value.  Nor  again  is  the  point  of  expense  to  the  occupier 
t  great  importance.  In  most  laud  fit  for  irrigation  the  expense 
■miot  be  very  heavy  ;  the  work  is  done  by  the  occnpier  and  Hb 
nuilj  or  field  hands  during  the  time  that  would  otherwise  be 
noccnpied,  or  at  least  comparatively  so ;  and  the  labour  expended 
I  more  than  counterbalanced  in  perpetuity  by  the  saving  of  work 
t  the  operations  of  ploughing,  harrowing,  and  hoeing  on  irrigated 
BMUid,  which  is  considerably  less  than  in  dry  land. 

The  data  of  cost  of  all  sorts,  taken  with  reference  to  the 
9eage,  do  not  thus  indicate  any  advantages  iu  point  of  economy 
1  favour  of  Northern  Italy  over  Spain  and  India ;  it  has  not,  of 
nne,  been  possible  to  obtain  strictly  corresponding  data,  but  it 
IB  been  shown  quite  possible  to  draw  undeniably  just  compari- 
tua  from  those  given,  after  making  due  allowances. 

It  may  be  urged  that,  to  relieve  the  comparisons  entirely  from 
tj  doubt  regarding  acreage,  it  would  have  been  better  to  keep  them 
ittrely  in  terms  of  cost,  price,  value,  and  return  per  cubic  foot 
ir  second  of  supply ;  of  this  there  is  little  doubt,  and  it  would 
iTe  been  so  arranged  had  snfficient  data  been  available  in  that 
rm  ;  there  are,  unfortunately,  none  forthcoming  ior  Spain,  aod  J 

fL>r  Indian  returns,  in  many  cases,  the  terms,  cost,  price,  audi 
^HM  used  without  proper  discrimination :  t&ViQg  IWb&  i«i\.'QTQaJ 


180 

rigidly,  the  cost  should  be  the  expense  of  the  works,  or  ctpitil 
account,  per  cubic  foot  supplied  ;  the  value  should  represent  thi 
whole  of  the  benefits  valued  and  summed  per  cubic  foot,  and  the 
price  the  simple  water-rates  paid.  Such  data,  however,  as  can  be 
procured  are  as  follows : — 


Sapplj. 

Toteleort. 

Gotkper 

eiibie  foot 

piTMOQIld. 

peroliB 
feet  par 

c«b.  ft 

£ 

£ 

I 

2825 

880000 

307 

42 

4300 

2402  4SS 

558 

44 

956 

194575 

206 

62 

2800 

119405 

42 

24 

Ijago  Maggiore  project     ... 

Ganges  Canal,  1870 

Eastern  Jumna  Canal,  1870 
Western  Jumna  Canal,  1846 

These  are  not  very  instructive,  as  the  supply  mentioned  is  p» 
bably  not  in  all  cases  'the  supply  actually  utilised  in  irrigitki 
alone,  and  the  price  yearly  may  in  one  case  not  include,  as.  li 
should,  the  amounts  obtained  by  increase  of  laud  assessment 
It  must  be  remembered,  also,  that  the  data  for  Lago  MaggioR 
are  those  of  a  completely  developed  project,  whereas  in  the  Inditf 
data  they  are,  excepting  the  last,  those  of  only  partly  or  imper 
fectly  developed  works. 

That  the  water-rate  of  the  Lago  Maggiore  project,  10«.  8(f.  fa 
sandy,  and  Is.  5<Z.  for  clayey  soils  per  acre,  is  very  low  indeed 
may  be  shown  by  comparison  with  the  following  rates  in  Spain 
most  of  which  are  fixed  merely  to  pay  for  repairs  and  guards,  th 
works  belonging  to  the  land  without  having  any  interest  to  par  of 

Water-rate  per  acre  yearly. 

Canal  del  Urgel  . . .  19«.  Brf. 

Tagus  Valley  ...  ...  10  per  cent,  of  the  produce. 

Malaga  ...  ...  19«. 

Lobrigat         ...  ...  58.  6(?.  to  17«. 

Aragon  ...  ...  48.  to  £1  78. 

Cataluna         ...  ...  128.  to  168. 

Navarra  ...  ...  128.  for  four  irrigations  yearly. 

Now  Canals    ...  ...  l8.  7rf.  to  28.  4d.  for  each  watering. 

Frequent  custom  ...  10  per  cent,  of  the  produce. 

If  10  per  cent,  of  the  produce  determined  the  water-rate  on  tb 
Lago  Maggiore  tract,  it  would  be  from  £2  1G8.  to  £3  l8.,  instead  o 
7s.  Bd.  to  10$.  6d.,  and  this  wouVd  \>to\>^\A^  be  a  &irer  water-rftU 


181 


W  auatgh  htts  been  pnt  forward  to  show  how  the  project  has  been 
tnndered  of  its  apparent  profits,  by  requiring  too  much  water  per 
•K,  and,  besides,  by  underrating  pointa  on  which  the  water-rate 
id  the  estimate  of  the  value  of  the  resnltB  of  the  water  have 
>eu  based. 

This  happens  to  be  of  no  importance  whatever  in  this  special 
MS,  as  the  association  carrying  out  the  norks  consists  of  users  of 
IB  water,  occupiers  and  landowners,  who  make  and  take  the  whole 
'  the  profits  in  whatever  shape  tbey  may  appear;  their  object  is 
<  dear  themselves  of  the  prime  cost  of  the  works  in  40  years, 
id  retain  the  works  permauently  as  their  owu  after  that  time ;  and 
I  they  can  do  so  by  so  fixing  the  rates  as  to  pay  only  7  J  per  cent. 
1  the  cost,  this  arrangement  suits  their  purposes.  Beyond  this, 
e  coDclusions  one  would  be  liable  to  arrive  at  with  reference  to 
JB  sclieme,  that  Ts.  6rf.  or  10s.  6d.,  are  just  and  fair  water-ratea 
r  Northern  Italy,  and  7|^  per  cent,  is  a  fair  profit  on  such  works 
ere,  are  evidently  false. 
If  tLese  works  had  been  carried  out  by  shareholders  not  owning 

holding  the  land,  a  really  remunerative  water-rate  of  as  much 

a  half  of  the  value  of  the  increase  of  produce  resulting  from 
rigatioD,  which  is  evidently  much  more  than  .i2  4s.  8d.  per  acre, 
old  be  easily  paid  by  the  occnpiers  in  the  first  instance,  still 
ning  large  profits  both  to  occupiers  and  landowners,  and  from 
e  latter  again  the  second  water-rate  might  be  demanded ;  the 
g>lu  themselves  might  also  he  sold  at  some  fixed  price  either  to 
li  Government  or  the  landowners  for  a  hundred  years,  having 
IsQy  p(ud  30  per  cent.,  as  the  preceding  examination  has  shown. 
rbeo  it  is  considered  that,  even  then  the  landholders  would  be 
itUed  to  increase  permanently  the  value  of  the  produce  of  their 
ads  by  one-half  without  any  risk  or  investment,  it  seems  extra- 
'dinary  that  Italian  landholders  have  not  already  largely  invited 
«  nse  of  foreign  capital  for  such  undertakings  and  hypothecated 
f^  lands  with  this  object. 

The  preceding  inquiry  into  the  value  of  the  results  of  irrigation 
m,  it  IB  hoped,  have  furnished  ample  evidence  of  the  immense 
ofita  to  all  concerned  that  works  of  irrigation  can  produce,  and    . 
|MpAtimted  clearly  that  it  is  solely  due  to  a  want  of  careful  iuNOft-   ■ 
^^^^^Kfli^  hare  been  so  much  ignored  bitketto.  ^^^H 


182 


8.— THE  CONTROL  OF  FLOODS. 

The  prevention  of  the  sabmergenoe  of  land  by  inimditioiil  bm\ 
overoharged  rivers,  and  the  drainage  from  Tnarahea  and 
land  of  the  water  that  has  been  allowed  to  aoenmnlate  omit^ 
kindred  engineering  problems  that  appear  at  first  sifl^t  to 
bat  little  difficolty.    Their  theoretical  eolation,  when  mereljoai 
small  scale,  is  ready  and  simple ;  on  a  larger  one,  howeiv, 
practical  details  broaght  into  these  problems  affect  them  to  sodil 
degree,  that,  althoagh  the  principles  involved  cannot  be  ssidto 
sabverted,  their  carrying  oat  is  fbroed  into  a  oranpaiaAivefy 
form. 

Land  liable  to  snbmergence  from  a  river  is  lower  than  the 
flood  level,  and  in  open  communication  with  it;  the 
consist,  therefore,  either  in  lowering  the  extreme  flood  level  in  tbsi 
channel  by  providing  other  passages  for  the  water,  partially  di^ai- 
ing  it,  or  dredging  out  a  deeper  channel,  or  by  warping  np  the  Iioli 
liable  to  sabmergence,  or  by  catting  off  possible  commnnicationil; 
flood  stages  between  the  river  and  the  land  by  means  of  embank* 
ments.  Submerged  land,  again,  remains  in  that  condition  kt 
want  of  sufficient  natural  outfall ;  an  outfall  has,  therefore,  tote 
cut,  tunnelled,  dredged,  or  enlarged  to  a  sufficient  extent  to  allof 
gravity  alone  to  do  the  work,  should  that  be  possible  or  economiciQf 
sufficient ;  in  other  cases  pumps  are  indispensable.* 

Lnagining,  then,  the  case  to  be  one  of  an  area  of  a  few  hundred 
acres,  liable  to  inundation  from  a  river  with  a  moderate  dediritj, 
the  application  of  these  principles  involves  generally  but  little  diffi' 
culty  as  regards  engineering,  and  becomes  a  local  economic  question, 
rather  than  an  engineering  practical  problem.  Patting  the  cue 
again  on  a  large  scale,  a  vast  tract  submerged  by  the  floods  of  i 
river  having  a  very  small  declivity — the  usual  condition  when  large 
areas  are  submerged — the  dimensions  entering  into  the  works  thst 
would  be  necessary  in  adhering  rigidly  to  the  above  prindpkfl 
become  so  large,  that  their  complete  execution  is  positively  im- 
possible  in  most  cases.    Lei  na  adduce  the  embankments  of  the 


183 

,ii('es,  the  Miihanudtli,  the  Po,  and  the  levees  of  the  MiBsieslppi, 
lich  are  not  and  never  can  bo  complete  and  sufficiently  developed 
ineme,  hy  means  of  themselves  alone,  the  absolute  protection  of 
the  IuiiiIb  oq  their  banks  from  the  devaatating  effects  of  extreme 
ods. 

this  it  might  be,  thoagh  perhaps  rather  thoughtleBsly,  replied, 
extensive  works  may  be  so  costly  as  to  be  impossible,  but 
the  application  of  the  principles  need  not  vary.  It  is,  however, 
at  of  fact  also  a  matter  of  modification  of  the  application  of 
pie. 

»  ease  of  a  comparatively  small  river  supplying  the  flood,  very 
',  and  in  most  cases  totally,  limits  the  consideration  of  the 
to  its  principal  point,  the  extreme  flood  level ;  the  catchment 
a  small  river  being  tolerably  nniformly  sapplied  thioughont 
afall,  its  upper  portions  do  not  require  very  special  consider- 
;  the  declivity  of  the  small  river  being  tolerably  rapid,  the  eon- 
of  the  lower  ranges  of  the  river  does  not  affect  the  matter 
ly  very  important  degree.  Remote  local  conditions  being  com- 
ively  disregarded,  and  it  being  possible  to  cope  with  the  flood 
B  required  point  both  successfully  and  economically,  the  works 
Ired  are  necessarily  small. 

1  a  largo  scale,  on  the  contrary,  the  extreme  fiood  level,  the 
re,  causes,  and  duration  of  the  flood  may  be  greatly  affected 
ly  of  the  physical  conditions  of  the  entire  catchment  area 
)  r^on  watered  by  the  river  and  its  tributaries,  from  the 
ft  hill  on  the  watershed  down  to  the  currents  of  the  ocean, 
beyond  the  river's  month ;  and  as  these  physical  and  meteor- 
al  conditions  vary  greatly  throughout  large  countries,  a  perfect 
of  them  as  regards  the  country  under  consideration  is 
tely  neceaaary  in  order  to  arrive  ot  sufficient  information  to 
I  one  to  propose  measures  for  the  mitigation  of  the  effects 
I  flood.  In  other  words,  the  natural  drainage  of  the  whole 
,  (uder  any  slato  or  circumstances,  as  well  as  everj-thing 
practically  affects  it  in  any  way,  must  bo  thoroughly  known 


will   be  unnecessary   to   dilate   on    the   pliysical    laws 
i8  of  our  sphere,  matters  best  understood  from  studyii 
works  on  jih_ysicsl  geography  to  bo  found  in  ao^ 


anfl 
lyinfl 


184 

library :  and  a  knowledge  of  these  will  hence  be  sssiimed.  Th 
detailed  knowledge,  however,  of  the  physieal  conditionB,  and  speciall] 
of  the  rainfall  of  the  region  under  conaideration,  may  possibly  not  1m 
obtainable  from  any  book  whatever.  It  is  not  sufficient  to  possea 
meteorological  statistics  of  observations  taken  at  a  few  towns  il 
the  valley  of  the  river,  and  at  one  or  two  points  or  villages  on  Um 
hills ;  it  is  needful  to  know  definitely  what  is  the  greatest  amouni 
of  rain  that  ever  falls  in  the  region,  the  greatest  area  in  it  ova 
which  rain  falls  at  any  one  time,  and  which  portions  of  the  am 
they  are  likely  to  be  at  any  time  ;  or  generally  how  much  wato; 
when,  and  where,  so  that  it  may  be  practically  accounted  fbc 
Detailed  observations  taken  for  many  years  at  a  very  large  numba 
of  meteorological  stations  are  therefore  requisite,  and  it  is  almori 
painful  to  reflect  in  how  very  few  instances  are  even  a  modeiaielj 
small  number  forthcoming.  As  a  notable  exception  to  this  qppt* 
rent  apathy,  may  be  noticed  the  large  number  of  meteorologial 
stations  in  the  United  States  of  America,  and  the  large  sum 
annually  spent  by  their  Government  in  obtaining  such  information. 
Besides  the  meteorological  data,  a  correct  detailed  topographical 
and  hydrograpbical  knowledge  of  the  whole  of  the  catchment  ofi 
the  river,  based  on  engineering  surveys  and  velocity  observations, 
is  necessary  in  order  to  determine  the  discharge  and  the  flood  level 
of  the  river  at  any  time,  and  under  any  possible  meteorological 
condition.  Ha\'ing  all  this  information,  we  are  enabled  at  anytime 
to  state  what  will  be  the  results  in  rise  and  amount  of  discharge 
of  the  river,  corresponding  to  and  resulting  from  any  special  rainfall 
lasting  for  any  usual  or  unusual  time  over  an  area,  or  detached 
portions  of  area  within  the  catchment  basin,  and  the  evils  to  be 
contended  with  are  then  fully  known  before  commencing  to  deal 
with  them  and  attempting  to  mitigate  their  ill  effects  by  means  of 
engineering  works  of  any  sort. 

To  this  it  may  be  replied,  that  the  expense  of  obtaining  all  these 
data,  and  especially  those  of  a  hydrograpbical  and  topographical 
nature,  which  cannot  bo  done  except  by  skilled  hydraulic  engi- 
neers, must  necessarily  be  very  large;  and  if  after  all  this  it 
should  be  discovered  that  under  any  circumstances  no  engineering 
works*  could  remove  the  evils,  or  even  moderate  them  to  an  im- 
portant  extent,  the  expense  would  have  been  uselessly  incurred. 


185 


'  Not  entirely  so.  Even  shonld  no  works  be  attempted,  the  infer 
aation  can  be  made  use  of  in  the  protectiou  of  human  life,  and  in 
thus  mitigating  the  fearful  effects  prodoced  by  sudden  and  deTas- 
tatiug  floods.  The  extent  of  land  liable  to  submergence  nuder  cer- 
Uin  conditions  of  rainfall  in  any  part  of  the  country  being  known 
U)  a  practical  certainty,  the  telegraph  can  he  employed  to  warn  the 
inhabitants  of  an  impending  flood,  and  allow  them  to  save  at  least 
thuir  own  lives,  and  perhaps  also  that  of  their  cattle  and  movable 
valaables.  It  may  be  nrged  that  the  terrible  catastrophes  resulting 
in  large  loss  of  life  generally  commence  with  the  bursting  of  an 
embankment,  which  happens  before  the  flood  overtops  it;  doubtless 
:  IS  80,  bnt  it  would  be  an  important  part  of  the  topographical 
„;;i^wledge  to  ascertain  to  what  height  of  flood  these  embankments, 
■iihich,  when  in  sound  condition,  are  in  most  cases  only  sufficient 
protection  against  veiy  moderate  floods,  are  practically  safe. 
Timely  warning  could,  therefore,  be  afforded  in  any  case,  and  the 
inhabitants  would  be  spared  the  terrible  infliction,  in  case  of  flood, 
of  watching  the  waters  rising,  and  not  knowing  cither  how  much 
higher  they  might  rise,  or  to  what  height  of  flood  their  dama 
might  be  safe. 

But  to  proceed  to  the  main  object,  the  protection  of  the  land,  as 
well  as  its  inhabitants,  when  the  matter  is  one  of  large  extent  and 
importance. 

The  usual  practice  hitherto,  notably  in  the  case  of  several  dis- 
tricts in  Holland,  seems  to  have  been,  to  construct  continuous  lines 
'jf  embankment  along  all  the  existing  edges  of  the  various  channels 
iif  the  river,  and  discharge  the  waters  withiu  them  on  the  flooded 
laud  into  the  rivers  by  means  of  pumps.  This  caused  no  doubt  a 
c«Ttuin  amount  of  mitigation  of  evil  up  to  certain  height  of  flood 
level  only;  beyond  that,  it  is  sufficiently  evident  in  theory,  and  has 
been  fully  established  in  practice,  that  the  means  employed  cease 
to  be  a  remedy,  and  bccomo  a  decided  aggravation  of  the  cause  of 
disaster,  effecting  an  excess  of  external  pressure  on  the  embank- 
ments. Besides  this,  as  the  channels  of  the  river  are  under  these 
eircnm stances  allowed  to  silt  themselves  up,  not  only  the  bed  level, 
mt  also  the  flood  level  corresponding  to  the  same  amount  of  dis- 
,  is  allowed  to  rise  also ;   a  second  aggravation  of  the  evil. 

^  Has  t^htiiv^  imm^H^^igt^fif.  these,  .g 


186 

bankments  canseB  them  to  be  exceedingly  ooetly.  Theie  time 
reasons  will,  it  is  hoped,  have  snfBoieiiUy  dflDMHUtnted  ths 
Mlacy  of  employing  the  means,  that  are  oecaaionaJly  apprqpiiiie 
on  smaller  works,  to  those  of  large  extent. 

Before  entering  into  the  subject  of  works  baaed  on  better  piin- 
dples,  let  us  first  examine  the  conditiona  of  a  flood  under  dxeam- 
stances  that  admit  of  easy  personal  obsermtion. 

Let  us  imagine  ourselyes  to  be  standing  on  the  bank  of  an  Indiin 
river,  as  wide  as  the  Thames  at  Hammersmith,  in  a  numnm 
season  of  unusually  high  rainfidl,  the  maximnm  annual  rainfall 
being  74  inches,  the  day  maximum  7  inches.  The  mansnn,  or 
periodic  rainy  season,  has  set  in  tolerably  mildly ;  the  river  swells, 
increases  in  depth  and  velocitjr,  and  is  discoloured  at  first ;  thii 
afterwards  passes  away,  and  the  water  then  runs  steadily,  tokntb^ 
clear.  The  rain  increases  in  the  plains,  and  the  Aj  gives  pros- 
pects of  a  heavy  storm  in  the  direction  of  the  uplands  of  the  riier. 
Let  us  watch  the  effect.  The  rainfiill  of  the  plains,  in  fact  the 
downpour  all  around  us,  increases  the  depth  and  the  velocity  of  the 
river,  but  its  colour  is  unchanged,  in  fact  it  seems  nearly  pure. 
Suddenly  a  roaring  of  waters,  like  that  below  an  overtopped  mill 
weir,  is  heard,  and  up  stream  we  notice  a  white  line  of  foam 
approaching ;  three  or  four  minutes,  and  a  flood  sweeps  by  on  the 
surface  of  the  river,  like  a  wall  of  water  3  or  4  feet  in  height ;  all 
this  water  is  muddy  and  dark  with  detritus.  The  waters  after  this 
again  rise  still  higher  for  twenty- four  hours,  but  are  yet  muddy; 
the  low-lying  lands  near  the  river  are  submerged.  We  learn  afte^ 
wards  that  a  considerable  fall  of  rain  has  taken  place  in  the  uplands 
of  the  river,  and  that  towns  and  villages  in  the  plains  have  been 
inundated. 

Such  is  the  flood,  its  subsidence  is  a  matter  of  less  moment; 
and  such  is  the  type  of  flood  to  which  those  causing  serious  catas- 
trophes generally  belong.  In  this  case  we  fully  satisfy  ourselves  of 
the  rationale  of  the  flood ;  the  lowland  water  rises  steadily  and 
clear,  going  perhaps  one  mile  an  hour ;  the  upland  water  comes 
down  with  a  velocity  of  nearly  six  miles  an  hour  and  charged  with 
silt, — for  where  else  is  this  velocity  and  this  silt  to  come  from 
except  from  its  course  in  the  hills ? — and  tops  the  lowland  water; 
the  combin&tion  of  waters  gradusllj  docieasing  in  speed  spread 


ilrea  oiit  OTer  Uie  land  in  the  first  locality,  where  the  form  of 
lel  and  hanks  adiuit  of  it,  and  perhaps  in  moie  than  one, 
even  for  miles  beyond  the  natural  bed  of  the  river. 
How  is  such  a  flood  to  be  controlled  ?  Apart  from  the  Dutch  pi-in- 
ulready  shown  to  be  fallacious  on  a  large  scale,  there  are  only 
methods,  either  or  both  of  which  can  be  adopted.  The  first,  the 
ivement  of  the  whole  of  the  natural  drainage  hnea  of  tlie  country 
sncb  an  eitent  that  the  velocity  of  the  waters  may  under  such  cir- 
cnmBUnccs  be  increased  throughoat  the  whole  course  of  the  river, 
aud  a  little  beyond  it,  into  the  sea  or  next  large  river,  and  so  that 
the  nKtural  bed,  thus  improved,  may  bo  sufficiently  large  to  carry 
off  uy  previously  known  flood,  without  being  exceeded.  The 
Kcond,  any  means  of  separating  the  upland  from  the  lowland 
wlers,  holding  or  retarding  either  the  one  or  the  other,  or  portions 
of  either  one  or  the  other,  and  providing  for  their  discharge  either 
Mparately  in  different  courses,  or  at  different  times  in  the  same 
wterpourse.  Let  us  first  indicate  the  nature  of  the  works  re- 
i|Diring  execution,  when  the  former  principle  alone  is  adopted  :  the 
ptrCecting  of  the  natural  lines  of  drainage. 
Tte  ultimate  free  delivery  of  the  water  into  the  sea,  or  any  way 
"  fiitirely  free  of  the  river,  is  perhaps  the  most  important  point  of 
ill,  the  low-lying  lands  on  the  lower  ranges  of  the  river  being  there 
>i:i<reeslensive  than  elsewhere;  to  insure  a  free  delivery,  the  main 
"iilut  of  the  river  should  be  carried  out  to  deep  water,  protected  on 
'"til  sides  by  banks  or  jetties,  against  the  shore  currents,  and  8o 
'ii^i^d  as  to  avoid  as  mnch  as  possible  the  retarding  influence  of 
:i  storms;  through  the  delta,  also,  a  single  direct  channel  of 
[■ruperly  determined  dimensions  should  be  made  and  protected  by 
'luliankments;  by  these  means  the  mass  of  water  mil,  in  forcing 
■■  way  in  this  course  to  the  sea,  scour  for  itself  a  deeper  bed  at 
'.'L'  outfall  and  throughout  the  lower  ranges  of  the  river,  and  carry 
1  floods  more  rapidly,  improving  the  river  continually.  A  further 
iuiutage  from  confining  the  river  to  one  channel  ia  that  of  the 
.<<  lomation  of  a  large  amount  of  land  prenonsly  occupied  by 
marshes,  as  well  as  by  the  numerons  old  channels  of  the  delta. 

In  the  middle  ranges  of  the  river  the  works  to  be  adopted  are  all 

sncb  as  will  promote  a  more  rapid  discharge :  the  enlargement  of 

BttM  bod  wherever  it  is  contracted  or  nnrrowedi  the  lemo'na.V  oC 

^  ■ 


()l)stacles,  rocks,  siimll  isljiuds,  silt  deposits,  shoals,  or  anything 
that  impedes  velocity ;  the  straightening  of  the  course  wherever  it 
can  be  done  to  good  eflfect ;  the  prevention  of  the  deposit  of  silt  in 
such  places  as  would  be  objectionable ;  the  deepening  or  dredging 
of  the  bed  in  the  requisite  places :  the  whole  coarse  to  be  put 
under  a  regimen  that  would  remain  constant  generally,  and  besidei 
continue  to  improve  itself  by  scouring  in  contradistinction  to  its 
former  habits  of  silting  up  and  causing  its  flood  leyels  to  rise. 

In  the  uplands,  all  the  works  which  should  be  constructed  an 
those  that  have  for  their  object  the  control  of  the  detritus  washed 
down,  and  the  prevention  of  its  deposit  at  onfftTonrable  spots.  1i 
the  silt  could  by  any  means  be  entirely  prevented  from  being  oanied 
down  into  the  middle  ranges  of  the  river,  or  into  the  plains,  it 
would  be  a  great  achievement;  but  this  being  hardly  posribb^ 
palliative  measures  are  perhaps  all  that  can  be  adopted.  Besides 
this,  the  hills  might  be  covered  with  thick  plantations,  which, 
catching  the  rainfall,  would  delay  its  departure,  prolong  the  dura- 
tion  of  the  flood,  and  thus  lessen  the  amount  of  flood  water  pass- 
ing off  at  any  one  time,  or  mitigate  the  flood. 

The  necessary  works  dependent  on  the  second  of  the  principles 
previously  mentioned,  would  be  so  greatly  dependent  on  local  cir- 
cumstances  that   they  can    only  be   indicated  generally.     The 
separation   and   control  of  the  water  from  the   uplands  can  b^ 
attained  by  making  storage  reservoirs  at  certain   places  at  the 
foot  of  the  hills,  and  running  all  the  water  falling  on  them  into 
these  by  means  of  catchwater  drains  skirting  the  bases  of  th^ 
hills;  from  these  reservoirs  the  water  can  be  allowed  to  escape 
under  control  into   the  main  watercourse ;  or,  if  practicable,  ihe 
upland  waters  may  be  discharged  through  very  large  catchwater 
drains,  independently  of  any  reservoir,  into  some  other  collateral 
watercourse  that  may  be  convenient,  employing  even,  if  necessary, 
a  separate  outlet  for  the  discharge  into  the  sea  of  the  upland  waters. 

In  the  case,  however,  of  the  main  river  or  watercourse  being 
employed  as  the  outlet  for  the  upland  waters,  it  becomes  necessary 
to  separate  the  lowland  waters  from  them  as  long  as  possible.  In 
order  to  do  this,  the  arterial  drainage  lines  of  the  plains  on  each 
side  of  the  main  river  require  rectifying  and  improving;  their 
waters  then  have  to  be  cut  oft  fiom  \\*,  %xid  earned  by  two  canals 


be  main  rirer  as  far  as  some  point  where  it  majr 
:liarge  them  into  it  through  regnkting  alnices, 
into  some  artificial  reservoirs  or  lakes.  These 
1  insure  the  additional  advantages  of  perfeeting 
^e  of  the  country,  and  of  having  a  good  water 
ion. 

of  the  two  principles  thus  described  wonid  insure  ft 

ind  an  effective  control  of  floods  nnder  any  procti- 

aces.     That  such  works  would  necessarily  he  expen- 

■  doubt  whatever,  but  they  would  still  be  less  costly 

ctive   than   the   continuous   lines  of  embankment 

.he   fallacious   principles   before  quoted;  the  works 

mprove  the  rivers  instead  of  deteriorating  with  lapse 

the  gain  by  reclamation  and  irrigation  wonld,  apart 

jllateral  advantages,  yield  a  profitable  return. 


4.— TOWAGE. 

tsperiments  show  that  the  paU  on  the  towrope  of   » 
ithin  practical  limits,  proportional  to  the  square  of  the 
that  it  varies   widely  according  to  the  form  of  the 
iming  then  g  general  formula, 
R  =  fc  T  V* 
the  resistance  in  lbs.. 


:  the  displacement  of  the  barge  in  tons. 


water  in  miles  per  hoar, 
kii  the  form  of  tho  barge. 
I  small  and  LLuff  barges  of  alx 
,  and  for  limits  of  speed 

or  genei 


employed  on  the  Danabe  wire-rope  sjstem,  which  have  a  leng 
about  eight  times  thuir  be&m,  and  are  about  287  toaB'  dispUcemei 


The  limit' of  speed  for  ahipa  will  be  ibont  10  miles  aa  hoar,  u 
beyond  these  limits  the  remstuioe  B  mmld  my  with  the  fbuili 
power  of  T:  but  within  the  »sanmed  limiti,  ealcnlationa  m«jh 
made  oc  the  shore  data. 

The  nomber  of  horses  reqoiied  to  draw  it  tiain  of  barges  m; 
hence  he  readily  dedaced.  The  beat  pwfi>rmanoe  of  a  diangfa 
horse  working  8  hoars  per  day,  is  asanmed  to  be  at  thfe  speed  o 
2|-  miles  per  hoar,  when  he  will  exert  an  average  poll  of  aboa 
120  lbs. ;  sabstitDting  this  'nine  in  the  ahore  formtila,  we  ol)tiii 
for  the  tonnage  that  one  hoiae  will  pnfl  at  the  speed  of  2-5  rmk 
an  hour  in  still  water, 

B'  120 

In  a  current,  the  resistance  or  the  pnll  npon  the  tow-line  m 
increase  as  the  square  of  the  speed  throagh  the  water,  bat  tb 
horse  in  this  instance  moving  over  the  ground  is  going  at 
less  speed  than  that  of  the  boat  through  the  water ;  and  ih 
is  an  important  distinction,  which  must  not  be  overlooked  i 
estimating  the  effect  of  a  current.  The  mode  in  which  tl 
necessary  correction  must  be  effected  will  be  best  illostrated  1 
an  example. 

Beferring  to  the  last  example,  let  us  assume  that  the  barge 
113  tons'  displacement  encounters  an  adverse  current  of  1  m: 
on  hour,  and  it  is  required  to  know  the  reduced  speed  at  whi 
the  horse  will  then  go,  assuming  him  to  be  performing  the  sai 
average  work  per  hour. 

In  the  last  case,  the  said  work  in  mile-poonds  was  120 
2-5  =  300  mile-pounds  per  hour ;  in  the  present  case  the  p 
upon  the  rope  will  be  proportional  to  the  square  of  the  veloci 
through  the  water  (V),  and  the  pull  the  horse  is  capal 
of  pulling  will  be  inversely  proportional  to  the  velocity 
which  he  is  travelling  (v) ;    and  the  difference   between  thi 


''■■•  TeliMtties  will  be  tho   speed  of  the  current   (i',) ;   wo  '. 

V  ^  0  +  Ci  where  y,  ^  J  milo  per  hour 

and  Kv  =  300  mile-poanda  per  hour 
V*(V+- tP,)  =  15-4 
iihcLce  B  =  19-4  V^  and  V*  —  V»  =  IS'i. 
^living  which  we  obtain  V  =  2'86  miles  per  hour,  the  speed  of 
■LJif  boat  through  tho  water ; — and  the  speed  past  land,  or  rate  at 
«liich  the  horse  is  going,  will  be  2'86 — 1  =  1'86  milee  an  hoar. 

It  will  be  observed  from  this  example  that  the  influence  of  the 
ctirront  is  relatively  less  important  when  horses  are  employed, 
than  when  steam-tugs,  either  paddle  or  screw,  are  nsed,  the 
R'uson  being  that  in  the  lattc^r  ease  the  reaction  operates  npoa 
till!  moving  ciureut,  whilst  in  the  first  case  against  the  immov- 
■Me  tow-path.  Thus,  in  the  present  example,  if  the  horse  instead 
"f  being  an  animal  moving  on  the  tow-path  had  been  a  steam 
horee  in  a  tug,  the  speed  through  the  water  would  be  the  same, 
whether  the  water  was  still,  or  ever  so  rapid  a  current.  In  this 
ioBtSDce  2'd  miles  an  hour  tho  speed  past  the  land,  which  is 
the  useful  result,  would  bo  reduced  to  IS  miles  an  hour  in  the 
«i6  of  the  tog,  instead  of  to  1*86  when  horses  are  used. 

The  difference  of  conditions  will  be  more  strongly  marked  if 
»e  assume  the  current  to  bo  2-5  miles  an  hour,  because  then 
it  is  obvious  that  the  steam  tug,  capable  of  moving  through 
slill  wat«r  at  that  rate,  would  simply  maintain  its  position  if 
il  encountered  such  a  current ;  and  although  the  paddle-wheels 
or  screw  would  be  revolving  at  the  same  rate  as  before,  the  only 
resnlt  of  their  effects,  namely,  the  maintenance  of  position  of 
llie  boat  would  bo  equally  attained  if  she  dropped  anchor ;  in 
short,  the  whole  power  exerted  would  be  thrown  away.  In  the 
instance  of  the  barge  towed  by  horses,  on  tho  other  hand,  the 
wLoIe  power  cxortod  would  be  utilized  ;  and  it  may  be  shown 
by  the  same  reasoning  as  in  the  last  example,  that  the  IIS  ton 
barge  would  be  towed  by  one  horse  against  a  current  of  2'6 
miles  an  hour,  nt  the  rate  of  IJ  miles  an  hour. 
Obviously  the  same  reasoning  would  apply,  whether  the  motive 
r  on  the  toT-path  were  horeeB  or  a  locomotiTe,  or  whether  \ 


1!)2 

the  tow-path  were  tliepeiised  wHIi,  and  a  rope  were  laid  down  in 
the  bed  of  the  river,  and  coiled  rouud  a  dmin  in  a  steam-barge 
in  the  manner  now  gonorally  admitted  to  be  the  most  economical 
mode  of  oondocting  hea^^  traffic  at  a  slow  speed  in  rivers  of 
rapid  enrrent  and  on  still-water  canala. 

From  the  *Rbovo  we  may  conclude  that,  in  order  to  tabulate 
for  the  effect  of  a  current  on  tbe  diminution  or  increase  of  speed 
of  a  horse,  we  have  to  calculate  the  increased  or  diminished 
value  of  Y  the  velocity  throagh  the  water,  and  apply  it  in  the 
general  formula — 

inserting  difilarent  valnea  for  the  ooostant  b,  whieh  lie  between  j 
■109  and  -iGQ,  according  to  the  form  of  the  barge.  j 

In  the  above  case  R  =  130  Um.  fbr  a  draught  horse ;  but  for  \ 
other  animals  corresponding  values  of  B,  with  reference  to  their 
beat  continuona  speed,  can  be  applied. 

Assuming  a  case  of  a  current  of  3  miles  an  hour,  and  that 
the  ordinary  limits  for  the  speed  of  the  horse  in  towing  a  load 
with  and  against  ^tream,  are  4  and  1  mile  an  hour  respectively, 
the  Velocity  through  tbe  water  becomes  1  and  4  miles  an  hour, 
and  the  loads  706  and  44  tons,  the  horse  performing  the  same 
average  work,  bnt  executing  the  average  pull  of  76  lbs.  with  stream, 
and  300  against  it. 

Tbe  values  required  are  given  for  the  limits  in  the  following 
form. 

For  barges  having  113  t^ns'  displacement,  and  a  coefBcient 
6  a=  0'17,  the  results  are  as  follows: — 


With  the  cnmnt. 

iDltUl 

witer. 

AguntttheeDHMt. 

.,  =  30          2-5          1-0 

V  =  179        1-88        2-2 

■    f, »  4-79        4-38        32 

0 

2-6 
2-5 

10           2-6          30 
2-86         3-66        3-97 
1-86         1-16          -97 

/ 

V,  =                SCO        3-6 

2-5 

1-6               0     -0-5 

193 
Here   r,  is  the  velocity  of  the  current,   whether  favourable  or  I 

T  is  the  velocity  of  the  barge  through  the  water. 

Tj  IB  the  speed  of  the  horse. 

Vj  is   the   velocity  through   the  water    for    the  case   in  1 

ich  a  steam-barge  is  used,  and  is  given  to  illttstrate  the  com- ' 


5.— ON   VARIOUS   HYDBODYNAinC   FORMTTL^. 


The   resolls  of  the  various  formulie  given  for  determining  dis-j 
oarges,  according  to  various  authors,  vary  very  greatly ;  and  it  i 
cDce  iDtfresting  to  examine  them  in  a  tabulated  form  in  comparison  1 
rith  moBSored  discbarges. 

The  following  data  of  comparison  are  given  by  Mr.  David  Steven- J 
OD,  and  by  Captains  Humphreys  and  Abbot ;  they  apply  to  foar  ' 

El  of  river  discharge,    from  a  small   stream  up  to   the  Mia- 
ppi ;  tbas  including  all  limits  within  which  such  formulee  are 
itqulred. 

1.  For  a  stnail  stream  of  24  cubic  feet  per  second.  Mr.  David 
Stevenson  made  careful  measurements,  and  velocity  observatioue, 
anil  compared  the  measured  results  with  the  results  of  formulse. 


I-  Measured  discharge     ... 
■-.  By  Dubuat's  formula  ... 

!.  liy  Robinson's  formula 

■■.  By  EUet's  formula       

'.  Ry  Beardmore's  tables  

''.  By  Downing's  formula,  coefficient  I'OO 
7.  liv  Leslie's  formula,  coefficient  -68  ... 


32-60 
36-90 
46-40 
38-92 
41-23 
28-04  . 


i.  For  a  river   of   2421    cubic   feet    per  second.     Mr.    David 
StereoBon  and  Dr.  Anderson  made  velocity  observations  on  the 
Taj,  at  Perth,  and  the  comparisons  are  thus : 
1.  Measured  discharge 
By  Dabuat's  fonnti] 


8.  By  Bftbineon's  formnla 

4.  By  ElletH  formEla      

fi.  By  BearJmorc'e  Ubnkr  fotinnU 

6.  By  Dowuiug's  formula,  coofficioni,  !■ 

7.  By  Leslie's  formnla,  coefficient,  ' 

It  is  onfortuuate  tbat  iu   these  two  cases  the  hydrftul 
which  wonld  ensble  hb  to  eztand  the  «Hiii»riKni  to  other  fbn 
•re  not  giTen. 

8.  For  ftluge  river  of  81  861  eabio  fiset  par  seomd ;  the  i 
Om  QaeU  VUnkm,  Baeuared  ^  Ur.  Deitnoi,  wan  u  £dUowb: 

Area  of  RWtioii  IS  S04  vltlth  S81 

IDbehuge         Si  SM  pttbiMfer  89B 

Meut  Telocity      a-01B6  uMBtolini  HepQi  11 
Blo^       .        .    >00OOU8r 

The  following  are  the  results  due  to  these  data  calcnlated  b;  yi 
fi>nniilsB  for  mean  reloeity  of  discharge : 
1.  Meaanred  discharge 


2.  Young's  coefficient     ... 
8.  Eytelwein's  coefficient 
4.  X>ownlt]g'B  coefficient... 
B.  Dnbnat's  formula 
6.  Girard's  formula 
7i  De  Proof's  canal  formula 
8.  Yoong's  formula 
9<  Dnpoit's  formnla 

10.  St.  Yenant's  formnla 

11.  Ellet's  formnla 

12.  MiBBissippi  new  fOimnla 


4.  For  a  very  large  river,  the  MissiBBippi  at  Carrolton 
tteMared  data  at  high  water  in  18(1,  wem, 


Area  of  section    193  968 
Discharge  t  U9  948 

Mean  velout;  5-9238 

Slope  -000  020  61; 


Width    9653 
perimeter  269S 
depth  186 


I  oorrespotidiDg  results,  which  are  kept  in  terms  of  mea 
ntity  to  reduce  6gures,  were, 


Measured        

Yonng's  coefficient    ... 

EyteUvein's  coefficient 

Downing* 9  coefficient 

Dnbaat'B  funntik 

Girard's  fonnuta 

De  Prony'B  canal  formnla 

Yonng's  formnla 

Dupuit'a  foimuia 

St.  Venant's  formiila 

Kllet's  formnla 
.   Mississippi  new  formula 


s-24oel 

8-5898  j 
3-8434  i 
2-7468  ] 
4-8148 
3-7271 
3-2741 
4-8762 
8-490r  ] 
8-0461  ' 


A  t:&refal  examination  of  these  resalts  in  foar  cases  of  rivers 
■niiot  fail  to  be  instmctive  ;   bnt   before  entering  into  comment  _ 
n  the  discrepancies  and  their  peculiarities,  let  us  also  examine  tha  J 
Dg  list  of  total  discrepancies  of  mean  velocity  in  thirty  cases    ' 

,  streams,  and  canals  of  all  sizes  given  by  Captains  Hum- 
I  and  Abbot  in  the  Mississippi  Report,  which  would,  no 
,  be  more  instrnctive  wore  the  cases  classified  as  to  size. 


^The  total  discrepancies  are  : 

^  Measured  mean  velocity  of  discharge  discrepancy 

I  Toang's  coE'ffidont  ... 

LEytelwein's  coefficient 

t  Downing's  coefficient 

t  Dabaat's  formula    ... 

[  Girard's  formnla 

[  De  Pronj's  canal  formnla 

,  Toang's  formula    ... 

.  Ihipnit's  formula  ... 
[  10.  St.  Tenant's  formnla 
11.  Ellet's  formula 

.  Mississippi  new  formnla 


tUuB 
_ 


last  table  of  dcrepancies  it  appears  that  the  MibbIb- 


196 

sippi  new  formula  is  by  far  the  most  correet,  and  after  it  tl 
formulee  of  Dupuit  and  Downing,  while  the  two  worst  are  il 
formulae  of  EUet  and  Dubuat ;  but  then  it  must  be  rememben 
that  the  greater  number  of  these  thirty  cases  are  those  of  large  to 
very  large  rivers. 

In  the  fourth  of  the  previous  cases,  a  very  large  river  Hk 
Mississippi  new  formula  is  by  far  the  most  correct,  and  then  ood 
in  order  of  correctness,  Dupuit,  Girard,  and  Downing,  while  EDJ 
and  Dubuat  are  again  the  worst.  In  the  third  case.  Downing  i 
most  correct,  then  Dupuit,  afterwards  the  Mississippi  new  formuli 
Ellet  and  Dubuat  again  the  worst.  In  the  second  case  EUet  an 
Dubuat  remain  the  worst,  and  the  best  are  Bobinson,  Beardmoi 
and  Downing.  In  the  first  case  Leslie  and  Dubuat  are  best,  ai 
Downing  worst. 

It  will  be  understood  that  the  formula  mentioned  as  Downing 
being  more  familar  to  many  under  that  name,  is  really  that  i 
d*Aubuisson,  but  applied  to  English  measures. 

The  inevitable  conclusion  from  all  these  comparisons  is  that  d( 
one  of  these  formulro  is  correctly  applicable  to  rivers  of  differ^i 
sizes,  nor  holds  its  ovra  equally  as  regards  correctness  throughout 
For  the  few  and  special  cases  in  which  the  discharge  of  an  extremeN 
large  river  is  required,  the  Mississippi  new  formula  would  necai 
sarily  be  used,  in  spite  of  its  form  being  rather  unwieldy  ;  and  k 
the  same  way  Dupuit* s  formula  for  a  large  river.  But  for  ordii 
general  purposes  the  thing  that  the  practical  hydraulic  engini 
requires  is  a  formula  tolerably  well  suited  to  all  cases  and  of 
simple  form,  so  as  to  admit  of  easy  rapid  calculation.  The 
simple  type  of  formula  is  that  of  Downing  or  d'Aubuisson,  whicK 
gives  for  mean  velocity  of  discharge 

V  =  100  (RS)* 
where  R  =  mean  hvdraulic  radius 
and  S  =  mean  hydraulic  slope ; 

a::d  this,  too,  is  the  formula  shown  to  have  been  generally  the  most 
correct  throughout  all  the  comparisons  and  discrepancies,  failinj 
only  in  the  very  smallest  streams,  and  evidently  worse  according  w 
the  stream  or  discharge  is  less;  this  then  is  evidently  the  be^ 
forzDulfi  for  general  purposes,  and  simply  requires  modification  b; 
experimental  coefBcients  to  answct  «\\  o\^\ivw3  it^x^ocoeisit^utB. 


197 

The  fortunljB  of  Young,  Eyt^lwein,  Beardmore,  ytoveiiBon,aiilj 
lUe,  all  belong  to  this  type,  merely  using  other  numerical  coef 
stB  instead  of  100. 
I  Potting  Downing'a  fonaula  into  the  general  form 
V  =  ■■  X  100(RS)i 
where  c  ^  1  according  to  Downing, 
•  Tklne«  of  c,  according  to  the  other  formuhc  of  the  same  type  a 


Yoang,  for  large  streams 
Neville,  rivers,  velocity<l'5  feet 

>l-fifeet      ... 

Eytelwein,  generally  -934 

Beardmore,  open  channels    ...         ...         ...     '942 

Stevenson,  for  rivers  of  30  cubic  feet 
„     2500  cubic  feet 
Il.eslie,  small  streams 

„        large  streams... 
DowDing         I 

Taylor  [for  open  channels 

D'AubuisHou  j 

From  the  comparison  of  the  results  of  the  formula!  containing'" 
)  eoefiicieuts,  we  may  then  tabulate  values  of  c  that  will  be 
lly  correct,  when  suitably  applied  into  the  general  formula. 
I  eomparisons  before  mentioned  show  that  Downiug's  coeffi- 
l"00  gives  too  small  results  iu  cases  when  the  area  exceeds 
)  square  feet,  witb  a  mean  velocity  of  2'5  ft,,  or  a  discharge  of 
)  cubic  feet  per  second,  and  too  large  results  for  cases  of 
r  data;  that  the  Eytelwein  coefficient  '934  iu  the  same  way 
1  small  above  and  too  largo  below  discharges  of  about  2000 
c  feet  per  second  :  and  the  Young  coefBcient  -843  is  iucorrect 
Bverything  above  900  cubic  feet  per  second  ;  also  that  for  petty 
ms  of  25  cubic  feet  per  second,  a  coefBcient  of  about  '600  is 
rably  correct. 

^  is  evident  then  that  with  a  very  large  number  of  eases  of  care- 
iasored  discharge,  this   principle  of  determining  practical 
Dta  in  relation  to  approximate  volume  or  velocity  might  be 
V^  to   further   exactness ;    allowances   for  irregulariti 


Ifttcnl  bends,   and  eo  forth,   being  made  independently  of 
ooefficaent,  ne  would  be  done  in  any  case. 

Some  tabulated  vulucs  of  c,  determined  in  this  way,  enitab 
oanals  in  earth  in  good  order,  are  given  in  Chapter  I.,  page  30 
To  apply  this  same  principle  to  discbarges  through  pipes,  ta 
the  Bame  general  formula, 

V  =  0  X  100  (RS)'. 
Ab  this  fitimula  becomee  more  conveuient  in  practice  in  tent 
■  of  the  pipe  (rf),  it  hecomeH  for  lull  cylindrical  i 


the  diameter 


and  tabw,  when  B  b  ^       ' 

-  V»o  X  60(dS)*. 
And  again  as  the  actaaldiBoba^iitbe^DaDtity  most  often  wai 
this  is 

Q  =  A<"=  «  X  '7S54  d*  X  50(82)1. 
»«  X  89-27  (Sd*)*; 
and  transpoaing  this 


Taking,  then,  an  e 
the  variona  formnba, 


Ample  i 


order  to  compare  the  resulti 


Let  Q  =  18'57  cnbic  feet  per  aecond 
8  =  1  in  1276, 
and  the  resolts  then  are  for  diameter : 

1.  By  Dabnat'B  formula 

2.  By  Neville  coefBdent -228      

3.  By  the  above  formula,  coefficient  0*23 

4.  Young's  modification  of  Eytelwein    ... 
6.  Beardmore,  coefficient  '2S6     

6.  Hawksley  (in  Box's  tables)     

7.  De  Prony  and  Darey 

8.  DeProny's  modification  of  Dnbnat    ... 

9.  Gemey 


4E 


Besides  these,  there  are  Tery  many  anthers  that  would  \ 
results  for  diameter  very  much  below  that  of  Young ;  it  ai^wars  i 
that  none  of  these  formnlse  apply  equally  well  to  both  hi^  and 
relooitieB  of  discharge,  Blthongh  it  la  nofortanate  that  a  BofiSoiei 


199 

namber  of  data  arc  not  forthcoming  to  dctermiue  correotly^ 
-luits  at  wbicb  it  would  be  advisable  to  change  the  coefficient, 
_o  aboye  comparisons  while  showing  the  merits  of  tlie  TarioQS 
aix  in  certain  cases,  also  point  to  the  very  evident  conclusion, 
a  rariable  coefficient  of  discharge  is  necessary  both  for  rivers, 
cl:.muels,  and  pipes;  and  that  it  must  be  suitable  both  to  the 
liaa^uKions  and  the  conditions  of  each  particular  case.  The  best 
pode  now  known  of  doing  this  is  that  of  Mr.  Kutter  of  Bern,  which 
y  applied  to  Englieb  measures  in  Chapter  I.  of  this  Manual :  the 
Ines  of  coefficiente  being  also  given  in  the  Working  Tables. 


6.— IRRIGATION   FliOlI   WKLLS   IN   INDIA. 

There  ia  unfortunately  a  large  number  of  Indian  ofliciats  that 
idieve  tliat  irrigation  from  wells  in  Itxdia  is  more  pto&tahle  than 
■ligation  from  canals  conveying  the  water  of  rivers  and  delivering 
t  on  the  surface  of  the  land  by  the  aid  of  gravity  alone ;  they 
foar^y  are  men  not  likely  to  be  persuaded  to  the  contrary  by 
tpneers,  however  good  their  reasoning  might  be ;  and,  unfor' 
itely,  engineers  are  not  always  provided  with  facts  and  figures. 
these  latter,  therefore,  the  following  data  may  be  of  service ; 
Iwy  were  drawn  up  as  applicable  to  the  years  1855  and  1870; 
9m  former  by  Captain  Baird  Smith,  the  latter  by  the  author. 

Campariaon  .of  Irrigatioti  hi/   Wdls  with   that  by  Canals  for  a\ 
Diatrid  of  1  500  000  acres  in  Northern  India  in  1865. 


i 


By  wellB — Capital : — 

Wells  costing  i'20  each,  for  10  acreH 

..     £3  000  000 

Machinery,  etc.  (and  bullocks  ?)   ... 

...        1  000  000 

£4  000  000 

Annual  expenses: — 

300  000  men  at  £S  a  year 

iJJIOOOOO 

1  200  000  bullocks  at  .£1^  a  year 

..        1440  000 

10  per  cent,  interest  on  capital    ... 

400  000 

£2  740  000 

200 

B;  oanalB : — 

(aHBumiiig  the  data  of  the  EaBteru  Jnmna  Canal). 

Capital:-- 

1 600 OOO  acres  at  5b. an  acre       £376£»O0 

Annaal  expenses : — 

Water  rent  at  2».  an  acre              £160  000 

WateroDurse  repairs  at  7rf.  an  acre           ...  43  750 

Labour  at  ^2  83.  per  annum        72000 

10  percent,  interest  on  capital 37^00 

£203350 

Cotnpar'ison  in  favour  of  Canah. 

Capital  1  to  9 ;  annaal  expenses  1  to  13. 

Saving  effected  annually  2^  millions.  I 


Compariton  of  Irrigation  by  Weilt  with  that  by  Canalt  u 
Northern  India,  for  1870. 

Data. — The  Eastern  Jamng  Canale  in  1864-65  had  coat  IG 
pei  acre  irrigated ;  the  Western  Jnmna,  np  to  1868-64,  hitd  to 
12«. :  hence  asaoming  208.  for  a  leas  favoorable  canal. 


By  oanal : — 

Capital  expended  on  a  developed  canal  should 

notexceed 
Betnm  levied  by  water-rate,  dnes,  acd  increase 

of  land  aBsessment 
Working  expenses 
Net  profit  60  pet  cent. 

By  wells : — 

Capital  expended  on  a  well  10  feet  deep  with 
machinery,  &c.,  to  irrigate  10  acres  at  a 
cost  of  £30,  gives  a  cost  per  acre 

Working  expenses,  inclnding  interest  on  prime 
ooat       ...         ...  


0  15 
0  6 
0  10 


Compur 


in  favour  of  CanaU. 


I  GipiUl  1  to  3  ;  anaual  expeusea  1  to  4. 

Kj&Ttiig  effected    aiiuually    ou    a    district    of    1  500  000    acrea,  i 

le  profit  of  50  per  cent,  net,  allowed  in  the  last  comparison, 
■dratdy  been  exceeded  on  the  Eastern  Jumna  Canals;  nor  is 
I  nearly  so  high  a  profit  as  might  have  been  effected  had  the 
t  been  carried  out  steadily,  continnouelj,  and  by  experienced 
^eera,  under  arrangements  that  would  have  caused  or  forced 
^landholders  at  once  to  utilize  all  the  water,  or  sell  their  lands 
B  that  would  do  so. 
Iher  important  data  in  connection  with  irrigation  canals  are, 
I  sanng  effected  by  doing  away  with  remission  of  land  assess- 
t  in  famine  years,  and  the  value  of  the  produce  and  cattle 
a  years  of  drought ;  the  indirect  advantages  to  the  country 
[  the  Government,  resulting  from  increase  of  produce  and  of 
Jstion,  are  innumerable.      Well  irrigation,  on  the  contrary, 

I  at  the   time  when  it  is  most   wanted,  the   ordinary  wells, 

'  lieiTic  shallow,  drying  up  in  years  of  drought, 

lu  the  Hydraulic  Statistics  are  »ome  data  having  reference  to 
gittion  from  wells  in  different  parts  of  India.  ^ 


7 —THE   WATERING  OF  LAND, 

llie  following  ia  the  usual  mode  of  classifying  crops  with 
^ord  to  their  special  treatment  under  irrigation.  1.  Grass 
meadows,  or  natural  meadows  of  gramineie.  2,  Dry  grain  crops 
or  cereals.  3,  Leguminous  crops.  4.  Root  crops.  5.  Those 
»}iecially  requiring  more  water :  rice,  indigo,  tobacco,  sugar, 
bamboo,   water-nuts.      6.  Garden  or  fruit  crops.     7.  New  plan- 

fus,  and  trees. 
iculiorities  of  climate,   soil,  and   water  will  generally   affect 
amount  of  water  required  for  irrigation  probably  more  than 
the  species  of  crop.     In  England  meadows  of  grass  land,  or 
Italian  rye-grass,  are  those  that  generally  profit  most  from  irri-  k 
ition.     The  usual  plan  is  to  keep  the  land  flooded  to  a  depth  ^| 


2U^ 

two  inoheB  during  the  moaUis  of  October,  November,  December 
aod  January,  for  twenty  days  at  a  time,  and  then  to  l^t  the 
water  drain  off  from  it  for  five  days,  before  patting  it  again  nnder 
water.  In  frosty  weather,  bowever,  the  field  should  always  remaiu 
flooded.  In  February  and  March  the  fields  are  flooded  for  eigbl 
days  at  a  time  at  night  only ;  at  the  end  of  March  the  land  is  left 
dry ;  and  in  Uity  the  grass-crop  is  cat.  Irrigating  fields  in  England 
in  the  hot  weather  is  liable  to  produce  rot  in  abeep,  bat  does  sot 
harm  eatUe. 

There  are  two  metbods  of  laying  out  the  courses  or  cbaunelB 
jn  EngUah  fields : 

1.  The  bedwork  syBtem,  applicable  to  flat  land. 

2.  The  oatehwater  system,  applicable  to  steeper  country. 

According  to  tho  former,  the  land  is  made  into  a  series  of  leiy 
flat  ridges,  having  a  general  direction  uoarly  at  right  angl^  to 
the  channel  of  supply,  and  being  never  more  than  70  yards  long 
and  about  40  feet  wide,  the  inclination  of  the  ridge  itself  Imnng 
a  fall  of  about  1  in  500,  and  the  inclinations  of  the  sides  of 
the  flat  ridges  varying  with  the  retentive  power  of  the  soil,  from 
1  in  100  to  1  in  1000 ;  the  crown  of  the  ridges  is  not  neces- 
sarily,  therefore,  in  the  middle  of  the  breadth  of  the  base  of  the 
ridge.  The  feeding  and  drainage  channels  are  generally  from 
20  inches  wide  at  their  junctions  to  12  inches  at  their  ends. 

The  catchwater  system  used  in  Devonshire  and  Somersetsliire 
consists  of  a  series  of  ridges  made  aeroas  the  general  coarse  of 
the  water,  which  hold  the  water  op,  and  retain  it  over  sneceB' 
aive  long  strips,  the  water  passing  slowly  round  the  end  of  oM 
ridge  to  the  lower  land  above  the  next  ridge,  and  bo  on.  Hu* 
is  necessarily  far  cheaper  than  the  other  system — about  ibal^  and 
'^n  be  carried  ont  at  the  cost  of  about  five  pounds  an  acre. 

Throughout  the  world  generally,  there  may  be  said  to  be  oolj 
ioor  methods  of  distributing  water  on  or  throogbont  suriMat, 
of  which  all  others  are  mere  modificationa.  In  all  eases  it  is 
best  that  the  land  should  have  one  general  slope  Hhroa^aot, 
the  irrigation  channel  ronning  along  the  head  of  Hub  iiope,  the 
main  catchment  drain  along  the  bottom. 

Tiie  first  method  is  that  to  which  the  Eln^sb  bedwwk  gydfga 


•203 


^,  tho  field  being  prepared  iu  furrows  and  ridges  alternately  J 
En>m  the  bead  to  tlie  foot  of  the  dope,  either  in  the  direction  of  fl 
tbi;  fall  or  makiug  an  angle  with  it,  according  as  the  quality  of! 
thi>  soil  and  the  general   slope  of  the  land  may  require ;  these 
lit  farrows,  being  from   10  feet  to  50  feet  wide  and  only  a  few 
iachea  in  depth,  receive  the  water  from  the  irrigating  channel, 
vhicli  will  then  cover  the  land  nearly  up  to  the  crests  <if  the  4 
Tidies,  or  in  fact  entirely  if  need  be. 

Tile  second  method  is  very  similar  to  the  first,  but  the  water, 
ia9t*fld  of  flowing  in  the  furrows,  runs  in  Uttle  trenches  cut  along  I 
tbc  crests  of  the  ridges,  overflows  the  sides,  waters  the  slopes,  and  j 
draiQs  off  in  the  furrows  down  to  the  maiu  catchment  drain.  Ths  1 
ridges  used  iu  this  system  are  generally  w^ider  than  those  of  ths  I 
first  system,  and  have  a  greater  lateral  inclination. 

The  third  or  commonest  method  for  applying  water  on  a  small  I 
>n\c  is  to  distribute  the  water  in  little  trenches  around  small  I 
squares  and  rectangles  of  land,  allowing  it  to  permeate  throughout.  I 
&e  anrface  enclosed,  which  must  be  very  nearly  level  with  the  I 
vaUr  in  the  trenches. 

TLc  fourth  method,  most  commonly  adopted  in  Spain,  Portugal,  i 
mi  India,  in  cases  where  much  water  is  required  to  remain  on  the  ' 
l»Dd  for  some  time,  as  for  rice-cropa,  or  many  grain  and  other 
CJopa  in  their  early  stages,  that  could  not  thrive  on  hard  baked 
mil,  consists  in   levelling  the  land  into  a  number  of  nearly  flat 
"qnsrea  and  rectangles,  divided  from  each  other  by  small  ridges  or  ■ 
hrarf  mud  walls,  to  hold  the  water  on  them.   The  number  of  rect-  I 
ingles  depends  on  the  fall  of  the  ground ;  the  water  is  allowed  to  I 
lotr  in  at  some  comer  or  temporary  break,  and  flow  out  in  the  same  I 
'uy  on  to  the  next  rectangle  when  it  has  remained  suthciently  long.  I 
As  to  soil : — For  the  surface,  the  most  permeable  is  best,  being  I 
lOflt  easily  warmed,  and  allowing  the  water  to  arrive  at  the  roots  [ 
'  the  grass  most  quickly ;  a  retontive  surface-soil  causes  evf^)» 
ition,  and  cools  the   land,  which   is   generally   a   disadvantage,  I 
lOugh  not  so  under  some  circnmstances ;— a  subsoil  of  clay,  being  1 
'tentive,  is  an  advantage  iu  very  dry  climates,  as  it  economise 
iter.     In  hot  climates  the  soil  is  of  inferior  importance  to  t 
y  of  the  Bilt  transported  and  depositod. 


all  the  wAttt-  as  distributed,  a  mode  more  likely  to  fci  a^ptedit 
present,  noir  that  modules  are  lees  expensive  and  more  cifi>ctJTe 
tlutn  formerly. 

3.  By  area  of  land  irrigated,  or  by  crop. 
TIuB  baa  the  fullowing  disftdviiDtftgeB;  the  laad  to  bo  irrigated 
iB  BilwftyB  TOrying  in  amount,  and  this  cannot  be  watched  in  detail 
oontiantU;,  nor  can  the  landowners  be  trnsted  to  state  trntiifully 
the  UDOOnt  of  acreage  over  whicli  water  has  been  distrlbntfd, 
'  The  onip  oau  also  be  varied,  so  as  to  nse  more  or  lesa  water,  wi 
the  payment  by  crop  also  would  be  nseless  against  cheating.  A^iun, 
in  a  good  raany  aeason  the  cultivator  might  try  under  these  cir- 
oumatanceB  to  do  without  the  canal  water,  thus  causing  the  v^iies- 
rate  to  be  precurious. 

8.  Water  distrilmtion  by  rotation. 

Ao  irrigating  channel  of  fixed  dimension,  giving  a  constant  fixed 
discharge,  passes  through  the  lands  of  several  proprietors ;  a  period 
of  rotation  la  fixed  for  this  channel,  from  6  to  16  days  occordiugts 
the  crops,  the  former  for  rice  and  the  Utter  for  meadow  land,  u, 
for  instance,  in  Italy.  Each  landowner  can  then  bare  tbe  whde 
volume  of  the  channel  tnmed  on  to  his  land  once  in  the  total 
period  of  rotation  for  a  certain  number  of  hours,  as  from  two  to 
forty  or  fifty  according  to  the  amount  of  land  he  owns. 

For  example.  Let  ten  days  be  the  period  of  rotation,  and  let 
him  reqnire  twelve  hoars'  Bupply  once  in  that  period.  His  name  iB 
placed  on  the  hat,  say  sixth,  and  he  gets  his  supply  tnmed  on  tt 
a  fixed  honr  and  turned  off  at  a  fixed  hour  also.  If  the  channel 
gives  twenty  cnbic  feet  per  second,  his  amount  of  water  is  equiva' 

lent  to  a  cootinuoas  discha?^  of =  1  cnbio  per  second 

240 
In  this  way  intermittent  supplies  admit  of  mntnal  comparison. 

Last  with  regard  to  the  cultivators  themselves : — Whether  oi 
the  Continent,  or  in  England,  the  fiirmer  is  generally  a  grumble: 
under  any  state  of  afi'airs.  In  India  the  cultivator  invariably  com- 
plains, although  his  assessment  is  veiy  small  by  comparison  vritt 
the  local  circumstances ;  if  he  grow  two  very  moderately  good  cropi 
in  the  year,  it  wonld  only  amount  to  about  two  and  a  half  per  cent 
per  annum  on  the  value  of  the  produce,  and  he  can  therefore  well 
afford  to  pay  large  watei-r&tea,  especially  since  both  the  yield  and 


EDaiober  of  crops  jirodnced  on  irrigated  land  is  doubled,  ftnd 
lughest  water-rote  is  smaU  in  comparison  with  t.lie  expense  of 
ing  wells  and  roieing  the  same  amount  of  water  by  animal 
r  thronghont  the  year;  he  (injoys  also  tho  advantage  of  living 
r  a  goTerumcnt  that  remits  the  land  assessment,  and  dis- 
B  food  i^atis  in  years  of  famine,  while  not  demanding  more 
it  in  years  of  plenty.  If  tho  water-rate  ia  in  some  just 
1  to  the  increase  of  produce  and  saving  of  expense  result- 
1  the  irrigation,  it  matters  not  bow  large  per  acre  the  rate 

■  tppear  to  be.     If  the  irrigation  is  applied  to  suitable  land  in 

■  A  way  that  the  natural  drainage  of  the  country  is  not  inter- 
I  with,  there  can  be  no  detriment  to  the  health  of  the  culti- 

.;  this  can,  however,  be  rarely  carried  to  perfection  in  octoal 
To  this  it  can  be  replied,  that  the  population  will  thrive  on 
vwbole  and  increase  largely,  which  may  be  considered  as  a 
r  on  that  uc^onnt,  and  that  landowners  who  prefer  going 
^  can  always  do  so  and  part  with  their  land  at  a  premium; 
1  always  commanding  a  ready  sale.  A  compulsory  water-rate 
md  that  is  under  water  command  cannot  be  considered  a  hard- 

■  ly  any  one  that  considers  the  subject  in  a  fair,   unprejudiced 
iner;  the  privilege  of  being  able  to  obtain  water  shonld  be  paid 

fcr.sad  Binoe  the  same  principle  has  always  been  applied  to  town 
y  of  water,  for  which  every  inhabitant  has  to  pay  whether  be 
it  or  not,  there  ia  no  reason  for  leaving  the  payments  of  water- 

Meiii  th«  cootitry  to  be  optional.  Wbetlier  both  the  landowner 
'  Ud  tiw  occapier  should  pny  separately  for  the  advantages  they 

IhjiIi  reooivo  is  a  point  dependent  on  the  local  tenure  of  land ; 

iinder  ordinary  circumstances   they  donbllcsa  should  do  so,  the 

■iijopier  being  benefited  by  increase  of  produce,  the  landowner  by 

n-TOftse  of  rent ;  but  in  any  case  the  whole  of  the  advani 

'lyuld  be  paid  for. 


itagflJM 

■  orl| 


8.— CANAL  FALLS. 
Tiint  a  full  of  water  at  tho  headworka,  'or  at  any  part 
'"Dul.  should  be  allowed  to  remain  unutilized,  appears,  in  these 
'•■'}'  of  expensivo  fuel  and  costly  motive  power,  to  be  a  very 
r^iiufol  waste  of  a  valuable  advantage.  One's  natural  tendency 
in  to  drviHc  means  and  ways  of  using  everything,  ami  to  \«\^ii6 


that  there  coald  hardly  (mat  circumBtances  under  vltui 
would  be  neoeBsai7  to  arrange  for  the  destruction  of  the 
uid  Telocity  generated  by  a  fall  of  water.  Grinding 
preasing  sngar,  oi-  extracting  oil,  are  requirements 
barbaroas  coantries,  by  which  such  motive  power  coold  be  easilj^ 
ntiliBOd,  even  if  it  were  available  for  only  four  months  in  ^le 
year.  In  spite  of  this,  however,  it  aeems  rather  frequently  to 
occur,  that  in  distant  countries  the  engineer  baa  to  devise  means 
for  destroying  the  (Effect  of  a  fall  of  water ;  this  occurs,  generally, 
either  at  the  heaclworka  of  a  canal,  where  the  water  entering  tiu 
oanal  in  flood  seasons  has  a  great  head  of  pressure,  or  at  certain 
points  in  a  canal  where,  owing  to  the  inclination  of  the  coontt; 
being  steeper  tbctn  that  due  to  a  convenient  velocity  ot  canil. 
current,  it  has  been  fonnd  necessary  to  concentrate  the  super- 
abonduit  foU :  the  Ganges  Canal  and  the  Bari  Doab  Canals  hare 
many  such  examples.  In  either  case,  as  the  fall  is  independent 
of  navigation  of  any  sort,  which  has  to  be  condncted  in  a  speciil 
channel  of  d6tonr,  the  problem  is  one  of  economy.  The  nataral 
means  would  be  to  break  up  the  force  of  the  water  by  both  lateral 
and  -vertical  breaks  and  angular  obstacles,  and  to  oppose  the 
remains  of  the  velocity  by  a  pierced  breakwater,  beyond  which 
the  water  would  issue  with  so  small  &  current  as  not  to  be  able  to 
cause  any  damage  to  the  bed  and  sides  of  the  canal,  or  to  cause  ^ 
any  prejudicial  eA'cct  to  navigation. 

The  breakwater,  iiivolviug  an  enlargement  of  the  width  of  the 
channel,  and,  if  a  rock  fouudntiou  be  not  available,  requiring 
artificial  and  carefully  made  foundations  carried  to  some  depth,  is 
necessarily  expensive,  and  is  hence  generally  dispensed  with, 
except  under  favourable  circumstances. 

The  fall  itself  is  generally  a  modification  of  one  of  the  three 
following  types : — 

1.  A  uniform,  or  a  broken  general  incline. 

2.  A  vertical  fall  with  gratings. 

3.  A  vertical  fall  with  a  water- cushion. 

The  most  primitive  mode  of  managing  such  &Ub  of  water  was 
to  conduct  it  down  an  incline,  made  as  gradual  as  possible,  and 
break  up  the  velocity  by  a  series  of  steps. 

A  long  reach  of  rocky  bed  oSei^  a  uiTi-^ciTi\«at  o^^portomly  fiv 


209 


-nclioD,  which  could  be  hewn  in  the  solid  rock.     la   \ 
)r  oases,  where  it  would  require  building  on  artificial  foanda- 
IB,  the   expense  would  be  verj'  great ;  and,  even  if  the  inciine 
M  so  made  that  the  resulting  velocity  were  not  high,  the  edges  of 
I  trettda  of  the  st«ps,  even  in  good  stonework,  would  soon  wear, 
A  tlie  maJDteDauce  of  the  fall  would  also  become  an  important 
im  of  expense.     Apart  from  these  objections  also,  this  type  is    I 
KBtisfsctury.     Although  the  treads  of  the  steps  maj  be  set  with 
correct   reverse  inclination,  so  as  to  oppose  more  directly  the 
dined  direction  of  motion  of  the  momentum  of  the  water  ;  and, 
though    a  farther  improvement  may  be  made  iu  giving  a  more     < 
uaiderable  reverse  inclination  to  the  treads,  and  by  allowing  t   I 
up  proportion  of  the  water  to  run  olT  laterally  and  wind  down   I 
Iu  Uepe ;  yet  under  all  circumstances  the  inherent  defects  re-    I 
Dun ;  the  steps  cannot  accommodate  themselves  to  the  variation 
uS  the  quantity  of  water  passing  down  the  fall ;  if  the  steps  are 
RnaU,  ihoy  fail  to  receive  effectively  the  over-falling  water  when  the 
kmomit  increases,  and  become  then   comparatively  valueless;   if 
tit-  steps  are  very  large,  the  rise  and  tread  of  each  step  causes  the 
iiy  acquired  from  each  step,  which  it  mnst  be  remembered 
uses  in  the  ratio  of  the  square  of  the  height  of  the  step,  to 
Lfy  much  increased,  and  to  become  veiy  destructive  to  the 
:'...i lie  work. 

i'Le  next  improvement  on  the  inclined  type  of  fall  is  tho  ogival 
till  a^d  on  the  canals  of  Northern  India ;  iu  this  the  general  slope 
qI  descent  from  the  head  to  the  foot  of  the  double  curve  is  from 
out  to  six  to  one  in  nine ;  the  upper  one-third  of  the  slope  being 
til'  chord  of  the  upper  or  convex  curve,  which  is  tangential  to  the 
surface  of  the  water  in  the  upper  reach  ;  and  the  lower  two-thirds 
<'/lhc  slope  being  the  chord  of  the  concave cur\'e,  which  is  tangential 
iu  tlic  convex  curve  above,  and  tangential  to  the  horizontal  line  at  its 
l"Ber  extremity.  The  height  and  length  of  the  fall  applicable  to 
*Dv  special  case  is  determined  by  equating  the  discharge  of  the 
"pen  channel  above  with  the  discharge  over  a  weir.  The  principle 
»bich  this  form  of  construction  asserts  is  that  the  water  at  the  foot 
of  thedescent,  being  deprived  of  all  vertical  action  and  delivered 
WixoDtolly,  will  not  cause  any  damage  to  the  bed  of  the  channel 


aio 


In  outmlR  vheie  it  u  reqnind  tint  the  ^aebMKgt  thould  mud 
perfeetl;  nniform  and  anaflbetad  by  iU  &I1  down  the  veir  or  inclin 
theBO  ogival  fklls  mnst  neoesflBril;  bare  their  aUlfl  nised  above  ti 
lerel  of  the  channel-bed  of  the  nj^er  leuh ;  u  woold  also  a  iaU 
nnifonn  alope. 

Carres  on  more  carefoUy  «limi*i»tajl  prino^oa  have  also  tiei 
tried  with  the  object  of  effiaeting  some  improranent,  hat  the  aim 
tages  resulting  appear  oomparativel;  small.  Then  earres  genanl 
effect  no  docfat  aome  aanng of  masonty  in  etunpaiiaon  with  th&tl 
a  single  onifbrm  slope,  and  probably  deliTer  the  water  with  bl 
destmctiTe  result  than  the  latter;  they  are,  bowerer,  atill  espeoa* 
and  the  action  of  the  water  deliTered  is  imther  ooncentrsted,  u 
hence  destrnctiTe.  Ad  attempt  at  eoonomy  on  soeh  falls  has  Im 
made  by  narrowing  the  &11,  and  thus  jUtniTiiahiiig  the  amonntl 
masonry ;  bat  the  results,  oaoaed  by  the  increase  of  action  i 
well  BB  irregularity  of  effect  of  the  water,  reqnire  grcnter  expend 
tnre  in  repair;  they  present  also  the  additional  dib^advuDU^ 
that  daring  repair  the  whole  fall  instead  of  a  part  has  to  bi 
stopped. 

In  the  above  cases  of  inclined  falls  it  is  supposed  that  it  has  beei 
found  conTeuient  to  concentrate  the  fitll  in  a  oomparntiveljsboi 
length ;  in  other  cases,  where  it  is  spread  over  a  long  reach,  it  i 
usual  to  attempt  to  annihilate  the  velocity  resulting  at  the  foot  o 
the  incline  by  introducing  a  reach  of  canal  having  a  reverse  slope 
and  in  cases  where  a  greater  length  still  can  be  allowed  for  th 
incline,  to  break  it  up  into  portions  of  descent,  each  followed  by  I 
portion  with  a  reverse  slope  and  then  a  abort  horizontal  ten^ 
thus  opposing  the  accelerating  effect  in  detail  without  allowing  ill 
resnlts  to  accamulste.  In  sach  work  the  bed  of  the  channel  must 
necessarily  be  paved ;  if  the  velocity  do  not  exceed  10  feet  or  11 
feet  per  second,  large  rough  convex  boulders,  laid  dry,  form  thi 
most  suitable  paving ;  and  even  up  to  16  feet  per  second  the  bsbW 
method  maybe  adopted  if  very  large' boulders  alone  are  ussd; 
beyond  that  velocity  the  boulder  work  requires  packing  with  shiu^ 
and  pebbles,  and  grouting  with  good  hydraulic  mortar. 

While  the  above  arrangements  may  destroy  a  great  deali)f  A* 
velocity,  there  is  perhaps  almost  always  a  certain  amount  of  it  still 
remaining  at  the  foot  of  ike  inc^na,  ui&.  diusild  the  «>imt>a1  at  tlui 


311 

happen  to  be  in  soft  soil,  further  arrangemeots,  tail-wallE 
vood  spurs,  or  piles,  are  hIso  necesaary. 
Bart  Doab  Canal  tail-walls  offer au  esamplo  illustrating 
.  tho  arrangeoieut  being  genevully  as  follows  :  At  tlie  foot  of 
Li>:liuo  the  bed  of  the  chanuol  is  made  horizontal  for  some 
ice,  and  the  banks  are  theu  splayed  outn-ards  in  a  curved 
lutil  the  top  width  of  the  channel  at  water  level  is  one-half 
ftliaii  before:  this,  ginug  additional  waterway,  reduces  thff 
U^ ;  tbo  channel  is  then  narrowed  to  nearly  its  normal  width 
iDs  of  dry  boulders  on  each  side,  which  project  into  the  stream 
1  inclination  of  1  to  5,  and  slope  longitudinally  with  a  fall  of 
50  from  their  commencement,  where  their  height  is  up  to  faU 
-Icrel,  down  to  the  level  of  the  bed :  these  are,  of  coarse, 
submerged  at  full  supply,  and  prodnce  the  effect  of  con- 
ing Bud  directiug  the  current  to  the  middle  of  the  channdl. 
otijectioDS  raised  to  these  tail-walls  as  employed  on  the  Barr 
<  Canal,  is  that  they  do  not  appear  to  answer  their  purposes 
iently  completely,  and  it  is  supposed  that  by  giviug  the  whole 
igement,  both  tlie  enlargement  and  the  reduction  of  section,  a 
er  length,  it  would  fully  answer  all  purposes;  this,  however, 
i  tidi  greatly  to  the  expense. 
nnieal  falh  with  ijrat'ufjs. — ^This  is,  perhaps,  the  mort 
ic  and  convenient  mode  of  dealing  with  a  canal-fall.  The 
of  the  fall  is  not  raised  above  the  bed  of  the  upper  channel 
the  whole  section  of  passage  is  hence  unimpeded  by  reduo- 
;  thfi  grating,  which  may  be  placed  at  any  slope  from  1  in  8 
JB  10,  presents  a  largo  perforated  surface  to  tlie  action  of 
Wster,  thus  keeping  the  upper  water  up  to  its  proper  level, 
distribating  the  effect  of  the  falling  water  passing  through 
1  &  long  portion  of  the  bed,  diminishes  the  action  to  such  att 
U  as  to  render  it  harmless.  The  gratings  are  supported  oo 
I  bearers,  which  again  rest  on  masonry  piers  or  iron  stanchions, 
ed  ftt  about  10  feet  intervals  along  the  edge  of  the  fall  or 
The  higher  a  fall  of  this  description  is,  the  more  truly  the 
falls  and  tbe  more  manageable  It  is.  These  gratings  require 
occasionally,  and  hence  necessitate  the  attendance  of 
■;  but  aa  freqaently  there  is  a  lockman  to  attend  to  the  neigh 
lock,  for  the  navigation  passage  near  the  fall,  thovp  v 
\V 


tie 

»     i 
'J 

m 


.♦ 


212 

no  additional  expense  inonrred  on  ihia  sMotait,  as  one  mm 
attend  to  both.  This  type  of  &U  admits  of  oomparatiTely 
Tariation  in  design. 

Vertical  JalU  with  water-euMhiom. — This  is  the  fonn  gen 
adopted  by  nature  in  discharging  water  down  a  fidl ;  the  acti 
the  water  scours  for  itself  a  basin,  which  fills  and  forms  a  ni 
water-cushion,  the  scour  continuing  until  an  equilibrium  is  ( 
lished  between  the  force  of  the  descending  water  and  the  r 
ance  offered  by  the  depth  of  water  in  the  basin.  The  fall 
has  a  tendency  to  approximate  to  the  vertical,  the  force  of 
and  spray  from  the  fiftlling  water  making  it  slightly  oyerhan 
and  in  some  cases  eyen  causing  a  retrogression  of  £all,  and 
cidently  also  a  retrogression  of  water-cushion,  thus  giving 
elongated  form ;  the  scoured  silt,  or  debris,  is  deposited  in  tb 
of  the  stream  lower  down. 

The  most  natural  mode  of  designing  a  vertical  fall  with  ^ 
cushion  for  a  canal  would  perhaps  depend  on  a  considerati 
what  sort  of  fall  nature  would  make  for  herself  under  the  s] 
circumstances  and  conditions  of  the  case,  and  what  improvei 
or  modifications  of  that  would  be  necessary.  The  objectio 
allowing  nature  to  make  her  own  fall  and  water- cushio] 
these : — first,  it  requires  time,  and  this,  in  some,  though  i 
all  cases,  is  an  objection  in  itself ;  second,  any  want  of  I 
geneity  of  the  soil  or  rock  would  result  in  an  irregular  foi 
basin,  which  might  become  almost  unmanageable;  third 
scour  and  silt  deposited  in  the  channel  below  would  be  a  6< 
injury  to  it ;  fourthly,  the  retrogression  of  the  fall  might 
tually  undermine  the  weir  or  dam,  and  cause  its  entire  destrnt 
But  this  latter  objection  might  be  very  easily  counteracted  h} 
tective  measures. 

In  cases,  then,  where  these  four  objections  can  be  ren 
or  are  unimportant  in  result,  there  is  no  reason  why  a  na 
or  a  slightly  modified  natural  fall  should  not  be  adopted.  ^ 
the  soil  is  firm  or  of  homogeneous  rock,  a  great  deal  oi 
objection  disappears,  a  certain  amount  of  excavation  and 
ming  can  then  be  so  made  as  to  aid  in  the  natural  action 
lateral  encroachment  may  be  easily  provided  against ;  a  tole 
regul&r  basin  can  then  be  economvcsW^  iii%A&. 


213 


As   to  ihe  form  of  baeiu  best  Enited  for  a  water-cnshi 

mudth  in  plan  should  be  rather  n-ider  than  the  extreme  breadth 

it  the   railing  wuter,  as  the  wind  may  bear  the  latter  considerably 

Is  one   side  ;  the  leogth,  again,  will  probably  vary  from  1|  to  5 

fenes  the  breadth,  although  it  would  hardly  be  advieable  to  make 

11  quite  rectangular  in  form,  ae  the  comers  would  be  filled  with 

li>s  water;  the  pear  shape,  therefore,  is  perhaps  the  best,  and 

■Tiainly  that  most  generally  met  with  under  natural  conditions 

iLjmogeneity  of  soil.     There  would  probably  be  no  advantage, 

ij   if  if  were  economic,  to  make  the  basin  very  long ;  the  full 

.  si.reme  depth  may  be  terminated  by  a  reverse  slope  at  once, 

,'   Jefleeted  velocity  thus  obtained  producing  a  greater  degree  of 

iLjess  than  the  passive  effect  of  a  longer  continued  full  depth. 

Tiie  main  point,  however,  is  to  determine  what  depth  of  wate?, 

r,'^ceasary  in  a  water-cushion.     The  velocity  of  delivery  is 

ii'Ir  dejwndent  on  the  depth  on  the  weir  sill  or  fall  above, 

height  of  fall  down  to  the  surface  water  in  the  basin :  the 

jiiance  is  the  depth  of  water  in  the  baain,  and  the  quality  of 

ji*  uiaterial  of  which  its  bottom  is  composed.     If,  then,  the  depth 

k'  calcnlated  by  equating  the  forces  for  a  depth  producing  equili- 

I'nam  just  clear  of  the  bottom,  we  obtain  an  expression,  involving 

liWi  an  assamption  that   tlie   bottom  is  perfectly  indestructible, 

rcms,  therefore,  impossible  at  present  to  determine  abaolul 

'  actual  depth  necessary ;  and  hence  the  practice  is  to 

^approximate  calculated  depth,   and  see  bow  this  answers 

'puse,   altering  or  adding   afterwards   until  it  appears   to 

1  factory. 

I  lie  formula  generally  used  for  this  purpose  on  tbo  canalt 
rbera  India  is — 

Pd  =  1-.5  J~T,  X  i/  A, 
d  =  the  depth  of  water  in  the  baain  ; 
ft,  =  the  total  height  of  fall,  inchiding  Aj  ; 
J,  =  the  depth  or  head  on  the  weir  aill. 

This  is  probably  very  limited  in  its  range  of  application ;  for,  i 
^iplying  it  to  tlie  well-known  case  of  the  projected  Maaur  reservoj 
dun,  designed  by  the  engineerw  of  the  iladras  Irrigation  Com- 
paoy,  it  yields  results  very  small  in  comparison  to  that  allowed  by 
E  A,  =  43-5  and  A,  =  6  feet,  the_ 


214 

calculated  value  of  d,  suitable  to  a  brick  bottom,  is  alxrai  18  fte^ 
while  the  engineers  have  allowed  for  a  bard  rock  bottom  a  depllj 
of  water-cushion  of  S3  feet  in  this  instance. 

In  a  second  instance  of  the  same  case,  the  fonnnla  gives  tm 
values  of  \  «=  16*81,  h^  «=  8*66,  d  =  12*54,  which  is  veiy  mnJ 
less  than  that  allowed,  16*19  feet,  also  in  hard  rook.  1 

Major  MuUins,  the  Consulting  Engineer  to  the  Madras  InJM 
tion  Company,  when  commenting  on  these  cases  in  the  Prooeafl 
ings  of  the  P.  W.  D.,  for  April,  1868,  refers  also  to  a  weU-knoil 
natural  fall  as  an  illustration  of  the  insufficiency  of  the  aboM 
formula.  The  Bajah  Fall  at  Oairsappa,  with  values  of  A,  =  8*21 
and  h^  =  15  feet,  would,  according  to  that  formula,  require  a  depti 
of  water-cushion  of  only  108  feet  for  brickwork,  or  72  for  Bfanfel 
a  depth  nearly  a  half  less  than  the  actual  depth,  180  feet.  1 

In  a  smaller  natural  case,  in  hiUs  in  Berar,  coming  under  tki 
observation  of  the  author,  for  values  h^  =s  26  and  h^  a=  1,  thi[ 
depth,  according  to  the  above  formulae,  would  be  for  a  brickw(»lc 
bottom  7'65  feet,  and  for  stone  5*6  feet ;  whereas,  in  the  soundest 
of  basalt,  the  actual  depth  was  as  much  as  8  feet,  or  more  than 
a  quarter  more  than  that  calculated. 

It  would;  therefore,  appear  that  the  above  formula,  apart  from  ; 
its  varied  coefficients  for  brickwork  and  stone,  is  generally  def6^  ^ 
tive,  and  that,  until  a  very  much  wider  range  of  experiments  and 
observations  is  made,  it  would  be  more  advisable  to  approximate 
to  such  depths  as  are  obtained  under  natural  conditions,  than  to 
follow  any  formula  for  determining  the  depth  of  a  basin  serving 
as  a  water-cushion. 

In  practice  it  would  rarely  be  necessary  to  construct  a  water- 
cushion  of  very  great  deptli,  the  fall,  if  over  a  weir,  being  gene- 
rally easily  broken  into  three  or  four  portions,  and  it  being  adyan- 
tageous  to  do  so,  as  the  catch  channels  are  convenient  for  affording 
a  supply  at  various  levels;  probably,  therefore,  the  above-men- 
tioned case  of  43*5  feet  of  artificial  fall  may  be  considered  as 
the  extreme  for  which  a  water-cushion  would  be  required.  In 
the  future,  too,  the  waste  of  such  a  large  amount  of  useful  motive 
power  will  be  deemed  a  barbarism,  an  additional  reason  that  there 
is  not  much  probability  of  the  above  case  being  exceeded. 


-THE    USUAL  THICKNESS   OP  WATER-PIPES. 

I  tliickDesR  of  a  water-pipe  is  a  matter  depending  on  prao- 

ioaaiderBtions,   beiog   comparatively  little    affected  by   the 

delermiDation  of  what  it  ahould  be  in  order  to  resist 

Kssore  brought  on  it ;  and  is,  like  a  very  large  number  of 

B-CttUed  calcnlations  of  the  engineer,  made  almost  entirely 

I  prescribed   custom.     The  following  notes  on    the 

fUm  in  vogne  are,  hence,  not  given  so  much  with  the  object 

cidating  the  principles  as  that  the  formula  tbemBehea,  Talua- 

B  tfaey  seem,  shonld  be  available  for  reference. 

e  largest  scale  on  which  a  water-pipe  to  resist  extreme  internal 

6  is  made  is  that  of  tbe  cylinders  of  hydraulic  presses :  in 

hthc  extreme  working  pressure  is  limited  to  4  tons  per  square 

t  the  extreme   permanent  strain  allowed  in   actaal  working 

t  only  oue  half  of  that ;  and  tbe  thickness  of  tlie  cylinder  or 

■  tg  determined  by  the  formula  of  Barlow — 


0  -P  ' 

•  t  and  r  are  tbe  thickness  and  internal  radius  of  tbe  cylinder 


C  is  the  cohesive  strength  of  the  material,  and 
P  is  the  internal  pressure,  both  being  in  tons : 
meml  principle  asserted  in  this  mode  of  calcalatioD  being 
i  strain  on  the  material  is  greatest  at  the  internal  surface, 
;  beyond,  the  extension  varying  with  the  square  of  the 
)  from  the  centre. 
An  examjile  of  the  application  of  this  formula,  to  a  10-incb 
ttst-iron  water-pipe,  ia  given  in  Box's  "Hydraulics,"  tbe  resulta  of 
»hich  are  as  follows : — 

AsBumiug  the  cohesive  strength  of  cast  iron  to  he  7  tons  j 
Jijuttre  inch  breaking  weight ;  the  extension  E,  on  the  inside  i 
W  the  moment  of  rupture,  for  a  length  =  1, 

E  =  -000 165  W  +  -000  010  3  W  x  L  =  -001  G59  7  ; 
ni  the  extension  at  any  distance  from  the  centre  ia  in  tbe  ratio 
uf  tbe  square  of  that  disUuce  to  that  of  the  inside  ring. 


216 


The  strain,  at  any  distance  from  tbe  centra,  is  then 
from  the  extension  by  the  formula — 

E 


W 


^{ 


+  6416)-^  8-01 


•OOOOlOSxL 

and  the  mean  strain  on  each  theoretical  oonoenfafic  ring  of 
is  the  average  between  that  at  its  extenial  and  its  internal 
ference ;  the  bursting  pressure  has  then  the  same  ratio  to 
mean  strain  as  the  thickness  of  the  pipe  has  to  its  radius ; 
tabulating  these  for  a  10-inch  cast-iron  pipe,  they  are : — 


niiekncM  of 
MataJL 

BtwB  an  tha  MMd. 

FnMHnL 

Mu. 

Mia. 

Mmm. 

1" 

7.0 

£•26 

6-130 

1-226 

2 

7-0 

409 

5-402 

2161 

8 

7-0 

3-26 

4-827 

2896 

4 

7-0 

2-65 

4-358 

3*485 

5 

7-0 

2-20 

3972 

3-978 

6 

7-0 

1-85 

3-647 

4-337 

7 

7-0 

1-60 

3-373 

4-722 

8 

70 

1-37 

3137 

6019 

9 

70 

1-19 

2-931 

5-275 

10 

7-0 

106 

2-749 

5-499 

- 

The  practical  empirical  rule,  however,  that  is  given  by  Box  for 
the  thicknesses  of  water-pipes  is — 


=  (<'j^-.o-«)  +  (^), 


where  H  is  the  head  of  pressure,  and  d  is  the  diameter  of  the  pipe, 
and  it  is  according  to  this,  that  his  table  given  in  the  Appendix  of 
Miscellaneous  Tables  is  calculated. 

The  theoretical  mode  of  arriving  at  the  thickness  of  a  water- 
pipe  is,  therefore,  about  the  most  unsatisfactory  of  processes; 
and  it  would  probably  be  useless  to  enlarge  on  the  topic.    In 
actual  practice,  the  dimensions  of  cast-iron  water-pipes  are  about 
those  given  in  Box's  table ;  or  have  a  thickness  of  one-fifth  the 
square  root  of  the  diameter,  and  a  little  more  to  allow  for  defects 
in  casting,  and  inexactitude  of  bore.     The  dimensions  of  the 
details  of  the  sockets  are  also  given  in  the  second  part  of  Box*s 
table,  and  are  very  convenient  for  reference. 


217 

Flnnged  pipes  being  now  so  rurelj  used,  excepting  for  tempera 
pur|>oses,  the  details  of  their  usual  dimensions  and  weights,  give 
by  Box,  BIO  omitted  in  the  table  given. 

While  in  the  case  of  cast-iron  pipes  of  all  sorts,  there  has 

aHavB  been  a  tendency  to  theorise,  and  to  base  a  thickness  on  the 

lairs  of  pressure,  and  extension  of  material ;   in  stoneware  pipes, 

':'if  has  been   almost  entirely  disregarded,   and   a   thickness  is 

.   L;c-rally  given  them  that  is  established  entirely  on  practice  or 

-.Hial  custom,  and  often   varies  according  to  the  caprice  of  the 

potter  or  manufacturer.      This   is   generally    accounted   for    by 

ssying  that  earthenware  or  stoneware  is  a  very  variable  material 

■-  fiords   strength,    while    cast  iron  is  honiogeneoua,    and   is 

I  rv  much  alike  in  Bubatance:  a  little  reflection,    however,  will 

-'mw  that   this  is  hardly   a  sufficient  reason.      Onrefuily   made 

'trtneware,  after  a  very  careful  selection,   may  be,  and  often  is, 

■  ii'eedingly  equable,  while  the  variety  of  qualities  of  cast  iron, 

-more  especially  since  its  high  price  has  brought  such  a  large 

iinonnt  of  very  inferior  material  into  use, — is  now  very  marked ; 

ime  cast  iron  being  known  occasionally  to  fall  to  pieces  from  its 

Ioirn  weight.  In  spite  of  this,  the  manufacturers  of  stoneware 
pipes  still  consider  them  aa  unsnited  to  the  discharge  of  water 
under  pressure,  or  for  drainage  in  cases  where  the  outlet  is 
liable  to  be  stopped  :  and  although  they  can  make  pipes  that  will 
ewily  bear  a  head  of  40  feet,  yet  do  not  recommend  them, 
"llepng  that  the  joints  cannot  be  made  to  atand  any  pressure 
'  !ill.  There  is,  however,  no  reason  to  doubt  that  under  skilled 
'<i{>erintendence  and  management,  stoneware  and  fire-clay  pipes, 
as  well  as  their  joints,  may  be  well  enough  made  to  serve  most 
efficiently  for  the  distribution  and  drainage  of  water  under  low 
heads,  and  that  a  considerable  saving  of  expense  may  ha  effected 
by  dispensing  with  iron  in  such  cases. 


■  10.— INDIAN    HTDEAULIC    CONTRIVANCES. 

In  India  a  large  variety  of  mechanical  contrivances  of  a  ver 
simple  nature  are  commonly  ased  for  raising  water  from  rivers  o 
wallBor  oat  of  foaod»tiotiB  of  bridges,  that  are  generally  unknoi^ 


218 

to  the  Enj^iflh  engineer.    His  natani  tandenqr  irooU  be  to  ui 
the  appliftnces  best  known  to  hiniy  sndh  as  a  windlass  and  bodsil^ 
a  common  pump,  a  lift  and  force-pump,  or  a  winding-i^  duii 
carrying  iron  vesselB ;  of  these  the  last  only  is  my  well  known  in  ; 
India  in  a  more  simple  form,  as  a  chain  of  pots  or  leather  bt^k 
Pnnips  are  purely  European  in  origin,  even  a  windlass  is  a  cob-  : 
paratiye  rarity;  and  since  such  things  are  not  always  milaUei 
often  becomes  necessary  for  him  to  adopt  the  natiTO  mesns  of 
raising  water  and  to  learn  what  duty  may  be  expected  from  Uudl 
To  aid  him,  or  rather  to  save  him  needless  trouble  in  measuriig 
and  calculating  the  duty,  the  table  given  in  the  Appendix  to  ib 
Working  Tables,  based  upon  data  originally  furnished  by  K.  Li- , 
mairesse,  of  Pondicherry,  for  Southern  India,  and  in  the  BoodM  . 
professional  papers  for  Northern  India,  and  in  conjunction  wiik 
others  by  the  author,  but  modified  and  put  in  a  form  intdSgiUi 
to  the  English  civil  engineer,  may  be  found  useful.    It  mwij 
becomes  necessary  to  give  the  meaning  of  a  few  of  the  Indiss 
names  of  the  contrivances,  and  state  the  mode  in   which  thej 
are  used. 

Baling  is  one  of  the  most  primitive  methods  of  raising  water, 
but  the  English  mode  of  filling  and  emptying  a  vessel  or  a  bucket 
is  not  in  vogue  among  the  natives  of  India.    A  large  flat  dish  of 
wood  bark  rendered  water-tight,  or  leather  stifiened  by  a  frame, 
has  two  long  cords  attached  to  it  at  opposite  sides,  the  other  two 
ends  of  the  cords  being  held  by  two  men,  who  generally  prefer 
sitting  down  to  their  work,  and  together  allow  the  dish  to  dip  in 
the  water,  nearly  fill  itself,  and  then  raise  it,  send  it  forward  with  a 
swing  and  let  it  empty  itself  above ;  this  can  be  done  with  a  rapid 
and  continuous   swinging  motion  that  is  sometimes  quite  sur- 
prising.    This  method  is  of  coarse  only  applicable  under  certain 
conditions,  such  as  clearyig  foundations  of  water,  and  such  cases 
as  allow  of  su£Scient  room  for  the  swinging;  the  lift  is  seldom 
more  than  5  ft.  though  sometimes  7  ft. ;  but  a  series  of  such  liils 
can  be  easily  adopted. 

The  beam  and  bucket,  or  balance-pole,  in  its  various  modifi- 
cations, is  also  a  favourite  contrivance  for  raising  water  firom  welh 
by  hand  labour ;  the  lever,  at  one  end  of  which  is  hung  the  watei 
ressel,  generaUy  a  large  ewrtlieTiwwMi  ijot,  is  counter-weighted  a 


219 


Ilher  end  bo  as  just  to  allow  the  force  of  one  man  to  raiae  the 
I  when  foil.     The  lever  is  often  a  beam  natoraily  very  thick 
t  end,  and  requiring  only  to  be  carefully  hnng  or  supported  at 
;'.'.  most  convenient  point  for  a  fulcrum.     In  Southern  India  this 
■  I  iple  reauhcH  its  fullest  development  in  the  picotah  ;  where   a 
:■  large  long  tree,  or  a  very  large  pair   of  trees  bound  together, 
beconufi  the   balance-polo,  to  work  which  a  man  walks  and  funs!| 
Uckwards    and    forwards  along  the    heavier    arm  of  the   lever, 
Lhjiiiig  off,  when  necessary,  on  to  a  raised  stago  ;  for  this  wo  A 
,  ial  men,  thoroughly  accustomed  to  it,  are  absolutely  necessary; 
managing  the  vessel,  the  other  the  balancing.     The  size 
'  picotahs  is  sometimes  extremely  large,  and  the  lift  con 
:  tly  very  high. 

'\'hr  dal  or  jantu  is  a  contrivance  for  raising  water  from  3  ft.  tOi 

:  liigb  by  means  of  a  wooden  gutter  moving  on  a  pivot,  beingf 

'  rf,  or  a  double  lever  of  the  second  order.     There  are  several 

Urns  of  this  contrivance  ;  in  the  simplest,  one  end  of  the  single 

pill*r  is  raised  by  a  man  with  a  coril  or  lever  and  cord,  until  the 

Mtsr  mns  out  of  the  other  end  of  the  gutter  into  a  trench;  in  the 

Jniible  gutter  there  is  a  wooden  partition  in  the  gutter  immediately 

(hove  the  pivot,    and  the  water  runs  out  through  holes  on  each. 

mip'  iif  it  in  the  bottom  of  the  gutter  into  the  trench ;  sometimeH 

■■■  are  worked  by  cords,  and  sometimes  by  means  of  the  weight 

'  luan  and  a  counterpoise  at  the  end  of  a  long  lever  attached. 

i  f:o  mot   is   an   arrangement   worked   by  oxen ;    it   generally 

■ists  in  a  water  vessel  made  of  a  complete  ox-hide  bound  on 

■' I  "ooden  ring.for  an  opening,  raised  and  lowered  by  a  cord 

njEfliiin  o^^'"  B  pulley,  and  fixed  immediately  above  or  projecting  over 

Ihp  well ;   the  bullocks  going  down  an  inclined  plane  made  for  the 

Purpose,  when  dragging  up  the  water  vessel  or  mot,  which  has  to 

lie  (bagged  to  one  side  on  arrival  above  the  mouth  of  the  well  and 

emptied  by  a  man.     lu  Southern  India   there  is  nn  improvement 

CD  this  which  dispenses  with  the  man  for  emptying ;  the  lower  end 

of  the  mot  tapers  out  to  a  considerable  length,  and  has  a  smaller 

cord  attached  to  it,  which  by  means  of  a  suitably  adjusted  catch 

causes  the  mot  to  emp'y  itself  on  arrii-ing  at  the  proper  height. 

The   contrivance  generally  called  by   Anglo-Indians  a  Persian 

lore  properly  a  chain  of  pots,  is  almost  identical  vdtb 


I 
I 

r 

1 


220 

that  ased  in  Egypt,  Nobis,  Syria,  AbjuranlR,  known  there  •■ 
wkia ;  its  adraatage  is  that  it  will  raise  water  firom  an;  iaf/H,\ 
means  of  Haffitnent  animal  power.  In  India  it  ia  generally 
mndi  of  the  followiug  description.  Two  panllel  endless  ropei^i 
onited  to  each  other  by  ruaga  of  wood  or  of  rope,  pass  over  a  Te^ 
tioal  wheel  and  hang  down  to  below  the  water  sor&ce  in  the  well; 
earthen  or  leathern  resaels  are  attached  to  the  mngs,  which  Ht 
diargfl  themselves  into  a  trongh  throagb  the  vertical  wheel,  whiA 
IB  a  donble  frame-work.  Motion  is  communicated  to  the  ailett 
this  Tertioal  wheel  from  a  vertical  shaft  of  wood  that  is  tamed  bj 
a  pair  of  bollocks,  by  means  of  two  wooden  wheels  working  into 
each  other.  The  npper  end  of  the  vertical  shaft  is  kept  in  positioi 
by  a  very  heavy  beam  or  tree  which  rests  also  on  two  sopporti, 
generally  mnd  walls,  beyond  the  sweep  of  the  circle  in  which  Hit 
oxen  walk.  The  principle  of  this  rather  rude  bnt  effective  oontd- 
vance  was  donbtless  the  basis  of  the  donble  iron  chains  of  poti, 
vrith  brass  bodteta  holding  abont  a  gallon  each,  that  were  used  b^ 
the  Bomaos,  and  hence  also  the  remote  ancestor  of  our  modem 
chains  of  pots  having  chains  of  jointed  iron  bars,  skeleton  sii- 
spoked  or  hexagonal  wheels,  and  buckets  or  iron  casks  of  the  most 
improved  form;  or  again,  somewhat  like  those  used  and  worked 
by  steam  power  on  the  Metropolitan  District  Boilway  to  clear  tke 
line  of  water. 

The  true  Persian  wheel,  with  which  tho  chain  of  pota  is  boh* 
times  confoanded,  is  a  wheel  with  a  hollow  tyre,  and  is  an  inferiot 
contrivance,  suituble  only  to  small  lifts. 

Beferring  to  the  table  given,  the  details  of  which  have  been 
reduced  and  modified  in  order  to  show  as  much  as  possible  wbrt 
comparison  may  be  drawn  in  favour  of  each  machine,  it  will  be 
noticed  that  the  full  amount  of  work  done  and  power  exerted  is,  in 
the  first  place,  giveD  for  all  cases,  under  a  theoretical  condition  tlu>t 
never  occurs  in  practice.  In  each  and  all  of  these  machines,  acertiin 
amount  of  work  ia  wasted  by  leakage,  spilling,  faulty  constraetion, 
or  inexactness  of  form,  delay  for  small  repairs,  and  many  other 
such  causes.  To  obtain  anything  near  the  truth,  therefore,  * 
coeflBcient  of  reduction  that  is  purely  empirical  most  be  applied. 
Some  of  these  coefficients  are  given  in  the  Boorkee  profeagionBl 
papers,  others  are  obtuned  tiom  qUx«i  aaoKMS ;  they  may  tea  oni 


221 

^s  in  dealing  with  such  rough  machines  be  applied  equally  to 
rk  done  and  the  effective  power  exerted  ;  but  as  the  latter  is 
ncipal  object  under  consideration,  the  amounts  under  that 
nlj  are  reduced.  The  final  quantities,  therefore,  are  more 
illy  useful. 

results  may  not  at  first  sight  appear  to  admit  of  much 
ison  being  made ;    certain  things  are,  however,  plainly  in- 

by  them,  the  most  marked  one  being  that  all  such  rough 
lie  contrivances  used  in  small  lifts  involve  a  great  waste  of 

as  well  as  of  water,  much  intermediate  time  being  lost 
a  the  lifts,  and  that  the  machine  itself,  when  on  a  large 
being  more  properly  made  and  more  carefully  worked  is 
-e  effective.     This  is  shown  most  on  comparing  the  effective 

of  the  North  Indian  beam  and  bucket  (12)  with  the 
m  Indian  picotahs  (1, 2,  8) ;  in  the  mots,  on  the  other  hand, 
rantage  is  on  the  side  of  the  North  Indian,  probably  from 
ng  an  additional  man,  although  it  is  probably  obtained  at 
(at  an  expense.  The  chain  of  pots  more  exclusively  used 
them  India  appears  to  be,  under  theoretical  conditions,  the 
effective  of  all  these  contrivances.  The  data  given  are, 
le  very  variable  nature  of  such  things,  too  rough  to  allow 
comparison  being  drawn  between  such  contrivances  and  the 
ivilized  arrangements ;  but  they  may,  however,  be  of  use 
}e  unacquainted  with  Indian  contrivances  when  first  called 
leal  with  them. 


HYDRAULIC    WORKING 


TABLES. 


TSOt^-^rHCOr^tJ 


ssss 


3    1 

i  : 


I       ! 


S  I 


11 


TABLE  IL— Pabt  1. 


Total  quantities  of  water  equivalent  to  a  given  reinfidL 


Rainfall 
in  feet. 

Cable  feet 
per  acre. 

Cable  feet 

per 
sqoare  mile. 

BabfiOl 
in  feet. 

CaUe  feet 
perften. 

CBbiefal 

•qoan  nilft. 

1- 

43  560 

27  870  400 

(in 

1- 

48  560 

27  878  m 

•9 

39  204 

25  090  560 

(11") 

•917 

89  900 

25  555  200 

•8 

34  848 

22  802  720 

(in 

•883 

86  300 

23  232  000 

•7 

30  492 

19  514  880 

(n 

•760 

82  670 

20  908  800 

(J 

26  136 

16  727  040 

(n 

•666 

29  040 

18  505  GOO 

•r> 

21  780 

13  939  200 

in 

•583 

25  410 

16  262  400 

•4 

17  424 

11  151  360 

(6") 

•5 

21  780 

13  939  200 

•3 

13  068 

8  363  520 

(n 

•417 

18  150 

11  616  000 

•2 

8  712 

5  575  680 

(n 

•333 

14  520 

9  252  800 

•1 

4  356 

2  787  840 

(3'0 

•250 

10  890 

6  969  600 

(n 

•166 

7  2(^ 

4  646  400 

(I") 

•083 

3  630 

2  323  200 

•09 

3  920 

2  509  056 

•08 

3  485 

2  230  272 

•07 
•00 
•05 

3  040 
2  614 

2  178 

1  951  488 
1  672  704 
1  393  920 

For  decimt 
remove  the  p 
qnantities. 

lis  of  an  inc 
oint  in  the  ec 

h  of  rainfall 
)rre8pondiiig 

'M 

1  742 

1  115  136 

•03 

1  307 

836  852 

•0-2 

871 

557  568 

•01 

436 

278  784 

Ul 


TABLE  IL~Paet  2. 


in  cubic  feet  per  second  tbroughoat  the  year,  eqaivalent  to 
annnal  rainfiJl  over  one  square  mile  of  catchment  area. 


Doal 
bUin 

Diflchaiges  in 

eubiefeet  per 

■eoond. 

Annual 

rainfall  in 

feet. 

Dischargea  in 

cnbic  feet  per 

second. 

Annual 

rainfall  in 

feet 

Diacharges  in 

cabio  feet  per 

second. 

•1 

•0883 

2-1 

1-8550 

41 

3-6217 

•2 

•1766 

2-2 

19433 

4-2 

3-7100 

•3 

•2650 

2-3 

2-0317 

4-3 

3-7983 

•4 

•3533 

24 

2-1200 

4-4 

3-8866 

•6 

•4417 

2-5 

2  2083 

4-5 

3-9750 

•6 

•5300 

26 

2-2966 

4-6 

4-0633 

•7 

•6183 

2-7 

2-3850 

4-7 

41517 

•8 

•7066 

2-8 

2-4733 

4-8 

42400 

•9 

•7950 

2-9 

2-5617 

4-9 

4-3283 

1-0 

•8833 

3-0 

2-6500 

5-0 

4-4166 

11 

•9717 

3-1 

2-7383 

55 

4-8583 

1-2 

1-0600 

3-2 

2-8266 

.6- 

5-3000 

1-3 

1-1483 

3-3 

2-9150 

6-5 

5-7417 

1-4 

1-2366 

3-4 

3-0033 

7- 

6-1833 

1-5 

1-3250 

3-5 

3-0917 

7-5 

6-6250 

IG 

1-4133 

3-6 

31800 

8- 

7-0666 

17 

1-5017 

3-7 

3-2683 

8-5 

7-5083 

1-8 

1-5900 

3-8 

3-3566 

9- 

7-9500 

1-9 

1-6783 

3-9 

3-4450 

9-5 

8-3917 

20 

1-7666 

40 

3-5333 

10- 

8-8333 

TABLE  IL— Pabt  3. 

DischaigOB  m  cdHo  feefc per  ncond,  iininiilwil  li 

(24  hovn)  ovsr  n^Miinmt  wi 


n 

Fort 

mj  wtoMlh  hit  Mi  iijprt  d 

'I  1  wj  -osj-or  I'M  [-oej-o*  j-otloip 

1 

32-26 

29-08 

26-81 

OaUa 
22-58 

Up.. 
19-84 

18-lS 

1240 

»S! 

6-41 

> 

2 

64-52 

58-07 

51-62 

45-16 

88-72 

IS-S6 

24-81 

I9-1M 

IHO 

8 

92-80 

83-52 

74-24 

64-96 

66-6! 

48-40 

87-12 

87-84 

18-SC 

4 

129-0 

U6-1 

108-2 

90-80 

76-40 

6^60 

61-80 

88-70 

26-80 

i 

161-8 

145-2 

129-0 

lis* 

96-80 

80-64 

6irK 

4840 

S»2i 

6 

193'S 

174-2 

154-8 

136-4 

1161 

»6-78 

77-40 

£8-06 

38-!« 

7 

226-8 

203-2 

180-6 

168« 

lU-5 

112-9 

90«0 

67-78 

4S-U 

8 

258-0 

282-2 

206-4 

180-6 

164-8 

1290 

108-2 

77-40 

61-e« 

9 

2904 

261-4 

282-3 

203-8 

174-3 

146-2 

116-2 

87-13 

68-10 

10 

322-6 

290-8 

258-8 

225-8 

198-5 

161-8 

129-2 

96-77 

64-60 

1' 

For  ■  d^ij  nusfaU  in  fart  ud  dedmali  o( 
■0833    -075    -0666    -0583      -05     -0417    -033     -026    -016     -« 

1-0  1       -9  1       -8  1       -7  1       -6  1       -5  1       -4  1      -8  1     -2 1 

1 

26-89 

24-20    21-51 

Cifaicbrtixrt 
18-82    16-13 

uoad. 
13-44 

10-76 

8-07 

5-3! 

2 

53-78 

46-40 

48-00 

37-64 

82-26 

26-89 

21-50 

1613 

10-75 

3 

80-67 

54-60 

64-63 

56-47 

48-40 

40-33 

32-26 

24-20 

1613 

1 

4 

107-6 

96-76 

86-00 

75-25 

64-60 

53-78 

43-00 

32-25 

21-50 

11 

5 

134-4 

120-9 

107-5 

94-08 

80-64 

67-22 

53-75 

40-32 

26-87 

1 

6 

161-3 

146-1 

136-0 

112-9 

96-78 

80-67 

67-55 

48-39 

33-77 

K 

? 

188-2 

169-3 

160-5 

131-7 

112-9 

9411 

76-25 

56-45 

87-6! 

11 

8 

2151 

193-6 

172-1 

150-5 

129* 

107-6 

86«5 

64-50 

43-0! 

2 

9 

242-0 

217-8 

198-6 

169-4 

145-2 

121-0 

96-80 

72-60 

48-40 

2 

10 

268-9 

242-0 

216-1 

187-4 

161-3 

1344 

107-5 

80-66 

58-75 

2 

TABLE  III.— Part  1. 

Chiide  for  oapadiy  of  reservoirs  and  snpply  from  gathering 

grounds. 


■pply  required, 
mxing  240  days 
r  ei|^t  monihfl. 

1 

Contents  of 

leMrrdr  to  hold 

tliat  lapplf. 

Saifftce  of  that 

reeerroir  if  8 

feet  deep  on  the 

average. 

Oatohment  area  necessary 
to  fill  that    reservoir  in 
fonr  moQths,  having  one 
foot  available  ralDftill  in 
that  time. 

Cnb.ft.par 
miiomd. 

Cubic  feet. 

Square  feet. 

Sqnare  miles. 

I 

20  736  000 

6  912  000 

•7438 

2 

41 472  000 

13  824  000 

1-4876 

3 

62  208  000 

20  736  000 

2-2314 

4 

82  944000 

27  648  000 

2-9752 

5 

103  680  000 

34  560  000 

37190 

6 

124416  000 

41 472  000 

4-4628 

7 

145 152  000 

48  384000 

5-2066 

8 

165  888  000 

55  296  000 

5-9504 

9 

186  624000 

62  208  000 

6-6942 

10 

207  360  000 

69 120  000 

7-4380 

1-3444 

27  878  400 

9  292  800 

1 

2-6888 

55  756  800 

18  585  600 

2 

4K>333 

83  635  200 

27  878  400 

3 

5-3777 

111  513  600 

37 171  200 

4 

6-7222 

139  392  000 

46  464  000 

5 

8-0666 

167  270  400 

55  756  800 

6 

9-4100 

195 148  800 

65  049  600 

7 

10-7655 

223  027  200 

74  342  000 

8 

12-0999 

250  905  600 

83  635  200 

9 

13-4444 

278  784  000 

92  928  000 

10 

N.B.-^Tho  next  page  will  contain  two  examples  for  this  table. 


VI 


Example  I. 

A  disobarge  of  18  234  cubic  feet  per  •eooui  Is  wnalmd  dming  e^ 
months  of  the  year  from  a  reservoir  wbibh  ia  ta  be  eupplied  Ij.i 
catchment  area  yielding  an  availalble  xainlUl  of  1'8S  fbet  during  A| 
remaining  fonr  months ;«reqnired  the  cootenti  of  tiie 
the  size  of  the  catchment  area* 


Obtain  from  the  Table  the  quantities  doe  to  1  fbofc  of  nxn&U, 

Supply,  cubic  feet 

Contents  of  lewrvoir, 

Oatehment  aiHt 

per  second. 

oalriofeet. 

■qnara  mfleL 

10 

207360000 

7-4880    . 

8 

165888000 

5*9504 

•2 

4 147  200 

•1487 

•03 

622080 

•022S 

•004 

82944 

•0029 

18-234  378100  224  8*5623 

Catchment  area  for  132  feet  of  fall  =    ^^^^'^^  =  10274  sq.  miles. 

1-32 


Example  11. 

A  catchment  area  of  21*963  square  miles,   having  an  availaUs 
rainfall  of  1*32  feet  in  four  months  of  rainy  season,  supplies  a  resermr 
which  is  to  hold  water  for  eight  months'  supply ;  what  should  be  tie 
full  contents  of  the  reservoir,  and  the  supply  in  cubic  feet  per  seoondl 
during  the  eight  months  ? 

The  proportionate  catchment  area  for  an  available  rainfidl  of  cm 
foot  will  =:  21*963  X  1-32  =  29001  square  miles. 


Area 

Contents  of  reservoir, 

Supply,  cub.  ft. 

cubic  feet. 

per  second. 

20 

557  568  000 

26*888 

9 

250  905  600 

120999 

•001 

27  878 

•0013 

29001 

808  501 478 

38*9892 

TABLE  m.— Paet  2. 

Qnide  tar  acreage  nnder  irrigation,  and  for  population  ander 

water-sapply. 


11 

AtfiO 

At7B 

At  100 

At  160 

At  200 

Ataso 

At  800 

"ti^r 

«CTM  per 
cab.  ft.  per 

kcrcaper 

"iHr 

"^r 

KiuDbw 

of  icra  »l«ted. 

1 

50 

75 

100 

150 

200 

250 

300 

2 

100 

150 

20O 

300 

100 

600 

600 

3 

150 

225 

300 

450 

600 

750 

900 

* 

200 

300 

400 

600 

800 

1000 

1200 

5 

250 

375 

500 

750 

lOOO 

1250 

1500 

6 

300 

450 

600 

900 

1200 

1500 

1800 

7 

350 

525 

700 

1050 

1«0 

1760 

2100 

8 

400 

000 

800 

1200 

1600 

2000 

2400 

9 

450 

675 

900 

1350 

180O 

2250 

2700 

10 

500 

750 

1000 

ISOO 

2000 

2500 

3000 

•8-S       At  6 

At7i 

DtltoiU 

At  10 

per  head 
d«Jy. 

At  15 

per  brad 
daily. 

At  20 
gallona 
per  head 

dailf. 

At  25 
gaU0D« 
perheud 
dul;. 

At  30 

e>iioiui 

per  head 

Fopnlittioa  mpplied. 

1 

107732 

71820 

53866 

35910 

26033 

21540 

17955 

3 

215*>i 

143640 

107732 

71820 

53S6G 

43093 

35910 

3 

323196 

215460 

161598 

107730 

80799 

64639 

53865 

4 

430928 

287280 

215464 

143640 

107732 

86186 

71820 

5 

538GC0 

359100 

269330 

179550 

134665 

107032 

89775 

fi 

&16392 

430920 

323196 

215460 

161598 

12D278 

107730 

? 

764124 

474740 

377062 

237370 

188531 

150825 

118685 

8 

861856 

574560 

430928 

2e<7280 

215404 

172371 

143640 

S 

969588 

ti40380 

484794 

323190 

242397 

193917 

161596 

lo 

1077820 

718200 

538660 

369100 

269330 

215464 

179550 

Jf.B.—Tilie  next  jMif^c  will  contHiii  oxpluniitory  oxninplcii 


•  •• 

VUl 


Example  I. 

A  combined  irrigation  and  water-worik  adieme  jields  18^ 
cubic  feet  per  second ;  what  amonnt  of  land  and  of  popnlation  ootid 
it  snpi^j,  at  the  rates  of  150  acres  per  cabio  foot  per  aeocmd,  and  7i 
gallons  per  head  per  diem,  if  one-fonrth  alone  is  to  be  used  for  tiia 
water- works  ? 

.The  snpplj  available  for  irrigation  will  be  ma  18*234  —  4-558 
=sl3-676cnbic  feet  per  second;  and  from  Table  IIL,  Part  2,  we  obtm 
the  required  resnlts,  thi 


Cubic  feet  per  second.  Population. 

4  287  280 

•5  85  910 

•05  0  591 

•008  574 


4*558 


327  855 


CaUo  feet  per  seoond. 

AcM 

10- 

isoo 

3- 

450 

•6 

90 

•07 

10-i 

•006 

•9 

13-676 


2051' 


EXA.HPLB  II. 


A  town  has  a  population  of  40,000,  requiring  water  supply  at  15 
gallons  per  head  daily,  and  has  suburbs  to  the  extent  of  1,400  acres 
requiring  irrigation  at  150  acres  per  cubic  foot  per  second  of  supply:-" 
what  catchment  area  will  be  necessary  to  provide  this,  if  the  anniul 
rainfall  is  GO  inches  P 

According  to  Part  2,  Table  III.,  the  supply  necessary  will  be 


For  population. 
85  910        1 
3  591  -1 

489  -02 


40  000        1-12 


For  irrigation. 
1 350  9- 

50  -04 


Total 

cubic  feet 

per  second. 


lOlG 


1 400  9-04 

Now,  assuming  that  out  of  60  inches  annual  rainfall,  30  can  b^ 

ntiliseed  after  deducting  for  all  losses: — we  find  that  according  t(^ 

Part  2,  Table  II.,  this  is  equivalent  to  a  supply  of  2*2083  cubic  feeO 

|)er  seoond  from  one  square  mile,  hence  the  minimum  catchment 

^^ ,  .„  _  10-16        .  ^  ., 

necessary  will  =  o:^?^  =  ^'^  square  miles. 


IX 


TABLE  IV.— Pabt  1. 


Table  of  flood  discbarges  in  cubic  feet  per  second,  due  to  catchment 

areas  in  square  miles,   and  corresponding   to  a   coefficient  n=l 

in  the  f<nrmnla  • 

Q  =  n  X  100  (N)*- 

For  local  yalnes  of  coefficients,  see  Part  2,  Table  XII. 


4»  ' 

e 

la 
6 

Flood 
diaduuge. 

Flood 
dwduvge. 

Catchment 
area. 

Flood 
diichaige. 

Catchment 
area. 

FJood 
discharge. 

•01 

3 

11 

604 

41 

1620 

71 

2446 

•02 

5 

12 

645 

42 

1660 

72 

2472 

•08 

7 

13 

685 

43 

1679 

73 

2498 

•04 

9 

14 

.724 

44 

1708 

74 

2523 

•05 

11 

15 

762 

45 

1737 

76 

2549 

•06 

12 

16 

800 

46 

1766 

76 

2574 

■07 

14 

17 

837 

47 

1796 

77 

2699 

•08 

15 

18 

874 

48 

1824 

78 

2625 

•09 

16 

19 

910 

49 

1862 

79 

2650 

20 

946 

60 

1880 

80 

2675 

•1 

18 

21 

981 

61 

1908 

81 

2700 

•2 

30 

22 

1016 

52 

1936 

82 

2725 

•8. 

41 

23 

1050 

63 

1964 

83 

2750 

•4 

50 

24 

1084 

54 

1992 

84 

2775 

•5 

59 

26 

1118 

66 

2020 

86 

2799 

•6 

68 

26 

1161 

66 

2047 

86 

2824 

•7 

76 

27 

1184 

57 

2074 

87 

2849 

•8 

85 

28 

1217 

58 

2802 

88 

2873 

•9 

92 

29 

1260 

69 

2129 

89 

2898 

30 

1282 

60 

2166 

90 

2922 

1- 

100 

31 

1314 

61 

2183 

91 

2946 

2- 

168 

32 

1345 

62 

2210 

92 

2971 

3- 

238 

33 

1377 

63 

2236 

93 

2995 

4> 

283 

34 

1408 

64 

2263 

94 

3019 

5^ 

334 

35 

1439 

66 

2289 

96 

3048 

6- 

383 

36 

1470 

66 

2316 

96 

3067 

?• 

430 

37 

1500 

67 

2342 

97 

3091  . 

8- 

476 

38 

1631 

68 

2368 

98 

3115 

9- 

520 

39 

1661 

69 

2394 

99 

3139 

10- 

I 

562 

40 

1590 

70 

2420 

lOO 

3162 

TABLE  IV.— Past  I— e<jn(wiii*<l. 


jl 

Flood 

diNhwgS. 

ji 

Flood 
di«h^.. 

P 

1 

FlMd 

dl»b«p. 

1^ 

Flood 

110 

8397 

410 

9112 

710 

18  751 

1250 

210S2 

120 

3625 

420 

9278 

720 

13  900 

1500 

2410t 

130 

3860 

430 

9443 

730 

UOM 

1750 

27  057 

110 

4070 

440 

0607 

740 

14  188 

2000 

29  907 

150 

4280 

450 

9770 

750 

14  332 

2500 

36  3S5 

ICO 

4499 

400 

9933 

700 

14  475 

3000 

40  S« 

170 

4708 

470 

10  094 

770 

14  617 

3500 

45  501 

180 

4014 

480 

10  255 

7S0 

14  700 

4000 

50  297 

100 

5117 

490 

10  415 

790 

14  901 

4500 

64  013 

200 

6318 

500 

10  574 

800 

15  0^2 

5000 

59  4C0 

210 

5517 

SIO 

10  732 

810 

15  183 

5500 

G3  867 

220 

5712 

520 

10  890 

820 

15  324 

GOOO 

68  173 

280 

5900 

530 

11046 

830 

15  463 

6500 

72  391 

240 

G098 

540 

11202 

810 

15  003 

7000 

76  529 

2fi0 

6267 

650 

11  357 

850 

15  742 

7500 

80.593 

260 

0175 

560 

11612 

BGO 

15  881 

8000 

84  590 

270 

G6C1 

570 

116C6 

870 

16  019 

8500 

68  525 

280 

GS15 

580 

11819 

880 

10  1S7 

9000 

92  402 

290 

7027 

690 

11791 

890 

16  295 

9500 

06  418 

800 

7208 

000 

12  123 

900 

16  432 

lOOOO 

100  000 

810 

7388 

CIO 

12  204 

910 

10  568 

320 

76GC 

020 

12  425 

920 

10  705 

20  000 

168179 

830 

7743 

G30 

12  575 

930 

16  841 

80  000 

238  285 

310 

7918 

OiU 

12  721 

910 

16  970 

40  000 

2S2  855 

350 

8092 

C50 

12  873 

050 

17  112 

50  000 

331  370 

3C0 

8205 

iiCO 

13  021 

900 

17  240 

CO  000 

383  360 

3?0 

8130 

670 

18  169 

070 

17  381 

70  000 

430  332 

3S0 

6007 

080 

13  310 

980 

17  511 

80  000 

475  6S3 

890 

8770 

090 

13  4C3 

990 

17  649 

90  000 

519  615 

400 

8941 

700 

13  009 

KXW 

17  783 

100  000 

5(»84l 

XI 


TABLE  IV.— Pakt  2. 


d  diacharges  from  catchment  areas  with  a  coefficient  n  =  8*25 
and  corresponding  waterway  for  bridge  openings. 

(By  Colonel  Dickens.) 


'Si* 

^'&^ 

•8 

tchment  area. 

Flood  diFcharge, 
co-eff  8-25 

11 

• 

Feet. 
5 

Flood  water- 
way. 

Na  of  J 
opening 

1 

00 

Height 
pier. 

square  miles. 

Cub.  feet  per  sec. 

Square  feet. 

No. 

Feet. 

Feet. 

•0016 

6-5 

1-5 

U 

1 

•0031 

11- 

5 

2-25 

2 

n 

•0047 

16 

5 

3- 

^ 

2 

•0078 

22 

6 

4-5 

3 

li 

•0126 

31 

6 

6- 

1 

3 

2 

•0260 

52 

6 

10-5 

4 

2f 

•0626 

103 

6 

18- 

6 

3 

•1250 

173 

6 

29- 

7 

4 

•2500 

292 

6 

49- 

10 

5 

•6000 

490 

6 

81- 

12 

7 

1 

825 

137 

2 

12 

6 

2 

1388 

200 

3 

12 

6 

3 

1881 

270 

3 

14 

7 

5 

2  760 

400 

3 

16 

8 

7 

3  560 

507 

3 

18 

9 

10 

4  640 

663 

3 

20 

11 

20 

7  804 

8 

975 

6 

20 

10 

30 

10577 

8 

1322 

5 

24 

11 

50 

16  605 

9 

1734 

5 

30 

IH 

100 

26  094 

9 

2  899 

5 

40 

14i 

200 

43  884 

10 

4  388 

7 

40 

15i 

300 

69  481 

10 

6  948 

9 

40 

16i 

500 

87  255 

10 

8  725 

9 

50 

19 

1000 

146  737 

10 

14  673 

15 

60 

19 

1000 

246  780 

11 

22  434 

16 

60 

24 

1000 

334487 

11 

30  408 

20 

60 

26 

;ooo 

490  636 

12 

40  886 

20 

76 

27 

)000 

825  000 

12 

68  750 

30 

75 

30 

)000 

1  387  746 

13 

106  749 

40 

76 

35 

)000 

1  870  962 

13 

143  920 

45 

80 

40 

)000 

2  695  690 

14 

190  256 

50 

90 

42 

)000 

4  639  274 

15 

309  285 

60 

100 

50 

Z11 


TABLE  V. 


Comparatiyc,  nsnal,  and  safe  bottom  yeloGities. 


Feet  per 
aeoondi 

ttmi. 

Slow  riyers 

Ordinary  riyers    •.. 
Rapid  nyers 

A  man's  walk 

Horse  trot     

Racing  speed 

Winds 

OtORBS  ••»      •••       ... 

Hurricanes    •••     ••• 

•33 

2-25 

10^5 

4-5 
10-25 
88 

10-26 

52-76 

117-26 

Sailing  ships 

Sea  Bteamors           ••• 

River  Bteamers 

BailwayBi  Bnglidi  ... 

IV          Amerioaii 

Sound  at  30* 
Sound  at  63" 
Air  into  a  vaoaom. 

Bar.  30^ 

17      • 

SO 

S6 

47 

iO     . 
S7 

1090 
1122 

• 

1344 

Feet  pet 

MOODi 

Limits  usual  for  canals     ...         •••         

Limits  for  rivers  and  canals  just  navigable 
Limits  for  irrigating  channels     ... 

Limits  for  sewers  and  brick  conduits 

Earthenware  drainage  pipes        ...         ...         

Maximum  tidal  current  measured           

Best  velocifcies  for  pipes,  so  as  to  get  a  1 
maximum  discharge  under  pressure  ) 

lto4 
3to4| 
lto3 
lto4| 

25  to  85 

Safe  maximum   bottom  velocities. 

Feet  per 
second. 

For  soil  clay          

For  fine  sand          ...         ...         ...         •••         ...         ... 

For  coarse  sand  and  small  gravel           

For  gravel  as  large  as  beans        

For  gravel  one  inch  in  diameter  .. .         

For  pebbles  one  and  a  half  inches  in  diameter ... 

For  heavy  shingle 

For  softer  rocks,  brick  and  earthenware 
For  hard  rock        ...         ...         ...         ... 

•25 
•5 
-7 
1- 

2-25 
8-83 
4- 
4-6 
6  to  10 

'I' 


TABLE  VI.—Part  1. 

Ordinar}^  limits  of  channel  gradients. 

R^iprocal  of  slope. 
1  in  500  000       Least  canal  slope  to  produce  motion. 

in     6  000 1    ^i^te  of  tidal  navigation  for  large  canals, 
in     5  000  \    ^^  ^^  most  deltaic  or  inundation  canals, 
in     2  000  (    ^^  ^^  most  canals. 

in        ^  IWl  ^ 

in     1  000  (    ^^^^  ^^  smaller  canals,  channels. 

^      ^^1    Fall  of  most  rivers, 
in        500  3 

^        ^22  i    Fall  of  torrents, 
m         80) 


Mazimom  gradients. 

1  in  50  Ordinary  railways. 

1  in  30  Turnpike  road. 

1  in  20  Public  road. 

1  in  16  Private  road. 

1  iii    8  Maximum  for  an  ordinary  carriage  to  ascend. 

1  in    4  Mft-Tirnnm  for  beastfl  of  burden. 

1  in  li  Maximum  for  hill  walking. 

Various  slopes. 

1     to  1  to  i  to  1  Chalk ;  dry  clay. 

1  to  1  Compact  earth  rubble,  dry  set. 
1^  to  1  Gravel,  shingle,  dry  sand. 

1^  to  1  Average  mixed  earth,  dry. 

If  to  1  Vegetable  earth,  dry. 

2  to  1  \  Sand  dry. 

2    to  1  >  Minimum  for  slated  and  tiled  roofs. 

2i  to  1  /  Maximum  for  back  slopes  of  rammed  earthen  dams. 

3^  to  1    Maximum  for  breast  slopes  of  rammed  earthen  dams. 

4    to  1    to  3  to  1  Wet  clay,  peat. 

JVLB. — ^Wetted  soil  requires  a  less  slope  than  dry  soil  generally. 


TABLE  VI.— P«r  2. 
Redaction  cf  gndients. 


PBllinfMt 

FulbM 

81^(81 

FdJofmuiD 

Krmil.. 

8kT.(8) 

FtflofMuin 

loaik. 

•0000100 

100  000 

-0528 

-00055 

181S 

2-904 

■000  0133 

75  000 

-0704 

•0006 

1666 

3168 

■000  0150 

fiOGO^ 

-0792 

•000  65 

1638 

3333 

-0000200 

CO  OOO 

'1056 

•000  66 

IBOO 

3.62 

-000  0250 

40000 

•1320 

•0007 

14S9 

3-G96 

-0000:100 

33333 

•1584 

-000  75 

1833 

3-960 

000  0333 

30000 

-1760 

•0008 

1260 

4-224 

-000  0350 

28  671 

-1848 

-00086 

1176 

4-488 

-0000400 

2.5  000 

-2112 

-0009 

1111 

4758 

-000O160 

22  222 

•2376 

-000  96 

1053 

5-01« 

000  0173 

21120 

-2500 

-000  0500 

20  000 

-26« 

-001 

1000 

5-28 

-000  0000 

1C06C 

•3168 

-00110 

909 

5-808 

-000  0700 

14  296 

-3696 

-00111 

000 

6-S61 

-000  0800 

12  500 

-4224 

-00125 

800 

66 

-000  0000 

11111 

-4752 

-00143 

700 

7-54 

-ooooa-47 

10  500 

-5 

-0016 

666 

7-M 

-000  1000 

10  000 

-528 

-00166 

COO 

8-8 

-0001111 

9000 

•58G6 

-00175 

571 

9-24 

-0001250 

8000 

-6600 

-002 

500 

10-56 

■OOO  1420 

7004 

-7500 

-000 1-128 

7000 

-7543 

-0001500 

6606 

-7920 

-00226 

444 

11-88 

-000 16(il> 

6000 

-8800 

•0025 

400 

1320 

-000 1750 

5714 

-9240 

•00275 

304 

1462 

-000  ISiH 

5280 

1- 

■003 

333 

15^6t 

-000  2000 

5000 

1-056 

•00325 

308 

1666 

-00333 

300 

17-60 

-000  25 

4000 

1-320 

-0035 

286 

I8^48 

-OOO  3 

3333 

1-584 

-00375 

266 

1980 

-000  333 

3000 

1-760 

-004 

250 

2112 

-000  35 

2857 

1-848 

-00426 

235 

2244 

•0004 

2500 

2-112 

-0045 

222 

2376 

-000-15 

2222 

2-370 

-00475 

210 

2608 

-0005 

2000 

2-640 

-005 

200 

2640 

TABLE  VI.— Part  2— continued. 


Redaction  of  gradients. 


XT 


- 

Fall  of  one  in 

FaU  in  feet 
per  mile. 

Slope  S. 

Fall  of  one  in 

Fallinfeet 
per  mile. 

200 

26-40 

•015385 

65- 

81-23 

53 

IIK) 

27-78 

•0155 

64-5 

81-84 

181-8  ■ 

29-04 

•016 

62-5 

84-48 

55 

180 

29-33 

-0165 

60-6 

87-12 

32 

170 

3105 

-016667 

60- 

88- 

16&66 

31-68 

•017 

58-8 

89-76 

50 

160 

33- 

-0175 

571 

9240 

153  8 

33-32 

-018 

55-6 

9504 

57 

150 

35-20 

•018182 

55- 

96- 

142-86 

36-96 

•0185 

541 

97-68 

13 

140 

37-71 

•019 

52-6 

100-32 

133-3 

39-60 

•0195 

51-3 

102^96 

)2 

130 
125 

40-60 
42-25 

•02 

50- 

105^6 

^3 

120 

44- 

•021 

47.6 

110-88 

117-6 

44-88 

-022 

45-4 

116-16 

111-1 

47-52 

•023 

43-5 

121-44 

)1 

110 

48- 

•024 

41-7 

126-72 

105-3 

50-16 

•025 

40- 

132- 

100 

5280 

•026 

38-5 

137-28 

•027 

37-0 

142-56 

95-2 

55-44 

-028 

35-7 

147-84 

>6 

95 

65-57 

•029 

345 

153-12 

90-9 

58-08 

•03 

33-3 

158-4 

il 

90 

58-66 

86-9 

60-72 

•031 

32-3 

163-68 

55 

85 

62-11 

•032 

31-3 

168-96 

83-3 

63-36 

•033 

30-3 

174-24 

80 

66' 

•034 

29-4 

179-52 

76-9 

68-64 

-035 

28-5 

184-8 

I 

75 

70-40 

•036 

27-8 

190-08 

741 

71-28 

•037 

27-0 

195-36 

71-4 

73-92 

•038 

26-3 

200-64 

^6 

70 

75-42 

•039 

25-6 

205-92 

66-7 

79-20 

04 

25- 

211-2 

m 

j^ 

HH 

■ 

^^^^ 

^^3 

<ri 

i 

TABLB  TI.— P««T  8. 

1 

J 

'sr 

Ratio  to  OM 

fNtUld 

dadnubtM 

100  Int. 

•sSr 

BUiatooM 

m 

r 

67 

«16 

5°  80' 

... 

481 

r  15' 

46 

5- 4a' 

10 

... 

1"  30' 

39 

.034 

5'45' 

■a 

1°  -15' 

33 

6" 

9-5 

■M 

■r 

28 

■061 

«•  15' 

;.. 

m 

2-  16- 

25 

... 

e-ai' 

9 

.- 

2-  Stf 

23 

095 

6°  SO' 

... 

<M 

2°  45' 

21 

6-  43' 

8^5 

.- 

3° 

19 

■137 

6"  45' 

■6M 

S-  15' 

18 

■161 

r 

■74S 

3°  28' 

17 

... 

r  7' 

8 

... 

3°  SO' 

■1S7 

r  15' 

■ew 

3*  35' 

16 

r  30- 

■856 

3-  45' 

■214 

7*  36' 

7-5 

... 

3°  49' 

15 

... 

7'45' 

■913 

4" 

■244 

S' 

■973 

4-    6' 

14 

S"    8' 

7 

... 

4-  15' 

■275 

8-  15' 

1^035 

4-  21' 

13 

s-sc 

1^098 

4-  30- 

■308 

8-  45' 

65 

1164 

4-4.5' 

12 

■sm 

9* 

1^231 

6= 

H6 

■381 

Sf  16' 

rsoo 

5"  12' 

n 

9°  27' 

6 

... 

S'  15' 

■420 

Sf  SC 

... 

1371 

6'  27 

10-5 

9- 46' 

... 

I'M* 

XVll 


TABLE  YI.— Part  ^--ctmtinued. 
Bednction  table  for  angular  slopes. 


solar 
opa. 

Batio  toone 
peipendieiilar. 

Bedactioniii 
feet  and 

dedniAb  for 
100  feei. 

Angular 
Slope. 

Bfttio  toone 
perpendicuUr. 

Bednction  in 
feet  and 

decimals  for 
100  feet 

•  52* 

575 

••• 

17°    6' 

3-25 

•  •• 

» 

•  •• 

1-519 

17^30' 

•  •  • 

4-628 

•  IS* 

5-5 

•  •  • 

18*^ 

•  •• 

4-894 

•  sc 

•  •• 

1-675 

18°  26' 

3 

••• 

f  47' 

5-25 

•  •• 

18°  30' 

•  •• 

5-168 

O 

• 

••• 

1-837 

19° 

•  •• 

5-448 

•  ly 

5 

•  •• 

19°  30' 

•  •  • 

5-736 

i"  30' 

••• 

2008 

19°  59' 

2-75 

••• 

[•sy 

475 

•  •• 

20° 

••• 

6031 

8* 

•  •• 

2185 

21°  48' 

2-5 

•  •  • 

e  80' 

•  •• 

2-370 

23°  58' 

2-25 

••• 

P82' 

4-5 

•  •• 

25° 

•  •  • 

9-369 

iP 

••• 

2-553 

26°  34' 

2 

•  •  • 

S»15' 

4-25 

•  •• 

29°  44' 

175 

• .  • 

arao' 

••• 

2-763 

30° 

... 

13-397 

4" 

4 

2-970 

33<>  41' 

1-5 

•  •  • 

4"    2' 

••• 

•  t  • 

35° 

•t* 

18-085 

4"  SC 

••• 

3-185 

38°  39' 

1-25 

• .  • 

4' 55' 

375 

•  •• 

40° 

••« 

23-396 

5* 

•  •  • 

3-407 

45° 

1 

... 

5'  ac 

•  t  • 

3-637 

50° 

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35-721 

5-56' 

3-5 

•  •• 

53«    8' 

75 

... 

6* 

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3-874 

56^20' 

■66 

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4118 

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ExFLiNATOKr  EXAMPLES  TO  TahLE  VII. 


A  riTer  liaa  a  hydraulic  radina  of  5'2  feet,  a  hydraulic 

!  and  a  oroaa  aectioa  of  1000  square  feet,  reqnired  the 

uming  a  f'rictional  co-efficient  of  "03. 

By  Table  VTI.  the  nnmodified  mean  velocity  of  discbat^  =  3-225 

fct  per  second,  and  by  Part  3  of  Table  XII.  the    value    of  c  the 

coefficient  suitable  to  this  radias  and  slope  is  '668,  hence  the  true  dis- 

dharge  =  cx&.xQ=(>6x   1000  X  3225  =  2128  cubic  feet  per 


EhuHPLE  2.  Suppose  the  river  mentioned  in  the  last  example  to 
hare  a  hydraulic  elope  of  0015,  the  remaining  data  being  aa  before, 
required  tlie  discharge. 

In  this  case  the  inclination  not  being  one  of  those  given  at  the  heads 
id  columns,  make  nae  of  the  tabular  number  corresponding  to  the 
l^dranlic  radius,  which  is  228*03,  and  multiplying  it  by  V'OOIS,  an 
mmodified  mean  velocity  of  discharge  8-87  foct  per  second  is  obtained. 
Taking  the  suitable  co-efficient  e  from  Part  3,  Table  XII.,  the  true 
discharge  =  c    xAxV  =  -65x  1000  X  8-87   =  ^765  onbio  feirtl 


ind. 


ExAUPLB  3.     A  oanal  is  to  have  a  cross  section  of  250  square  feet,  a 
hydntolic  radius  of  4  feet,  and  must  discharge  when  in  perfect  order  i 
ftnd  regimen   500  cubic  feet  per  second,  what  is  the  hydraulic  slope'] 
iieoessary,  and  what  will  its  discharge  be  when  it  wears  itself  ii 
state  resembling  a  natural  channel,  if  we  assume  the  other  data  to  r^T 
main  the  iiamep 

From  an  inspection  of  Table  VII.  and  the  table  of  co-efficients  for 
urti&cial  channels,  it  appears  that  for  the  given  radius  a  co-efficient  of 
753  and  a  slope  of  '00018  would  nearly  satisfy  the  conditions ;  assum- 
ing -753,  the  mean  velocity  becomes  2  Gb  and  the  slope  '0001 75.  The 
dtflchai^  for  a  natural  channel  would  require  the  oo-efficiont  -632,  and 
would  =  -63-2  X  250  x  2lX)  x  s/ 000175  =  418  cubic  feet  p 
second. 


XZVl 


TABLE  VIIL 


For  Ml  cjlindrioal  tabes — ^Pipes,  Sewen,  Ac. 


Pabt  1. — Discliarges  in  oabio  feet  per  eeaoxid. 


Q  =  0  X  89-27  (Sd>)* 


Pabt  2. — Diameters  in  feet  and  deoimala. 


^'^^■^  (1)* 


Part  8. — Heads  for  a  length  of  100  feet,  in  feet. 

1  Q* 

H  =  ^   X   -0648  ^ 

being  values  of  the  corresponding  formnl®,  when  c  ^s  1. 

N'JB. — For  more  correct  results,  apply  the  values  of  the  co-efl&ciei 
(c)  given  in  Part  3,  Table  XII.,  in  every  case,  using  the  table  of  usefi 
numbers,  Part  7,  Table  XII.,  for  powers  and  roots. 

The  tabular  numbers  extend  the  use  of  the  tables  to  any  slope. 

Some  explanatory  examples  follow  this  table. 


xxvu 


TABLE  VIII.— Part  1. 


Discharges  through  fiill  cylindrical  tabes,  Pipes,  Culverts,  <&c. 


1 
liameterB 

For  slopes  of  one  in 

TaboLur  No. 
to  be  multi- 
plied by^s 
for  other 
slopes. 

n  feet. 

100      150 

200      300      400 

500 

1000 

Discharges  in  cable  feet  per  second. 

[")  -083 

•008 

•006 

•006      -005       -004 

•004 

•003 

•079 

J")    166 

•04 

•04 

•03         03        -02 

•02 

-01 

•445 

n  -25 

•12 

-10 

•09        -07        -06 

•05 

-04 

1^227 

4")  -33 

•25 

•21 

•18        -15        -13 

-11 

•08 

2-519 

5")  -416 

•44 

•36 

•31        -25        -22 

•20 

•14 

4-401 

G'O  -5 

•69 

•57 

-49        -40        -35 

-31 

-22 

6939 

r)  -583 

102 

-83 

•72        -59        -51 

•46 

•32 

10-206 

8")  -66 

143 

1-16 

101         -82        -71 

-64 

'45 

14-251 

n  -75 

1-91 

1-56 

1-35      110        -97 

-86 

-61 

19-128 

{/')  -83 

2-49 

2-03 

1-76      1-44      1^25 

1-11 

•79 

24-895 

r)  -916 

316 

2-58 

2^23      1-82       1-58 

1-41 

1-00 

31-594 

2^)1-00 

3-93 

3-28 

2-78      2-27       1-96 

1-76 

1-24 

39-27 

1-25 

6-86 

6-60 

4-85      8.96      3-43 

307 

216 

68-601 

1-5 

10-82 

8-82 

7-65      6-25      5-41 

4-84 

3-42 

108-216 

175 

1591 

12-99 

11-25      9-18       7-95 

7-11 

5-03 

159-095 

2- 

22-21 

18-14 

15-71     12^83     11-11 

9  93 

7-02 

222146 

2-25 

29-82 

24-35 

2108    17-22     1491 

13-34 

9-43 

298-505 

2-5 

88-81 

31-69 

27-44    22-41     19-40 

17-35 

12-27 

388-078 

275 

49-25 

40-22 

84-82    28^48    2462 

22  02 

15-57 

492-489 

3- 

61-21 

49-99 

43-28    35-31    3061 

27-37 

19-35 

612105 

3-25 

74-77 

61-04 

52-87    4318    3738 

33-44 

23-64 

747-744 

3-5 

89-99 

78-49 

63-63    51-96    44-99 

40-25 

28-46 

899-990 

375 

106-94 

87-83 

75-61     61-74    53-46 

47-82 

33-81 

1069-397 

4- 

125-66  102-63 

88-84    72-55    62-83 

56-20 

39-73 

1256-640 

4-25 

146-28  119-42 

10338    84-32    7311 

65-39 

46-24 

1462-262 

4-5 

168-69  137-76  11926    97-39    84-34 

75-44 

53-34 

1686-886 

475 

193-10  157-70  136-52  11148    9655 

86-36 

61-06 

1931-028 

5- 

219-54  179^26  155-24  126-75  109-77 

99-18 

69-43 

2195-436 

5-5 

278-61  227-48  19700  160-85  139-30  12460 

88-10 

2786-060 

6- 

846-31  282-76  244-88  199  94  17316  154  88  10951 

3463130 

^    6-5 

423-08  345-40  29913  244-23  211-51  189-18  133-77 

4230^262 

7- 

50913  415-70  36001  293-95  25457  22769  16100 

'  5091  322 

1 

XZYlll 


TABLE  ynX— Pabt  2. 


Diameters  of  ftill  Pipes  of  small  diadhairge  and  Iiigh  indiiiaiaoD. 


Diiebazgctu 

FiirdepM«{ 

BMia 

ilii 

enbio  feet  per 

!il  A"" 

Moond. 

100 

150 

200 

800 

I      40O      600    1000 

v^i 

• 

|j*« 

PiMntwitohH.- 

• 

•1 

•28 

•25 

•26 

•29 

•90 

•82 

•86 

•0916 

•2 

•80 

•38 

•86 

•88 

•40 

•42 

•48 

•1S08 

•8 

•86 

•89 

•41 

•44 

•47 

^0 

•67 

•1421 

•4 

•40 

•43 

•46 

•50 

•68 

•56 

•68 

•1594 

•5 

•44 

•47 

•60 

•65 

•58 

•60 

•69 

•1748 

•6 

•47 

•51 

•64 

•59 

•62 

•65 

•76 

•1875     ' 

•7 

•60 

•54 

'  -58 

•62 

•66 

•69 

•79 

•1994 

•8 

•63 

•57 

•61 

•66 

•70 

•78 

•84 

•2104 

•9 

•66 

•60 

•64 

•60 

•78 

77 

•88 

•2215 

!• 

•68 

•63 

•66 

•72 

•76 

•80 

•92 

•2300 

11 

•60 

•65 

•69 

•76 

•79 

•83 

•95 

•2385 

1-2 

•62 

•67 

•71 

•77 

•82 

•86 

•99 

•2474 

1-3 

•64 

•70 

•74 

•80 

•86 

•80 

1-02 

•2556 

1-4 

•66 

•72 

•76 

•82 

•87 

•91 

1^05 

•2681 

1-6 

•68 

•74 

•78 

•86 

•90 

•94 

108 

•2706 

1-6 

•70 

•76 

•80 

•67 

•92 

•96 

1^11 

•2776 

1-7 

•71 

•77 

•82 

•89 

•94 

•99 

1-13 

•2844 

1-8 

•73 

'79 

•84 

•91 

•96 

1^01 

116 

•2910 

1-9 

•76 

•81 

•86 

•93 

•99 

108 

118 

•2973 

2-0 

•76 

•83 

•88 

•95 

1-01 

1-05 

1-21 

•8035 

21 

•78 

•84 

•89 

•97 

l^OS 

1^07 

123 

•3095 

2-2 

•79 

•86 

•91 

•99 

104 

1-09 

1-26 

•8153 

2-3 

•81 

•87 

•93 

1.01 

1^06 

111 

128 

•3209 

2-4, 

•82 

•89 

•94 

1-02 

1^08 

113 

1-30 

•3265 

2-5 

•83 

•90 

•96 

104 

110 

116 

1-32 

•3318 

2-6 

•85 

•92 

•97 

1^05 

112 

117 

1-34 

•8368 

2-7 

•86 

•93 

•99 

107 

113 

1^19 

1-36 

•8422 

2-8 

•87 

•95 

100 

1-09 

116 

1-20 

1-38 

•8472 

2-9 

•88 

•96 

102 

1-10 

117 

1-22 

1-40 

•3521 

30 

•90 

•97 

103 

112 

118 

1^24 

1-42 

•8669 

For  special  cases  modify  ihe  discharge  by  a  co-effident  (c)  before 
appljing  it  to  the  table,  to  find  the  diameter. 


■ 

^K 

3 

r 

^ 

■ 

TABLE 

VIII.-Part  2- 

onlmued. 

1 

itnet«ra  of  full  cylindrical  Sewers,  Drains  ol 

lai^  discburge       ^| 

and  low  inclinatioi 

I 

||i| 

■ 

Fot  Blopca  of  one  in 

^^ 

■ 

500 

1000 

1500  2000    2500 

3000 

4000 

h'^\ 

DiAmetere  in  feet. 

■80 

■92 

■99     1-05     1-10 

1-14 

1-21 

■23 

1«6 

121 

1-31     1-39     1-45 

1-51 

1-59 

•30348 

1-21 

142 

1-54     1C3     1-71 

177 

1-88 

■35692 

1-39 

1-59 

173     183     191 

1-99 

210 

■40045 

1-52 

174 

1-89     2-00     2-09 

217 

230 

■43780 

1-63 

1-87 

203    215    2-25 

234 

2-47 

•47096 

174 

1-99 

2-16    229     2-40 

2-48 

2-63 

■50092 

1-83 

210 

2  28     2  42     2-53 

2-62 

278 

■52840 

1-92 

2-21 

2-39     2-63     2-65 

275 

2-91 

■55389 

200 

2J0 

2-49     2-64    276 

2  87 

S04 

•57773 

2-08 

2-39 

2-59    274    2-87 

2-98 

3-15 

■60018 

215 

2-47 

2'68    2-84    2'97 

3-08 

3-27 

■62144 

222 

2-55 

276    2-93    307 

3'18 

3-37 

•64166 

2-29 

2-63 

285    302    S'le 

328 

3-47 

•66096 

2'36 

271 

2-93    311    3-25 

3-37 

3-57 

•67946 

2-42 

278 

301    319    3-32 

3-46 

3-66 

■69723 

2-48 

2-84 

308    3-27    3-42 

3-54 

3  75 

■71434 

2-53 

2.91 

316    3-34    3-50 

363 

384 

■73086 

2-69 

2-97 

3-22    3-42    3-57 

370 

3!)2 

■74684 

2-64 

3-03 

329    3-49    3-65 

378 

4-00 

76232 

311 

3-57 

3-87     4-10    4-29 

4-45 

471 

■89655 

: 

3-49 

4-00 

4-34    4-60    4-81 

4-99 

5-28 

10059 

3-81 

1'38 

475     5'03     5-26 

5'45 

578 

1^0998 

4-10 

471 

5-11     6-41     5-66 

5-87 

C-21 

1-1830 

4-36 

501 

6-43    575    6-02 

6-24 

661 

1-2582 

4-60 

5-28 

573    6-07    6-35 

6-58 

697 

1-3273 

, 

4-82 

6-51 

600    636    6-65 

6-90 

7-31 

1-3913 

5-03 

578 

6-26     6'64     6-94 

7-20 

7-62 

1-4512 

6-64 

7-62 

8-27    876    9-16 

9-50  10'06 

19149 

7-81 

8-97 

9  72  103O  1077  1116 

11-83 

2-2520 

r  special  cue 

ea,  modify  the  diachiirge  by  a  co-ofEciei 

1 

og 

it  to  the  table,  to  Sad  Uie  duunetar. 

^^ 

I 

TABLE  Vm.-PART  3. 


Sm&ll  Pipes.     Heaila  for  a  len^^  of  100  feet. 


For  dUmetcn  in 

I««t. 

S 

ih 

Fordii. 

chT,.!. 

-083 

■166 

-25 

-333 

-416 

cubic  Utl 

|.-3 

t«rNC«DlL 

(1") 

(2") 

(3") 

m 

(6") 

HI 

Head  of  ntar  in 

fMt. 

•1 

IGl 

5.04 

•664 

-157 

■0616 

■000648 

•2 

645 

20-16 

2-654 

-630 

•2064 

•002592 

■3 

1451 

45-35 

5-972 

1-417 

■4644 

•006832 

■4 

2580 

80-62 

10617 

2-525 

■8256 

■010368 

■5 

4«31 

125-97 

16-589 

3-937 

1-2899 

-0162 

■(> 

5801 

180- .56 

23-888 

5-669 

1-8575 

•023328 

-7 

7900 

246-90 

82-514 

7-716 

2-5283 

•031752 

■8 

10318 

322-48 

42-467 

10-078 

3-3023 

•041472 

■9 

130C1 

408-15 

53-748 

12-754 

4-17;ll 

•05-2488 

10 

llil24 

60389 

66-355 

16-746 

51-598 

•0648 

11 

19510 

609-70 

80-290 

19-053 

6-2433 

•078108 

1-2 

23219 

725-59 

95-551 

22-075 

7-4:»l 

-093312 

1-3 

272.50 

851-56 

112-140 

26-611 

8-7200 

-109512 

1-1 

31004 

987-60 

130-056 

30-863 

10-1132 

•127008 

1'5 

86-280 

1133-74 

149-299 

35429 

11-6095 

■1458 

1-C 

41278 

1289-94 

169-869 

40311 

13-2090 

■165888 

17 

46-599 

1466-22 

191-767 

45-507 

14-9118 

■187272 

1-8 

52213 

iro2-,59 

214-992 

61-018 

10-7177 

■209952 

1-9 

68209 

181902 

239-542 

56-844 

18-6268 

■233928 

2-0 

64497 

2015-54 

265  421 

62-986 

20-6391 

■2592 

21 

71108 

2222-13 

292-627 

69-442 

22-7546 

■286768 

2-2 

78042 

2-13880 

321-160 

70  212 

249733 

■313032 

2-3 

85298 

2005-55 

351-020 

83-299 

2729-52 

■342792 

2-4 

92876 

2902-36 

382-206 

90-099 

29-7203 

•373218 

2-5 

100777 

3149-28 

414-7-20 

08-415 

32-2487 

■4050 

2-13 

109000 

3100-20 

-148-561 

106-410 

34-8801 

■438018 

27 

11754S 

,3073-32 

483-730  114-791 

37-6147 

■47239^2 

2-8 

126415 

3030-46 

520-225 

123-452 

40-4527 

-508032 

2-9 

135005 

4237-67 

558-048 

132-.127 

43-3937 

-64496S     - 

30 

145119 

4^34-96 

597-197 

141-717 

46-4380 

-5832 

For  special  caBCS  modify  the  disohargo  by  a  co-efGcient  (c)  Wore 

a])j)ljiiig  it,  to  fiiiil  tlic  head  nei-cHaary. 


TABLE  Vin.— Part  S— continued. 


Pipes.    Head  for  a  length  of  100  feet. 


XXXI 


For  diameters  la  feet. 

berto 
d»for 
ten. 

rdi»- 

cgaaia 

•5 

•583 

'666 

•76 

•833 

teCMt 

' 

^it 

aeeoad. 

^6'0 

(7-) 

m 

(9-) 

(lO'o 

lit 

Headol  watei 

'  in  feet  and  decimals. 

•1 

•0207 

-0096 

•0049 

-0027 

-0016 

•000648 

•2 

•0829 

•0884 

•0197 

-0107 

•0064 

•002592 

•3 

•1866 

-0863 

-0443 

•0246 

•0145 

•005832 

•4 

•3318 

-1535 

-0787 

-0437 

-0258 

-010368 

•5 

•5184 

•2398 

-1230 

•0683 

-0403 

•0162 

•6 

•7465 

-3454 

•1772 

•0989 

•0580 

•028328 

•7 

10163 

•4701 

-2411 

-1338 

-0790 

•081752 

•8 

1-3271 

•6140 

-3149 

•1748 

•1032 

-041472 

-•9 

1-6796 

•7753 

•3995 

•2212 

•1306 

-052488 

1-0 

20736 

-9594 

•4921 

•2731 

•1612 

•0648 

11 

2-5091 

1-1608 

-5954 

•3304 

-1951 

•078408 

1-2 

2-9860 

1-3815 

'7086 

•3932 

-2322 

•093312 

1-3 

3-5044 

1-6213 

-8316 

•4615 

•2725 

•109512 

1-4 

40643 

1-8804 

•9645 

•5352 

•3160 

•127008 

1-5 

4-6656 

2-1586 

1-1072 

•6144 

-3628 

-1458 

1-6 

5*3084 

2-4560 

1-2597 

•6991 

-4128 

•165888 

1-7 

5-9927 

27726 

1-4221 

•7892 

•4660 

•187272 

1-8 

6-7185 

3-1084 

1-5943 

•8Q47 

•5224 

•209952 

1-9 

7-4857 

3-4633 

1-7764 

•9858 

•5821 

•233928 

20 

8-2944 

3-8375 

19683 

1-0674 

•6450 

•2592 

21 

9-1446 

4-2309 

21701 

1-2042 

•7111 

•285768 

2-2 

10-0362 

4-5377 

2-3816 

1-3216 

•7804 

•313632 

2-3 

10-9693 

60761 

2-6031 

1-4445 

-8530 

-342792 

2-4 

11-9439 

66260 

2-8343 

1-5729 

-9288 

-373248 

2-5 

12-9600 

6-9961 

30755 

1-7067 

10078 

-4050 

2-6 

14-0175 

6-4864 

3-3264 

1-8459 

10900 

-438048 

27 

15-1165 

6-9939 

3-5872 

1-9906 

11755 

•472392 

2-8 

16-2570 

7-6216 

3-8579 

21408 

1-2642 

•508032 

.    2-9 

17-4390 

8-0683 

41883 

2-2965 

1^8561 

•644908 

3-0 

18-6624 

8-6344 

4-4287 

2-4576 

1-4512 

-6832 

For  special  cases  modify  the  discharge  by  a  co-efficient  (e)  before 
fyplying  it^  to  find  the  head  necessary. 

d 


1 

■ 

m 

^B 

—■ 

■ 

i 

TABLE  VIII.— Part  ■i-conlinued. 

1 

L 

jicalSefl 

era  or  Tnnnela,     Head  for  a  length  of  100  feet. 

e-S^fe  . 

IV- 

■ 

For 

«a-g1| 

9m  in 

a  ,-5 .si 

biGC»e4 

3 

4 

5                6 

7 

H»d  of  «ter  in  feet 

1 

■0003 

■00006 

■00002     -000008 

■000004 

■oe 

2 

■OOU 

■00025 

■00008     ■000033 

■000015 

■26 

3 

■0024 

■00057 

.00018    -000075 

•000035 

■58 

4 

•0043 

■00101 

•00033     -000133 

■000062 

I'M 

5 

■0067 

•00158 

■00052    -000208 

•000096 

1'62 

6 

*009(i 

■00228 

■00074    -000300 

■000139 

2-33, 

7 

■0131 

■00310 

■00102     -000408 

■000189 

3-18 

8 

■0167 

■004O5 

•00133     -000533 

■000247 

I'lS 

9 

■0216 

■00513 

■00168    -000675 

■000312 

625 

10 

•0267 

■00633 

.00207    -000833 

■000386 

6-48 

15 

•0600 

■01434 

■00466    -001875 

•000868 

U^-IS 

20 

•1067 

•02531 

■00829     -008333 

■001542 

25-92 

25 

-1667 

•03955 

■01296     -005208 

■002410 

40-50 

SO 

■2-100 

■05695 

■01866    -007500 

-003470 

58^38 

S5 

■3267 

■07752 

■025iO    -010208 

■0O4?23 

79-38 

40 

■4267 

■10132 

-03318     -013333 

■006169 

103-68 

ir, 

-5400 

-12815 

-04199    •016875 

-007875 

13122 

.'.'") 

■6067 

■15823 

■05184    -020833 

-009639 

162-00 

■8067 

■19143 

■06273     -025208 

■011663 

196-02 

-9600 

■22781 

■07465     -030000 

-013880 

233-28 

11267 

■26736 

-08761     -035208 

-016289 

273.78 

1-3067 

■31008 

•10161     -M0833 

■018892 

317-52 

l-MOO 

■35596 

■11664     -046875 

■021C87 

364.50 

^0 

1-6678 

■40500 

•13271     053333 

■024675 

414-72 

85 

V9267 

•45721 

■14982    ■060208 

■027856 

468-18 

90 

•216O0 

•51258 

•16?96     ^067500 

■031230 

524-as 

ns 

24067 

■57112 

■18714     075208 

-034796 

584-82 

2^6667 

•63281 

•20736     083333 

■038555 

648^ 

10-6667 

2^53120 

1^82944     -333333 

-I54221i 

2592^ 

i 

24- 

5-09530 

1-86624     .750000 

■346998 

5S32^ 

,  ■-  -i"!^ 

ml  oiisca, 

nodify  Uie  discbftrgo  by  a  co-efficient  (f)  Ufewt 

Iiljing  It 

to  find  the  head  oecesB&ry. 

^^^M 

^H 

^^^^H 

ZXXIV 


Explanatory  Examplbs  to  Table  Vin.  m 

Example  1.  What  is  the  discharge  of  an  enamelled  3-iiicih  pqM 
haying  a  hydraulic  slope  of  1  in  400 ;  and  what  would  be  its  letst  ftfl 
discharge  when  old,  irrespectively  of  sectional  obstmction  P  a 

By  Table  YIII.,  Part  1,  the  tabular  dischai^  is  "06  cubic  feet  pM 
second  ;  and  by  the  Table  of  co-efficients  (Table  XII.,  Part  3),  for  von 
smooth  sarfaces,  including  smooth  plaster,  and  enamelled  or  gli^m 
pipes,  the  co-efficient  e  for  a  pipe  having  this  slope  and  a  hydrMiKa| 
radius,  which  for  cylindrical  pipes  running  full  is  one-fourth  of  tkl 
diameter,  is  '84,  the  discharge  when  new  is  s=  '84  x  *06  =  "05  cnbiel 
feet  per  second.  I 

If  preferred  in  any  other  unit,  refer  to  Table  XI.,  Part  2,byiii8peek>1 
ing  which  we  find  it  =  18  gallons  per  minute.  I 

When  the  pipe  is  old  its  surface  will  not  be  rougher  than  that  of  | 
ordinary  metal,  and  taking  the  co-efficient  for  metal  with  this  slope 
and  radius  to  l)e  '01,  the  least  discharge  is  =  '61  x  '06  =  '037  cubic 
feet  per  second,  or  14  gallons  per  minute. 

Example  2.  A  masonry  culvert  has  a  diameter  of  42  inches,  audi 
slope  of  1  in  200,  what  is  its  discharge  when  running  fuD  ? 

By  Part  1,  Table  VIII.,  the  tabular  discharge  is  63*63  cubic  feet  per 
second,  and  the  co-efficient  for  this  slope  and  a  hydraulic  radios  of '875 
feet  will  according  to  Table  XII.  be  I'lO;  hence  the  actual  discharge] 
will  be  110  X  63*63  =  70  cubic  feet  per  second.  ' 

Example  3.  What  must  bo  the  diameter  of  a  cast  iron  pipe  to 
discharge  20  cubic  feet  per  second  with  a  slope  of  one  in  500  ? 

By  Part  2,  Table  VIII.,  the  tabular  diameter  will  be  2*64  feet  and 
the  hydraulic  radius  'GG  feet ;  turning  to  the  table  of  co-efficient^ 
(Table  XII.,  Part  3),  we  take  c  =  1*03:  and  assuming  a  modified 

Q 
c 

obtain  a  true  diameter  =  2*62  feet. 


discharge  ~  =  10*4,  and  referring  again  to  Part  2,  Table  VIII.,  we 
c 


Example  4.  What  should  be  the  dimensions  of  an  ovoidal  bridf- 
work  sewer  to  discharge  50  cubic  feet  per  second  with  a  slope  of  1  in 
1,000,  the  sewer  flowing  two-thirds  full  ? 

The  co-efficient  to  modify  the  discharge  through  cylindrical  into 


xxxv 

\i  for  oToidal  seweitt  of  the  usual  type  mnning  iwothirds  faHl  is 

•  35 
lerally  assiimed  to  be  =  ^ctttt?.  =  'S9 ;  bence  tbe  first  modification 
"^  39-27 

discharge  will  be  *89  x  50  =  44*5 :  using  tbis  and  referring  to 

rt  2i  Table  YIII.,  we  get  a  first  approximation  to  a  diameter  of  4*19 

L     Secondly,  referring  to  the  table  of  co-efficients,  Table  XII.,  we 

bain  a  co-efficient  e,  corresponding  to  a  hydranlic  radius  of  1*05  and 

dope  of  '001,  =  1'13 ;  and  modifying  tbe  discbarge  a  second  time 

44*5 
becomea  =  -y;tq  ^  ^^'^  giving*  according  to  Part  2,  Table  VIII., 

I?  feet  for  the  diameter  of  a  cylindrical  sewer.      Hence  the  dimen- 
na  lor  the  corresponding  ovoidal  sewer  will  be 

d     diameter  of  top  circle      =  3*97 

—  diameter  of  bottom  circle  =  1*98 

—  radius  of  each  side  circle    =  5*96 

Sd 

—  depth  of'  sewer  =  5*90 


Example  5.  A  series  of  enamelled  pipes  has  a  total  head  of  80  feet, 
d  consists  of  3600  feet  of  8-inch  pipe,  2100  feet  of  6-inch,  and  600 
Bt  of  5-inch ;  required  the  discharge  and  head  necessary  for  each  pipe. 
Assoxne  any  discharge  as  1  cubic  foot  per  second,  and  obtaining  the 
parate  tabular  heads  due  to  it,  divide  the  total  head  in  the  same 
nportion. 


•4921  X  36  =  17*72 

17*72  X  30  ^  92  =    5*77 

2*0736  X  21  =  43-55 

43*55  X  30  -J-  92  =  14-15 

61598  X     6  =i  30-95 

30 95  X  30  -r  92  =  1008 

Total  =  92*22 

Total  =  30* 

nd  modifying  these  by  the  squares  of  the  suitable  co-efficients,  obtain 
;tnal  heads  for  a  first  approximation. 

5-77  ^  (*95)*  =    6*41  6*41  x  30  -f-  39*22  =    490 

14*15  -f-  (*87)«  =  18*62  18*62  x  30  -r-  3922  =  14*24 

10*08  -f-  (84)*  =  1419  1419  x  30  -f-  39*22  =  10-86 

Total  =  39-22  Total  =  30- 

1    xV'3b 

id  the  discharge  =: — —  =  *57  cubic  feet  per  second  =213  gal- 

>/92 

D8  per  minute. 


KxupLB  6.     A  diBchargfl  of  300  galloaa  per  minnte  is 
tliroagh  a  Banes  of  ordinary  iron  pipes  oonq>oeed  of  800 
7-uicfa,  300  jKtds  of  6-mch,  and  100  yards  of  S-inch 
head  required  for  each  pipe  F 

By  Tables  of  eqairalents  (Part  2,  Table  XL),  300  gsls.  per 
=  *8  cnbio  feet  per  second,  and  the  corresponding  tftbnlar  beads 
Part  3,  Table  YIII.,  can  be  taken  as  a  first  ^proxinMUi<n,  at 
modifying  these  by  the  squares  of  the  snitable  oo-eflSoients  gt*CB  j 
Table  XII.  we  get  the  trne  heads  thus : — 

Length>  Head.  Trae  Heads. 

7  inch    -6140  x  24  =  14-71  14-74  -i-  (-eeV  =  33  50 

6  inch  1-8271  x     9  =  11-94  11-94  -*•  (-eS)'  =  29-85 

5  inch  3-3023  x     3  =    991  9-91  +  (-61)'  =  26'78 

36-59  feet  Total  90*13 : 


XXXVll 


TABLE  IX. 


GKves  velocities  of  discliarge  in  feet  peif  second  for  sluices,  and 
fices,  due  to  various  heads  for  certain  co-efficients,  also  theoretical 
iocities  to  which  any  co-efficient  may  be  applied ;  being  an  applica- 
Ko.  of  the  formula  « 

V  =  m  X  8-026  •H. 

lere  for  orifices  H  ss  depth  of  centre  of  motion  of  orifice. 

THe  same  table  also  applies  to  overfalls,  weirs,  and  notches,  but  in 
is  case  using  the  same  general  formula,  H  is  the  depth  from  still 
ihter  to  sill-level,  and  the  velocities  given  in  the  table  must  be  reduced 
r  one-third  to  obtain  velocities  of  discharge  for  all  sorts  of  overfijls* 

For  values  of  (m)  the  co-efficient,  see  Parts  5  and  6,  Table  XII. 

This  table  can  also  be  used  for  the  converse  purpose. 


HMdiB 

oo-jvFivuun. 

?orut<inJ 

For  ButM 

ForvdMU] 

^sr 

-SE?" 

dm. 

!• 

-9 

8- 

7- 

6- 

6- 

TdgalttM  ol  Hm 

l-n- 

■01 

■80S 

•722 

-642 

-562 

-482 

-401 

-02 

1185 

1-oai 

me 

<7»4 

'681 

■sa 

•08 

1-390 

1-251 

1-112 

1178 

-884 

■M 

M 

i^eos 

l-US 

1-284 

1-123 

-868 

■m 

•05 

r794 

1-615 

'1-435 

1-256 

1-076 

-897 

•06 

1^966 

1-769 

1-573 

1-376 

1-180 

-981 

•07 

2-123 

Kll 

1-698 

1-486 

1-274 

HW 

■08 

2-270 

2043 

1-816 

1-589 

1-362 

1I3S 

■09 

2.108 

2167 

1-926 

1-686 

1-445 

ISM 

■1 

2538 

2-284 

2-030 

1-777 

1-523 

1281 

■2 

3-589 

3230 

2-871 

2-612 

2-153 

1-m 

•3 

4-395 

3-956 

S616 

3-078 

2-637 

2-198 

■i 

6^075 

4-568 

4-060 

3-553 

3-045 

2-53! 

•6 

5^675 

5108 

4-540 

3-973 

3-*)5 

2-887 

•6 

6.210 

5594 

4-973 

4-351 

3-730 

3108 

•7 

6-714 

6-043 

5-371 

4-700 

4-028 

33SS 

■8 

7-178 

6460 

6-742 

5-025 

1-307 

3-569 

•9 

7-613 

6-852 

6-090 

5-329 

4-668 

3801 

1 

8-025 

7-223 

6-420 

5-618 

4-815 

4-OU 

N.B. — For  OTer&llfi,  reduce  the  tabalar  velocity  by  one-third. 


TABLE  IX. 


XXXIX 


1 

■ 

CO-EFFICIBNTS. 

1    Hcftdin 

1        iMi. 

For  wide 

bridge- 

q^enings. 

For  lock 
BluioeB. 

For  special 
weirs. 

• 

For  weirs 
generally. 

For  orifices 
generally. 

For  spedal 
weirs. 

•96 

•84 

•727 

-666 

•62 

-55 

1 

Ve] 

lodties  of  D 

iachaige. 

1       -01 

•770 

•674 

•584 

•536 

•498 

-441 

1       -02 

1-089 

-953 

•825 

•756 

•704 

•624 

•03 

1-334 

1-168 

1^011 

•926 

•862 

-765 

•04 

1-641 

1348 

1-167 

1-069 

•995 

•883 

1      -05 

1-722 

1^507 

1-304 

1-186 

1-112 

•987 

•06 

1-887 

1-651 

1-429 

1-309 

1-219 

1-081 

: 

•07 

2-038 

1-783 

1-543 

1-414 

1-316 

1-169 

•08 

2179 

1907 

1-650 

1-512 

1-407 

1-249 

■ 

•09 

2-311 

2023 

1-751 

1-604 

1-493 

1-324 

•1 

2-436 

2-132 

1-845 

1-690 

1-574 

1-396 

1 

•2 

3-445 

3-014 

2-609 

2-390 

2-225 

1-973 

•3 

4-219 

3-694 

3195 

2-927 

2-725 

2-418 

•4 

4-872 

4-264 

3-689 

3-380 

3-147 

2^792 

•5 

5-448 

4-768 

4-126 

3-780 

3-519 

3121 

•6 

5-968 

5-221 

4^519 

4-140 

3-854 

3-419 

•7 

6-445 

5-640 

4-881 

4-471 

4-163 

3-687 

•8 

6-890 

6-030 

5-218 

4-781 

4-450 

3-948 

; 

•9 

7-308 

6-395 

5-535 

5-070 

4-720 

4-187 

• 
1 

1 

7-704 

6^742 

5-834 

5-345 

4-976 

4-414 

NM, — For  overfallfly  redaco  the  tabular  velocity  by  one-third. 


TABLE  IX.— continued. 


Hetdin 
Ittt. 

OO-IFPICIBNTS. 

Forutml 
.dodtj. 

Poriunw 

For 
Telodtfot 

'"•ET- 

'SSf 

?a> 

1 

-9 

■8 

•7 

■G 

VtlodtiMcf 

tMint. 

1- 

80250 

7223 

6-420 

6-618 

4-815 

4 

1-25 

8-9722 

8-075 

7-178 

6-281 

6-383 

4 

1-5 

9-8286 

8-846 

7863 

6-880 

8-897 

4 

1-75 

10-6101 

9-564 

8-493 

7-«l 

6-370 

6 

2- 

11-8461 

10-214 

9-079 

7-944 

6-809 

fl 

2-25 

12-0375 

10-834 

9-630 

8-426 

7-223 

0 

2-5 

12-6886 

11-420 

10-151 

8-882 

7-613 

6 

2-7r> 

13-3079 

11977 

10-046 

9-316 

7-985 

6 

3- 

13-899? 

12-510 

11-120 

9--30 

8-340 

6 

3-25 

14-4673 

13-0-20 

11-574 

10127 

8-680 

3-5 

15-0134 

13-512 

12-010 

10-509 

9008 

7 

3-75 

15-5403 

13986 

12-432 

10-878 

9-324 

4- 

1005<Xl 

14446 

12-840 

11-235 

9-630 

8 

4-25 

16-5439 

14-890 

13-235 

11-581 

9-926 

8 

4-5 

17-0235 

15-322 

13-019 

11-916 

10-214 

8 

475 

17-4901 

15-741 

13-992 

12243 

10-484 

8 

5- 

179444 

16-150 

14-355 

12-661 

10  767 

8 

5-25 

183876 

16-549 

14-710 

12-871 

11033 

9 

5-5 

18-8203 

16-938 

15-05a 

13-174 

11-292 

9 

675 

19-2433 

17-319 

15-305 

13-470 

11-546 

9 

6- 

19-6572 

17-691 

15-726 

13  700 

11-794 

U 

6-25 

20-0625 

18-057 

16  050 

14044 

12-038 

W 

CU 

20-4598 

18-414 

16-368 

14-322 

12-276 

11 

675 

20-8496 

18-705 

10-680 

14-595 

12-510 

IC 

7- 

21-2322 

19109 

16-986 

14-363 

12-739 

IC 

7-25 

21-6079 

19-447 

17-280 

15-12(J 

12-965 

IC 

7-6 

21-9774 

10-779 

17-582 

15-384 

13-186 

IC 

775 

22  3400 

20-107 

17-873 

15038 

13-404 

11 

8- 

22-6981 

20-428 

18-158 

15-889 

13-619 

11 

N.B.—FoT  overfalls,  i 


e  tUc  tHbulor  velocity  by  one-thii 


■ 

■ 

■ 

n 

r 

^ 

1 

1 

t 

TABLE  lX.^onCi»tted. 

\ 

■ 

CO.EFPICIENTS. 

did 

For  wide 
brid«e- 

openingp. 

For  lock 

For  ■pedal 

For  won 

Fonpeoid 

(W. 

Unices. 

w^. 

eenondl,. 

(^tniiT 

oriBoe*. 

■9l> 

■84 

-727 

-666 

■02 

-55 

7-704 

6741 

5-836 

5-345 

4-975 

4-413 

25 

8-614 

7-537 

6-525 

6-976 

5-662 

4-934 

« 

9-436 

8  256 

7-147 

6-546 

6-109 

5-420 

n 

10-192 

8-918 

7-720 

7-071 

6-5S2 

5-839 

10895 

9-533 

8-253 

7-558 

6-936 

6-241 

«5 

11-556 

10112 

8-754 

8-017 

7-461 

6-621 

so 

12-181 

10-659 

9-227 

8-451 

7-867 

6-978 

■75 

12-776 

11179 

9-678 

8'8fi3 

8  251 

7-319 

13-344 

11-676 

10-108 

9-257 

8-618 

7-645 

■85 

13  889 

12-133 

10-521 

9-685 

8-825 

7-957 

40 

14-413 

12-612 

10-918 

9-999 

9-308 

8-258 

75 

14-919 

13054 

11-301 

10-350 

9-635 

8-547 

15-408 

13-482 

U672 

10-689 

9-951 

8-827 

!5 

15-882 

13-897 

12027 

11-018 

10-257 

9099 

50 

16-3*3 

14-30() 

12-380 

11-338 

10-554 

9-363 

75 

16-800 

14  695 

12-718 

11-661 

10-846 

9-622 

17-227 

15-074 

13-049 

11-952 

11121 

9-865 

SS 

17-652 

15-446 

13-372 

12-247 

11-400 

10113 

m 

18-068 

15-809 

13-686 

12-534 

11-669 

10-351 

75 

18-474 

16-165 

13-994 

12-817 

11-931 

10  584 

18-871 

16-512 

14-295 

13-092 

12188 

10-812 

!5 

iO 

19-260 

16-853 

U-690 

13-362 

12-439 

11-034 

19-642 

17-187 

14-879 

13-627 

12-685 

11-253 

?5 

20-016 

17-514 

15-162 

13-886 

12-927 

11-467 

20-383 

17-835 

15-440 

141*1 

13164 

11-688 

e5 

20-744 

18-151 

13-714 

14-391 

13  402 

11-889 

So 

21-099 

18-4fil 

15-982 

U-637 

13-626 

12-082 

75 

21  M? 

18-767 

16-246 

14-879 

13-851 

12-287 

21-791 

190G7 

16-506 

15-117 

14073 

12-4S4 
1 

I 

i^ 

-for  over 

alls,  reduc 

ethetitbi: 

lUr  veloci 

y  bj  one-t 

bird.      1 

1 

■ 

For  uno* 

-.£" 

■SE?" 

VKtml- 

1 

■» 

•8 

•7 

•6 

•8 

T 

•IsaUHtf 

Kakv. 

8-86 

S3051 

20-746 

18-Ml 

16-185 

13-831 

UW 

860 

S3-397 

21-057 

18717 

16-377 

14«38 

U-M 

8-76 

23789 

21-365 

18-992 

16<17 

M-MS 

u-m 

a 

24-076 

21-668 

19-261 

16-858 

14-445 

12W 

M5 

24'«>8 

21-966 

19-586 

17-086 

14-645 

12»l 

9-50 

24738 

22-261 

19-788 

17316 

14-841 

12-887 

975 

25<159 

22-553 

20iH7 

17-Hl 

15035 

12-5a 

10 

25-378 

22-840 

20302 

17-764 

15-227 

12689 

105 

26005 

23-404 

20-804 

18203 

15-603 

13«B 

11 

26-617 

23  955 

21-293 

18-631 

15-970 

13-306 

11-5 

27-215 

24-403 

21?72 

19-050 

16-329 

13-607 

12 

27-800 

25-020 

22-240 

19-460 

16-680 

13900 

12-5 

28-373 

25-535 

22-698 

19-861 

17024 

14-lM 

13 

28-935 

26-041 

23148 

20-254 

17-361 

14167 

18-5 

29-4*6 

26-545 

23-596 

20-646 

17-697 

14  W 

14 

30-027 

27024 

24021 

21019 

18-016 

15«tS 

1*5 

30-059 

27-603 

24-447 

21-391 

18-335 

15-!» 

15 

31-081 

27-973 

24-864 

21-766 

18-648 

15-HO 

15-5 

31-694 

28-434 

25-275 

22-116 

18-956 

15-7!7 

16 

32-101 

28-891 

25-681 

22-470 

19-261 

16-MO 

16-6 

32-59S 

29  338 

26078 

22-818 

19-655 

16-W 

17 

33-089 

29-780 

26-471 

23-162 

19-853 

16-644 

17-5 

33-572 

30-214 

26-857 

23-500 

20-143 

16-786 

18 

34-048 

30-643 

27-238 

23-833 

20-429 

I7<Si 

lB-5 

34-518 

31-066 

27-614 

24-162 

20-711 

17-SM 

19 

34-981 

31483 

27985 

24-486 

20-988 

17-480 

19-6 

35-438 

31-894 

28-360 

24-806 

.21-283 

17-710 

20 

35-889 

32.300 

29-711 

25-122 

21-583 

17-9M 

y.B. — For  over&llB,  reduce  the  btbulor  velooitj  faj  ono-third. 


■ 

■ 

■ 

■ 

D 

r 

■^ 

1 

HBI 

1 

r 

r 

r 

TABLE  IX.—eontimed. 

4 

CO-EFFIcrENTS.                                          ^ 

1 

din 

For  wUe 
briJg*- 
opemnp. 

Porlock 

For  .pcciol 

For  vein 

or  oriliFei 

Fot«pwi«I 

*■ 

Slnieei. 

■ndra. 

Eenemlly. 

gtnemlly. 

TOn. 

■96 

-84 

-727 

•J66 

■62 

■55 

V 

docities  of 

DbcLanse. 

iS 

22129 

19-362 

16-762 

15-352 

14-292 

12-677 

50 

22-461 

19-654 

17014 

15-582 

14-506 

12-867 

22-789 

19941 

17-263 

15-810 

14-718 

13-056 

2!{112 

20-2-23 

17  508 

16-034 

14-927 

13-242 

25 

23*J1 

20'502 

17-749 

16-256 

15133 

13-424 

50 

23-746 

20-778 

17-987 

16-473 

15-336 

13-604 

24056 

28-049 

88-223 

16-689 

15-536 

13-782 

24-363 

21-317 

18-455 

16-902 

15' 734 

13-958 

fi 

24-964 

21-844 

18-910 

17-112 

16-123 

14-302 

25-562 

22-358 

19  355 

17-727 

16-502 

14-639 

>5 

2«126 

22-860 

19-791 

18-125 

16-873 

14-968 

26-688 

23-352 

20-216 

18-515 

17-236 

15-290 

27-238 

23-834 

20633 

18-897 

17-591 

15-605 

27778 

24-306 

21042 

19-271 

17-940 

15  914 

■£ 

28-307 

24-769 

21-442 

19-637 

18-287 

16-222 

28-826 

25-223 

21-836 

19-998 

18-617 

16  614 

■5 

29-337 

25-670 

22-222 

20-352 

18946 

16-807 

29-838 

26-108 

22-602 

20-700 

19-270 

17-094 

B5 

30-331 

26-540 

22-976 

21042 

19-588 

17-377 

i 

30-817 

26-965 

23344 

21-379 

19-903 

17-655 

1'5 

31-294 

27-383 

23-706 

21711 

20-207 

17-929 

' 

31-765 

27-794 

24-062 

22  037 

20515 

18-198 

■E 

32  229 

28-200 

24-413 

22-358 

20-815 

18465 

32-686 

28-600 

24-760 

22-676 

21-110 

18-726 

■5 

83-137 

28-995 

25-101 

22-988 

21-391 

16-985 

33-582 

29-384 

25-438 

23-298 

21-688 

19-239 

•5 

34  021 

29-768 

25-771 

23  602 

21991 

19-491 

" 

34-454 

30147 

26  091 

23  902 

22-251 

19-739 

VJI. 

^jffl^W 

ce  the  to 

jidar  velw 

itjbjron 

B-third. 

1 

^ 

OO-SPFIGHHTB. 


^-ar 


^sc?" 


20-5 

21 

21-5 


27-5 

26 

28-5 

20 

29-5 

SO 

30-5 

81 

31-5 


3i 
31-5 


40-525 

40-921 
41-312 

41-roo 

42-084 
42-405 
42-843 
43-216 
43-588 
43-956 


44-320 
44-6S2 

45-041 
45-397 
45-751 
46-101 
46-449 
46-794 
47-137 
47-478 


32-702 
33-098 
33-490 
33-877 
34-260 
84-647 
36-012 
35-383 
35-750 
36-113 

36-472 
36'379 
37-180 
37-530 
37-875 
38-218 
38-558 
38-890 
39-229 


40213 

40'537 
40-857 
41-176 
41-491 
41-804 
42114 
42  423 
42-730 


29-768 
80-112 
SO-458 

30-797 
31122 
31-452 
31-778 
32-100 


32-420 
32737 
33-049 
33-380 
33-G67 
33  972 
34-275 
34-569 
34-870 
35-164 


37159 
37-435 
37-709 
37-982 


25-489 

21-801 

18-168 

85743 

22-066 

18-M 

26-047 

22-327 

18«ll 

26-848 

22-685 

isao 

26-646 

22-840 

10681 

26-943 

23-098 

1»8« 

27-232 

23-342 

1M!1 

27-520 

23-589 

19-657 

27-806 

23-834 

19-861 

28-088 

24-075 

2O061 

28-367 

24-315 

20-26! 

28-644 

24-553 

2O460 

28-918 

24  787 

20-656 

29-190 

25O20 

2OB50 

29-458 

25-250 

sum 

29-725 

25-479 

21-8S! 

29-990 

25-706 

21-4!1 

30-248 

25-927 

21-606 

30-511 

26-153 

21-7M 

80-779 

26-374 

21-978 

81-024 

26-692 

22-160 

81-277 

26-809 

22-340 

31-628 

27025 

2!-5!0 

31-778 

27-238 

22-681 

32  025 

27-451 

22-87S 

82-270 

27-660 

23-050 

32-514 

27-869 

23-SS4 

32-756 

28076 

23-387 

32  996 

28-282 

23-568 

33-234 

28-487 

23-739 

/f.B.—For  oreifaUs,  reduce  ttio  toV«i.\B.T  ^elwatj  by  one-Uiird. 


Uf 

^M 

■ 

1 

> 

TABLE  JX.— continued. 

1 

CO-BFFICIEKK. 

Par  wide 

n          biidee- 

P«rl«ck 

PofipeeUI 

Per  Tdre 

Pot  orifloee 

FortpeoM 

OEffioiogi. 

Blaieos. 

weiw. 

genemllj. 

gen'tftUj. 

Tfrin. 

•96 

-84 

■727 

■see 

■62 

■55 

Velocities  it  Dieoherge. 

i        34-882 

30-522 

26-423 

24-199 

22-528 

19-985 

35-305 

30892 

26-737 

21493 

22-701 

20-227 

35723 

31-257 

27-060 

24783 

22-971 

20-465 

36-136 

31-619 

27-373 

25069 

23-337 

20702 

36-544 

31-976 

27-682 

25353 

23-601 

20-936 

36-94S 

32  329 

27-988 

25633 

23-868 

21-228 

37-347 

32-679 

28-291 

25-910 

24-120 

21-390 

87-743 

33-025 

28-590 

26-184 

24-375 

21-623 

38-134 

33.367 

28-886 

26-455 

24-628 

21847 

38-521 

33-706 

29-180 

23-?2* 

24-878 

22069 

38-904 

34-041 

29-470 

26-990 

25125 

22-288 

39-2^ 

34-373 

29-767 

27-253 

25-371 

22-506 

39-660 

34-702 

30  012 

27-514 

25-613 

22-722 

40-032 

35-028 

30-324 

27-761 

25-854 

22935 

40-401 

35-351 

30-604 

28-028 

26092 

23146 

40-767 

35-671 

30-881 

28-282 

2G-328 

23-355 

41-129 

35-988 

31-155 

28-533 

26-563 

23-563 

41-488 

36-302 

31-427 

28-782 

20-891 

23-766 

41-844 

36614 

31-697 

29-029 

27024 

23-973 

42-197 

36-923 

31-956 

29  274 

27-253 

24-170 

42-548 

37-229 

32-230 

29-51? 

27-478 

24-376 

42-895 

37-533 

32-493 

29-758 

27-703 

24-574 

43-240 

87-835 

32-754 

29-997 

27-925 

24-772 

48-581 

38-134 

33-013 

30-234 

28-146 

24-968 

43-920 

38-430 

33-270 

30-470 

28-365 

25162 

44257 

38-725 

33-525 

30-703 

28-582 

25-355 

44-591 

39-017 

33-778 

30-935 

28-798 

25-546 

41-923 

39-307 

34-029 

31165 

29-012 

25-737 

45-252 

39.595 

31-278 

31-393 

29-225 

25-925 

45-678 

39-881 

34-526 

31-620 

29-436 

26-113 

-For  over 

fiiUa,  reduce  tlio  tabjJ^  X^kwlj^hj  QQS 

"^^fei. 

^M 



i^^ 

xlvi 


Explanatory  Examplis  to  Tabli  IX. 

« 

Example  1. 

A.n  orifice  6  inclies  in  diameter,  haa  its  oeniare  imder  »  head  of 
feet  of  water ;  required  its  disobarge. 

For  a  circular  orifice  using  *62  for  a  co-eflioient,  the  vekxUf 
discharge  is  11*121  feet  per  second,  and  tlie  sectional  area, 
to  Part  7,  Table  XIL,  being  "1963,  tbe  dischaige  =s  '1963  x  11*121 
2*1836  cubic  feet  per  second. 


Example  2. 

A  rectangular  orifice  is  8  inches  broad  and  4  inches  deep,  and  ii 
under  a  head  of  4  feet  3  inches ;  required  its  discharge. 

Since  the  breadth  is  greater  than  the  depth,  a  special  co-efficient  ii 
required  (See  Co-efficients  in  Table  Xll.). 

jr       H       4-25       „  .     ^  ,  D        -33        ^ 

Here  —  =     -^^  —  7  approximately,  and  j^  =  rgg  =  -5. 

These  require  a  co-efficient  *612,  which  must  hence  be  applied  to  the 
tabular  discharge  for  natural  yelocitj  due  to  the  co-efficient  1*00 .'. 
the  discharge  =  16*544  X  *22  X  *612  =  2*227  cubic  feet  per  second. 


Example  3. 

The  fall  of  water  through  a  bridge,  having  a  sectional  area  of  500 
square  feet,  is  *05  feet ;  required  the  discharge. 

Take  *96  as  a  co-efficient  for  a  wide  opening,  and  we  get  the 
discharge  =  1*758  X  500  =  879  cubic  feet  per  second. 


Example  4i. 

The  difierence  of  level  between  the  upper  and  lower  ponds  of  a 
canal  is  6  feet,  and  the  communicating  sluice  is  2  feet  square; 
required  its  discharge. 


dng  the  co-efficient  *84  and  height  6; 

lischarge  is  16*512  x.  4  =s  66*048  cubic  feet  per  second, 

le  efiectiye  head  gradually  decreasing,  the  mean  discharge  due  to 

eight  is  33*024  cubic  feet  per  second. 

the  lock  is  60  long  and  20  broad,  it  will  hold  7,200  cubic  feet  of 

r,  and  at  the  above  rate  will  be  filled  in  218  seconds,  or  about 

t  minutes  and  a  half. 


AMPLB  5.    Required  the  diameter  of  a  vertical  pipe  to  discharge  2 
:  feet  per  second  from  a  reservoir  under  a  head  of  30  feet. 
ing  the  co-efficient  *84,  we  obtain  from  the  Table  36*923  as  velo- 
>f  discharge. 

2* 
e  section  will  then  =  ^^ -^^  =  05417  square  feet, 

i  will  require  a  diameter  of  3iy  or  practically,  4  inches. 


AMPLi  6.    Required  the  length  of  a  weir  to  discharge  5696  cubic 
yer  second,  at  a  depth  or  head  from  still  water  to  sill  of  4  feet. 
Ith  a  co-efficient  '666^  the  tabular  velocity  of  discharge  is  10*689, 
which  one-third  has  to  be  deducted  to  obtain  the  mean  velocity 
icharge  over  a  weir* 

noe  V  =  10*689  —  3*563  =  7*126  feet  per  second, 

he  section   =  -k-ttt^  =  nearly  800  feet ; 

7*126 

)  the  length  =  ^^^^  =  nearly  200  feet. 

uiPLE  7.    A  river  passes  over  a  drowned  weir  :  the  upper  level 

iter  is  3  feet  above  the  lower  level,  and  is  4  feet  above  the  sill  of 

eir,  which  is  100  feet  long ;  required  the  discharge. 

B  upper  portion  may  be  considered  as  a  simple  overfall  with  a 

H  =^3,  and  with  a  co-efficient  *666 :  the  lower  portion  as  an 

),  with  the  same  head,  but  a  co-efficient  '62. 

i^ording  to  the  Table  the  velocity  of  discharge  for  the  one  is 

—  3*086  =  6*171  feet  per  second ;  and  that  for  the  other  is 

feet  per  second.     Hence  the  discharge  : 

=;  50  (6-171  X  3  +  8-618  x  1)  =  50  x  27131 
=s  1356  cubic  feet  per  second. 

e 


EuifPLX  8.    It  is  required  to  raiM  ttm  vppet  portion  of  i 
feet  by  meuu  of  a  drowned  wedr  across  it.    The  rivw  haa  » < 
of  812  onbiofeet  per  second,  and  a  width  of  70  feet;  wfaftt  most  be  j 
height  of  the  dam — let,  neglecting  velocity  of  approach  ;  2nd,  i 
it  at  2'5  feet  per  second  F 
1st.    Let  d  =  depth  of  sill  of  dam  below  Uie  lower  water. 
Then  V  =  velocity  of  npper  portion,  or  tme  over&ll ; 
^  i  velocity  for  head  1'6  to  a  co-efficient  "GGG  ; 
=  4-364  feet  per  second  (&om  Table) ; 
and  V  IE  velocity  of  lower  portion  of  orifice ; 

=  velocity  for  a  head  1-6  to  a  co-efficient  *62  ; 
x=  G'109  feet  per  second  (from  Table). 
Then  the  totu]  discharge  812,  is  as  in  the  last  Evamplg 

=  70JV  X  1-5  +  V  X  rfj  =70(6-646  + Jx  6-109) 
hence  tf  =  1^  = -827  feet 


2nd.     Taking  into  considoration  fhe  velocity  ^approach  and 
fying  the  co-efficients  {vide  Tabic  XII.)  accordingly. 

The  head  due  to  velocity  of  approach  2-5  feet  per  aecoDd,  for  a  <fr 
efficient  -8,  is  from  Table  IX.  about  -15  feet. 

Hence  the  modified  co-efficient  for  overfall  will  be 

=  -eecjci-)^  — (-1)*]  =-745 

and  the  modified  co-efficient  for  orifice  will  be 

«»  V    [  1  +  ^  [  =  mV  1-1  =  -62  X  l-04i9  =  -648 

llaking  nse  of  these  two  co-efficients  instead  of  -GGG  and  -63  aaii 
the  first  portion  of  the  Example,  wo  obtain  other  valnes. 

V  =  4-891 ;  and  V  '=  6-385 
hence?!^  =11-6  =  1-6  V  +  rfV  =  7-S41  +  d  x   6-385 

*''^''=SS  =  -667  feet. 


kHx 


BENDS  AND  OBSTRUCTIONS. 


TABLE  X. 

PuET  L— Giving  loss  of  h^i>d  in  feet  dne  to  bends  in  pipes  corre- 
io  certain  discharges. — (Weisbach  formnla.) 

PiBT  IL— GUving  loss  of  head  dne  to  bends  in  rivers  corresponding 
\kk  certain  velocities.— (Mississippi  formnla.) 


Past  HI. — Gtiving  approximate  rise  of  water  in  feet  dne  to 
<4»tniciions,  bridges,  weirs,  &o.: — (the  whole  section  of  water 
Vein^    s=  l)y  and  corresponding  to   certain  velocities.  —  (Dnbnat 


ti 


i   s 


>      ■£       -I 


rH  rH  r^  l-l  ©I      nOvn^H 


? 

1 

i 

i 

i 

l^li|||jl 

1    * 

2Sgg||g|g||| 

isisiitii 

'  ■> 

iiiiiiiij 

J 

Ii3ssi|y| 

s 

3:f5gsa?gg?|| 

igiiiiiii 

1^ 

Hssspiigjui 

SSSgSgxfeS 

iSssssEii 

- 

T- 

IssSssSss 

5 

-s^sSSiii 

3 

SS?S33?|g?jg 

:^  ?5t?!i^'^^i 

.M 

^=-.  .  ?««^=.?«;'S 

MMW-*■^^6^.4^ 

«-! 

Sss??,l¥s?=j 

22S^Sg§*. 

I 

CiTCCffcCvircccr 

li 


TABLE  X.— Parts  2  and  3. 
Part  2. — Bends  of  Bivers.     (Mississippi  formula.) 


For  deflections  of 


10^ 
n 


20^ 
n 


30^ 


60° 
2n 


90° 
3n 


180' 
6d 


Lofls  of  head  in  feet. 


1 
2 
3 

4 
5 
6 
7 
8 
9 
10 


_ 


•0006 
•0025 
•0056 
•0099 
•0155 
•0224 
•0305 
0398 
•0503 
0622 


•0009 

•0019 

•0037 

•0096 

•0037 

•0075 

•0149 

•0234 

•0081 

•0168 

•0336 

•0503 

•0149 

•0298 

•0597 

•0895 

•0233 

•0466 

•0933 

•1399 

•0335 

•0671 

•1343 

•2014 

•0457 

•0914 

•1827 

•2741 

•0596 

•1194 

•2387 

•3581 

•0755 

•1511 

•3021 

•4532 

•0933 

•1865 

•3730 

•5592 

•0112 
•0448 
•1007 
•1790 
•2798 
•4028 
•5483 
•7162 
•9064 
11190 


Part  3.«— Obstmctioiis  (Dabnat  formnla)  when  the  hydraulic 

slope  is  less  than  '001. 


For  percentages  of  obstruction  to  whole  channel  section. 
•1               -2               -3              ^4               -5                  -6 

1 

•004 

Rise 
•009 

resulting  ii 
•018 

1  feet. 
•031 

•051 

•089 

2 

•015 

•034 

•070 

•120 

•203 

•355 

3 

•035 

•085 

•158 

•270 

•456 

-798 

4 

•062 

•150 

•282 

•480 

•811 

1-419 

5 

•097 

•236 

•439 

•752 

1-267 

2-218 

6 

•140 

•341 

•634 

1080 

1-824 

3193 

7 

•191 

•463 

•862 

1^470 

2-484 

4-346 

8 

•249 

•602 

1126 

1-920 

3-245 

5-677 

9 

•315 

•766 

1-426 

2  430 

4-107 

7-185 

10 

•389 

•956 

1-758 

3-008 

5-070 

8^872 

BXPLAHATOKT  EXAM  PLH  TO  TaSU  X. 

EXAKP!.!  1.     A  BsrieB  of  pipes  h&re  to  diadurge   5  gi^na 
aeoond;  there  are    1  Lendii  in  the   portu>n   (hat   oonsiBts  of  S>ii 
pipe,  i  in  tliat  of  6-inoli  pipe,  and  8  in  Qiat  of  7-inch  pipe ; 
the  total  loss  of  head  on  acoonnt  of  these  bendiF 

From  Table  XL     5  galloUB  per  aeoond  a  '8  cubic  fiset  par  > 
and  taldng  the  heads  aepftratel;  from  Table  X. 

7  bends  in  S  inch  pre  7  x   016  t=  -3IS 
4     „     „  6    „      „    4  X  -080  -e  -120 

8  „     „   7    „      „    8  X  -010  =  -080 

Total  low  of  heed  =  -515 
The  head  on  the  pipes  moat  therefore  not  only  ba  snlBcieDt  to  ft 
*8  cnbic  feet  per  second  throogh  the  pipes  onder  ordinary  conditM 
bat  mnat  also  be  increased  by  '516  on  accoont  of  bends. 

EuvPLB  2.  A  river  has  one  bend  of  20°,  two  of  30°,  and  one  ol 
90°,  what  is  the  total  loaa  of  head  expended  in  overcoming  these  bends^ 
when  the  velocity  ia  5  feet  per  Beoond? 

From  Part  2,  Table  XH. 

1  bend  of  20°  gives  I  X  -0233 


,  90°    „      1  X  -1399  = 
Total  head  expended  = 


■1399 
-2564  feet. 


EUKPLI  3.  A  river  having  a  hydranlio  slope  lees  than  -001  has  ila 
section  obstrncted  by  the  piers  and  abntments  of  a  bridge  to  the  extent 
of  one-fifth,  the  normal  velocity  being  3'5  feet  per  seoond,  what  is  ttn 
rise  canaed  by  the  bridge? 

By  Part  3,  Table  XI.,  the  rise  will  be  -12  feet. 

Jf.J?. — For  rivers    having   steeper  gmdiente,    apply   a   coiroctioi 
the  formula  given  in  the  text. 


liii 


TABLE  XT. 


TABLE   OF   EQUIVALENTS. 


Part  1.- 

2.- 
3.- 
4.- 
6. 


Equivalent  supply  from  total  qnan titles. 
-Equivalent  discharges. 
Equivalent  velocities. 
Equal  discharging  channels. 
-Conversion  tables  for  English  measures. 
6. — Conversion  tables  for  metrical  measurcFi. 


TABLE   XI.— Part  ! 
Bqoirmlent  Bvpfdj. 
Continnoiu  n^lp]7  in  onlnc  £wt  per  win  will  inlo  total  % 


■^rffi"- 

a»ii._.vrtTi. 

Mkl^mmmd. 

FwS 

BWDtlw. 

ForS 

■«« 

JSi 

9w» 

IteJl  . 

315  360 

•06 

■04 

■02 

■CIS 

■018 

■01 

630  720 

■12 

■08 

■04 

■oao 

■026 

■« 

916  080 

■18 

■12 

■06 

■045 

■0« 

■03 

1261440 

■24 

■16 

■08 

■060 

■053 

■04 

1576  800 

■30 

■20 

■10 

■075 

■066 

■05 

1892  160 

■36 

■24 

■12 

■090 

■080 

■06 

2  207  520 

■42 

■28 

■14 

■105 

■093 

■07 

2  522  880 

■48 

■32 

■16 

■120 

■106 

•08 

2  833  240 

■54 

■36 

■18 

■135 

■120 

•09 

1  million 

■1903 

■1268 

■0634 

■0476 

■0423 

•031710 

2miUioiifl 

■3805 

■2537 

■1268 

■0851 

■0846 

•O63430 

3        „ 

■5708 

■3806 

■1903 

■1427 

■1268 

•095129 

4        » 

■7610 

■5074 

■2637 

•1902 

■1691 

•126839 

5        ■• 

•9613 

■6342 

■3171 

■2378 

■2114 

■15854S 

6        „ 

11416 

■7610 

■3805 

■2854 

■2537 

■190249 

7 

r3318 

■8879 

■4439 

■3119 

■2960 

■221969 

8        „ 

1-5221 

1^0147 

■6074 

■3406 

■3382 

■25S678 

9 

1-7123 

1^1416 

■5708 

■4280 

■3805 

■285388 

10 

19026 

1^268d 

■6342 

■4756 

■4228 

■317098 

TABLE  XI.— Part  l—eontinued. 


Equivalent  Supply. 


ions  supply  in  cubio  feet  per  second  throughout  a  month  that 
.  equivalent  to  a  certain  number  of  waterings  in  a  month. 


ita 
at 

iter- 

to 

re. 

feet 

K) 
10 
K) 
K) 
K) 
K) 
K) 
X) 
K) 
X) 

k) 

'6 
L2 

t8 
^4 
SO 
'>6 
)2 
>8 
>4 


At  30 

wmterings 

per  month. 


At  15 
waterings 
per  month. 


At  10 
waterings 
per  month. 


At4 
waterings 


At  2 
waterings 


per  month,  i  per  month. 


Atl 
watering 
per  month. 


•1157 
•1041 
•0926 
•0810 
•0694 
•0579 
•0463 
•0347 
•0231 
•0116 

•1 

i  -09 
•08 
•07 
•06 
•05 
.•04 
•03 
•02 
•01 


Monthly 
0579 

0520 
0463 
0405 
0347 
0289 
0231 
0173 
0116 
0058 

050 
045 
040 
035 
030 
025 
020 
015 
010 
005 


snpply  in 

•0386 

•0347 

•0309 

•0271 

•0231 

•0193 

•0154 

•0116 

•0077 

•0039 

•088 
•030 
•027 
023 
•020 
•016 
•013 
•010 
•007 
•003 


cobic  feet  per  second. 


•0154 

•0077 

•0139 

•0069 

•0123 

•0062 

•0108 

•0054 

•0092 

•00^6 

•0077 

•0039 

•0062 

•0031 

•0046 

•0023 

•0031 

•0015 

•0015 

•0008 

•013 

•0066 

•012     • 

•0060 

•Oil 

•0054 

•009 

0046 

•008 

•0040 

•006 

•0032 

•005 

•0026 

•004 

•0020 

•003 

•0014 

•001     . 

•0007 

•0039 
•0035 
•0031 
•0027 
•0023 
•0019 
•0015 
•0011 
•0008 
•0004 

•0033 
•0030 
•0027 
•0023 
•0020 
•0016 
•0013 
.0010 
•0007 
•0008 


N.B. — In  this  table  a  month  of  30  days  is  assumed. 


TABLE  XI.— pABt  ^-Mttinued. 

Eqairalent  Dischu^es. 

per  second,  p«r  minnte,  nnd  per  day,  into  Cabio  feet  per    ' 
second,  per  minnte,  and  per  day. 


?cond. 

P.t  minnU. 

Per  day  o(  24  honrt. 

\ 

Cabie  ft. 

Oallaiu. 

Cabio  ft. 

(Hllwu. 

CoHctMrt. 

-01 

6 

-06 

8640 

1385 

•03 

12 

1-92 

17280 

2772 

■05 

18 

2-88 

25020 

4158 

•06 

24 

3-84 

34360 

5543 

■08 

30 

4-80 

43200 

6929 

■09 

36 

6-76 

51840 

8315 

•11 

42 

6-72 

60480 

9701 

■13 

48 

7-68 

69120 

11087 

•14 

54 

8-64 

77760 

12473 

■16 

60 

9-62 

86400 

13868 

i 

■03 

10 

1-60 

14400 

2310 

1 

■05 

20 

3-21 

28800 

4619 

■08 

30 

4-81 

43200 

6029 

5 

■u 

40 

6-42 

57600 

0230 

i 

■14 

SO 

8-02 

72000 

11S40 

■16 

CO 

9-62 

86400 

13858 

■10 

70 

11-23 

100800 

16168 

i 

-21 

80 

12-83 

115200 

18478 

■24 

90 

14-44 

129C00 

20788 

3 

■26 

100 

16-04 

144000 

23097 

■186 

69-4 

111-4 

100000 

16040 

■371 

115-7 

222-8 

200000 

32079 

■557 

208-3 

334-2 

300000 

48110 

■742 

277-7 

445-6 

400000 

64150 

■028 

346-8 

556-9 

500000 

80199 

1114 

416-6 

6673 

60OOOO 

96230 

1200 

486- 

779-7 

700000 

112278 

1-485 

555-5 

89M 

800000 

12S318 

1670 

624-0 

1002-5 

000000 

144358 

Ms5t; 

604-t 

U13-0 

I  miilioii 

10031)8 

1 

^Jl 

■ 

■ 

■ 

1 

Iviii 

1 

TABLE   X 

.— PaiiT  3. 

V 

Equivalent  Velocities  and  Heada  for  Natnral  Vdocitiee. 

Mcond. 

PmI 

mlnDtc 

UllH  per      hwd  of 
honr.            w»t«r. 

Feet  ptr 

Fert 

MiJ«p«r 
hour. 

ha 

1 

60 

•6818         -016 

35 

210 

2  38ti6 

■n 

1-1 

615 

■7500          Olit 

3-6 

216 

•20 

lU 

72 

■8181          0-23 

37 

222 

"21 

1-3 

78 

•88C3         ■0215 

38 

228 

■2-2 

14 

84 

■9646       an 

39 

234 

■23 

1-5 

90 

i-oaas      036 

4 

240 

2-7264 

"25 

1-6 

ee 

■040 

41 

246 

■26 

1-7 

102 

■045 

4-2 

252 

■27 

1-8 

108 

■051 

43 

25S 

■2B 

19 

114 

■0511 

i-i 

264 

■30 

2 

120 

1-301         ■0(13 

4-5 

270 

3-0672 

-31 

21 

12(J 

■069 

4-6 

270 

■33 

2-2 

132 

■076 

i-7 

282 

■w 

2-3 

138 

•088 

48 

288 

•3E 

2-4 

144 

-092 

4*9 

294 

■37 

2-6 

ISO 

1-70G         -098 

^ 

300 

3-4091 

■3i 

20 

ISO 

•103 

51 

30« 

■4i 

2-7 

162 

■115 

5'2 

312 

-4£ 

2-8 

ICS 

■124 

5-3 

318 

-44 

2-9 

174 

■131 

5-4 

324 

■4! 

3 

180 

2  048         ■14.1 

5-5 

330 

3-7500 

■4; 

81 

180 

■151 

5-6 

836 

■41 

3-2 

192 

■IGO 

5-7 

342 

•a 

3-3 

198 

•170 

58 

348 

■5: 

34 

204 

■180 

5  9 

854 

•5. 

3-5 

210 

23866       191 

6- 

380 

4089 

■51 

lix 


T^BLE  XI.— Paw  B-^eontinued. 


Feet 

CoRBdg. 

Feet 

Comdg. 

'Miper 

p«r 

Miles  per 

heed  of 

Feet  per       per 

Miles  per 

head  of 

■oand. 

mimitt. 

hour. 

water. 

■eooincL 

minute. 

hour. 

water. 

61 

366 

•581 

9^2 

552 

1-324 

6-2 

372 

•603 

9-4 

564 

1-380 

63 

378 

•620 

9-6 

576 

1-460 

6-4 

384 

•640 

9-8 

588 

1-500 

6-5 

390 

4*2045 

•660 

10 

600 

6-818 

1-564 

6-6 

396 

•680 

10-2 

612 

1-624 

6-7 

402 

•701 

10-4 

624 

1-644 

6-8 

408 

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TABLE  XI.— Put 


MMturet  t^  Water  S^fptf, 


A  nlorinK  <n 
CDbic  fcM  per 

A  w«t«rin|  ta 
cntnc  in«t«  p«r 

'-:b- 

nlBcfMt|« 

10000 

= 

700 

1000 

= 

I4SB« 

9000 

= 

630 

goo 

K 

128SS 

8000 

= 

660 

800 

= 

114U 

7000 

x=. 

400 

TOO 

= 

9998 

6000 

:b 

420 

600 

E= 

eses 

5000 

as 

350 

800 

B> 

na 

4000 

= 

280 

400 

s 

57U 

3000 

cs 

210 

800 

B 

<SSi 

2000 

C3 

140 

800 

= 

S8M 

1000 

= 

70 

100 

= 

1488 

A  iipplj  in  litre*       A  aappl;  in  eobte 
per  Kcood  p«r        feet  per  Beeond  per 

hmtkre  of  >ere  of 


200 
1-60 
100 


•02856 
-02142 
•01428 
■01021 
■00714 
■00357 


A  nopplT  in  cnWc      A  mpplj "» !*• 
feet  i>er  •eoond  per       per  »e™J  f" 
■ere  of  hMtMti' 


1  litre  per  second  per  bect&re  i=  a  duty  of  70  acres  per  oniric  W 
per  second. 

■01  cnbic  feet  per  second  per  acre  =  a  dnty  of  100  acrei  pw  ^ 
foot  per  iecond. 


A  hectare  ia  eqoal  to  10  000  square  metres. 


A  litre  is  equal  to  ■■ 


of  a  cnbic  metre- 


Ixvii 


TABLE  XL— Paet  6— wn^tnwtfi 
Measures  of  Pressure. 


1 
^nare  inch  into  kilogrunmea 

Kilogrammes 

per  square  centimetre 

ler  square  oentimetro. 

into  lbs. 

per  square  inch. 

•0703 

1 

14-237 

•1406               1 

2 

28-475 

•2109 

3 

42-713 

•2812 

4 

56-950 

•3515 

5 

71-187 

•4218 

6 

85-426 

•4921 

7 

99-663 

I                     -5624 

8 

113901 

)                      •6327 

9 

128-138 

3                       7023 

10 

142-375 

Measures  of  Heat, 


^ 

• 

• 

• 

^ 

• 

^ 

!s 

1 

5 

1 

a 
c 

s 

t3 

S 

^3 

s 

•fj 

2 

£ 

1 

1 

a 

6 

1 

1 

^ 

S2? 

200 

680 

25« 

770 

30° 

86° 

36-5 

20-5 

68-9 

25-5 

77-9 

30-5 

86-9 

41 

21 

69-8 

26 

78-8 

31 

87-8 

45-5 

21-5 

70-7 

26-5 

79-7 

31-5 

887 

50 

22 

71-6 

27 

80-6 

32 

89-6 

►       54-5 

225 

72-5 

27-5 

81-5 

32-5 

90-5 

59 

23 

73-4 

28 

82-4 

33 

91-4 

►       63-5 

23-5 

74-3 

285 

83-3 

33-5 

92-3 

68 

24 

75-2 

29 

84-2 

34 

93-2 

24-5 

761 

29-5 

85-1 

34-5 

94-1 

95" 

40° 

104O 

45« 

113° 

50O 

122° 

^       95-9 

40-5 

104-9 

45-5 

113-9 

55 

131 

96-8 

41 

105-8 

46 

114-8 

00 

140 

97-7 

41-5 

106-7 

465 

115-7 

65 

149 

98-6 

42 

107-6 

47 

116-6 

70 

158 

99-5 

42-5 

108-5 

47-5 

117-5 

75 

167 

100-4 

43 

109-4 

48 

118-4 

80 

176 

101-8 

435 

110-3 

48-5 

119-3 

85 

185 

102-2 

44 

111-2 

49 

120-2 

90 

194 

103-1 

44-5 

112-1 

49-5 

121-1 

100 

212° 

/ 

\ 

\ 


Ixviii 


TABLE  XIL 


Paht  1. — Co-efficients  of  fluid  friction. 


»» 


if 


>> 


»> 


*i 


2. — CoH^fficients  of  flood  discharge  from  catchment  areas. 

3. — Co-efficients  of  discharge  for  rivers,  canals,  and  pipes. 

4. — Co-efficients  of  discharge  for  orifices. 

5. — Co-efficients  of  discharge  for  overfalls. 

6.— Hydraulic  memoranda. 

7. — Useful  numhers,  powers,  roots,  Ac. 


Ixix 


TABLE  XII.— Part  1. 


efficients  of  fluid  fidction,  being  the  values  of/*  in  the  formula 

given  in  the  text. 

(D'Arcy,   Bazin,    Ganguillet,   and   Kutter.) 

(From  the  "Cultnr-Ing^nieur,"  1870.) 


General  values. 

—Well  planed  plank. 

— ^Very  smooth  surfaces,  plasters  in  cement ;  assumed  to  be  appli- 
cable also  to  enamelled  and  glazed  pipes. 

— ^Plaster  in  cement,  with  one- third  sand. 

— ^Unplaned  plank. 

! — Brickwork  and  cut  stone ;  assumed  to  apply  also  to  metal  and 
earthenware  pipes  Under  ordinary  conditions,  but  not  new. 

^—Bubble  masonry. 

) — Canals  with  bed  and  banks  of  very  firm  gravel. 

5— Bivers  and  Canals  in  Earth,  in  perfect  order  and  regimen,  and 
perfectly  free  from  stones  and  weeds. 

iO— Bivers  and  Canals  in  Earth,  in  moderately  good  order  and 
regimen,  having  stones  and  weeds  occasionally. 

S— Bivers  and  Canals  in  Earth,  in  bad  order  and  regimen,  having 
stones  and  weeds  in  great  quantity. 

■  • 

Local  values, 

019— The'Marseilles  Canal. 
022 — Bigoles  de  Grosbois. 
023 — Tauber  Alpbachschale,  Bhine. 
024 — Linth  canal.     Hiibengraben.     Hill-streams. 
025 — Jard  canal.     Seine.     Neva. 
026 — Seine.     Haine.     Bhine.     Speierbach. 
027 — Mississippi.     Bhine. 
028 — Saone,  Salzach. 
029 — Danube  in  Hungary. 
030— Bigoles  de  Chazilly. 
031 — Limat,  Zurich. 
038— Maras. 
*035 — Simme. 


TABLE  XII— Part  2. 


Co-effloUnts  of  flood  diecharge  from  catchmeiiit 


Fob  the  fOTmals  in  TaUe  IV,  hrt  1,  abo  ghw  Ib  te  tad 


doDt  (d)  can  Iw  111 liiil  wid  snM^ 

^,  M  it  dapenda  <»  Om  amng*  ■i^'^ 
ntum,  tl»  qnalitj,  inoliiiation,  aad  tiis 


The  TBlae  of  (his  o 
of  wiUun  looal  limits  otdj,  i 
local  downpour,  the  erapontioii,  On  qnalitj,  : 
sition  of  the  snrFace  of  the  area  under  consideratioii ;  it  hsB  luftS^ 
been  determined  for  vei;  few  diatrictB,  and  not  soffioiently  utiM 
toril;  for  some  of  those.     In  some  cases,  anfortnnatel;,  donbtfnl  Bm 
marks  have  been  used  to  obtain  the  flood  gradient,  and  the  Tdooiti 
calcnlated  according  to  very  varied  formnhe ;  in  others,  the  obsbi 
tiona  caused  b;  bridges  and  embankments  have  vitiated  all  the  bv 
of  calculation  of  discharge. 

Vatattef 
For  very  large  Indian  rivers  near  their  months  ...    08  to 

For  Oudh  generaUy  ...  ...  .,  ...       1  to 

The  Madras  Presidency,  the  whole  Caveiy  7    v-  o. 

The  Oodavery,  Kistna,  Tnmbaddra,  Pennair,  Vigay  ) 
The  Chittanr,  Palanr,  Manjilanthi,  Varhasanthi  below   ...       5' 
For  the  Kanhan  River,  Cential  Provinces,  according  to 

the  highest  flood  yet  known,  less  than       ...  „.      5- 

For  Bengal  and  Bahar,  rainfall  2  to  4  feel^-Col.  Dickens 

gives  a  co-eificient  of    ...  ...  ,,.  ..,       8'25 

The    Upper  Cavery,  Tambrapnmi,  Gadanamatti  ...  f        jr 

For  some   rivers   in  Berar  and   the  Central  Provinces, 

according  to  calcnlated  velocities  only       „.  ...     X6'  to 

Some  inrther  data  for  Indian  rivers  will  be  fonnd  is  lbs  Statutiw. 


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Ixxxi 


TABLE  Xn.— Part  4 


fficients  of  Discharge  for  Orifices,  being  values  of  m  for  the 
formula  in  Table  IX.,  and  given  in  the  Text. 


V  =  w    X  8025   >/ H 


id    According 
b'      to  Ex- 
I.     perixncnt. 

•572  ")  Rectangular,    length  7  depth,    (L  "7   D)  ;   see   next 

•709  )      page. 

•62  ^  Orifices  generallj. 

'66  Sluices  without  side  walls. 

•7  Canal  lock  gates  and  dock  gates. 

7    ^62  J  Undershot  wheel  gates. 

•8  Velociiy  of  approach  in  a  channel. 

*83  Sluices  in  lock  gates. 

•84  Large  vertical  pipes. 

•9  Narrow  bridge  openings. 

•94  Large  sluices. 

•96  Wide  openings  from  reservoirs. 

•96  Wide  bridge  openings. 

'96  Orifices  with  converging  mouth-pieces. 

!•  Large  orifices  with  diverging  mouth-pieces. 

1*3  Attached  diverging  mill  channels. 

iodification  of  the  co-efficient  m^ao  as  to  include  the  efibct  due  to 
city  of  approach  ; 

Let  h  =:  head  due  to  this  velocity  only, 
then  m    =Wa/i_i_ 

fn  is  the  new  co-efficient  to  be  used. 


g'i 


TABLE  Xn.— P*BT  i—eontinued. 
Co-efiicieuts  of  Diachargo  for  Orifices — eomttniteJ. 


Table  of  eo-efficiente  of  Veloci"^  " 
when  tlifi  depth  (D)  is  less 


"■'[aeharge  for  Rcct&ngnlar  Orifif 
ho  wiath  (W)  for  a  head  (H), 


D 

D 

D 

D 

0 

H 

W 

W 

W 

W 

w 

w 

=  1 

=  ■5 

5 

=  ■15 

=  1        . 

=  ■0. 

•05 

.    iM 

f  M._ 

709 

■10 

■660 

6>8 

•15 

■638 

•660 

691 

■20 

•612 

■640 

•659 

68S 

■2& 

■617 

■6» 

•659 

GS! 

•30 

•622 

■640 

•658 

676 

■40 

■600 

■626 

■639 

•657 

671 

■50 

■605 

•628 

■638 

•655 

M7 

■60 

•572 

•609 

■030 

■637 

•651 

664 

•75 

■585 

■611 

•631 

•635 

•653 

680 

1-00 

•592 

613 

•634 

•634 

•650 

65S 

1-50 

■598 

•616 

■632 

.632 

•645 

650 

200 

■400 

•617 

■631 

■631 

•642 

641 

2-50 

■602 

■617 

■631 

•630 

•640 

643 

3-50 

■604 

■616 

■629 

•629" 

•637 

638 

400 

•605 

■615 

■627 

■627 

•632 

627 

6-00 

■604 

■613 

■623 

■623. 

•625 

621 

800 

■602 

■611 

■619 

■619 

•618 

616 

1000 

■601 

■607 

■613 

■613 

•613 

613 

The  above  was  dedaced  by  Kankine  frottt  reealts  of  oxperimente 
Poncelet  and  Lesbros. 

y,B. — When  H  7  3  D,  tbo  centre  of  figare  may  be  considered 
centre  of  motion. 


Izxjdii 


TABLE  Xn.— Part  5. 


ficients  of  Discharge  for  Overfalls,  being  values  of  m  for  the 
formnla  applied  in  Table  IX.,  and  g^ven  in  the  Text. 

V  =  I  m  X  8-025  y/  H 

?.  1  =  length  of  weir  sill :  L  =  length  of  dam,  or  breadth  of 
el  :  H  =  head  on  sill  :  D  =  depth  of  notch. 


By 


men' 


Expert- 

ataUste. 

.(.    (Broad-crested  or  flat- topped  dams 
I  Dams  with  a  channel  attached 


•595 
•662 


Weirs   with    1-inch  crests  when  1  =s  or  7  L ;  the 

^     exact  value  of  m  being  =  '57  x  lOL 

Overfalls  when  I  7  _L  and  <  L 

4  "3 

Y-shaped  notch,  when   1  =  D 

'2 

'26     Y-shaped  notch,  when  1  =  D 

T 


•552  • 


Weirs  when  1  =:  L,  and  H  7  ^  height  of  the  barrier ; 
in  this  case  the  velocity   of  approach  must  be 
considered  in  addition. 
'666     Weirs  generally  when  1  s  L  and  H  <  j-  the  height 
of  the  barrier, 
modify  the  co-efficient  m   so  as  to  include  the  effect  due  to 
;j  of  approach, 
h  =  head  due  to  velocity  of  approach  only  ; — 

H 


n}  =  m 


o-^)-(4) 


^  is  the  n^w  co-efficient  to  bo  used. 


oaing  Table  YIII.  for  oyerfalls,  always  diminiBh  the  Telocity  of  discbaii^e  there 
y  one-third  ;  thia  alone  admits  of  the  use  of  the  same  table  for  discharges  both 
es  and  orerfalls. 


TABLE  Xn.— Pjjrt  & 
fijrAvnlw  Memoranda. 


Feet  X 

Feet  X 

Sqnwflfect  x 
Square  feet  x 
Cnbio  feet  x 
Cnbio  feet  x 
Cubic  feet  X 
RainfaU. 

Feet  of  downpour 

Feet  of  dowii[>our 

Drainage  areati. 

The  diaiaage  firom 

collecting  1  foot 


'015  TB  Onnter's  obains. 

-0(X>I9  =  Miles. 

*1I  :=  Square  yards. 

■001  =  Acres. 

6-23  =  GaUons. 

■779  =  Bnsliels. 

•037  =  Cubic  yardfc 

X  193600'        '  cubic  feet  per  sqnnre  miln. 
X        30'2'5      ■■  cubic  feet  per  acre. 

1  Bqnare  mile  1  win    irrigate    176    acres  b 
yearly  |  daty  of  200  acres,  will  su 

47,580  iohabitantB  at  a  i 
of  10  gallonB  daily,  will  } 
■8833  cubic  feet  per  6« 
t^onghoot  the  year. 


Vclooitioa, 

Feet  per  second 
Feet  per  second 
Feet  per  second 
Feet  per  second 

discharges. 

Cnb.  feet  per  sec. 
Cub.  feet  per  sec. 
Cnb.  feet  per  sec. 
Cnb.  feet  pel 
Cab.  feet  pei 
Cnb.  feet  pei 
Cub.  feet  pel 
Cub,  feet  per  sec. 


■C8  ^ve  miles  per  hour. 
60  give  feet  per  minnte. 
20  ■ '- 


give  yards  per  minute. 

<  1200      give  yards  per  hour. 

<  2'2  give  cubic  yards  per  minnte. 

<  133      give  cubic  yards  per  boor. 

<  3200      give  cnbio  ;ards  per  day. 

<  6i      give  gallons  per  second. 

<  375      give  gallons  per  nunnte. 

<  22      give  thousands  of  gallons  per  lio 

<  500      give  thousands  of  gallons  per  i 

<  2400      give  tons  per  day. 


Ixxxv 


TABLE  Xn.— Part  &— continued. 


>ic  feet. 

GhJlons. 

1- 

= 

6-232 

-1605 

= 

1 

1-8 

ss 

11-2 

35-943 

s= 

224 

1  cnbic  inch 

B= 

•0036 

and  weighs  62*32  lbs. 

and  weighs  10  lbs. 

aed-weighs  1  cwt. 

and  weighs  1  ton. 

and  weighs  *0361  lbs. 
Lnid  ounce  weighs  .437*5  grains. 

Ftoj  ounce  measures  8  fluid  ounces,  46  minims. 

iiYoirdupois  ounce  measures  8  fluid  ounces, 
lb.  Troy     =5760  grains       =6319'54  minims  of  water, 
gallon       =76800  minims    =70000  grs.  of  distilled  water, 
lb.  Avoir.  =  7000  grains. 

All  comparisons  between  measures  of  capacity  and  those  of  weight 
re  made  with  distilled  water  at  a  specific  gravity  of  1,  temp.  62^. 

Pbessure. 
H  =  head  of  water  m  feet  H  =  P  x     2*31. 

P  =  pressure  in  lbs.  per  square  foot  P  =  H  x  62*32. 

HOESB-POWEE. 

HP   =  33000  lbs.  raised  1  foot  in  1  minute. 

=  884  tons  raised  1  foot  in  1  hour.  . 
leoretical  HP  =  -113  Q  x  faU  in  feet. 

The  drainage    of   10   square  miles    collecting  12^'  yearly  gives 
&P  for  each  foot  of  fall. 

For  pumping  engines  of  the  best  class,  allow  HP  =  '142  Q  H  where 
=  quantity  raised  in  cubic  feet  per  second,  H  =  height  in  feet. 
MUls, — ^An  ordinary  mill  will  grind  1  bushel  per  HP  per  hour ; 
r  each  pair  of  stones  allow  4  HP  nominal. 

Towage. 
The  general  formula  referred  to  in  the  text  is 

R  =  5  T.  V^ 
where  B=  the  pull  on  the  rope  in  pounds, 

T  =  the  displacement  of  the  barge  in  tons, 
V  ==  the  velocity  through  the  water, 
5  =:  a  co-efficient  varying  with  the  form  of  the  barge, 
from  -109  to  -369. 


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APPENDIX 


OP 


MISCELLANEOUS    TABLES    AND    DATA. 


Bbtainino  Wauii. 

Masokrt  Dams.' 

Thickness  and  Wkoht  of  Pipes. 

Duty  of  Htdraumq  Machines. 

Indian  Hydraulic  OoNTRivANeis. 

Constants  of  Labottr  and  Cartage. 


,"ir 


inSCELLANEOUS  TABLES  AND  DATA. 

Formalx  and  Data  far  Retaining  WaJU. 

EKtiactod  from  vBriona  articles  by  J.  H.  E,  Hart,  Esq.,  C.E. 

/(        bH        ) 
General  equation  for  breadth  of  base,  x  =  '\/  "1  3  ,e  («  ±  gi)  f 

liere  H  :=  total  horizontal  pressare  againet  the  back  of  the  wall. 

fi   ^  the  ratio  of  its  sectional  area  to  that  of  a  rectangle  of 

equal  height  and  breadth. 
K  ^  the  weight  of  a  cubic  foot  of  the  wall. 
qx  =  the  horizontal  deviation  of  the  centre  of  reaiatance  of 

the  baae  from  the  middle  of  the  base. 
^x  =  the  horizontal  devintton  of  the  centre  of  gravity  of  the 
profile  from  the  middle  of  the  baae, 

)  FoTTerlical  rectangular  sections,  n  ^  l,j'^0,«^  A/l  T~n  J 
V^  For  plumb-faced  trapezoidal  sections  of  a  top  thickneea  [f) 


=  ('-^ 


vt 


)     V*  («  +  /)/ 


l3  w  (y  -  J) 

I  For  plnmb-bftclted  trapezoidal  sectiona  of  a  top  thicknesB  (0 
r  +  t       .,      ,   _    (x  —  i\ 


'=Vi^ 


■Id ,' 

H  + 


Kl)'l-I 


'(!  +  *) 

The  limiting  value  pf  g  to  avoid  the  etiat«nce  of  tension  in  the 
lUaoni^  is  \,  bat  its  limiting  value  in  actual  practice  is  \.  In 
peeitl  caaea,  since  it  mast  not  be  so  great  as  to  cause  the  maxi- 
■kWD  preasore  (P)  to  eiceed  the  safe  reaiatance  (C)  to  cmahing  of 

ifafl  material,  its  values  correapond  aa  follows  to  tho  valuea  of  — ,  where   < 

P  , 

>  =  the  mean  pressure  per  unit  of  surfaco  of  baae,  =  aum  of  the  i 
jrertieftl  forc«e  -^  area  of  the  base  ;  and  P  Is  less  than  C. 

?  =  },«.  i  iJ.¥.2i  ¥,¥.¥,1 

If  I  =^  tbieknees  of  a  vertical  rectangular  wall  to  analain  a  horizontal- 
topped  bank, 
*,  =1        do.       for  an  indefinite  anrcharge, 
J,  ^        do.       for  a  surcharge  nf  a  height  c, 

where  h  =  height  of  the  wall. 


UlfiCELLANEOUB  DATA- 

Oo-effieitnU/or  Eartk  Pnmtn  agaitut  oiufoot  ir  Ungth  nf  nrfkol-  1 
haektA  WaUtJoT  varunu  angUt  ojttpott  iff  earth. 


For  ugles  of  npoee  of        2?°    80°    83° 

Co-effioientB  of  cBrth  preeBnre. 

'iS'.ursX'*  *!!}■'««  ■'"  ■"'•'"'  •"'  *"  «« 

'■"4w^'.'!!»'  -3"  •»«  -32'  ■««  -Si'S  *» 
HoriEOntol  preBBon}  H  =  coefficient  x  wmg^l  of  1  cnHo  foot  X  If. 

For  walls  haviiij;  Bloping  bocks  the  horiBOntal  pressara  it  oM-l 
vemently  detenuibed  b;  Xeville's  well-known  geometrioal 
which  givM  (he  ()OBition  of  the  ptuie  of  w;'^"''niini  pnesaie,  ai 
hence  aleo  the  TKlnes  of  e  the  indinatiim  of  that  plane  withibeanj^ 
of  repose,  and  Athe  eectional  area  of  effective  pre«nre,  in  the  gvnsi 
expreDuon  for  horizontal  thnut,  H  =  A  tan  e  x  weight  of  1  CHtw 
foot  of  the  earth. 

For  water  preesnre  H  =  81-2  X  1^. 
Workipg  Load*  or  tajt  untU  of  preuwt  adopted  in  exiMling  i InictirA, 
(EVom  Spon'i  *'  Dictionary  of  Engineering.") 

ToniooOt 
■qqinfaot 
Soft  rock  fonndations  ...  ...  ■■■  ...  9 

Concrete...  ...  ...  ...  ...  ...  Z 

Earth       '. li 

AshlBT  masonry,  limeBtone,  Britannia  Bridge   ...  ...        16 

.     „  „        granite,  Saltash  Bridge  ...  ...        10 

„      backed  widi  mbble,  Peniston  Viadnct  ...  ...  6 

Rnfable  masonry,  sandstone  in  Abei-thaw  lime,  Pont  j  Pridd  SDf 
limestone  in  chalk  lime,  Barentine  Yiadnct  ^ 
in  hydraulic  time,  Almanea  Dam  ...        12'S 


Tnlsi          ...              ...  8-9  to  64 

Brickwork,  London  paviorB*   in   cement.  Charing    Cross 

Bridge          12 

„         Btaffordshire    bine  brick    in   cement,    Clifton 

SnBpeneion  Bridge       ...             ...              ...  10 

„         red  Birmingham  in  liaa  lime.  Railway  Viadnct  7 

Cement  mortar       ...             ...              ...             ...             ...  20loSli 

Lime  mortar           ...              ...             ...               ..             ...  2}  to  St 


•  •• 

111 


MISGEIiLANEOUS     DATA^conHnued. 

Table  of  WeigkU  of  MateriaU 

(From  Spon's  "  Dictionary  of  Engineering.") 


Angle 

of  repoie. 

Specific  graniy. 

• 

Weight  of  a 
cnUofboi. 

7 

30° 

to  40* 

1-96 

120 

3t 

15 

to  20 

217 

135 

ommon  dry 

46 

1-64 

102 

3lay  and  sand 

54 

1-5  to  1-7 

07  to  106 

37 

1-5  to  1-9 

96  to  120 

B^arden 

36  to  45 

1-4 

70  to  90 

ry  fine 

34  to  40 

1-4  to  1-6 

84  to  97 

amp 

34  to  40 

1-9 

118 

» loose 

39 

2  2 

139 

and  traps 

3  to  2-4 

187  to  165 

red 

216 

135 

x>mmon 

1-76 

110 

ttock  (London) 

1-84 

115 

»rk  in  cement 

1-92 

120 

in  new  mortar 

^ 

1-87 

117 

in  old  mortar 

1-52 

95 

new 

1-61 

100 

isonry 

2-34 

148 

» 

8-05  to  2-25 

190  to  141 

masonry 

2-75 

172 

aes 

2-54  to  1-86 

169  to  116 

,  new 

1-9 

119 

old 

1-42 

89 

oes 

2-67  to  1-38 
2-9    to    2-5 

168  to  88 
180  to  157 

weight  =  \  that  of  stone  +  ^  that  of  mortar. 

weight  s=  ^  to  {  that  of  stone  +  ^  to  ^  that  of  mortar. 

afe  working  load  for  masonry  and  brickwork  is  that  for  the 
ised  ;  bat  in  ordinary  calcnlation,  5  tons  per  square  foot  for 
rk  and  rabble,  and  30  for  ashlar  in  cement,  is  generally  allowed. 


MISCELLANEOUS  DATA-^<mrri.«*rf. 


Z)iiiw>UH»u  Of  TrapKMidal  Matonry  Dam»,  having  botik  /new  iolfaniij, 
Jot  height!  up  to  iO/tfl.     (liy  the  Author.) 


Height  or  i^am 
Thidmen  nt  top 
Tbicknen  at  bottom 
Front  batter 
BmiIc  batter 
J«reB 


GochI  rubble.        Inferior  nibble.     Bdc 


Dimmtiont  of  TrapetoiJal  MMonry  uami.  havinij  the  water  fate  w 
Jbr  h«ighti  up  to  40 /M. 


Weight    of    masonry    per 


cnbic  foot         

140  lbs. 

1201bfl. 

lOCIti 

Height  of  dam     

H 

H 

H 

Tbickneas  &t  top 

•24H 

■26H 

■28H 

Thiclcnefls  at  bottom 

■«H 

■51H 

■US 

Water  face           

Tertioal 

Vertical 

Tertiol 

Onterface 

1  in  4-25 

1  in4 

linSM 

Sectional  ana       

■36H« 

-875^ 

■433* 

Weight  per  nnit  of  length 

SOH- 

45H» 

42^ 

'  104H 

90H 

7m 

416H 

360H 

sm 

TheBe  data  apply  to  the  same  limiting  valoe  of  q,  the  ratio  to  w 
breadth  of  the  base  of  the  distance  along  it  from  the  foot  at  "l"'' 
the  direction  of  the  resultant  presBore  cats,  which  is  taken  it  oM 
third.  A  slight  modification  of  the  above  section  may  be  nnd  li: 
heights  up  to  50  feet.  For  lofty  dams,  the  process  and  n4«  ' 
Banldne  for  obtaining  the  dimensions  of  dams  with  cnrred  profil' 
nnder  different  conditions  yield  coirect  resnlta  by  means  of  abort  iT 
simple  calculations. 


MISCELLANEOUS  DATA- con*  inu*i. 
IM,  Sixet,  amd  Weights  of  Catt  Iron  Pipa.     (Box.) 
Safe  ThickneBS  for  Varione  PresBures. 


HwdofwtMinfert,                

' 

FotOw 

100 

250       j       600 

750 

1000 

ThickncninbcbM. 

■2? 

■28 

■29 

^ 

■31 

•33 

2» 

•3 

■31 

33 

■36 

•37 

a 

■31 

■33 

35 

■37 

■41 

32 

•33 

■35 

3H 

■11 

■44 

as 

•37 

•39 

« 

•47 

■51 

37 

■39 

■12 

17 

•62 

■57 

3fl 

■42 

■46 

51 

■67 

•63 

11 

•44 

■48 

65 

■62 

•69 

13 

•46 

■61 

69 

■67 

■75 

« 

•18 

■53 

fi3 

■72 

■81 

« 

■50 

•56 

66 

■76 

•86 

lit 

•54 

•61 

73 

■85 

■97 

n» 

•59 

■68 

H3 

98 

1^13 

57 

•61 

■75 

93 

111 

129 

ti 

•69 

•81 

1 

IJ2 

123 

144 

M 

■73 

■88 

112 

1'36 

160 

«» 

■81 

l-OO 

129 

159 

189 

■75 

•89 

111 

147 

1^83 

219 

and  Weights  of  Socket  Pipes  for  a  Head  of  200  Feet 

without 

Depth 

of 

Lead  joint, 

Average 

Avemee 
w>i}{bt  of 

■ocket.- 

»cket. 

Uii.!.,  d«,,   ..Igbt. 

pipe. 

btndj 

f«l 

liicba 

Ibt 

cwt.   Iba. 

c 

3 

42 

28 

6 

3 

i      1        14 

56 

30 

6 

^1 

1      1        1^6 

67 

37 

9 

A  1     a^s 

1       8 

45 

9 

1 

A   2     *■ 

1     6C 

75 

0 

4- 

A    2       S- 

2 

84 

9 

4i 

.•,',    2       65 

2     66 

87 

9 

4» 

A    2       77 

3     12 

1     25 

9 

41 

A    2       8^2 

3     bO 

1     58 

9 

li 

A    2     lO'l 

4     28          1     74 

9 

14 

A    2     ll-o 

4     98          3     84 

9 

H 

A    2      15^ 

6     66         3  105 

MISCELLANEOUS  TABLES— continurd. 


Hydraulic   Maekiaei: — Return  of  Motive   PoKtr. 
Dedncod  &om  Marin's  Experimento- 


Lift  pnmp  ... 
Force  pamp 
Fire  engioQ 
Chiseae  whool 
Flash  wboel 
Wirta  pnmp 


Stotx  pomp 
Leclerc  ... 


■181 
■640 


Piatti 
Apptild 
Gwyiiue     ■•• 

Girard 
Yertical  lielix 


Uontgolfier       ...  I 
Calign^ 

Foes  

Darlige's  balsince  ... 
Beltdor       ...         ..i 

Hnelgoat 

Pfateuh       


lunioi  tBTtrt. 

Ot 

oh   ... 


(  At  Ivry  (feeder  alone)  .. 
At  Ivry  (three  piimpa).. 
At  St,  Ouen 
At  Lisbon  (Farcot) 
Solid  piston  pnmps 


Vaacile's  Gre-engin 
Gray'fl  oscillating 


■600   •« 
■613  I -9* 


(From  Neville.) 


Jvershot  wheek   ... 
Breast  wheels       ... 

■76 
■52 

Barker's  mill     ...         J 

•16 
■3.1 

VerT    wide    breast- 

Ballysillan  Tortez 

■75 

wheels 

•70 

Tremont  vortex 

■794 

Undershot  wheels... 

•83 

Montgolfier's  ram 

■fi.'i 

Floating  turbine    ... 

■38 

Eaaton  and  Amos  ram  .. 

■w 

Impact  tnrbine       J 

■16 
■40 

Wat«r-pre88aT«  engines... 

HS 

IT 

il 
1 

8 
J 


CI  »  o  o  o  o  o  -s 


Soo-ijOOTi^oi-oa^i^    Sod      co-*c 


5SJS5 


O  O  Q  O  ■*  O  «  O      Q         "S        '^'S^'*^ 


3SS 


*?N^ 


ill 

1 .1  Ji  .2  "3 


s,3ia 


MISCEIiLiJraOUS  DATA- 

'ContiHued.    ~^^B 

CoMtanU  of  Labour.     fHnret.) 

■ 

Eabthwobs. 

^ 

Excavator's  Work  per  cubic  yard,  in  termfl  of 

«day'«laboronOl« 

for  diflerent  descripttons  of  soil. 

Days  of  a  Laborer. 

Miteruk 

Sotl. 

Uodtmt. 

D.J.. 

D«t. 

Excavuting  onl; 

... 

■OW) 

■100 

„          in  rock  ro«|nii                  | 

S       - 

LlgbL 

Hc»7.  W« 

TUrovring  5  feet  higb,  or 

:ks     ... 

■048 

•055 

Pilling  bwTOWS 

■045 

■052 

Bemovisg  with  whiKlbor. 

yards' 

distance      

■026 

■030 

Tilling  at  backs  of  walls 

•048 

•0£S 

.Ramming  earth  in  H-iuch 

•040 

„         „            12.inch 

■025 

Levelling  earth  from  barrow-heaps  without 

throwing 

■012 
■020  1 

■019 

Levelling  and  trimming  slopes  per 

a.  yard 

to   -030 

Turf  4  inches  thick,  cutting  and  stacking 

only,  per  s.  yard -OiS 

„       „    reeodding only,  per  s.  yard    ...        '065 

Days  of  driver,  horse,  and  cart. 
Removing  220  yards  distance,  per  c.'yard         '035  to   '040 
Each  additional  220  yards  „        „  '020  to    025 

y.S. — The  vertical  transport  of  »arth  is  eqoal  to  15  times  the 
horizontal  distanoa  when  barrows  are  used,  and  12  times  when  b 
and  carts  are  employed. 


Days  o 


Q  Indian  Coolie. 


Ecavating  down  to  9  feet,  carryiog  to  25  yds. 
in  a  basket  and  depositing  np  to  C  ft. 
Excavating  down  to  15  feet        „        „ 
Add  for  each  3  feet  more  of  depth  or  height 
of  delivery,  or  for  each  15  yards'  addi- 
tional distance...    ...  ■■•         ...  ..• 


Sand.    QnnL  Bu« 

1-25  2.00 

200        2-75 


IX 

laSCELLANEOnS  DATAr-eonlmiMi. 
OonUMU  of  Labour. '  (Hurst.) 

BKICSXATBBS'    WOBX. 

me  in  days  of  10  honrs  in  which  work  can  be  performed. 

One  Bricklayer^B  Laborer.  ^^^ 

increte,  wheeling  and  throwing  from  a  stage,  1  c.  jd.  in  *800 

ortar  with  a  shovel       ...  '       1  c.  yd.  in  *720 

rse  png-mill  mixes  25  cubic  yards  of  mortar  ...         in  1* 

p  and  stacking  bricks  without  moving,  per  1,000      ...  '150 

„                  if  handed  to  him               „  *100 

bricks  for  facings           •         '300 

down     old    brickwork    in     mortar,     cleaning    and 

g***            ...            ..•            ..•            •••            •*.          X  C«  yCl*  Ul  4JL  V/ 

One  Bricklayer  and  Laborer.  Daji. 

k  in  mortar  to  walls,  exclusive  of  face  work,  1  c.  yd.  in  '320 

in  cement          •••         „  *373 

in  mortar  to  covering  arches „  '410 

fiat    joint    in    mortar    and    raking     out    mortar 

...         .••        •••        •.•        •••         ...       xs.  yci.  in  xXv 

flat    joint    in    cement    and    raking    out    cement 

..•         •••         •••         •••         •••       1  Bm  yd.  in  *170 

iuck  in  cement  and  raking  out  cement  j  oints           „  '258 

ith  stock  bricks  on  edge  in  mortar       ...              „  '%86 

„                „        in  cement      ...              ,,  '100 

id  jointing  in  cement  3-inch  drain  pipes        1 1.  yd.  in  '024 

„                 „       6                  „                         „  '048 

„                 „      9                 „                        iy  •069 

„     12                 „.                       „  -098 

„                 „     18                 „                        „  '150 

One  Bricklayer  only.  Days, 

each  fair  face  to  brickwork  and  pointing       per  s.  yd.  *080 
each    £Eur    face  in    malms   or    facing   of   superior 

..•         ...         ...         ...          ...         .*.        per  B.  yo.  xxf 

each     fair     face     in    malms,     circular    to    tem- 

•  •*          ...          ...          .••          ••»          .«.        per  D.  Vu.  xov 

iting  to  brickwork           ...         »v         ...             „  *i35 

..                                                         yy                                                               ...                            ..•                           •••                                        y,  OOv 


CGLLAITEOTT'S  DATA—^ntinueJ. 
Cbntlanli  of  Lalour — (Hnrat.) 

MlSOKS'  WOKX. 

Days  of  a  Laborer.  Dqk 

Bobble  Stone. — Filling  barrows per  cobio  jfard  iW 

„          RemoviBK  25  yards,  and  rsturmng  „         „      "Ott 

„         Unloading  barrowa      „        „      ■O) 


„         Taking  down  o 

mortar. 

■ 

cleaning  ant 

„ 

•   3 

BrMking  stono  to  If 

-  'a 

Do.         do.         granitu  m 

„  «a 

SprMdiog  tbe  same  for  nu 

...  per  square  yard  OS^f 

D.j,0 

Laborer. 

M> 

BnbUe  nuwoorr,  dry  in  fo 

...  per  cnbic 

j«ri   Ml 

M            H          in  moit 

tiona... 

»  n 

all  beds  . 

J        ... 

>  ■« 

„           „         in  cement 

do. 

„ 

„  -ill 

12" 

oo  arses, 

rubble  with  chisel -drafted 

margit 

a     .. 

„    21» 

Cobed  Btoue  hoisU-d  and  set 

in  mortar  .. 

.1 

..   -n 

11                               "                               !■ 

D  cement  .. 

» 

„      'Ml 

Days  of  a  Mason  only.  Dijb 

Ad3  to  rubble  masonry  for  each  fair  face  ...  per  aqnare  yard  090 

„  „  if  hatnnier  drexsed       ...  „         „ 

„  „  if  curved  ...         ...  „         „ 

Squariug  2"  flags  for  paving       „         „       ■07! 

,,       4"  „  ISS 


Days  of  a  Mai 


n  varions  sorts  of  Btone. 


Caen.       Paitknd.    <}niii>*'    ' 


Wbolo  sawing,  or  axing,  per  square  yard  "270 

Plain  work                  )  „  „  -540 

„            circolarj  „  „  -900 

Sunk  work               1  „  „  -676 

„           circolarj  „  „  1-035 

Moulded  work           |  „  „  1-386 

„           oircolarl  „  „  1*800 


■540 

1-J70 

•765 

1-800 

1-396 

»1S0 

1-080 

!-lSS 

1-575 

2-9S5 

1-800 

8-S2S 

2-700 

4405 

B                                                       ^U 

ifl 

■391 
■521 

■625 
■781 

1^25 
1-663 
2-083 
3-125 
4-167 

6-25 

16 

■556 
-667 
■833 
1111 
1-333 
1-GG7 
2-222 
3333 
4-444 
5-333 
6-667 

IP 

12    * 

-521 
-694 
-833 
1-042 
1-389 
1667 
2^083 
2-778 
4-167 
5-556 
6-667 
8-333 

^■B                  ^                  S^^^"^aO^Q"^'~<^" 

p  n  ^  ^^.si^su.o 

^^K'     £       f              nS''So^°°S^^°''~'         ^M 

B  ^  -  ^islisiliisg 

■1 

7 

■893 
1^190 
1-429 
1-786 
2381 
2-857 
3-571 
4-762 
7-143 
9-524 
11-429 
14-286 

-  Illililiiiii   - 

1    IS,.  ai..S2|2g     " 

i    1    1    IPSsiliSg^gi 

■  j   !  i   1 1  i  i  i  5  i  1  ?  g  ?  g 

Si-P-        S  S       Sis       ■«  S       &              ^M 

l-B-l                   ^SS"""-'""""-                          ; 

lii     3  =  =  =  ---  =  =  =  =  ^ 

^^HrilMhitfH 

mSCELLANEOnS  BATA- 
Indian  Coinage,  Wai^*,  mud 
The  redaotions  from  Indlftn  d&ta  id  the  ■triJriJM  an  bawd  <»'tl 
BMomptioii  that  the  Bnpi  ia  eqaiTalent  to  two  ahfllingg,  uid  lb 
Man  or  Mumd  to  80  lbs.  avoirdnpoia.  To  aid  the  reader  in  anyndin 
ttona  from  oasn&l  Indian  data  he  may  wiah  to  make,  the  fidlowiig 
eqniTalentfl  may  be  naefol. 

The  Rapee  is  the  basis  of  BritiBh-Indiaa  coinage  sod  weighfc,  ind 
ita  weight  is  called  a  Tola. 

£.    *,     A-  Qniu^. 

1  Pie  =  1    and  weighs     33) 

1  Anna      =     12  Pie  ■=  \\    and  weighs   400 

1  Rnpee     b=     16  Annaa       =  2     0    and  wei^is    180 

1  Uohar     =     16  Rupees     =     1  12     0    and  weighs    160 
The  estaUished  Britisb-Iiidiao  weights  are : — 

1  Tola  =  =        -41143  oc  Avoir. 

5  Tolas         =     1  Chittnk  =      2-0&n4  ol  Anrir. 

16  Chittoks     =     1  Seer  or  Ser  =      2-05714  lb.  Atoct. 

40  Seers         =     1  Man  or  Mannd     —    82>2857    lb.  Avoir.  : 
The  Seer  is  nearly  a  Eilogrtunine. 

1  ib.  Troy  weighs  32  Tolas,  and  1  lb.  Avoirdnpoia  3889  Tolas. 
There  are  no  measores  of   capacity,  liqaid  and  dry  goods  bang 
eetitnatod  by  weight. 

The  meaeoresof  length  are  the  English  yard  or  gas,  andtheEcglisli 
mile,  which  has  now  superseded  the  very  variable  kos. 

The  moasnro  of  surface,  the  bigha,  is  not  yet  generally  superseded 
by  the  English  acre,  its  value  io  different  places  is : — 


In  Northern  India  3025  a.  yard*.  I 

InOrissa  ...  4840  s,  yawU. 

InTirhnt  ...  4225  s.  yards- 

The  English  acre  .  4840  a.  -pait. 


In  Bengal  ...  1600  b.  yards. 

At  Ban«w-a8  and     >  313^  3^    „rds. 

Ghazipnr  )  ' 

The  Madras  Kani    6400  s.  yards. 
At  Bombay         ...  3406  s.  yards. 

The  local  weights,  the  seer,  man,  and  kandi,  vary  everywhere  in 
Southern  India ;  in  the  towns  of  Madras  and  Bombay  th^  are 
thus: — 

Madras.  Bombay. 

ISeer  =  i  visa      =    lOoz.Av.        1  Seer  =  11-2ob.At. 

40Seera  =  lMan    =    25  lb.  Av.     40  Seers  =  1  Man    =     2Slb.Av. 
20  Mans  =  1  Kandi  =  500  lb.  Av.     20  Mans  =  1  Eandi  =  560  lb.  At. 

The  other  local  wuighia  and  measnres  are  both  Tolnminous  and 
doubtful,  vaiyiu^r  in  almout  every  district. 


fDRAULIC  MANUAL. 


PART   II. 


OOimSTINO  OF 


HYDRAULIC  STATISTICS 


Am> 


DIAN  METEOROLOGICAL  STATISTICS, 


FOR  THE  USE  OF  ENGINEERS. 


COLLECTED  AND  REDUCED 


BT 


LOWIS    D*A.    JACKSON,    A.I.C.B. 


LONDON : 
^    H.   ALLEN  &  CO.,   13,  WATERLOO  PLACE,  S.W. 


1875.    -' 


HYDRAULIC    STATISTICS. 


GftATITT  AHP  TeKFUUTUBI. 

BzAZimcs  o?  B1YXB8. 

Wmhb  utd  Gubvbs  of  Induv  Bi- 


DnCIIABGES  OF  ISDIAN  BlVBBS. 

Bbimp  Accounts  op  Indian  Bivebs. 

Fdiaxcial  StATinica   of  Indian 
Canau. 

Canal  Statistics. 

Beiip  Accounts  of  Indian  Oanals. 


I     Data  of  English  Beservoibs. 

Spanish  Besebvoibs  and  Dams. 

Financial  Statistics    of   Indian 
Besebtoibs  and  Tanks. 

Bbief  Accounts  of  the  same. 

Watekwobks  of  Indian  Cities. 

Ibbioated  Cbops  and  Plantations. 

Watebings  and  Wateb-bates. 

Descbiftions   and    Analyses   or 
Wateb  and  Silt. 


[1] 


'>i/namie  Force  oj  Qravitj/  at  tie  Sea  Level,  and  tke 
Mean  Tomperahtre,  fir  varioui  Latitudet. 


Onritr. 

Utltnde. 

gen 

...      32-2526 

79 

& 

58 

ad 

...      32'2«5 

74 

32 

19 



65 

30 

0 

34-38 

betlands) 

...     32-2173 

60 
60 

45 
27 

25 

0 

40-28 



...      32-2O40 

55 

58 

41 

... 

gh 

...      32-2040 

55 

57 

0 

46-64 

„,     32-1908 

51 

31 

8 

50-74 

...      321895 

51 

2 

10 

32-1820 

48 

50 

14 

53-65 

z 

...     32-1691 

a 

50 

26 

57-82 

43 

36 

0 

53  03 



",     821GG8 

43 

7 

9 

rk 

...     321C00 

40 

42 

43 

...     32-1380 

35 

0 

0 

Good  Ho 

je         .      32-1403 
..       32-1412 

33 
33 

55 
51 

15 
39 

Cl-3 

aneiro    .. 

...      321121 

22 

66 

13 

Dflgar    .. 

",',     32-1147 

22 
20 

82 
9 

0 
19 

75-10 

18 

53 

0 

80-60 

'."     321050 

17 

56 

7 

...     320917 

10 

38 

56 

3one 

...     320927 

8 

20 

28 

... 

n 

..      32-0959 

7 

55 

48 

6 

68 

0 

80-90 

«a  lale .. 
ste 

";     320930 

0 
0 

21 
1 

41 

34 

81-50 

iBcdinUi 

e  work- 

...     82-2 

■m 


Uil 
i-iti 


% 


ill 
III 


li 


It" 


^is 


isssi 


?  a  S  S  S  a  g  s 


too      oS5— 50'?'= 


gog  g^g^^ 


1 1 


Hi  o  ° 

i  !  i2 ;?  I 

i  -a  s  z  s 

•S  0  I  S.  I 

o  5  M  „  .2 

&  S"  -I  1  E 

■3  s  ^  g  £ 

O  m  EH  tS  pq 


ii 


i    ■ 

IT" 


1^ 


■3  5 


w 

■^^^ 

}  ii^-iil  ^l 

i 

;         ^                                                    ^2 

I 

I 


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I  -^ 


I  I 


a    I 


s    a  s   8 


III 


I  I 


■5-gJ     =-3=     r.So" 

■a  -3  s    =  ■;-  °    -    =   £  ■-    § 

J  I  I  1  I  t  i  I  I  I  ' 

I    I   I    S    =    j    I    i   -   5   i 

ili^jiljlir 


Ihe  Ara(H  of  the  River  Baeini  of  JnJia. 


[5] 


EuHKa  BiBm. 


Sqam 

Sq<ut> 

mil«. 

mUce. 

1 

...  372  700 

Ganges 

...  391100 

Desert    ... 

...    68  700 

Sabanrelcha     ... 

..     11300 

...     22  400 

Baitarani 

..     11900 

rar  and  Kach 

pe- 

BraliiDani 

..     15400 

imlu 

...     2?  600 

...     15  500 

Mahanaddi      ... 

..43  800 

kda 

...     36  400 

Godavari 

..  112  200 

i 

...    27000 

Orissa  Coast  ... 

..    22  200 

era  Obatfl  and  Coast 

Ci,roGiaiidel  Coast 

..    10  300 

ies 

...    41700 

Lake  Pnlicat  ... 

...      6700 

nnatti     ... 

...      9  500 

Lake  Eoler     ... 

..      3100 

emBanaa 

...      6300 

dnr 

...      1800 

Eistna 

..     94500 

Penuar 

..     20  500 

Total 

...  629  600 

Palar 

..      6  800 

South  Pennar... 

6200 

BdBMUI    BlBIH*. 

Vellar 

4  600 

»di 

...  158000 

Qg 

...     18300 

Kaveri 

..    27  700 

...     62  700 

Vaiga 

..      9800 

an  Basins 

...     29  700 

Tambararari  ... 

..       3  600 

iserim  Coast 

...     14200 

Vaipar 

..      3900 

Total 

...  375  700 

Total 

..  705  000 

mapntra ... 

...  361 200 

"""^ 

ra 


ll 


•i      t^atoi^o^tc 


9    =SS 


■1 
si 


■2    si 


?.5« 


I  ls°s§l*" 


S<NS% 


l|51l||l  111  I  iil 

I  SJ|1.|J  i|»  I   H 

—  J  a  a  ^  5*  [(■  a        j3  a  ^        's         *  a  ;t 


[7] 


JFbll  in  feet  per  mile  of  Indian  Eivers. 


NOBTHSBH    InDU. 

If  Omng^, 

tttSokerial       .        .     1*5 
from  Gnrmaktesar  to 
60  miles  south       .     1*25 

SbttipaT  to  Allahabad  75 

%i^Bhagiratti 

for  190  miles ;  between 
Rajmahal  and  Mir- 
lapnr    .        .        ,       *281 

WmJmnna^ 

at  Agra  .     1*25 

near  Sakkar  *75 

Hf  &»,  in  the  Punjab, 

at  Lahor-road  bridge    14* 

tHiMarkanda, 

atHassanpnr     .  2*72 

fie  Mdkanaddi, 

lower  100  miles  1*4 

next  100  miles  .        .     2*2 

Southern  Ihdu. 

ie  Oodavarif 

Sironcha  to  Palmilla .       '5 
Encbampilli  to  Dama- 

gadiam  .1*0 

Damagndiam  to- head 

of  delta         •        .       '5 
throngh  delta  to  sea  .      '5 

ke  Tranhiia, 

TaUodhi  to  Sironcha, 
90  miles        .        .     1*0 

keWitrda, 

above  the  Wnnna     .     4'0 
below  it  to  TaUodhi .     10 

51*  Wainganga^ 

Kampti    to  TaUodhi, 
192  miles      .        .    2'8 

VieKiMtna, 

Bezwara  to  sea .        .1*0 


Southern  Indu. 

The  Tambrapumiy 

at  Strivigantam  2*5  to  3*0 

The  Tungabaddroy  Dhar- 

war      .        .         .      2  to  2*5 

The  Warda^  Dharwar  . 

2- 

The  Maljparha,  Belgaum  1*25  to  15 

T^e  Gatparhay  Belgaum, 

below  Gokak        •     1* 

to  2* 

The  Nira,  funa, 

above  Handishwar 

4*6 

The  Indarauni,  Puna 

2*75 

J'he  Bhima,  Puna, 

Sarwali  to  Deksal 

2*75 

The  Siena,  Sholapur, 

above  Undogaum 

2*75 

The  Krishna,  Sattara, 

above  Kursi        .         • 

4-7 

Kursi  to  Bahej  . 

1*9 

Bahey  to  Yerla  . 

1*4 

below  Yerla 

•6 

The  Koina, 

Helwak  to  Karrar 

1*3 

Karrar  to  Babej 

•4 

above  Bamnoli    . 

6*0 

The  Terla, 

• 

Krishna  to  Chickli      . 

8-8 

The  Mann, 

Diguchi  to  Manswar  . 

6-6 

The  Kaveri, 

above  the  Kalernn 

8-5 

thence    to    Seringham 

3*5  to  20 

Seringham  to  sea 

10 

The  Kalerun, 

from  the  Kaveri  to  Se- 

ringham       .     31  to  1*6 

Seringham  to  sea    1*6  to  '6 

lI^^^^^^H 

C8J 

Flood  dUcharget  of  Indian   Eivert,  according  to  ta 

ri^n,  r.p^t 

CtoluUBt 

PlMd 

DW-rp'lli 

Am. 

JUmAmtgt. 

..-To. "- 

i! 

8q.^ 

lo. 

a   ft.    PITKO. 

C.  n-pa 

. 

NOHTHltaN  ISDU. 

Ganges  &t  Rajmabal 

21 

JO 

1350  000 

4-7 

11 

Combined  Mitlumaddi  and  Ka.fr 

inri  in  flood  of  1834 

w 

1850  000 

27-6 

t-e 

Jamna  at  AUabah^vd      

m 

1  333  OtKJ 

11-3 

2' 

Son  (Benpil)  at  cauaewny 
Indne  at  Sftkkar 

[10 

1700  000 

50-0 

1- 

w 

380  000 

15-2 

U'3 

Son     (Punjab)    at  Lahor-roa 

bridge        

w 

96  0l>0 

26-6 

i 

Markanda  at  HasBanpur,  1843  . 
S&;  at  Rai  Bareli  bridge 

ixf 

w 

47  838 

39-8 

I- 

960 

16  500 

17-2 

I- 

Sai  at  railway  bridge 

2-W 

12  000 

50-0 

2' 

Gnmti  at  Laklinftn  bridge 
Gomti  at  Saltanpnr  bridge     ... 
IiOni  at  milwaj  bridge              •.. 

2  000 

22  366 

11-2 

US) 

3600 

39  00Ct 

10-8 

n 

120 

4000 

38'3 

13 

1 

K^liani  at  Laklman  bridge    ... 

360 

17  758 

49'3 

2-1 

i 

Morna  (Bt!rar)at  railway  biidge 

2U 

122  715 

581- 

») 

Nalgaiiga  at  railway  bridge    ... 

213 

153  S46 

722- 

14 

South  EBK  Ihdia. 

Oodavari  at  Rajamandn 

120  000 

1350  000 

11-2 

2-3 

Kiatnu  at  Bezwara       

110  OOO 

1188  000 

10-8 

1-9  I 

Tumbadra  at  Kamul 

20  (HIO 

270  000 

135 

Hi  ' 

fnveri  at  Frazerpett 

reri  at  Seringharo 

415 

IIIOOO 

2673 

12-5 

28  000 

472  500 

16-9 

2 

neratNellor           

20  000 

359  100 

18-1 

2 

iratArcat 

3  700 

270  000 

74  2 

5-7 

inbrapnrni  at  Palamcotta   ., 

687 

189  000 

324-0 

16 

iiettnr  a,t  AIHgyapandrnpuram 

486 

29  700 

60-8 

3 

Vigay  at  Madura          

KanjitaDtlu  at  Balagnnta 

1600 

43  200 

270 

2 

90 

10  800 

1215 

4 

29 

28  088 

972-0 

23- 

Varhazaiiamatlii  at  Periacolam 

41 

8  100 

202-5 

5- 

Irriti  (Malabar)           

3 

36 

149  850 

4460 

19 

*  Sea  ^tff*  iz.  uid  In.  «(  wmkiug  tkUw  ' 


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CO  !>•  C^  rH    kO      rH 


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t^  05  ^  !>•  CO 
CD  £^  CD  rH  CD 


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Uuhnnuddi  Serius,  Total  18200 


T),e  Rioer  Jamna. 


6  Juno  1872 

Maudftwnla 

w 

6  Juno  1872 

Bud 

It 

29  July  1H72 

ChaogBoa 

14i8 

19  Dec.  1872 

Bailwaj  bridge 

SI 

19  Deo.  1872 

West  Ghat 

!0 

19  Jan.  1873 

Railway  bridge 

25 

20  Jan.  1873 

West  Obat 
The  Biver  Sallaj. 

S9 

Jnn.  1856 

2i 

i  Feb.  1857 

1                  of  Canal. 

; 

41 

26  Jan.  1859 

.. 

41 

20  Dec.  1869 

..                     » 

4( 

21  Jan.  1861 

t.                     » 

4. 

IfS.  —There  is  reason  to  believe  that  these  are  in  ezceee. 


[11] 


Di9chafge9  of  Indian  Bivert — continued. 


2^e  Eiver  Bavu 
PlAoe. 

DIachugM 
incubio 
feet  per 
second. 

1872 

Shahdera,  Lahor  94  miles. 

703 

1872 

Alpah,  below  escape  147  miles. 

879 

1872 

Bhatdah 

509 

1873 

Shahdera 

687 

1873 

Alpah 

478 

1873 

Bbatiah 

271 

,1872 

Sidhuri 

7689 

1872 

» 

13452 

1872 

» 

1866 

L873 

i> 

2  296 

1873 

19 

3579 

,1872 

L872 

1872 


The  Eiver  Bia$. — ^At  Naushelira. 


7  498 

8  797 
3  464  at  Pakhowal 


19  Dec.  1872.        4901 
19  Jan.  1878.         5 117 


The  Eiver  Indta.^At  Kalabagh. 


.871 

21220 

Jan.  1873. 

.872 

18  657 

L872 

21  878 

.873 

20  781 

.873 

18  657  at  Den 

i^Ghazi-Khan. 

20  541 


.873. 


The  River  Kuram, — ^At  Kalabagh. 

545  (inclnded  with  the  Indus  discharges). 


The  Eiver  Indue,  in  1872.73.— At  Dera-Qhazi-Khan. 


72 
'2 

12 
'2 


Average  gauge  readings  for  each  month. 


6-27 
732 
9-28 
9-81 


r^ 


Aug.  1872  7-97 

Sept.  1872  619 

Oct.  1872  4-85 

Nov.  1872  3-98 


Dec.  1872 
Jan.  1873 
Feb.  1873 
Mar.  1878 


3-46 
355 
823 
3-68 


1 
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1   i    1  =  ^1 
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[13] 


1 

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<i  1 .  1 II  1 1 

Hi 

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li        «  s     i     II      i  3 

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£        tS       p    Wo(£       >.        CL, 

i 

11  iK     iiiiir 

[15] 


1 

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ml . 

-   PM 

S        : 

s.     ■ 

'—• ■ \ 

j!| 

1    s 

1 

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[W] 


The  ImJm»  at  Attock,  certain  reoorded  TsboitiM  am  M  bitoira, 
In  hot  amtaaa,  opposite  tort,  ydotity  18  tnilM  aa  boor. 
At  tnimel  Bit*,  in  cold  seaaon,  5  to  7  buIm  aa  hour. 

Do.  in  hot  season,  13  to  14  milea  aa  hoar. 

Snrftce  velocity  at  centra^  Dec.  1869,  9  milee  •: 
The  rise  of  ordinary  floods  is  from  5  to  7  feet  in  24  bonn  I 
and  is  50  feet  above  cold  weadier  lereL     The  flood  of  1841 « 
feet  above  cold  weather  lerel,  and  that  of  1858,  80  feek. 

Snra  Bieer,  at  the  I^or  ud  PMbawar.road  bridj^  7 

of  Peshawar,  the  wsterwa;  allow^  is  180  Uneal  feat     In  tiie  I 
JuIt,  ISlU,  the  flood  rose  18  feet  in  5  minntes,  and  had  a 
velocity  of  151  ft**  per  second.     The  soil  of  the  bed  conmsts,  fiist,  of 
18  feet  of  silt  aod  loose  sand,  then  S  feet  of  firm  sand  resting  on  cUj. 

iSi>M  Sirer,  IVnjab,  at  Labor  and  Peshawar  Road,  baa  a  cstchtnent 
area  of  573  sq.  tiiiles  ;  maxironm  flood  depth,  15';  mean  velocity,  8  to  9 
feet  per  second ;  slope  of  bed,  IV  per  mile ;  calcolatod  mean  relod^i  ' 
13' per  second;  9ood  discharge,  calcniatcd  from  sections,  91000  cnldi) 
feet  per  t«eond  =^  \"  over  the  catchment  basin  ;  the  perennial  streHS 
ia  never  less  than  1'  deep.  Bed  at  surface  'foonlders ;  at  11',  conglo- 
merate blocks ;  ikt  16',  a  hard,  dty  fonndntion ;  width  of  river  at  site 
Um',  hot  a  little  above  only  750 ;  clear  waterway  of  bridge,  9iS 
lineal  feet. 

Tie  Jamna. — At  the  Sirsawa  bridge  of  the  Delhi  Railway,  87  mil» 
SE.  of  Amballa,  the  waterway  allowed  ie  2376  lineal  feet;  st  Uiii 
place  the  Jamna  is  constant,  for  six  months,  from  April  to  September, 
being  snow-fed  ;  it  rises  in  ^larch  and  falls  in  October ;  at  the  ate  tliB 
soil  is  gravel  and  coarse  sharp  sand,  above  the  bridge  sit«  it  connsls 
of  large  141b.  boulJerd.  Its  flood  velocity  is  8  miles  an  honr,  aeoat- 
ing  the  bed,  canying  along  the  bonlders  and  depositing  them  80 
feet  below  the  onlinaiy  bed  of  the  river.  In  1S67,  the  river  rose  is 
flood  to  two  feet  above  its  banks  ;  iu  1868,  14  inches  above  that  again. 

The  floods  of  the  Jamna  at  Allahabad  were  recorded  by  Mr.  Sibley, 


s  1961  to  186S,  obaervatioDB  being  taken  daily  at  G  a.u.  and 

he  extrflme  Toriatton  of  ordinaiy  level  within  the  five  yeara' 

uw  waa  2  Feet;  the  extrome  variation  of  lowest  level  waa 
also  2  feet.  The  lowest  water  occurred  between  the  19th 
April,  when  the  rise  from  snow  melting  begina.  The  gi'eat 
to  the  periodic  rains  generally  begins  on  the  19th  or  2l>th 

le  highest  flood  generally  occurred  between  22nd  and  26th  of 
the  highest  flood  recorded  wae  in  1832,  a  little  higher  than 

861. 

L.  high  flood  161-6,  8  days  over  155  and  4  days  over  1(30. 
Li      ...  141-5  lowest  recorded  flood. 

B.  li.      ...  155- 

B.  L.      ...  152-5 

of  ISCl  were  exceptionally  long  in  deration. — The  lowest 
Sood  was  80  feet  above  low  water  level,  the  averse  40,  and 
nnm  50  feet :  the  maximum  velocity  meftfluring  950  feet  in  81 
s  12  feet  per  second,  and  for  12  daya  being  more  than  10  feet 
id.  At  the  period  of  greatest  discharge  the  mean  surface 
Kas  10  feet  per  second,  and  the  mean  sectional  velocity 
vr  second ;  the  sectional  area  at  that  level  being  145  000 
jt,  the  discharge  per  second  waa  1^  million  cabio  feet. 

ver  supplies  the  Eastern  Janma  canal  with  about  1065  cubic 
lecund,  the  Western  Jamna  canal  with  abont  2500,  and  will 
dy  the  Agra  canal  with  800  cubic  feet  per  second. 

Markanda  at  Hasaanpur,  in  1859,  by  Mr.  C.  J.  Campbell,  C.E. 
ridgo  site,  where  the  banks  are  well  deflned,  ie  about  three 
ow  Hassan  p  or. 

1577  feet 


channel 
tares 

slope    ... 
looi^ 

e 

1845      ... 

'  flood  depth 
J  of  bridge 
»f  roadway 
of  the  bed  is 


t  per 

6-15  feet  per  second. 

,   35  -370  cubic  feet  per  second. 

,  47  838  cubic  feet  [jer  second, 

10  feet. 
,     6  to  9  feet. 

1  073  lineal  feet. 

24  feet  above  bed. 
Sand  and  silt  for  40  feet  in  depth. 
k 


(18] 

Tbe  Son  Ricer,  in  Bonga],  U  425  miles  long,  rising  near  Anna 
Eiuitak  in  Central  India,  the  first  325  mtlea  of  it«  coane  an 
rocky  conntry ;  it  emerges  from  the  Kaimor  hills  &t  SJuitu. 
miles  from  its  conflaence  with  the  Ganges  at  Patna ;  the  tad  Ilfl 
miles  being  in  the  plains.  The  river  is  three  miles  brood  at  TeLotloi 
and  generally  in  the  plains  is  two  miles  in  breadth  ;  for  eight  mm 
in  the  year  the  stream  ia  a  qnarter  of  a  mile  broad.  The  etti 
flood  discharge  is  said  to  repreeent  2\  inched  of  rainfall  over  tiia* 
catchment  area  in  24  hears  (the  heavy  floods  norer  ezccedii^ 
days) ;  in  this  state  half  »*•■'  wni"'  U  thrown  orer  the  ooondyb 
Hasaanra.     The  lowest  c  dry  aeasona  is  400)  csliic 

per  second.    Daring  the  i  ■  referred  to  in  the  talilo  iif  &k 

charges,  the  rain  Irom  Jon'  :>er  inclusire  wad  at  SJiatabi^ 

21-3  inchos;  at  Bahar,  ]  it  Patna,   196;    it  is  gc 

85  inclies  at  each ;  thong!  a  following  the  rainless  jmr  til 

fall  at  Patna  was  50  fnohe. 

At  Dchri,  a  town  69  ;  Patna,  are  the  headworks  dt  tii 

Son  canals,  and  the  oanm  irasd  Tmnk  road.     The  cbaniri 

of  the  river  here  varies  i  miles  in  bretidib,  and  baa  a 

of  &om  1'75  to  3  feet  per  mile,  ana  iw  flood  rise,  or  difference  between 
■nmmer  and  higb-flood  level,  is  from  14  to  20  feet ;  its  discharge  viriaj 
from  4000  to  one  million  cnbic  feet  per  second.  The  bed  is  composeil 
of  shingly  sand  to  a  groat  depth.  i 

It  is  nnfortunate  tbat  the  diagrama  of  tbe  gangiogs  of  tltis  TiTBt* 
as  well  as  those  of  tbe  Ganges,  the  Kodra,  the  Kara,  Panpnn,  Dtv- 
gauti,  Chandarprobab,  Soramnassa,  Morhar,  and  Sara,  recorded  by  tha, 
engineers  of  the  Son  canals  in  1872  and  18*3,  are  not  yet  availabla. 

The  Gonget. — Tbo  discbarges  of  tlia  river  given  in  Oie  tsU(^ 
obtained  from  Bcordmore's  work,  were  taken  nnder  tbe  follova^ 
conditions : — 

1st.  Tbo  qnontides  at  Benaros  yrcra  taken  from  a  section  by  Prina^ 
on  the  25th  April,  1S29,  after  a  long  int«rval  without  rain :  tbe  ana 
of  the  section  was  48  G5U  sqnare  feet,  the  width  14*^0,  the  mean  dqitk 
34-75  feet,  the  mean  veloci^  23-5  feet  per  minnte;  the  maxiiainii 
discharge  at  the  same  place  waa  computed,  when  the  river  was  3l>04 
foet  wide,  and  bad  on  average  depth  of  58  feet,  and  secfJonal  ana 
175  000  square  feet,  the  mean  velocity  being  about  44^  feet  per  minata 

2nd.  The  ganging  at  Kot,  near  Balliab,  was  taken  by  Ldeutenant 
Garforth,  in  the  first  week  of  May,  1S5I),  when  the  river  was  at  ill 
lowest;  the  seotional  area  waji  587C  square  feet,  width  at  waler-Iere 


'XiS  feet,  menu  Telocity  111  feet  per  minute ;  tbe  maiimnm  velocitj 
:^  mid-ch&nnel  was  198  feet  per  mmnto,  which  greatly  exceeded  that 
1  olher  pUtces  where  the  river  was  deeper;  tho  maximnni  depth  in 
'  III  setTtion  was  9'42  feet  in  a  narrow  pluve  only  120  feet  wide,  the 
fcmainder  of  the  section  varying  from  4  to  G  feet  ia  depth. 

3rd.  The  gtiaging  at  Sikrigoli  was  taken  on  the  0th  March,  1829 ; 

b-t  this  place,  3L>  milos  above  the  delta,  the  Ganges  has  received  the 

Oogra,  the  Gandak,  Kusi,  Son,  and  other  rivers,  whose  united  volDme 

W  Inqnently  more  than  that  of  the  Ganges  proper,  Jamna,  and  other 

^fflaoots  which  form  the  river  at  Danaras.     Tho  data  for  ganging  were 

fallows  :  breadth  about  600(J  feet,  depth  3  to  5  feet,  sectional  area 

La  0(X)  square  feet,  mean  velocity  aboat  S6  feet  per  minnte  ;  in  extreme 

the  breadth  is  about  li)  000  feet,  mean  depth  28  feet,  sectional 

U  I.NJO  aquare  feet,  the  mean  velocity  being  about  440,  and  the 

CUOfoet  per  minute, 

Th«  Gauges  seems  to  have  preserved  its  general  course  for  ages 

down  to  Suli,  Si  miles  below  Rajmahal,  where,  at  some  period  within 

4ba  range  of  tradition,  some  alteration  in  the  banks  caused  it  to  bo 

Averted  from  its  former  wosteni  course,  now  known  as  the  Bhagiratti 

aa  for  ns  Naddia  and  as  the  Hnghli  (not  an  indigenous  name]  below 

it.  to  its  present  eastern  course  by  Rampui'-Bauliah  and  Jellinghi 

■  tiiL-h  joins  that  of  the  Brahmapntra  to  form  the  Megna  estuary. 

There  is  a  lamentable  want  of  available  accurate  modem  informa- 

L  iLS  to  the  physical  conditions  and  disehargcB  of  this  river. 


The  Damuda. — This  river  rises  in  the  Sonthol  Hills,  its  upper  portion 
ud  its  trihutariea  being  comparatively  unknown  ;  it  becomes  a  single 
Mid  defined  channel  at  about  23  miles  above  Raniganj,  and  passing 
through  the  coalfields  of  that  tract,  enters  the  yellow  clay  of  the 
delta  near  Burdwan,  52  miles  bolow  Raniganj,  whence  it  continues  to 
Seltmabad.  At  Selimabad,  16  miles  below  Burdwan,  is  an  old  branch 
of  the  Damuds.  which  flows  into  tho  Hughli  above  the  town  of  that 
Rftme  ;  but  the  present  coarse  is  by  Ompta  to  the  Hnghli,  opposite 
■  iilta,  a  length  of  GO  miles,  This  river  is  interesting  on  account  of 
floods  frequently  inundating  tho  country  ;  remedial  measures,  the 
..|>rovemcnt  of  its  embankments  and  the  damming  up  of  tho  old 
bruich,  were  unsuccessfully  attempted  in  1857  by  various  miiitaiy 
BgiiieerH.  Thcr«  is  a  large  amount  of  Governmental  correspondence 
n  this  snbject,  but  no  valuable  hydraulic  data  ;  in  fact,  the  velocity 
bblca  of  tho  Aoods  give  as  a  maximum  77  feet  per  second,  or  5 
nilw  an  hour,  or  less  than  half  what  it  must  be.     In  1872-73  Bom« 

k  S 


bjdisalio  obeervationB  were  ma^e  by  the  civil  cngineerB  emplojeil 
on  the  Otissa  canals,  bat  t)io  rtMurds  are  not  yet  available. 

The  Dmiiuiln,  with  a  catchment  basin  of  7000  miles,  ha*  ■  fl«4| 
discharge  representing  '125  inch  per  hour  of  nunfiUl. 

21«  MihanaJdi  and  itt  Tributariei.—'Redaced   levels  of  (he  Bdoi' 
ftnd  low  Water  sections  of  the  Mahanaddi  for  the  last  200  miles. 


At 

SonpOT 

Barmnl  Pass  entrKoce 

Do  exit 

Eantaln  ...         ... 

Baidesanr  

Chirchika  

Natui     

Eattak  

Uonth  of  Katjnri,  Jaipor 
Month  of  Uahut&ddi 
Mean  Sea  Level 


0 

3655 

8J« 

.     &} 

S16-5 

175  S 

n 

215-5 

175-S 

,     M 

165.5 

ISM 

,     107 

1»5 

11« 

.    115 

189-6 

eM 

.     135 

fl2-5 

m 

..    144 

77-5 

S5^ 

.     ITS 

37-5 

IS-i 

The  TributAiies  of  the  Mahanaddi. 


Diitanoe    Wiillh 


Kaligiri.. 


Baidessnr 

Kantiln 

Bentpara 


Salki Above  Boad  120i 

B^     Dayah  136 


Mimi Lowpara        141 

TeJ Sonpor 


200     Alluvial. 
320     Eocky  above 
SOO      Sandy  and 
rocky. 
Ditto. 
Ditto  and 
Very  rocky. 
Sandy  and 
rocky. 
143       3470         Ditto. 


465 


400 


The  Mahanaddi  and  Eatjnri  have  in  high  floods  velocities  of  7  ftt 
per  second.  At  Nart^  the  Mahanaddi  emerges  from  a  rooky  ridg 
only  ^  mile  wide  into  a  wide  basin,  3  miles  broad,  and  4  miles  Ion 
reaching  to  Eattak.  The  head  land  of  the  delta  at  Nar^j  divides  tl 
Mahanaddi  north  of  town  from  the  Eatjui  sonth    of  town.     Tl 


W^tt . 


r  bffinenta  of  tlie  Mahft&acldi  &»  ita  luDy  conntry,  and  ma; 
■Kid  to  be  oneiplored. 

From  gttugings  at  Kattak  it  appears  that  the  ordinary  embanked 
vlinnnala  of  the  delta  could  only  carry  off  a  flood  rising  to  20^  feot  on 
*i»o  gauge,  and  half  a  flood  rifting  to  27  feet— iiecoe  the  dovaBtatlon  so 
oflen  caused  ;  a  flood  over  20j  feet  may  last  seven  days,  although  they 
T«nwin  at  full  height  for  only  12  hours.  There  is  a  sounding  of  80 
feet  of  wat«r  in  the  bed  between  Baidessar  and  Dewakot,  being  16^ 
feet  below  mean  sea-level.  The  Bauki  reservoir  covers  an  area  of 
15<'i  square  miles,  having  a  mean  flood  depth  of  20  feet,  and  gives 
cne-tliird  of  the  relief  from  flood  that  ia  required.  Total  flood  dis- 
charge from  27th  July  to  3rd  Anguat,  1855,  761  billion  cubic  feet ; 
of  which  MS  billions  can  be  carried  ofi'  in  the  river  channelB,  leaving 
21C  billions  in  7  days  ^  iOO  000  cubic  feet  per  second  to  be  provided 
for  by  reservoirs,  cuts,  and  special  arrangements. 

The  historian  of  this  river  is  Captain  HarriB,  who  laboured  many 
yvars  in  eDdeavoaring  to  mitigate  the  cfiects  of  its  floods. 

The  Godavari  rises  at  Naasik,  lat.  20°  0',  loog.  73°  47',  and  passes 
south  of  Anrungabad,  through  native  territory  for  450  miles,  nntil  it 
joins  the  Pranhita  at  Sironcha.  Its  basin  is  about  GO  000  square  miles, 
ci»  including  its  tributaries  120  OOO  square  miles.  Above  Sironcha  it 
is  nnnavigable,  and  had  a  discharge  in  February,  18G6,  of  only  300 
Cubic  feet  per  second.  Prom  Sironcba  to  Palmilla,  about  33  miles, 
the  fall  of  the  bed  is  '5  feet  per  mile,  and  this  part  of  the  river  is 
navigable ;  the  Pranhita  baving  contributed  a  discharge  of  726  cubic 
feet  per  second  (Feb.  1866).  From  Palmilla  to  Enchampilli  is  a 
barrier  of  rock  14  miles  long ;  known  as  the  second  barrier  of  the 
Codavari,  above  wJiich  the  river  is  1300  yards  wide.  From  Ihicbam- 
pilli  lo  Dammagudiam,  70  miles,  the  river  has  a  fail  of  1  foot  per 
mile.  At  Dammagudiam  there  ia  a  barrier  of  rock  S  miles  long, 
known  as  the  1st  barrier  of  the  Godaveri ;  at  this  place  the  river  is 
1700  yards  wide,  the  discharge  being  1S78  cubic  feet  per  second  in 
May,  and  9375  cubic  feet  per  second  in  January,  having  a  current  of 
3  to  6  miles  aa  hour.  At  Gollagndium,  about  20  miles  below  this 
barrier,  the  discharge  in  Feb.  1866  was  2825  cubic  feet  per  second. 
At  Polaveram  the  river  emerges  from  the  hills,  80  miles  below  the 
1st  barrier,  and  20  miles  from  the  town  of  llajahmandri,  which  is  4 
miles  from  Dowlaishwaram,  the  head  of  the  delta :  for  these  104 
miles  the  fall  is  about  'S  feot  per  mile.  At  Falaveram  the  river  gorge 
is  only  S'tO  yards  wide  (February,  1866),  but  the  floods  rise  to  60  feet 
al(ovc  the  February  level ;  very  high  freshes  occur  three  times  iu  tin 


1 


(22] 

maiuanaad  lut  for  four  (fffive  days;  tbegenonlreloeitjcf  tfaeit 
then  being  ■>  miles  an  hour.     Tlio  river  is  na%')gable  from  Sira 
dowawonis,  excepting  at  the  barriers,  ilnring  tbe 
from  Decombor  to  Ma^.     It  has  three  muiaTigable  tribatUTM;! 
ladrawatti,  joining  it  above  tbo  2nd  burier,  whicli  is  300  milea  ta 
diMcbarging  150  cubic  feet  per  second  (Feb.  166(3);  the  Sih 
miiea  ioag,  dinchnrging  600  cubic  feet  per  second  (Feb.  1866),  I 
joining  it  below  the  1st  barrier;  and  the  Jal,  100  mtlea  long. 

From   Sironcha  to  the  let  barrier  the  river  channel  has  do  f 
manence  of  form,  it  shifla  i  and  forms  large  bank 

shiiting  shoals ;  the  banks  are  ib  rocks  that  occur  are  Hod* 

stones  and  Bomctimea  limoator  the  1st  barrier  to  the  hadol 

the  delta  the  channel  is  comp  manent,  the  banks  are  bmg^ 

.  the  ssnd  is  large  and  coarae  uiring  a  powerful  carrmtts 

displace  it,  the  rocks  are  m^  d  form  natural  groins,  whidi 

aid  in  giving  pcrmanenoe  to  From  the  delta  head  domt- 

wards  the  river  mns  in  a  m  ment,  6'  to  24  feet  above  At 

level  of  the  country ;  Ha  bed  per  mile,  tbe  sDmrner  wilff 

surface  ■"  feet  per  mile,  and  the  digu  u^^  surface  125  to  1'50  feet  pa 
mile,  down  to  the  month,  40  miles  below.  In  the  delta  the  river, 
when  in  full  flood,  has  a  width  of  2j  miles,  and  a  sorface  velodtj  of 
4ii  miles  an  honi ;  tbe  rise  of  surface  varies  from  20  to  50  feetj  tlw 
last  two  feet  of  rise  being  never  maintained  for  more  than  two  honit. 
From  the  middle  of  June  to  the  middle  of  September  tbe  Tolnme  il 
always  more  than  12O0O  cubio  feet  per  second;  daring  the  rest  of 
the  year  3i".Ml  cubic  feet  per  second  is  considered  its  ordinary  minimam 
supply.  In  excessively  dry  years  the  discharges  have  been  as  foUom; 
December,  16  875  cnbic  feet  per  second  ;  January,  8<)47 ;  FebroMT, 
3825;  March.  27B2 ;  April.  2047;  May,  1687;  first  half  of  Jam 
1500  cubic  feet  per  second. 

I%e  Upper  Tributariet  of  the  Qodacari,  that  together  form  ttf 
Praubito,  which  is  i)0  miles  long  from  Tallodhi  to  Sironcha,  are  thi 
Wardo  250  miles  long,  which  rises  in  the  Satpnra  range,  and  afler 
being  joined  by  the  Wunna  at  the  falls  of  Dindora,  becomos  navigable 
for  tlio  last  100  miles  of  its  course  ;  the  Poinganga,  which  rises  in  tlu 
hills  south  of  Bcrar,  and  afler  an  unnavigable  course  of  320  milM, 
joins  the  Warda  above  Cbanda ;  and  the  Wainganga,  which  rises  is 
the  Satpura  range  north  of  Nagpur,  takes  a  coarse  of  430  mileB, 
unnavigable,  and  joins  the  Warda  at  Tallodhi.  The  Pranhita  is  like 
the  lower  portion  of  tlio  Warda  navigable  for  throe  months  in  the 
year,  from  Tallodhi  to  Dowalmarri,  whore  there  is  a  barrier  of  rodi 


^^Hp  long ;  below  this  to  Sirondia  it  is  navigable  for  Toar  moaths. 
^^^■B  of  its  bed  ia  aboat  1  foot  per  mile,  §o  nlso  is  tliat  of  ths 
^^^Bin  ita  navigable  portion.  Above  this  tlie  Warda  falls  i  feet 
^^^3e,  and  the  Wonoa  2  feet  per  mile.  The  Wainganga  bas  a  fall  of 
^4t>  feet  in  19'2  miles,  from  Kamptito  iti  moutb,  or  2'8  feet  per  mile. 

In  lHi»4-ti7  an  attempt  was  made  by  Col,  Haig,  aided  by  Captaina 
ftn\»  iIm  and  Jackson,  to  open  a  navigable  commanication  from  Din- 
■nk  to  the  coast ;  it  was,  however,  at  last  abandoned,  on  ftccount  of 
bk  «zcefisive  expense. 

n«  Kiitna  rities  north  of  Sattara,  Bombay  presidency,  in  latitude 

US',  and  enters  the  sea  35  mtlos  SW.  of  Masntipatam  ;  its  catchment 

»rai  being  30  000  aqnare  miles,     It  is  a  perennial  river  GOO  miles  long, 

-entering  the  plains  at  SO  miles  from  its  mouth,  and  there  becoming  an 

important  river,  is  ntULzed  in  irrigation.     In  the  dry  weather,  from 

V--T.tnber  to  Jnnc,  its  supply  is  very  small,  being  derived  prinoipally 

.  springs  in  its  bed ;  from  July  to  October  it  varies  mach,  even 

■  ^'  as  much  as  10  feet  in  21  hours.     In  full  manaun  there  is  ft 

tiint  stream  20  feet  deep,  the  crest  of  ita  banks  is  from  20  to  40 

in   height,   and  its   section   from    Ij  to  2|  miles   broad.     At 

A  ara,  the  head  of  the  delta,  60  miles  from  the  eea,  where  are  tho 

'    ontlying  spurs  of  the  hills  and  the  anicat  or  dam,  the  river  ia 

I  yards  wide,  and  has  a  depth  in  dry  seasons  of  from  5  to  6  feet, 

-■ernge  freshes  of  31,  and  in  highest  freshes  of  38  feet.     In  the 

■Ji'ltn  it  mns  on  an  elevated  ridge,  having  an  average  fall  to  the  sea  of 

1  foot  per  mile,  varying  from  -0  to  1"1  feet;  the  fall  of  the  country 

on  both  sides  towards  the  sea  being  1'5  feet  per  mile.     The  irrigation 

of  tho  delta,  commenced  by  Captain  Orr,  provides  for  taking   off 

8600   cubic   feet  per   second   for  each  aide  of  the  river,  bnt  these 

works  are  still  in  an  incomplete  state  ;  the  irrigable  area  on  each  bank 

being  capable  of  utilizing  32  000  cubic  feet  per  second  daring  tha 

teoBon  of  cultivation. 

The  tribuiariei  of  the  Kiatna. 

The  Tungabaddra,  tho  most  important  tributary  of  the  Kistna,  has  a 
length  of  about  213  miles  from  Gutal,  where  its  upland  tributaries, 
tlie  Tnnga,  the  Baddra,  and  the  Choardi  join  the  Worda,  to  i\M 
JBDction  with  the  Eistna,  at  aboot  81  miles  below  Karonl.  These 
fooT  npl&nd  tribntariea  drain  an  area  of  3?54  sqnaro  miles  in  the 

;  of  Maisur,  a  portion  of  which  is  hilly  oountiy,  1 
dawnponr  of  185  inches,  the  remainder  being  plains  with  a  dow] 
pow  of  only  21  inches. 


i 


Of  Uioae,  tbe  Warda,  dFaining  610  aqnara  miles,  bas 
small  anicats  on  ite  feeders  ;  its  ordinary  mausan  discbai^  is 
MannitJ  to  be  50O0,  aad  its  maximum  flood  diaebai^  30  00 
feet  jwr  second.  The  Haggri — joiued  by  its  affluent,  the 
Haggri,  wbich  falls  into  it  near  Sluk^mnru — feeds  the  large  Ejn- 
kaira  aod  Aladdak  tanks  in  a  comparatively  rainlesa  district,  and  mij 
erentaolly  alao  enpply  an  intended  large  reservoir  at  the  Maori  Em- 
wai  pass,  where  ita  discharge  has  been  ganged  for  two  yean,  giving  y 
an  onlinnry  manann  diechargo  4500  and  as  a  maximnm  flood  digduifi 
50  000  cwbic  feet  per  second. 

The  Tnnga,  after  being  join  Baddro  at  Endli,  is  joined  lij 

iba  Choardi  at  10  miles  above  ,  and  at  Horihar  iteelf 

Snlikcrri ;  the  maximum  flo  ^  of  the  combinatioD  of  Ibl 

tiiree    at  the  lai^  bridge  has   been  determined  to  it 

207843   cnbiu  feet  per  sec  c  ordinary  mansnn  dischugt 

roaglily  calcnlated  to  be  v 

At  Wallabapur,  at\er  a  5   railea,  the  TuDgaboddn  il  j 

joined  by  two  tribntarica,  ant  Oth  mile  by  the  Saggii,  alhr  1 

which  it  posses  Sunkesola  at  iia  u  uiie,  and  Karaol  before  joinlBf  1 

the  Kistua.  At  SunkcEala  are  the  hcadworks  of  a  series  of  canali,  | 
flowing  thence  to  Caddapa ;  and  Wallavapor  is  the  proposed  site  of  ' 
headworks  for  a  high-level  canal,  tbonce  passing  Ballari  to  Eontnl 
In  order  to  afl'ord  further  snpply  to  those  canals,  it  was  propoaed  to 
mlargo  existing  reservoirs  and  make  others  on  the  upland  tribntaricsof 
this  river ;  and  with  this  view  some  gangings  were  made  on  them  for  si 
months,  from  June  to  November  1865,  giving  the  following  reanita:— 

8q.  milea.  Hillion  cub,  ft.      laohee  nm  oC 

The  Tnnga,  at  Shemnga    ...       950  229  6G2          108 

The  Baddro,  at  Benkipnr  ...       884  125  928            03 

The  Choardi  to  Maddak  tank       486  54  000            SO  in  flooda. 

The  Haggri,  at  Herinr       ...     1400  1 350 

The  Tnngabaddra  at  Wallabapur  356  940 

The  Tungabaddra  at  Snnkosala  569  700 

The  proposed  reservoirs  on  the  tributaries,  intended  to  store  it* 
aboTo  snppliea,  and  render  the  present  Tungabaddra  canals  peremM 
ftre  the  Mudaba  on  the  Tunga,  the  Lakkawali  on  the  Daddra,  tbe 
Masuj-  on  the  Choardi,  and  the  Mauri  Ennwai  on  the  Hi^gri. 

Fnrther  information  about  the  upland  tributarioa  is  given  amoog 
the  tabnlar  data  of  the  rivers  of  Maisnr. 


[25] 

Sc  pinner  rises  in  Kaieur,  alxmi  180  miles  above  the  Madras 
A»j-bridge,  down  to  which  point  its  catchment  area  is  -tSOO  aqaaro 
■■i-  At  Pemr,  where  its  upland  tribataries  Lave  joined  it,  tha 
tuutnel  is  larger  and  becomes  iinportant ;  from  this  point  its  coaree  is 
bent  110  miles  in  length,  without  having  any  important  tributary,  to 
■  jonctioQ  with  the  Chittravatti  abore  Jamalmagdu,  where  the 
■Icbment  area  of  thp  latter  stream  is  3325  square  miles :  the 
flood  discharge  of  the  Chittravatti  is  23  100  cable  feet  per 
id  its  ordinary  mansun  discharge  is  about  one-tenth  of  that. 
Lboot  40  miles  below  this  its  tributaries  the  Knnder  and  the  Papagni 
it,  the  one  having;  a  catchment  area  of  3000,  the  other  of 
-100  aqnare  miles :  the  latter  has  a  maximam  flood  discharge  of 
. :  i  i  cobic  feet  per  second,  and  an  ordinary  mansun  discharge  of  about 
tc'Dth  of  that.  At  32  miles  below  this  the  Sugaler  and  the  Cheyer 
■  L.  il.  At  18  miles  below  this,  and  at  70  miles  from  its  debouchpieut 
\ato  the  sea,  ia  Somcshwaram,  where  the  river  leaves  the  Western 
glials,  the  site  of  the  proposed  headworks  for  a  deltaic  canal  to  irrigatfl 
ihe  Nellor  side  of  the  delta.  The  total  length  of  the  river  from  Ferar 
io  the  sea  is  about  270  miles.  Its  upland  tributaries  in  Maisur  are 
ililiied  (see  tables  of  the  rivers  of  Maisur),  but  for  the  rest  of  its 
x>arse  down  to  the  head  of  the  delta  the  river  now  flows  on  unimpeded. 
Dd  the  Kondcr,  at  25  miles  above  its  jnnction  with  the  Pcnnor,  is  the 
Bajoli  Dam  and  sabsidiary  headworks  of  the  chain  of  canals  from 
BnnkeBala  to  Caddspa  ;  the  tributaries  of  the  Kundcr  are  also  utilized 
in  the  same  way,  affording  irrigation  to  the  large  valley  of  the 
Eundcr. 

For  the  greater  part  of  the  year  the  Penner,  as  low  even  aa  the 
Ujdms  Railway  bridge,  is  dry  at  the  siu-face,  though  at  from  1  to  4 
fitt  in  the  bed  plenty  of  water  can  always  be  found.  The  ordinary 
iuiuison  floods  are  6  to  8  feet  deep  ;  the  extraordinary  floods,  13  feet 
At  the  bridge-site  the  river  is  1550  feet  wido  ;  the  soil  is  clay  for  5 
feet,  gravel  mixed  with  clay  and  kunknr  nodules  for  4  feet  more, 
rcBting  on  a  layer  of  sand,  anperimposed  on  hard,  dark  greeu  koukur. 

lie  Eaveri  rises  in  the  Western  Ohata,  and  has  a  catchment  area, 

together  with  its  delta,  of  32000  square  miles.  It  is  fed  by  both 
niansans,  and  i(e  volume  is  abundant  from  the  beginning  of  June  to 
te  end  of  December.  The  discharge  on  the  ■Ith  December,  1833,  at 
the  head  of  the  delta,  was  16  875  cubic  feet  per  second,  according  to 
Col.  Cotton :  but  in  high  flood  the  discharge  is  as  much  aa  320  G2o  cubic 
lUil  |ier  second.     From  January  to  May  the  discharge  is  small,  muoU 


mob     J 


kn  Stbn  16  000  ealnc  feet  per  aeoond ;  tbongh  then  are  &«diBt<ii 
HrfoK  and  April  due  to  local  BtonoB.  Above  Senngham,  in  Taiiji 
KkTori  litivideB  itaelf  Into  the  Kaveri  and  the  Kala-on  branches,  wiak- 
inigatc  the  delta,  none  of  the  water  reaching  the  eea. ;  thU  1 
the  gTbnd  anient  of  Seringhani,  constructed  by  the  Telinghi 
mnote  antiqiiitj,  and  restored  and  remodelled  by  Col.  Cotton, 
1880  and  1S3G.  The  elope  of  the  main  stream  obore  the  biihctliai 
ia  8*6  feet  pc^r  mile  ;  from  tliat  to  Seringham,  that  of  the  Kslemsk 
2  feet  per  mile  ;  from  Seringham  to  the  sea  coast,  its  average  alcosJl 

1  foot  jier  mile.  The  geaerol  main  Kaveri  branch  it  -i  fett 
pormilt;  lesathanthatof  the  J  lefore  1830,  12  622  enbicfttt  j 
per  seooud  was  utilized  in  in  the  Ksveri  branch,  indUM  j 
cabio  feet  per  second  from  Q,  or  16  4:74  cnbic  feet  p«  j 
noond  in  all,  out  of  16  87f>  ,  the  works  conatructed  by  I 
OoL  Cotton,  utilized  93  ?d  c  second  from  the  Kaveri  n^  { 

'7S00  from  the  KaJerun,  the  ing  as  nnch  from  excen  u  ' 

the  foi-iner  from  deficiency.  )oL   Sim  made  a  regnlsdng 

dam  acrosa  the  head  of  the  1  lowered  the  Kalamn  daa  << 

2  feet,  since  ^¥heIl  the  regimen  has  been  perfectly  under  control  Tha 
Kalernn  is  now  not  only  a  channel  of  irrigatioa,  bat  is  also  the  gent 
drainag;e  channel  of  tlio  delta;  the  Kaveri  ia  a  channel  of  irrigation 
only,  its  entire  volume  being  subdivided  into  small  channels,  tuA 
entirely  utilized,  although  in  its  upper  portion  it  is  a  mile  in  widlL 
Infomation  about  those  works  ia  given  under  the  head  of  the  Kalenm 
deltaic  canals. 

The  Tributariet  of  the  Kaveri,  consisting  of  the  Upper  Kaveri,  Uw 
Somavatti,  Hemavatti,  Lachmantirth,and  Lokani,  join  above  Serinn- 
patam.  Their  combined  marimum  flood  discharge  at  Bannor,  bdo« 
that  town,  has  been  roughly  determined  to  be  239  000  cnbic  feet  p» 
second ;  the  ordinary  manson  discharge,  for  a  depth  of  8  feet,  ia 
abont  30  WO  cubic  feet  per  second.  The  other  tribntaries  are  Um 
Kabbaui,  the  Arkaval  ti,  and  the  Shimsha ;  the  maximnm  flood  di» 
oharge  of  the  Kabbani  at  Nanjengod  is  calculated  to  he  63  TOO  cnhic 
feet  per  second,  its  ordinary  mansun  discbarge  about  one-tenth  of 
that ;  tbo  maximum  and  ordinary  mansun  dischargee  of  the  Arkavatti 
kt  the  Mangadi-road  bridge  are  calculated  to  be  50  000  and  3500 
mbic  feet  per  second ;  the  disohargei  of  Hm  Shiasha  are  aasomed  to 
be  identical  in  qnantity  with  the  latter.  Some  farther  infbrmatian 
about  these  tribntaries  ia  given  in  the  data  of  the  riTen  of  Maieor. 

Tke  Ihinhrapurni,  rises  in  the  Weetem  Ghats,  having  its  prinopd 


(S7J 

b  in  tlie  valley  of  Papanasean,  dntiiia  a  large  tract  of  hillj  and 
tnd  eonotry  under  Ibu  iuflnencc  of  botli  raansoDS,  and  falls  into 
k  Bontih  of  Taticorin.     Its  catchmoufc  area  ia  200  square  miles  J 
D  for  20  miles  is  in  foreat  covered  monntaius,  where  the  raio' J 
f  from  20O  to  300  incIieB ;  and  for  70  miles  in  pUina  at  the  fooH 
t  hills,    where  the  rainfall  is  from  20  to  30  inches ;  for  the  ■ 
J"  of  ita  coarse  it  receives  a  rainfall  of  only  18  inchea.     Its 
■  P^ttuiaeean,  and  that  of  its  tribntary,  the  Chittar,  at  Knrtallam, 
d  for  their  beauty,  and  are  considered  sacred.     There  are 
e  Bnicnte  on  the  Tambrapumi,  four  on  the  Chittar,  and  two 
I  itaonemabuar :  in  addition  to  tliat  now  nearly  constructed  at 
intam  by  the  English.     Its  floods  commence  in  7une,  whea  j 
Wvn  sometimes  10  feet  deep,  and  frequently  recur  during  tlu 

or  during   the  north-east  maosun.     The  i 
Itiie  hills  keeps  a  hot  weather  stream,  at  Strivigantom,  of  a 
)iibic  feet   per  second,  and  never  less  than  198  cubic  feet  per.^ 
in  March;  during  tho  six  months  the  discharge  i 
00   oabic    feet  per    second.     The   amount   of    its    discharg 
ibr  irrigation  ia    thus  estimated   in    the   Govenunont  i 


■c.  =  58  320  000 
c.=  28  382  400 
to  3  feet  per  i 


225  days  of  lat  crop  at  32  cubic  yds.  per  e 

45  dnya  for  2nd  crop  at  15  cubic  yds.  per  a 

46  days  for  2nd  crop  at  7j  cubic  yds.  per  s 
J  depth  at  StriTigantam  7  feet,  fall  2j 

y  5  to  5*6  feet  per  second. 

p  Upar. — The  discharge  of  this  stream   has  n 

e  any  observed  velocities  mentioned  in  the  Madras  government 

.   bat   its    flood   discharge    has    been    thus   approximated  to 

lation.     Its  catchment  area  is  342  square  miles,  and  it  is 

1  that  there  is  a  maximum  rainfall  in  24  hours  of  8  inches 

e-fonrth  of  it,  of  4  inchea  over  another  fourth,  and  of  2  inches 

indor,  and  that  the  stream  carries  oQ*  one-fourth  of  this, 

(■fourths  bebg  lost  by  absorption  and  evaporation,     This  gives  a 

■discharge  of  8850  cubic  feet  per  second. 


w 


A  UST  OF  THE  PIiraCn>AL  CANALS  OF  DiBU. 


yarthern  India. 

PCLLI  PBVltOPEO. 

Sinir. 

Source. 

catsM 

TheWertem 

Jamiia  Canal 

The  Janina  . 

.     2372 

TheEftitwv 

amna  Canal 

The  Janma  . 

.      1008 

TheGugMA 

nd  Lower  G 

s     The  Ganges  . 

.      5100 

The  Ban  Dot 

b  Canal 

The  Eavi       . 

.       2201 

m 

MOPSLLraa. 

Cuulsi 

d  in  Rohilkwid. 

UNO 

EUCnOM. 

The  Sarhind  Cuiial 

The  Satlaj     . 

.      3000 

TheAgiaCaruJ         

The  Janina    . 

.       20U0 

The  Oriaaa  CanalB     

The  Mfthanaddi     varioui. 

The  Son  Canal           

The  Son 

.      5300 

The  Sakhar  Canal      

The  Lidus     . 

.     onknowa. 

Northern  India. 

The  Upper  Sntliij  Canals 

iggregate  length 

234iiiitM. 

The  Lower  Satlaj  OaoalB 

„ 

41s     „ 

The  Chenab  Canals         

„ 

222     „ 

The  Jhclam  Canals          ' 

„ 

nnlmftWIL 

The  Indus  Canala  in  the  Panjab 

,, 

577mil«. 

The  la&m  Ca 

jials  in  Sind 

„ 

nnknown. 

Perennial  Canalt  in  Bouikem  India, 
The  Tnngabaddra  Canals  (not  yet  rendered  pereoniaJ)    ...      3i 

Inundation  Canatt  in  SotUlum  India. 
The  Deltaic  canala  and  anicnts  of  the  Kadiaa  presidency. 
Minor  Canals  in  the  Bombay  presidency. 
The  anicnts  and  channels  of  Uaisur. 


■ 

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12  000 

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9337 

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12  000 

11266 

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10206 

—2118 

12  000 

9883 

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„ 

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10  797 

—1186 

12  000 

10814 

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7»i  r» 

S0S5S 

0982 

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12  000 

19  701 

UM-K 

90S^    ?03  .  W290 

10874 

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12000 

15  652 

I8S-M 

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47M 

9  759 

12  000 

21769 

IWMJ 

SKI    U 

UN  106 

9489 

9642 

12000 

21642 

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3171    317 

112  sae 

10170 

19  797 

12  COO 

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8  227 

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12  000 

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16  568 

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19  634 

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im-ui  im  isi 

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I8U-H     Ml      U 

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10314 

18  7S5 

37.256 

56041 

SM-W     S««      « 

127092 

16927 

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37256 

46  361 

SU-K  1  ;!»    172 

128  982 

14161 

15  727 

37256 

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i6«-47  6  cr?  1  56S 

135  2S7 

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^^I^^B 

1 

[31] 

W              Financial  Slatistict  of  CanaU.—Panjah. 

Abstract  of  R«BtiIts  on  tlie  Weatom  Jarona  Chuii]. 

! 

Capitja  OuUij. 

Working 
Kxpenae.. 

Direct 
BeTenne. 

Total 
EWuni. 

11 

t! 

irrigatri. 

OripMl 

Woiki. 

11 

ToUlW 
end  of 
yew. 

r^4s 

655 

S. 
55 

13S888 

10  539 

& 
18  529 

55  786 

41 

J-49 

6  050 

60£ 

142  493 

12  468 

18  491 

55  747 

41 

MW 

2  087 

209 

144  788 

14117 

17356 

54  611 

38 

>-51 

342 

34 

145164 

13  793 

16  732 

53,988 

37 

1^2 

11248 

1125 

157537 

12  548 

19  856 

57111 

SO 

1-68 

7  550 

756 

165  842 

15  008 

17647 

54  803 

35 

1-54 

6  871 

687 

173  400 

12  603 

21928 

59185 

38 

i-&o 

1931 

195 

175  547 

10  297 

18  983 

56  239 

32 

5-56 

984 

127 

176  057 

12  424 

21871 

69127 

34. 

5-57 

1956 

2C1 

178  874 

16  938 

9  386 

46  642 

26 

r-58 

491 

81 

179  446 

10  064 

12  754 

50  011 

28 

9-59 

1838 

261 

181545 

16  313 

16  032 

53  888 

30 

)-C0 

2  222 

330 

184096 

20  317 

10  316 

53  573 

30 

^1 

3  721 

493 

188  810 

21865 

24470 

61726 

33 

454  292 

-G2 

8906 

1185 

198  401 

22  250 

18147 

S6  404 

29 

372  680 

-63 

4  096 

1449 

203  946 

17  426 

17  580 

6484S 

28 

303  361 

-M 

6  845 

4  618 

215  408 

16  408 

23  297 

60  563 

30 

851  537 

-65 

10  019 

476 

225  904 

21179 

—5  710 

31547 

15    434964 

-66 

903 

859 

2-27  660 

20  285 

28  477 

65  733 

20  ,307  963 

-67 

446 

304 

228  417 

23150 

34  229 

71485 

31 

447171 

-68 

1795 

304 

230  677 

28  711 

66  313 

103  569 

45 

331  037 

-69 

10  716 

5  606 

216  989 

24102 

39  574 

76  830 

33 

iS6878 

-70 

7  939 

7  955 

262  884 

38  979 

74405 

111611 

45 

406  642 

-71 

4816 

11474 

279  173 

33  873 

116  884 

154140 

69 

462  707 

-72 

5  780 

13  084 

298  036 

37  645 

71651 

108  907 

39 

444  3SS 

-73 

3454 

9  895 

311  693 

40118 

62182 

99  438 

33 

351 821 

■ 

^^^^^^^ 

t32] 

Abstract  oF  Reunite  on  the  EMteni  Jama*  Ouwl 

1 

i 

Cipiul  OatiMi. 

Wotkinj 

Direst 

Iiulireet 

Rebmi. 

IT 

OrigiDKl 

Work* 

ii 
11 

Totjillo 
end  of 

JMt. 

1823  to 
1830-31 

JSI 124 

12  676 

£ 
43  800 

1 

i' 

£ 

£ 

1 

1830-31 

to 
1S4C-47 

{49074 

4  907 

97  781 

97S22 

i!1454 

1847--18 

1485 

143 

99  360 

2  503 

14065 

_.  1 

x: 

1848-49 

3  254 

S2d 

102  939 

5  055 

a 

1849-50 

3460 

346 

106  745 

„„,       B183 

f 

1850-51 

301 

30 

107  079 

7392 

15  914 

1 

1851-52 

2  558 

250 

100  893 

7720 

13079 

1 

1852-53 

3  057 

306 

113  256 

8279 

17  325 

1853-54 

6  315 

531 

119102 

7  872 

14  993 

1854-55 

16  376 

1688 

137  066 

9  665 

14  479 

1855-56 

12  691 

1637 

161  994 

8188 

9  088 

1856-57 

5180 

601 

157  865 

13  640 

12  997 

1857-58 

1351 

223 

159  440 

7  691 

6646 

1858-59 

2  260 

337 

162  036 

9  265 

12  483 

...  1 

>i( 

1859-60 

393 

81 

162  510 

10  675 

20  924 

...  2 

7i 

1860-451 

873 

141 

163  624 

11376 

28  941 

... 

...  2 

1! 

1801-62 

003 

3  071 

167  298 

11305 

22  873 

...  K 

li 

1862-63 

13« 

-300 

168  343 

8  518 

25  686 

3800 

29  496 

13   1 

m 

1863-6* 

1218 

1732 

171283 

10  799 

23  217 

6  000 

29  217 

11   1 

u 

1864-65 

3  366 

432 

174  081 

12  618 

36  539 

0000 

42  639 

18  2- 

ji 

1865-66 

2  876 

1612 

178  469]13061 

41463 

6000 

47  403 

20  1 

i03 

1866-67 

2  844 

2  269 

184  582'l2  247 

43131 

17  769 

60  900 

27  i 

Bi 

■-68 

4  930 

1816 

191 328 

14  208 

56  560 

17  769 

74  329 

33  1 

^t 

^9 

4  904 

1246 

197  479 

15  488 

50  621 

17  769 

68  393 

28  2 

4) 

i-m 

2  779 

282 

200539 

16  508 

65  728 

17  769 

83497 

34  I 

9l( 

.870-71 

2  324 

303 

203  166 

18  006 

60104 

17  769 

77  873 

30  2 

12: 

I871-™ 

1973 

-204 

204  935\l9»8O 

\5\Wl«»\\T1?aWTO!i 

24  1 

k; 

'S'a-fsl 

1805 

—654 

206  177W«1S\!.6«a\M''"''¥''*A'^V 

[88J 


Fnumeial  SUfHiiics  qf  CanaU  in  the  Panjab. 


cconnt  of  the  Western  Jamna  Canal,  to  the  end  of  1872-73 


DeUiL 


Works. 
H>rory    Works    (to    xaaintam 

ppijl'y     •••  •••  •»•  ••• 

of  JXtfld  •••  •••  ••• 

mty   WorlcM*     1.  Main    Canal 
d  DrBQches      •••         •••         ••• 

ams,  and  regxdating  works  ... 

dls  and  weirs •• 

[jneducts  •••         ••• 

icaues  •••         •••         •..         ••• 

ipply  of  tanks 

>ad  bridges     •••         •••         ... 

lildings  •••         ...         ••• 

hworJe. — 1.   Main  Canal    and 
Skncnes  •••         •••         •••         ••• 

3.  Drainage  works 
Maneoui*        

1  Main  Canal,  and  branches  ••• 

distributing  Channels. 

mry  works. — d.  Irrigation  Out- 

o  •••  •••  ••• 


Previoufl. 


••• 


mditore  on  general  works  np 
1863-G4 


••• 


Total  on  Works 

BTABLISHMlirry   GENERAL. 

stion     •••         ..•         ••• 
•uuive   •••        •••        ••• 


•  •• 


•  •• 


Total  on  Estabmshment 

Tools  and  Plant. 
Total  on  Tools  and  Plant 


••• 

••• 
••• 

••• 


lednct  fluctuations  of  suspense 
lance  :   for  stock,  sales*   and 


canoes 


••• 


...  Total 


3  316 


2  487 

9  060 

248 

563 

1555 

1679 

201 

18  542 
1714 
1312 


40486 


••• 


194  341 


234827 


••• 

••• 
• .  • 


56  645 


1407 


292  879 


5158 


In  1872-78 


.78 
29 


1017 
336 

••• 

••• 
••• 
••• 
330 

948 

138 


2  877 


576 


3  453 


908 
4430 
5417 


10  755 


19 


14  228 


-572 


Total. 


78 
8345 


3504 
9  387 

248. 

563 
1555 
1679 

350 

19  490 
1714 
1450 


43364 


576 
194341 


238  281 


••• 
••• 
••• 


67400 


1426 


307107 


4586 


Total  Capital  Outlay.     £1298  0^7  \\a^^^   \%\\^^^ 


im 


Ruanrial  Slatistioi  *{f  Oanah  M  Ik  Pa^ai. 
0«|ntal  ncRonot  of  Uie  Uori  UtMb  Cmna),  to  tbe  «d  of  13724 


Detoil. 

Pmlow 

In  1872-71 

1 

Works- 

£ 

£ 

a  OortiifZanJ. 

?333 

C.  JUuMHy  «)rb.~l.  Main  Canal  Mtd 

a.  Dmiu  and  reiriilatuia  worin    ... 
ft-FaUaandwefii  ... 

75  798 

155 

137242 

6675 

i 

17Wa 

; 

rf.Eaoapos 

15  474 

S,  Dnun^«  worlu.,. 

247S 

fi.Rondbri(l^u      ... 

103  601 

M 

1 

6,  N»vtg»,tiiiti  works 

.18t»4a 

Z.Milla        

1267 

-\ 

S.  Boildinea 

£2014 

S^ 

t 

1.  Main  Canal  and 

■W2  7M 

S893 

4 

a.  Dminago  works .. 

7101 

' 

.*>.  Navi^tion  ChanneU 

8103 

J 

E.  MiteellaneoM         

M7M 

'« 

Total  Main  Canal  and  brancbas 

5  507 

921  -271; 

11398 

as 

Distribnting  Channels 

n.  OoU  qf  Lnnd           

3  567 

J 

C.  Matonry  icorkf,  d.  Head  slniecs  nnd 

regn^ting  works            

6.  Falls  and  weirs 

6  34.3 
11194 

113 

1 

«.  Aqnei^ncts           

141)32 

1 

rf.  Img^ition  outlets           

6113 

815 

D.  Eartbwork 

Total  on  Works     ... 
Ebtabubiimekt,  Genkr*],. 

78  1)0" 

2+3 

7 

I  WJS  492 

12  569 

loi 

Direution     ...           

1761 

ExecQtivG 

113->4 

Medical        

Total   EsTARLrSHMENT      ... 

Tools  and  Plant      

51 

202  71  r. 

13  166 

21 

40  85:t 

70 

4 

Profit  and  loss        

4477 

Total  Capital  Outlay     ... 

29  592 

"23 

■I 

1  819  129 

25  828 

I3J 

[35] 


^tmaneial  SUatistien  ofOanaU  in  the  North'West  Provinces. 
^Bfskal  aoconnt  of  the  Eastern  Jamna  Canal,  to  the  end  of  1872-73. 


DetdL 

Previous. 
£ 

... 

103 

645 
158  737 

In  1872-78. 

Total, 
£ 

14 

686 

182 

49 

590 

158  737 

Works. 
Main  Canal. 

3£a9onry  loorks.     Syphon 
x^ficuf'e         •••         •••         •••         ••• 

Snildin^s    •••         .••         •••         ••• 

.  SUirthworks.     Canal  banks 
I>raiiiage  works — sheds     ... 
Otiier  works 

£ 

14 

583 

182 

49 

44 

• .  • 

Total  Main  Canal     ... 

Distribnting  Channels. 

The  cost  of  these  is  not  shown,  they 
were  made  by  the  caltivators  ... 
1.  3fiuonry  works 

r*   .£of^hlffOTK    •••             .••.            ...             ... 

MHjaCSmOO             •••              •••              •..              ... 

Other  works           ...         ...         ... 

159  385 

45 
8  936 

872 

683 
120 
220 
••• 

160  257 

683 

120 

265 

8  936 

Total  on  Works     ... 

168  366 

1895 

170  261 

ESTABLISUMENT. 

Direction     ...         ...         ... 

Execntiye    ...         •••         ...         ... 

2  328 
26  600 

180 
250 

2  508 
26  850 

TotAl  on  Establishment     ... 

28  928 

430 

29  358 

Tools  and  Plant 

Profit  and  loss        ...         

Fl actuations  of  suspense  balance 
Less  Receipts         

621 

20 
7  000 

42 

• . . 

—1119 

—6 

663 

20 

5  881 

—6 

Net  Outlay     ... 
Add  Simple  Interest 

204  985 
243  272 

1242 
9  310 

206177 
252  582 

Total  Capftal  Outlay     ... 

448  207 

10  552 

458  759 

1 

1 

1  ^ 


[36] 


Financial  Stoiittict  o/Oanalt  in  the  NvrlK-Wgit  Prmtnea. 
Capital  acouuDt  or  the  Oivnges  Canal,  to  tho  end  of  Wi 


DcbiL 


WORIB. 

Head  w«-ka  ...         ...         • 

C.  Matonrv  teorki.     Wears     ... 
Main  (^nala  aad  brauchoa 

B.  OtMfqfLtaid  

C.  Matonry  woriit.      Falls  wiij 

Bridges       

Navigation  works  ... 
Buildings     ...         ... 

D.  EarlhiBorJes.     Canal  em' 

&c 

F.  MiieeUaneou».     Loss  on  I 
Escapes       ...         ••• 
Drainage  worka     ... 
Other  works  (f )     ... 

TotaJ  Main  Canal  and  brancbes  . 

Distribnting  Channels. 
Preliminary  operations 

B.  Cost  of  Land 

C.  Masonry  works       

D.  EartWorks  

Other  works  (?) 

Total  on  Works    . 


EsTABtlSeKEHT. 

Direction     ...         ...         ...         „ 

Executive 

Remodelling  

Total  on  Establishment     .. 

Tools  and  Plant 

Profit  and  Loss      ...  ..• 

Unctnations  of  ejupense-balance.. 
Leas  Keceipts 

Net  Oim.AY     ... 

Add  Simple  Interest         

Total  Capitu,  Octut     ... 


1557 
1077 
1850 


8H! 
11 W 


1» 

IW 


55  0R1 
232  302 
16  671 


10  725 

7101 
109146 


2  576  730 
1  941  670 


7101 
91993 
_988B 

28  4482eoai 

116  660  i2  058; 


[37] 


meud  8iaiUtic9  rf  fke  Deltaic  Canals  of  Southern  India. 

of  approximate  reeults  ttom,  remimeratiye  works  of  irrigation^ 
I  and  channels^  exdusiye  of  tanks,  in  the  Madras  presidency. 


Name  of 
Anient 

Up  to  end  of  1872-78 

For  year  1872-78. 

Percentage  of 
net  profit. 

t. 

Total 
Capital 
Oatlay. 

Total 

GlOflB 

Income. 

Intereat 
k  Main- 
tenance. 

Grow 
Prooeeds. 

•i   ... 

Gt>davari 

£ 

544788 

£ 

3  427  377 

£ 

36  023 

£ 
214304 

32-7 

••• 

Kistna...         ... 

358254 

782199 

24660 

69303 

12-5 

••• 

Pennar 

93395 

89142 

6  200 

8954 

2-9 

>at**. 

Fonranicuts  ... 

12411 

32133 

743 

8846 

63-2 

lata*. 

Palar 

21493 

23  233 

955 

5723 

.root 

Palar 

75086 

34139 

3  718 

2648 

Ibial 

Palar 

96579 

57  372 

4  673 

8371 

3-8 

root 

Poini 

15420 

34987 

702 

641 

loss 

Lrcot 

Alliabad    and 
Cheyar 

20207 

24450 

1407 

2542 

5-5 

JPCOt 

Vellar  and  nine 
others 

52055 

395  809 

4961 

33321 

53-8 

iroot 

Lower  Kaleron 

12974 

1 106  873 

2  399 

41193 

Lower  Kalenin 

43974 

66118 

1892 

1967 

Upper  Kalemn 

24066 

1 757  088 

1165 

67083 

Total 

Kalerun 

• 

81014 

2  930  079 

5456 

110243 

128-3 

jpoly 

Nandiar 

7855 

9640 

406 

944 

6-8 

tor... 

Four  channels... 

22961 

24288 

3  216 

2844 

loss 

• 
••• 

Yenamakal  *  ... 

4250 

5408 

296 

141 

loss 

-The  capital  oatlay  does  not  indade  deduction  for  wear  and 
,  in  some  instances,  the  cost  of  the  distributaries.  The  interest 
cent,  on  the  oatlay  np  to  the  beginning  of  1872-73. 


m 

^^^^^1 

■ 

4 

m 

m 
mittutnal  Slatuliet  for  !864-65  ^  tlui  ^mImI 

ti 

i7aZ3 

of  Maititr. 

Rl 

DifUMD. 

Riren  ntiliMd. 

t 

IM 

— 1 

■Do. 

I.-Maisnr 

Kftveri,  Laohmantirth,  Bhimslw,  Nogn 

4tU 

S« 

n.— Hassan 

Kareri,      Bimavatti,      Yegacti, 

la 

bmndies,  Sbimaha 

232 

51 

III.-Kaddur 

143 

3< 

IV.-Naggar 

The  tribub                     Tungnbftddra 

3«2 

.31 

Total 

1203 

37; 

I.-Abt                        M&iBur  DivieloD. 

Kamc  of  Anicut 

h 

1 

i 

j 

Fmm  tLs  K..Br7. 

Milo. 

C.  fi.  p  MO. 

ic™. 

£- 

Sriligram          

13 

40 

HKW 

1200 

Mirlao 

■to 

151 

COtX) 

4  545 

IE 

ClmndmmcatUi      ... 

24 

123 

4  920 

3690 

IS 

Tippur             

22 

83 

3  320 

2  490 

(■Iiikdeomj      

75 

448 

17  820 

13*i0 

6( 

Diivroi               

B 

78 

2  920 

2190 

VijjianadcJi      

35 

2-10 

8600 

7  2(to 

3! 

<) 

90 

3600 

2  700 

llamaHfimi       

31 

118 

4  720 

8  540 

Do 

30 

118 

4  720 

3  540 

U 

Tnlkad               

IS 

16S 

6120 

4  690 

li 

From  the  lacLmflntirth. 

lliinngod           

17 

ass 

13  400 

10  050 

1! 

Katini  Malwadi      ... 

14 

140 

6  000 

4200 

HargaiilitiUi     

12 

150 

GtKX) 

4500 

Do 

17 

224  ■ 

8  960 

0  720 

Sagnr 

20 

CholenhaDi      

6 

!!! 

From  the  Sfcimslifl. 

Maddttr            

12 

56 

2  24(1 

1080 

1 

Prom  ihc  Ndeu. 

LMhrnanpara 

Total     

4 

135 

5400 

4050 

J 

401 

2G77 

107100 

S0.W5 

24<l 

AveraBeairtr  cobic  ft,  iHit 

Mcond  of  disc 

^- 

I 

4rt 

£30 

' 

[39] 


jumcial  StatMes  for  1864-65  of  the  Anicuts  and  Channels 

of  Maisur — continued. 
U. — ^Abstract  for  the  Hassan  Division. 


Name  of  Riyeni. 

Nomber  of 
Anicuts. 

Number  of 
Channels. 

Length  of 
Channels. 

Bevenue 

realized  in 

1864-65. 

chi          ...          ... 

ivaiti 

ch  of  Yegachi 

isha 

4 

2 
8 
4 
1 

Miles. 

15i 
53 
112^ 
46 
5 

£. 

472 
2010 
2821 

588 
19 

Total 

... 

19 

232 

5910 

[. — Abstract  for  the  Kaddor  Division,  including  Chikmaglnr. 


Names  of  Rivers. 

Number  of 
Anicuts. 

Nomber  of 
Channels. 

Length  of 
Channels. 

Revenue 

Tealized  in 

1864-65. 

iivatti      •••         ,,,         .,, 

1            •«*         ...         •.. 

'y*                •«.              ...              ••. 

ttmdisamudram 

66 
1 
6 
1 

75 
1 
6 

•  •  • 

Miles. 

120i 

H 

13i 

2 

£. 

3086 

23 

340 

7 

Total 

64 

82 

138- 

3456 

— Abstract  for  the  Naggar  Division,  Shemogah  and  Kaddur. 


I>istrict. 


River  System. 


Number  of 
Anicuts. 


LT 


^ar  ... 

idrag 

kwali 


arpnr 

logah 

aanalli 

ikerrai 

itapur 

tara 


•  •  • 

•  •  • 

{ 

. . . 

. . . 
. . . 
• .  • 

1 


Sheravatti 

Warda 

Sheravatti 

Tnnga 

Baddra 

Tonga 

Warda 

Choardi 

Warda 

Tunga 

Tungabaddra 

Baddra 

Warda 

Choardi 

Sheravatti 

Biranji 


Total 


46 

22 

19 
7 

15 
2 

22 
8 
3 

22 
3 
4 
4 
4 
5 

64 


Length  of 
Channels. 


] 


Miles. 

8J 
14 

4} 

17 
63 


Revenue 
realized  in 
1864-65. 


01 


8 
11 
77i 


' 


2r»0 


362 


£. 
878 

75 

69 

518 

406 

183 

900 

22 

5 

135 

600 


371)1 


m 

1 

StttuHea  ^  Jfrigation  from  Iha  Waten  3amna  Qm^.     1 1 

, 

Aorca«e  ImskMd. 

-A      ■ 

-• :  ll 

11 

1 

1 

t 

1 

i 

IGlo. 

1872-73  2125 

1802 

202  370    1 

49150 

351820 

i 

46to 

ien-72!  2W7 

IMS 

187  647    2 

56  738 

444  385 

h 

70  kr 

lero-?! 

2067 

1797 

2issas   9 

M172 

462  707 

ISk 

1S69-70 

2372 

6-2  078 

496  542 

■sj 

Ills 

1868-69 

2277 

1 

88  208 

486  878 

f 

SiU 

1867-68 

1499 



1 

44150 

831  037 

1: 

3110 

186C-G7 

1833 

... 

*■ 

36  068 

447171 

.15 

«8li>l 

1865-66 

1615 

01692 

397  963 

It 

S7I1 

1864-6S 

1800 

87  291 

434  964 

:1 

1863-64 

12&4 

... 

'] 

351537 

r 

The  area  of  doable  cro 

about  13  per  tMnL  of  tlwM^ 

acreage. 

1 

Irri^ting  capacity  Taried 
in  1871. 
Mileage  of  canal  open  from  18C0  to 

30  600  «OT.  in  186410  S3I!»I 

1873— Main  102 

StatMies  of  Irrigatiim  from  I 

«  Eaitem  Jamna 

Canal. 

II 

■a 

Acn»B.  Imgttod. 

•51 

T«r. 

II 

1 

i 

1 

' 

iiii^ 

"hita 

1872-73 

1050 

998 

79  699    1 

04445 

184154 

625 

1M 

1871-72 

981 

95  p.0. 

72  40*    1 

20  345 

192  749 

610 

lUloB 

1870-71 

956 

98  p.c. 

98 112    1 

14  603 

212  715 

608 

1869-70 

100  p^ 

119 16S     1 

31904 

251067 

606 

1868-69 

98  f.c. 

102 141     1 

71960 

274  101 

603 

1867-68 

9^*  p.c. 

78  606     1 

03  938 

182  544 

596 

1866-67 

1068 

100  p.c. 

82138     J 

57117 

239  555 

596 

1865-66 

80  225 

30130 

160  355 

h^ 

1864-65 

1025 

117  770     1 

17  770 

225  266 

602 

1863-64 

932 

71  129     1 

10  202 

181  331 

602 

1862-63 

1043 

184232 

602 

. — ^1 

Irrigating  capacity,  1858  to  1873—250  000  acres. 
Mileage  of  main  canal,  1862  to  I»r3— 130  miles. 


[41] 


SMutiei  qf  Irri^aHon  from  the  Bart  Doab  Ckmal. 


3 
2 
1 

0 

S 
7 
S 
5 
4 

2 


^t 


0 

OQ 


1838 
2073 
2201 
1948 
1899 
1532 
1688 
1431 
1228 
1340 
1450 
1387 


II 


0.  ftpLMC 

1208 
1950 
2069 
1578 
1649 


1193 

••• 
••• 


Acreage  Inigaied. 


96  718 
76412 
88  643 

115  524 
85  519 

106043 
92  699 
91378 
66370 
64195 
59476 


I 


132  078 

210  658 

190  567 

118403 

214315 

156  085 

135  753 

84  602 

126  313 

70167 

66540 


S 


228  796 
287079 
279  210 
233  927 
299  834 
262 128 
228  452 
175  980 
192  683 
134362 
126016 
134362 


MUet. 
716 
712 
710 
710 
706 
696 
671 
623 
581 
554 
409 


area  of  double  cropped  land  from  1870  to  1873  was  8  per 

f  the  whole  acreage. 

Lge  of  canal,  from  1860  to  1873.     Main,  140  miles ;  branches, 


!8. 


StaiuticM  of  Irrigation  from  the  Ganges  Canah 


3 
2 
1 
01 

9 
8 
7 
6 
5 
4 


0.* 

0 


0.  a 
00  "5 


C.ft.|». 

4787 
4191 
4300 
5100 
4946 
3952 
3940 
4314 
4026 
4028 
4850 


o.  ft.  p. 

4221 
76  p.c. 

89  p.c. 

90  p.c. 
94  p.c. 
86  p,a 
89  p.c. 


••• 
••• 

••• 


Acreage  Irrigated. 


247191 
232  688 
266  683 
341846 
344  267 
185 137 
181  658 
176  544 
161  835 
97  538 
90  693 


i 


437979 
373  867 
499  931 
438  560 
734132 
348  319 
453076 
396  585 
404682 
352  250 
114  912 


685 
606 
766 
780 
1078 
533 
634 
573 
566 
449 
205 


170 
555 


MUes 
3228 
3078 


6143071 


406 
399 
456 
734 
129 
517 
788 
605 


•«8 


3069 
3112 
3040 
3089 
2777 
2440 
2337 
2266 


Inches. 

33 
36 
38 
28 
16 
46 
26 


.ge  of  canal,  1862  to  1873.    Main,  519  miles ;  branches,  from 
1866, 127  miles ;  1867  to  1873, 135  mUes. 
kting  capacity,  1 205  000  acres,  during  the  above  period. 


m. 


ii>- 


fir  ie!%-n. 

■iJJBniSal 

1 

J 

Wnn 

lu  taa 

.  CX.U1. 

Bu(  DouOuu.          ] 

1 

fi 

If 

n 

1 

April 

2359 

Cab.  fL 
231 

Cab.lt. 
8125 

1878. 
^iril      .., 

CbKfL 
8198 

1060 

im 

May        .. 

2S83 

»* 

1968 

lUj       ... 

220B 

low 

lui 

Jane       ... 

UK 

288 

2156 

J«.      ... 

2146 

MM 

IM 

'j,„,        .. 

2310 

225 

2090 

W,       ... 

1776 

850 

9H 

*  August   .. 

■-■142 

si;2 

15^0      August  ... 

\7'X> 

708 

102! 

1  Si'iiU-mliiT 

10.2.1 

143 

1477      Sejitember 

UWO 

501 

142. 

Average 

22»4 

335 

16!>1'          Average 

201S 

798 

124 

nMi. 

RabU. 

I-7J. 
,  (VtuU-r  .. 

2413 

313 

1^72. 
•20C0     a-tober  ... 

2202 

?S9 

121! 

Sovember 

254.> 

374 

2106      November 

209.J  1 

915 

118( 

Decomber 

IMl 

3D0 

1»4S     December 

1640  1 

471 

116! 

i^^rs. 

1242 

341 

'        1873. 
inn      Jaunaiy ... 

i 
7*t2 

217 

5Ci 

Fi  l-ruarr , 

1S72 

241* 

102a     FebTMPy .. 

gsu 

49 

1*31 

-Maivh     ., 

2i.<4 

l:.2 

Il';i2     Mareh     ... 

2S42 

125 

22  r 

1     A\  orai^' 

201,-. 

311 

K'^         A\-eT»gr 

IC.57 

401 

1191 

2i;.-. 

3(3 

ii...»      Avcraee  1 

ISS?  ' 

I-.20 

l-2a 

[43] 

vimafe  Acreage  of  the  Irrigated  Crops  of  the  Western  Jamna  Canal 

in  1872-73. 


Kharip. 


1. 


Plow. 


t2. 


42  034 


Lift. 


Total. 


unkDown 


1260 


Kt3. 

r 

»••    ••• 

x> 

ants- 
Ik 


44  281 


90  210 


•••     ••• 

tan  eons 
tables 

al 

m4. 

• ••     • •• 

•••      .  •  • 
■  •  •     .  •  • 

w^a  ••• 

•  •  •  •  •  • 

■• •  •• • 

•• •  • • • 

ne  ••• 

•■ •  •  •  • 

ilanooas 

bal 

Its  5. 

w        • . . 
Kharif 


6  317 


!.., 


96  646 


unknown 


unknown 


43  294 


43143 


391     44  672 


5  919 


172 


unknown 


96129 
305 
170 

unknown 

15 

25 

114 

6  489 

unknown 


Cbops. 


Babbi. 


Flow. 


6  261 


102  907 


4021 

41 

312 

698 

2 

237 

404 

4 

74 

56 

28 

unknown 


6  880 


189  8^10 


182 

2 

35 

195 


•'  • 


68 
6  1 

•  •  • 

3 

85 

2  1 

unknown 


4  203 

43 

347 

893 

2 

305 

410 

4 

"17 

141 

30 

unknown 


4  617     11  497 


4  069 
12  530 


4  069 

202  370 


Class  1. 


Total 
Class  2. 


Total      ... 

Class  ^. 
Wheat 
Barley 
v/a  vS    •  •  •     ... 

Toria 

Tobacco 

Poppy 

Coriander  ... 

Metbi 

Other  grains 
Miscellaneoos 

Total 

Class  4 
Masnr... 
Chena... 
Cham... 
Javi 
Lucerne 

Grass 

Miscellaneous 


1001 


Lift. 


unknown 


236 


unknown 


3  700 


84 
3 


...     •  • . 


16 


691 
282 

19 

467 

346 

5 

479 

23 
848 


115  098 


1786 


Total 


unknown. 


1237 


iinknown 


8  908 

320 

«■• 

61 

755 

1 

384 

•  •  • 

338 

unknown 


5  486 


93  599 

3  602 

19 

528 

1101 

6 

863 

23 

17186 


10105 


••• 


Total 


Class  5. 
Gram  ... 
Fallow 
Floodings  ••• 

Total  Rabbi 
Kharif 

Grand  total  . 


1520 

45 

1831 

210 

111 

16 


244 


7  704 


120  044 

189  840 

309  884 


159 
51 
10 
20 
61 

••  • 

unknown 


17  280 


125  202 


1679 

96 

193 

230 

172 

16 

unknown 


17  524 


92 
2  231 

10  485 

29  406 
12  530 

41936 


7  796 

2  231 

10485 

149  450 
202  370 


351  820 


—  The  total*  of  classea  are  correct;   the   detailed  acreages  are  evidently  incorrectly 
claaufied  in  scYeral  instances,  the  crops  under  Clnssea  2  and  5  being  dissemiflaled. 


1 

i 

■ 

■ 

■ 

■ 

B 

m.^^ 

i 

\^^. 

w 

1 

Jtn^  ^  am  Inif^^i  Onft  cf  tl,  Ecltr,  J«.m<,  Cn^  i,  !«»; 

ca«» 

.^ 

•~   i 

CkM. 

VWw. 

lib. 

TgtaL 

H<r». 

UlL        « 

Gaidn       } 

2 
> 

1006 

242 

1248 

1279 

"i      1 

S<w»x»... 

1 

2s'i 

27*426 

Bin 

4 

S7< 

37  751 

llai>i 

4 

3b 

2  576 

Mudn     ~ 

4 

« 

30 

Suwsk       „. 

9 

9 

4 

Jo<»«r 

9 

179 

J 

Cl«« 

4 

35 

s 

Wk«it 

S 

„ 

70814 

0U> 

S 

„ 

... 

883 

18  580    H 

am» 

s 

.« 

2  379 

S6 

B.ri.T 

3 

.« 

„ 

2G4S 

6S1     i 

Urd             J 

4 

38 

7 

35 

5S1      t 

i 

UcKli 

4 

3 

2 

5 

Umr 

3 

1274 

£ 

PBrn. 

3 

2146 

14B      ] 

AHm 

3 

... 

2 

560      ] 

1 

•l,«™ 

2 

2 

US 

24 

"ies 

117 

Dtunera 

2 

S 

"u 

;;; 

"u 

16 

27 

i 

Cl»m 

2 

"215 

"24 

"239 

... 

Cottoo 

3 

J  936 

896 

6832 

i 

Smi 

4 

3 

... 

3 

1 

I-digo          [ 

3 

4 

19«3 

239 

2202 

2 

41 

1 

Tobuco       j 

2 

2 

'"92 

"40 

132 

20 

... 

Opion          ., 

2 

2 

1 

liannl 

3 

51 

UiuUnl       .. 

3 

... 

"1 

2 

"m 

'"m 

1456 

161 

W«te            f 

IlTig.ti01.       t 

Totida    .. 

4 

659 

"so 

749 

4 

... 

... 

434 

43 

72  758 

6  941 

79  699 

83  520 

Z0  935  10 

83  520 

20  935 

104  455 

( 

toudToM  .. 

156  278 

87  876 

184154 

[45] 


^  ike  Irrigatei  Oropt  of  the  Ban  Dodb  Oanai  in  1872-78. 


n> 

Kauiv. 

0BOT8. 

Taw. 

UA. 

TotaL 

Flow. 

lafk. 

Total. 

•  1. 

w       ••• 

•••        ••• 

8688 

225 
28829 

470 

6 
264 

9158 

231 
29  093 

Sugar-cane... 

Clou  2. 

Gardens      ••• 
Rice    • 

Total  ... 

OrcbarcU    ... 
Wheat 

Barley 

Linseed 
Sam    •••     ••• 

Safflower    ••• 
Poppies 
Tobacco      ... 
Tokhmbalaiiga 
MiBcellaneoiis 

Total    ... 

QnnxcL  •••     ••• 

Masnr...     ••• 
Sinii    ...  '  ... 
Fallow 
Miscellaneous 

Total  ... 
Total  Babbi  . 

11 
117 

7 

1 

7 

•  •• 

12 

124 
7 

Wal... 

29054 

270 

29  824 

124 

7 

131 

mZ. 

•••     ••• 

Qm  ••• 

780 

24879 

169 

461 

1314 

76 

2  658 

9 

25 

467 

856 

27  537 

178 

486 

1771 

820 

84866 

4  291 

22 

731 

•.• 

475 

56 

t*. 

415 

53 

14  751 

164 

3 

226 

... 

58 
13 

262 

873 

99417 

4455 

25 

967 

... 

533 
69 

t*. 

677 

•otal... 

27  604 

3225 

30  829 

«*^ 

9158 
1434 
7  762 
5800 
1049 

« 

1841 

424 

791 

182 

14 

10499 

1858 
8  553 
5  432 
1063 

•••        ••• 

91476 

15  530 

107006 

•••     ••• 

laneoTiB 
•••     ••• 

7  370 

174 

14182 

768 

1578 

78 

1 

686 

17 

72 

7448 

175 

14868 

785 

1651 

*OtBl  ••• 

24  705 

2  702 

27407 

Ehsrif. 
BabU  . 

90051 
115  683 

6  667 
16  394 

96  718 
132  077 

24072 

855 

24927 

flUkl       mm^ 

205  735 

23061 

228  796 

115  683 

16  394 

132*077 

f. 


I* 

■ 

BI 

1 

■ 

Acreage  of  lie  Irh^ateil  Or^g  of  lie  Oamfct  Omai 

in  lers-i 
J 

Ouri. 

Kiuur. 

-] 

ClHi 

Flow. 

Ufi. 

Tool 

Flow. 

UB. 

5 

Qvden   prtv 

Ja 

dtuw     ... 

3 

752 

4  95( 

2  974 

i7ign 

Sngu^owie ... 

1 

S71 

68  397 

IC 

' 

1 

TVhoat 

3 

11 

29 

I  fig  392 

73  Si^ 

i 

Harlpy 

3 

2G 

85 

77  on 

75  690 

18 

Oats 

3 

80 

S 

1 

Rice 

2 

S81 

26  762 

12* 

157 

MaiM 

4 

!24 

578 

1 

Jowar 

3,4 

80 

1015 

i 

Chena 

3,4 

822 

434 

'40 

a 

1 

Mama 

4 

roc 

1827 

1 

3.4 

TO7 

3150 

.   1  701 

5SS 

1 

'Gram 

3 

15 

3 

18 

13  32(i 

3  872 

i; 

^ 

Peas 

3 

4  938 

176" 

1 

1 

Arlmr 

4 

37 

& 

Hasnr 

3 

38 

"'l5 

MiswlIaneouB  [3. 4 

""ll 

'"  1 

"is 

1728 

67 

1 

1 

Cham          ...!     4. 

124 

2 

12G 

Lnoemo       ...3,4 

8? 

25 

112 

75 

15 

s. 

MiscollanooDB  3,4 

17 

1 

18 

1477 

67 

I 

CoOou          ...      3 

6  722 

1239 

7  9C1 

1 

San 4 

199 

GO 

259 

Flax 1     3 

114 

18 

"• 

UiHiellaneotia 

3,4 

'778 

"ll 

"769 

146 

10 

1 

Indigo 

3 

97  267 

31513 

128  780 

1 

MiHcellaneouB 

3,4 

586 

16 

602 

18 

"■3 

1 

Opium 

2 

10 

21 

31 

2  094 

4  636 

a- 

TobaCM       ... 

2 

76 

78 

154 

41 

77 

1' 

UiscoUoneons 

3,4 

... 

134 

1G2 

Oilseeda       ... 

3,4 

... 

141 

2 

WatcrnntB  ... 

2 

""  3 

3 

... 

WsMo  in-iga- 

tion 
,            Totals    ... 

4 

648 

495 

1143 

141 

132 

191948 

55  243247191 

275  054 

162  92s 

s 

2?5  054 

162  925J437979 

G 

nmd  Total    ...' 

167  002 

218 108685 170 

[47] 


Brief  Accounts  of  Indian  Canals. 

The  'Western  Jamna  Canal  is  the  oldest  of  the  perennial  canals 
iC  l^ortliem  India,  the  most  fallj  developed  as  regards  its  powers  of 
■si^^tioii,  and  the  most  remunerative.  It  has,  however,  been  carried 
m  ill  a  most  desultory  manner,  and  even  now  is  not  complete.  In 
K821,  the  capital  expended  on  it  was  £14  216,  and  from  that  time 
feo  1833  the  progress  was  next  to  nothing;  in  1835,  the  capital 
■Mooant  was  i^3 168 ;  but  in  1836,  £62  225  were  spent,  raising  it  to 
jClOO  000 ;  from  that  time  to  184!6  next  to  nothing  was  spent,  the 
'Moocmnt  at  that  date  being  only  £119  405,  according  to  the  returns 
^brmerlj  given.  The  present  capital  account,  given  in  the  accom- 
statistics,  gives  different  figures,  owing  to  an  entirely  new 
;  but  the  same  rate  of  carrying  on  the  works  is  clearly 
.  jBhistrated  by  them.  In  1853-54,  this  canal  had  arrived  at  a  very  good 
of  development,  after  more  than  thirty  years  had  been  passed 
spending  £175  000  on  works.  Up  to  1872-73,  the  capital  account 
£311  693,  but  even  yet  the  canal  has  no  permanent  headworks, 


and  the  drainage  works  necessary  for  the  healthy  control  of  the 
irrigation  can  only  be  said  to  be  commenced;  and  half  a  century 
.    Ins  elapsed  since  the  British  first  took  the  matter  in  hand. 

The  canal  is  of  Musalman  origin,  having  been  projected  and 
earned  out  on  a  small  scale  under  the  Mughal  emperors.  Its  head  is 
at  Tajawalla,  on  the  west  bank  of  the  Jamna,  13  miles  above  Dadu- 
pur ;  the  supply  being  conducted  from  the  head  along  an  old  brand) 
of  the  Jamna  to  Bhilpur,  thence  by  an  artificial  cut  into  the  Pattrala 
HQ  torrent,  and  then  along  the  latter,  down  to  a  junction  with  the 
Sombe  torrent  near  Dadupur,  where  a  dam  and  regulating  head  for 
the  supply  of  the  actual  main  canal  are  sitiiatcd.  After  102  miles  of 
main  canal,  it  divides  itself  at  Rer,  into  two  main  branches,  the  Delhi 
branch,  75  miles  long,  tailing  into  the  Jamna  near  Delhi,  and  having 
distributaries  aggregating  100  miles  in  length,  and  the  Hansi  branch, 
which  is  108  miles  long  to  Mingnikhora,  and  has  141  miles  of  distri- 
bataries,  in  addition  to  its  sub-branches.  At  the  Joshi  regulator,  in 
^0  11th  mile  of  the  Hansi  branch,  is  the  head  of  a  sub- branch,  which 
'OSes  itself  in  the  sandy  desert  near  Rohtak  after  a  course  of  4<3  miles. 
^^  the  13th  mile  of  the  Hansi  branch,  is  the  head  of  thc.Butana 


I 


f 


[481 

rab-hmxA,  18  ttUea  long,  down  to  iU  1rirtireati(»i  into  two 
ona  11  tlie  otiur  €  nule«  long. 

At  HinginUiwa,  tiie  108th  mile  of  llie  inatn  oanal,  is  &b  bad 
tlw  Bdudim  aab-braucb,  32  miles  long,  and  of  the  Darin  sDb-bw^i 
which  !■  18  mileB  locf^  down  to  its  bifurcatioti  »t  Ranuii^,  nbcoci 
it  beoomn  two  otaiinola,  cacb  10  miles  long. 

In  addition  to  the  various  bnncLes  and  distritratanes,  there  m 
CMCifW  floti  from  the  main  canal  amounting  to  55  mUri  in  leogtli,  ut 
61  milas  of  MOqvea,  cuts,  and  drainage  linee  &-om  liie  Delhi  Inn^ 
It  is  klao  prapoacd  to  make  a  new  branch  from  the  5?th  miUd  ll» 
Buin  iran^  to  B&owani. 

Am  rvgKtiM  thfl  width  of  tJie  canal,  the  main  lin«  varies  fmm  SCO  U 
120  feet,  Nid  tha  brauchca  from  100  to  1 0 ;  the  depth  is  variable,  &t 
fbll  mpplj  deptti  at  Dadapnr  being  4-3  feet,  and  the  lowest  my^J 
about  half  of  thnt,~thc  velocitir  at  Tajawalla  is  about  17,  ttcd  M 
Dadi^nr  with  fbll  snppljr  4'14  fe«t  per  second. 

The  tract  imgntcd  is  120  miles  by  10. 

In  1837-38,  a  year  of  famine,  the  acreage  irrigated  was  306000,  th) 
prodnoe  saved  being  valaed  at  £1  4/62  BOO  ;  and  the  eetamated  rabt 
of  the  irrigated  crops  on  351  820  acres  in  1872-73,  being  £2  021 BIL 
In  1846-47,  351  501,  or  (3G0  902  P)  acrea  were  actnallj  watered,  sad 
the  following  works  were  completed ;  main  canal  445  miles,  exchidiiig 
diatribatariea ;  bridges  of  viuioua  soria,  240  ;  main  hesdworka,  I ;  stop 
damB,  12 ;  aqoediLcts, 2 i  weira and  falls, 0  ;  eacapes,4;  lookB,2;  iirigft- 
tion  ontleta,  672  ;  inlets,  3(! ;  station  houses,  68  ;  besides  depdts.milU, 
and  workshops.  The  gross  returns  in  1846  amoonted  to  55  per  ceni 
on 'die  capital.  The  irrigating  power  of  water  on  this  canal  is  higher 
than  that  of  any  canal  in  India,  having  sometimes  reached  nearij 
300  acres  per  onbic  foot  per  second  of  sapply  otiliEed. 

While  the  Western  Jamna  canal  yields  the  most  favonnblo  resohs 
as  ragards  its  powers  of  irrigation,  this  appears  rather  to  be  due  to 
natural  condidons  than  to  skilfdl  management.  In  1819-20,  before 
British  reoon struct  ion,  the  tract  irrigated,  992  square  miles,  yiedded 
£200655  in  water  tate,  while  in  1850-51,  the  tract  irrigated  WM 
1015  sqnare  miles,  yielding  £242  177  in  water  rat« ;  tita  iimiiaai  cf 
land  revenue  in  each  case  amonn^g  to  £41 521,  and  t^  advaatsgd 
due  to  British  militaiy  management  over  a  qoarisr.of  a  oentaiT 
appearing  very  small  in  this  particalar. 

The  capital  account  of  this  canal  was  altered  in  flie  year  1863-6^ 
by  debiting  it  from  1%%  wV^  a  a\iBXft  ol  vxytnutK  Cm  ««taJbHshmait 
and  ooatingenoiea,  thoa  cbangms  fti"  ra«a  ^i™^  S-^W^  ***^  ■»  «»».'«» 


[45] 

',  181)4: — tborc  is  also  some  doubt  about  the  establlahment 
laether  tliey  shonld  be  10  or  13  per  cent,  on  the  cost  of 
ng  the  whole  of  that  period. 

-65  the  average  monthly  discharge  for  the  year  waa 
feet  per  aecond ;  in  the  Kharif  season,  1791 ;  and  in  the 
on,  irrr  cnWc  feet  per  second. 

the  valne  of  the  irrigated  crops  being  fifty  times  the  water 

I  was  resolved  to  increaae  the  water  rat«s,  and  this  was 

1867-68;— in  this  latter  year  the  ralnEall  was  exeep- 

'ourable  to  the  cnltivator,  the  result  being  that  only  two- 

breadth  of  wheat  of  the  preceding  year  was  irrigated  ;  bat 

a  increase  of  irrigation  of  7436  acres  of  sugar-cane,  the 

np. 


«  of  the  principal  irrigated  crops  o 
Ibllows : 

n  this  can 

18(10-81.      isfii-aa. 

1862-«3. 

S  annual...     2'3 102        33  782 

44  730 

■)                (        4496.5         58  578 
5  ^'^^^  [       43  706        33  558 

67  925 
25  549 

>bi   181208      148  317 

111  129 

145  234 

lS8*-aS.         I8«(Kafl.  1888-67.  ISBT-HS. 

•.annual...       29  786        34028  19  773  27  209 

57157         51517  62  071  39  455 

62  684  104  796  98800 

1477  1805  1315 


(j       57 157        51 5 
kharif  }        77  738        62  6 
(         1 131  14 


bbi    ... 


163159      126  293      150  233      100  937 


Col.  Crofton  proposed,  with  an  estimate  of  £214  267,  to 
head,  to  complete  the  drainage  workt<  and  the  dia- 
Indri  to  Dellii  and  Jhind  ;  it  had  huuever  been  dis- 
1867,  that  the  swamps  near  Kamal  and  on  the  Delhi  and 
les  were  absolutely  necessary ; — the  former  having  existed 
in  consequence  of  the  canal  froni  Barin  to  Kanial  con- 
Ipally  of  natural  channels. 

it  state  of  this  canal  as  regards  works,  financial  condi- 
Pigation,  is  shown  in  tlie  tabular  statistics. 


n*  Bmdm  /bmm  OuuJ  is  goaenkllj- 1 
Vte  WmI«ri  Junna  CanAl ; — it  wss  oonfllractvd  in  about  (] 
tima  imI  tlw  mb*  maBner,  boiiig  mi  cM,  rally  dovetniina,  * 
■wmummnHxt  pamotftl  emul:  il«  coat  was  aboat  tiro-tliir^  4 
■nngv  ttTic«i»d  «m«g«  kbovt  one-balf  of  that  of  the  1all«r.  I 
lAu  ■  iiliBBliuu  and  ralM^gvawnt  of  on  old  natiTe  work,  cona| 
I7  Um  BritU  m  1823. 

TIm  Ihwiarw  Junna  ' '  *~' — ■  its    eapplj  from   the  Jan 

Khanmh,  aad  pafiirn  it  d  bvd  of  (he  Jamna  for  foorg 

tn  Nrnjaalnlir,  wlwra  is  l  iag  Jsm  i«-itli  30  sloicea  anl' 

«r  tlia  main  canal.     Ir  ten  ntilcs  il<  crosses  the  mo* 

drttiiMg«at  right  angles.  ns  at  each  of  the  ttiiTeDt«,Bi>2 

CDOtinaca  oa  Uie  liigti  li  ottutry.  on  the  watershed  bd 

the  HimiaB  and  the  Ji  canal  is  in   emfaankmeat  t 

miles,  its  water  level  6  to  12  feet  above  the  Icrd^ 

ctnmtrj.     The  naal  a^  ndsts  of  130  miles  of  cfauiBi 

625  of  distribalariea.  wi  net  !20  miles  by  15. 

To  1830,  water  was  admitted  throngh  its  main  canal,  ^tersne 
ditnreoD  works  of  £3L  124;  in  1837,  the  capital  account  had iov 
to  £46  000,  and  in  that  yev,  which  was  one  of  famine,  it  71 
£10084  in  water  rate,  and  about  the  same  amount  in  incteased 
rerenne,  or  in  all  aboat  ^20  000  or  44  per  cent.;  the  acreage  thai 
only  96  000 ;  the  valae  of  crops  eared  hy  irrigation  was  £488  41 
eleven  times  the  cost  of  the  canal.  In  1846-47,  the  captlal  so 
was  £31 460,  and  the  acreage  was  106  705,  yielding  £12  175  U 
rate,  and  £149((5  as  increased  land  revenae,  or  as  gross  retnrUi 
cent,  on  the  capital.  The  works  completed  up  to  that  time  w 
follows: — Channels  main. and  branch,  465  miles;  irrigation  a 
136;  dams,  11 ;  drainage  ontlets,  1 ;  aquedncts,  7  ;  bridges,  71; 
and  escapes,  26  ;  lalb,  14;   mills,  12;    workshops  and  staticHl  b 

As  to  the  amount  of  irrigation  effected  by  this  canal  in  its  1 
Btagosofdevelopement,  comparatively  little  is  known;  in  1832-4 
tract  irrigated  was  276  square  miles,  yielding  £248  177  in  wate 
aud  £136  742  increased  land  in  revenue  ;  while  in  1850-51,  tli 
gated  tract  was  497  square  miles,  yielding  £384  919  in  water  ral 
the  same  amoant  of  increased  land  revenue  as  in  1832.  A  p 
of  the  canal  was  remodelled  in  1854,  and  new  escapes  were 
which  have  since  formed  injurious  swamps:  In  &ot,  even  ti  p 
the  necessary  drainage  wotks  can  hardly  be  said  to  have  been 


[51  j 

TrotolSe  year  18(53-64  the  wator  rates  were  ealmuced, 
!  to  distribntariefl  carried  ont  by  Government,  and 
k  niniiitonance ;  certain  improvemeats  were  also  eiFccted  by 
arks.  At  this  period,  a  largo  amount  of  water  was  nsually 
Vitract,  288  villages  taking  it  in  that  manner. 

I  of  the  principal  irrigated  crops  grown,  of  which  the 
by,  and  indigo  form  the  greatest  portioQ  of  tho  Eahbi,  op 
r  crop,  was  as  follows  for  four  years: — 


K 

1884 -fl6. 

1865-68. 

1888-87. 

1887-68. 

■.one,  unisl 

28  530 

23031 

20  817 

2G987 

W  -Ui,  -,! 

23O20 

33  091 

37122 

41345 

I»  ..j"'""'! 

14  405 

2  887 

5  080 

2G4G 

b»t  and  barley... 

73490 

74327 

139  267 

96  489 

iri-72,  the  gresB  retnma  amonntfid  to  nearly  80  per  cent.  < 
itftJ.  The  data  of  the  works,  the  finance,  and  the  irrigation  f 
reus  will  be  found  in  the  tabnlar  statistics, 


Gange»  Canal,  commenced  in  1843,  and  opened  in  1854,  ia  tho 
f  the  large  perennial  canals  of  Northern  India,  made  by  the 
.  It  may  ho  considered  at  present  to  bo  like  tho  Bari  Doab,  a 
reloped  eaual,  in  contradistinction  to  tho  Eastom  and  Western 

canals,  wliich  have  their  irrigation  fully  developed.  As  it 
o  be  the  fate  of  so  many  Indian  canals  to  be  allowed  to  remain 
rtially  developed  condition  for  a  long  time,  their  result*  when 
stage  are  natnrally  interesting,  although  they  do  not  admit  of 
imparison  with  those  of  completed  canals. 
principal  head  of  the  Granges  canal  ia  about  2^  miles  above  the 
tonn  of  pilgrimage,  Hardwar,  or  Handwar.  In  the  first  IS 
r  its  coarse  tho  canal  passes  the  Ratmu,  the  Ranipnr  and  the 
orrenta,  the  former  torrent  passing  through  at  the  same  level, 
!  two  latter  in  masonry  snperpassagea  over  the  canal.  At  the 
le,  above  Rurkhi,  the  canal  crosses  the  Solani  river  in  a  masonry 
ct;  tbe  embankments  of  approach  are  about  30  feet  above  the 
and  are  3  miles  long  ;  the  aqaednct  itself  is  920  feet  long,  in 
trches  of  50  feet  span,  and  30  feet  in  height.  From  this  point 
s  the  main  canal  nearly  follows  the   watershed  between  the 

and  the  Jamna  for  abont  181  miles  to  Nanun,  throwing  otT 
'sand  cuts  for  irrigation  and  navigation.  From  Nanan  the 
branch,  170  miles  long,  continues  to  Etawah,  where  it  falls  into 
npa,  and  the  western  branch  of  the  same  length  contiuuea  ( 


,[S2] 

Khanpor,  where  it  fulls  into  the  OuigM.     There  are  also  t*o 
bmnchos,  83  nod  10  milos  Iod^  respectively.   This  cuijd  u 
eito  1  it  ciimi'd  a  enppiy  of  5100  onbio  foet  per  socond  in  IS/Ov 
uliliii'd  'M  prr  cent,  of  it ;  benides  this  it  hue  nn  irrigating  aipKii 
1  M."-  OOO  nrnw.    As  to  dimensions,  the  first  foar  miles  from  li 
arc  in  nntumi  riiAtinul,  a  hraiieh  of  the  OivDgcs.  From  M&yapM,»l 
the  artifiritd  cmuvI  bt'ginB.  and  for  a  dislauee  of  50  mile!),  Ilio  «uil 
a  constant  bottom  widlh  of  140  feet,  a  depth  of  10  feet.  Mid  aJ.^1 
bed  of  I'S  feet  per  mile.     From  the  50lh  mite  where  the  F»» 
hmneh  tukna.   off,  down    to  h   mile,  where   the  GulMiibUk 

hmiK'h  Uku  off,  the  boUocn  la  130  feet,  and  the  detitfa  9 

from  tliu  ofllake  of  the  Bu  r  branefa  to  that  of  tlie  propMi 

Koel  branch,  the  bottnm  «  IIO  feet,  and  the  depth  B  I 

thence  to  Xanan  the  depth  be  same,  I>ut  the  bottum  bra 

rariea  from  1)6  to  80  feci  Utahgarli   branch   is  nt  pn 

83  miles  long,  the  Boland  ch  -54  miles  long ;  the  KW^ 

and  Elawah  bmuehcs  are  t  in  bottom  width  at  their  heal 

diminishing  gradually  to  Si  leir  lower  extremities. 

Of  the  details  of  the  works  asi  originnlly  contemplateil,  tliere 
UBpIe  giv-cu  in  the  large  work  of  Colonel  Sir  Probj  Cantley.  ihei 
ngner  and  coostmctor  of  this  canal,  of  whose  enei^,  patieDce,u)i 
perseverance,  it  ia  impossible  to  speak  too  highly,  when  reflecting 
the  diffieultien.  both  political  as  well  as  other,  that  he  had  to  encoanUr 

In  spite,  however,  of  tlie  lar^  amonnt  of  money  and  energy 
upon  tliis  canal,  it  is  a  pnrticulnrly  nnfortoiiate  one.      Its  vrorki  n« 
once  stopped  for  some  time,  owing  to  the  caprice  of  a  GoranM 
Oeuenil,  who  wished  it  to  be  made  into  n  purely  navigation  anal;! 
vas  defective  in  several  important  respects,  the  inclination  allowed  t^ 
its  bed  was  far  too  high,  its  bol  rvtrogresscd  and  its  (alls  were  dsmage^ 
BO  lliat  it  could  not  carry  its  fall  supply  nntil  about  l$t>6,  nhena  Ui^ 
additional  outlay  had  been  made.     Id  fact,  the  whole  of  the  cunti 
main  and  branches,  had  to  be  remodelled  throughout ;  and  the  distn^ 
butaries  had  been  so  badly  laid  oat,  that  hnudreds  of  miles  of  tho 
kave  been  abandoned  at  varioae  times.     The  remodelling  of  lie  CM* 
commenced  in  IStH,  is  now  going  on  ;  and  it  is  to  be  hoped  tbst  il 
will  eventnally  carry  the  full  supply  originally  intended,  withont  ift 
creasing  the  capital  account ,  now  £2  605  1 78  to  mach  beyond^}  cool 
While  4700  cubic  feet  per  second  ia  the  higbeet  Mnoont  <^  n>ivly 
ntiliced  on  this  canal,  it  la  probable  that  eventoaUy  it  may  riae  aa  I 
as  5500,  the  supply  for  which  it  was  originally  deaigned  and  iiiteb< 
being  6750  (or  70O0F)  ntlnc  feet  per  aecond ;  ahoaH  it, 


nodelliog,  arrive  at  that  irrigating  power,  it  will  tLeu  lia\ 
t  the  eupjily  of  tbe  Eastern  Janina  cana,!,  at  a  cost  < 
B  times  as  much  tlint  of  the  latter. 
e  of  the  principal  crops  irrigated  dnring  four  j-eara  w.i 


[S3] 


ISRt  35. 

1385-60, 

1S8B-67. 

1887-88. 

De,  annual 

.50  l.W 

58  416 

46  338 

55  232 

kharif  J 

22  46U 

23131 

30  539 

30  36B 

42  026 

10  406 

19  094 

5  616 

35166 

47  714 

70  48? 

76  684 

nd  barley 

338  971 

362  679 

400  444 

319  715 

ththirds  of  the  ii-rigation  effected  by  this  canal  is  fiusli,  or 
t  the  grouiid  surface,  the  remainder  is  delivered  at  a  low 
■ater  being  raised  to  the  surface  bj  native  meclianical 
In  order  to  catry  ont  tbe  irrigation  of  tbe  whole  of  the 
)&,  it  is  proposed  to  make  a  secondary  headworka  at  Rnj- 
Qangee,  and  to  supplement  the  Ganges  i-anal  by  new  works, 
jower  Gauges  canal,  estimated  to  cost  £1  82^  000  in  addi- 
irorks  were  commenced  In  1872,  and  £54  43'J  spent  in 
:  daring  that  year. 

,  the  expenditure  on  works,  the  retoms,  and  the  irrigation 
lal  daring  late  years,  are  given  in  the  tabular  statistics. 

J)oab  Canal,  iVom  the  Ravi  in  the  Panjab,  is  the  funrth  of 
rennial  canals  uf  Northeru  India. 

if-developed  canal,  undergoing  a  proceHs  of  remodelling, 
siniilar  to  tbe  Ganges  canal.  It  was  commenced  in 
m  origiiuil  estimate  of  JJSSOOOO,  and  tbe  gnjati:r  portion 
canal  and  works  are  now  finished ;  as  no  account  of  the 
ia  forthcoming,  it  will  be  best  to  describe  the  pro- 
itnplated, 

ia  taken  olT  from  the  left  bank  of  the  Ravi  near  Madho- 
L  length  of  28  miles  throws  out  the  Kasnr  branch  at 
^h  mile  of  the  Kosur  branch,  the  Subraon  branch  takes 
(O  branches  will  be  90  and  0?  miles  long  respectively,  the 
;  into  tbe  Easur  nulla  at  Aljowan,  tbe  latter  into  the 
at  Subraon.  The  portion  of  the  main  canal  from  the 
Kasnr  branch  to  that  of  the  Labor  branch,  which  is  situ- 
ftSnd  mile  near  AHwal.  is  deeignated  the  Upper  main 
■  24  miles  long.  The  remaining  portion  of  the  canal, 
1  of  the  Labor  bi-uncli  lo  the  Vahn  escaptr,  into  which  the 


tH] 

o&nal  ta^  W  the  Iiower  main  bntncb, !»  88  nulea  long, 

town  of  Aturilsftr,  tind  ilisclmrgcs  itaclf  through  tbe  Vabn  oof* 
tlic  Uavi.     The  Laiior  branch  from  Alitrnl  puses  l«bor,  aiul  tultl 
ttiu  tUvi  at  Niaxbeg,  1)  miles  Movt  Ijihur:  its  leitgth  is  wi)l  nikft 
The  section  of  each  branch  is  oa  follows ; — 

BnaJ^Bthckd.     DnudlhUtall. 


112        120        112 


20 


Bntl4>m.  HcM.     Hifhafc  t 


3-3 


Main  ling         

Uppor  tnain  br«ncti  ... 
Lower  main  braucb  •>. 

I^hor  l>ranch 

Upper  Kasor  brancli... 
Jjovror  KaEur  brancli... 
Snbrkoti  bmncli 

Tiiu  higbcBt  deptUs  I 
cubic  fret  per  second,  U 
onOdU:  tkvnitMui  widt 

Tbu  ni<:ui  vclouiljr,  wi 
per  second,  nud  thnt  with  &u  averogo  at-pth  of  4  2  feet  at  the  canal 
is  4  f<<rt  per  second. 

Tbo  (iiuml  IB  capable  of  irrigating  G54  OCI  acres  with  ful]  eupplj 
■  duty  of  "JIS  acnis  jk-t  cubic  feel  per  eecood. 

The  distribuluries  Juid  OBCapes  are  as  follows  : — 


K)  with  the  fall  aapply  of 
wiUi  the  lowest  recurdedsi^ 
)  wetted  section  at  fall  anpp^ 
pljr  dej'th of  iO feet, ii £3 k. 


Pron 
Main  line 

Kuiober  «t     ToUl 
15             93 

Alalibpar  .. 

Upper  main  bnuiob 

10 

75 

Gulpur      .. 

!» 

Lower  main  branch 

16 

25fi 

Sirkian     .. 

6 

Uhor  branch    ... 

.. 

23 

291 

Aliwal      .. 

11 

Kasnr  branch  ,., 
SubraoJi  bmnch 

} 

r  VaJm 

t  Naizbeg    .. 

IC 

In  the  neighbonrhood  of  Pathanlcot,  there  are  two  hill  torrenU.  tb 
Jennnh  and  the  Cliakki,  which  with  their  brunches  cross  the  liM  i' 
the  canal,  and  had  to  be  diverted. 

In  IHi'itl  it  was  found  that  the  cost  of  the  canal  wonid  notbelfi* 
than  Xl  3.>0iiW">,  niid  work  was  therefore  conceulraU>d  on  the  finl 
55  niiles  down  to  the  Labor  branch.  la  1859  water  was  admitted 
and  it  waa  then  found  that,  as  in  the  cose  of  the  Oaoges  canal,  Qt 
declivity  of  bod  allowed  was  too  great,  the  consequence  bdng  ezlCB 
Kive  chnuucUing  out  in  tbe  sondj  tracts  and  deep  holes  below  tb 


^kjh;  it  was  also  discoYered  that  tlic  niiiiimiini  snpply  of  lie   Ravi, 

lated  to  be  12753,  was  actually  only  1  111  cubic   feet  })cr  second, 

less  than  the  works  were  designed  to  carry. 

In  18G0,  a  native    canal,  the    Hasli,   yielding  £84  985  by   direct 

B,  and  £80  3S7  by  enhanced  land  tax,  was  incorporated  in  the 

t  of  the  Bari  Doab  canal,  which  then  yielded  nothing. 

1870,  or  eleven  years  after  the  above-mentioned  discovery,  the 

lling  of  the  canal  was  commenced,  and  the  Kasnr  and  Subraon 

proceeded  with,  bnt  as  an  additional  supply  from  the  Beas 

wed  fresli  works,  the  estimate  of  the  canal  and  branches  rose  to 

OOOOOO.     Progress  in  the  remodelling  was  going  on  in  1872-73, 

the  headworks  at  Madhopur  were  nearly  completed.     At  present 

aggregate  length  of  main  canal  completed  is  212  ont  of  247  miles, 

of  distribntaries,  692  miles.     In  spite  therefore  of  everything  to 

Bb  contrary,  the  irrigation  from  this  canal  in  1872  brought  in  a  gross 

■Ann  of  J^l  876,  or  a  net  return  of  £50  216,  or  nearly  4  per  cent,  on 

mioapital. 

•"  THie  acreage  of  the  principal  irrigated  crops   grown  during  four 

was  as  follows  : — 

1864-65. 

9  878 
29  212 

3  881 
97  722 


1865-66. 

9181 
53  564 

5  236 
69  827 


1866-67. 
9  156 

57  615 


12  511 

108  707 


1867-68. 
10  600 

63  691 

21 101 

122  720 


Sngar-cane,  annual 
Rice \  f 

Cotton       .../''^'''"M 
Cereals,  rabbi    

The  estimated  value  of  tho  irrigated  crops  grown  is  as  follows,  for 
fe^veral  years : — 

In  1860-61,  £256  024;  in  1861-62,  £307  238;  in  1862-63, 
ei92  668  ;  in  1863-64,  £241  969  ;  and  in  1872-73,  £913,706. 

Details  of  the  works,  the  finance,  and  the  irrigation  from  this  canal 
tee  given  in  the  tabular  statistics. 

The  Minor  Canals  of  the  North-West  Frovinces. 
The  Dun  Canals  consist  of  five  perennial  canals  of  an  aggregate 
length  of  (^  miles  in  the  Dera  Dun,  a  valley  of  the  Sawalikh,  or  lower 
Himalayas,  north-west  of  Hardwar : — they  consist  of — 


Miles 
long. 

Dincharge 
in  1872.73. 

Supply 
utilized. 

Opened 
in 

Aci'eage 
in  1872-73. 

The  Bejapur 

11 

C.  ft.  p.  80C. 

39 

C.ft.p.80C. 

30 

1840 

Acres. 

5432 

The  Rajpur 

12 

11 

9 

1843 

2736 

Tho  Kuttapatthar 

19 

33 

17 

1854 

28 

The  Kattanga     ... 

13 

25 

15 

1859 

20 

The  Jakhan 

12 

15 

9 

1863 

11 

'I'l.o  :un  asre  of  irrigated  laud  was  not  fnllj  meadiired  nntil  1S67. 

The  distrihutarit's  have   an   aggregate  length  of  67  miles.  Ail 

time  the  eapital  outlay  amounted  to  £54  365;  the  direct  and  ii 

returns  for  that  year  were  i^351S  and  £475,  of  which  £1862 

rent,  while  the  working  expenses  were  £2514;  in  1872-7SOi0i 

expended  was  £57  253,  the  direct  and  indiieet  refcanui  ftr  At^ 

£1791,  of  which  £2390  was  mill  rent,  and  £475,  aqi  Qm 

expenses,  £2504;  the  acreage  irrigated  in  each  of  ihaM  JMI- 

thus  :— 

Khtrif.  BslM.  fM. 

1H67-68  4334  7654  11986 

1872-73  5217  8785  14001 

The  water  rates  were  rednoed  in  1871,  thus  OMuing  a 

loss ;  but  in  the  future  these  canals  will,  after  the 

in  progress  are  effected,  yield  higher  letama. 

The  Eohilkand  and  Bijnaur  Csiielff.— These  oonsiaiof  a: 
ancient  badly-designed  lines,  which  are  worked  at  a  loss  rt 
though  after  remodelling  may  yjeld  veiy  good  reenit: — ^they  an 

The  Baigml  group        ••.  ••,  106  milei. 

The  Elitcha  Dhora  group  •••  S2    ^   . 

The  Paha  „  .„  *«    „ 

The  Eailas 

The 

The 

The  capital  outlay  up  to  1872-73  was  £103  600;  the  direct,  indiredi 
revenue  and  working  expenses  for  the  year  £3438,  £2261,  and£olS 
respwtively  ;  the  acreage,  Kharif  21  204;  Rabbi  344i6;  Totid  oSfiW 
acres.  The  length  of  distributaries  was  increased  from  180  miles  ib 
18G7-0S  to  294  miles  in  1872-73. 

The  Sarhind  Canal ^  from  the  Satlaj  in  the  Panjab,  is  a  perenniil 
canal  now  under  construction.  It  was  originally  projected  by  Sr 
William  Baker,  in  1840,  the  detailed  project  was  submitted  bf 
Colonel  Croflon,  in  1802,  and  estimates  for  the  works  to  the  valae  o( 
£2  980  427  were  sanctioned  early  in  1872. 

The  headworks  are  at  Rupar,  a  town  at  the  foot  of  the  hills.  At 
the  3Sth  mile  (these  are  canal  miles  of  5000  feet)  the  main  csnal 
en.)sses  the  Grand  Trunk  Road,  and  the  railway  from  Ludhiana  to 
Ainhala.  At  the  41st  mile  the  main  canal  ends,  and  the  feeder  line 
and  the  combined  British  branches  take  off.  The  length  of  the  com- 
biucd  British  branches  is  te  be  3  miles,  after  which  they  will  divide 


Nchtor  J       *  f 


•  •• 


13 
88 


n 


n 


\  Cbobar  branch,  125  miles  long,  and  tlie  Bbatimla  branch  J 
I  long;  the  former  of  tUese  will  be  navigable  up  to  its  SIflt  I 
mce  the  Satlaj  navigation  channel  will  take  off  and  after  &  ' 
5  milea  tail  into  the  Satlaj.     The  feeder  line,  which  i 
a  of  the  main  line,  will  be  divided  into  three  sectionB  by 
I  of  the  Kotia,  Oaggar,  and  Choa  branches  of  the  canal, 
i;  to  native  states,  which  take  off  on  the  right  side  of  the  line ; 
ingths  of  the  three  sections  of  the  feeder  line  being  14,  16,  and 
i]ce  reppectively,  while  that  of  the  three  branches  are  to  be  iX),  Sfi, 
2ii  miles.     The  end  of  the  feeder  line   is  to   be  the   point  of 
itiott  of  the  heads  of  the  Choa  branch  and  the  Putiala  navigatioi 
ich.     The  latter  will  be  6  miles  long,  and  will  tail  into  the  Patialf 
■h  ncnr  Patiato.     The  Choa  branch  will  'for  the  present  tail  into 
Gafrgar  river,  although  it  was  proposed  to  connect  it  with  the 
Rtem  Jamna  canal  bj  a  navigation  cut  55  miles  long,  joining  it 
ndri. 

"his  canal  Iwing  partly  for  the  beneSt  of  native  territory,  one-tliird 
its  cost  will  be  borne  by  tliree  native  states. 

Jp  to  the  end  of  1870-71,  the  capital  account  amounted  to  £185  667,    ' 
irliich   half  was   expended   in   works;    to  the  end  of  1871—72,    | 
5  leo,  of  which  £17G  260  was  on  works ;  to  the  end  of  1872-73,   • 
1  315,  of  which  £425  078  was  expended  in  works,  independently  of 
bliehment  1  of  the  latter  sum,  £240  613  was  expended  on  about 
million  cubic  feel  of  earthwork,  and  £107  010  on  bead  and  regn* 
ig  works, 

bis  canal  with  its  branches  will  be  G54  miles  long,  and  will  irri- 
783  000  acres  in  a  most  neglected  tract  of  country. 

(a  jtgra  Canal  is  like  the  Sarhind  canal,  a  perennial  canal  under 
truction  ;  it  will  irrigate  a  tract  on  the  right  bank  of  the  Jamna, 
reen  it  and  the  Khari  Naddi,  from  below  Delhi  to  the  Utangaa    I 
r  below  Agra.  I 

be  total  length  of  main  canal  is  to  be  140  miles,  its  bottom  widtt)  9 
le  head,  70  feet ;  its  supply  will  be  1100  cabic  feet  per  second  in  . 
Rabbi  season,  and  2000  cubic  feet  per  second  in  the  Kharif  ' 
un,  requiring  respective  depths  of  7  and  10  feet.     The  irrigable    ] 

is  about  1:200  eqoare  miles,  of  which  abont  one-tenth  is  uncaU 
ble  waste,  and  one-fitlh  is  irrigated  from  wells.  , 

lie  supply  of  the  Jarona  at  Okhia  having  lately  been  found  to  fall  J 
sionally  below  SOO  cubic  feet  per  second,  in  May  1870  having  been  J 

472ttud  in  January  1871  only  76t>  cubic  feet  per  second,  tho  supply  J 


[58] 

of  the  Hindi  icli  is  c&\  able  of  giving  300  cubic  feet,  will 

used  in  supple mcutiiig  the  cnual,  giving  nltcgether  800  cubic  fe«t  u^ 
ccrtnio  miniinum  supply,  according  to  which  tlio  depths  needfnl 
savigatiou  tLre  detormiiiod. 

The  fall  of  the  canal  from  the  bead  to  the  .S2nd  mile  is  5  fist  per 
mile;  at  thie  point  is  an  overfall  of  5'7i'i  feet,  and  beyond  that  to  tin 
Btith  mile,  the  gradient  is  1"0  per  mile  j  after  which  it  vari 
•33  to  1-00  feet  per  mile ;  below  tiie  ll7tb  mile  it  becomos  a  tdntpla 
distributary. 

"  are  as  follows; — 


The  diachargsB 

nd  Telooitie 

Mileage. 

BiJOl. 

Uead  to  Si     .. 

70" 

70  to  80    ., 

80  to  SSg  .. 

«$B  to  95|  ., 

85g  to  100    .. 


24-2 


70 


'elocitiei. 

Diiehujti. 

(  1-82 
i2-3(> 

(    BOO  BOD. 
1 2000  niix. 

(2-25 
(2-76 

(    587    „ 
U2*>2     ., 

J  2-29 
(288 

(    574     „ 
|l23i)     „ 

(228 
12-82 

(    485     „ 

(2-27 
12-75 

(   429     „ 

I    910     ,. 

(2  2d 
i2-C9 

f    326     ., 
(   G70    „ 

(2-20 
(2-62 

f    270    „ 
(    535     ,. 

(1-24 
[l-41 

f    176    „ 
I    309     „ 

(1-22 

(    172     „ 
I    303     „ 

From  100  to  117  miles  the  bottom  widths  vary  from  21tol8fe«t;    I 

the  depths  from  3-7  to  5-2,  the  velocities  from  1-5  to  23,  and  the  do-    I 
cbargB  at  the  117th  mile  is  from  130  to  203  cubic  feet  per  second.        , 
The   hcadworks   at  Okhla  were  begun  at  the  end  of  1S68,  ani  • 
generally  open  iu  ls73  ;  thoeopplomentaryheftdworka  on  the  Hinita 
below  the  Kailway  Bridge,  are  connected  with  the  former  by  a  rasd 
having  B,  bottom  width  of  24  feet,  and  discharging  291  cubic  feet  pffl 
second  with  a  depth  of  5*6  feet;  it  is  9  miles  long,  and  enters  d« 
Jarana  at  one  mile  above  Okhin,  whore  tliere  is  a  lock  to  prevent  tbe 
return  of  flood  water.     The  distributaries  have  discharges  vaTying 
&om  140  to  25  cubic  feet  per  second ;  tbe  principal  works,  bridge^ 
eacapaa,  and  weirs  are  comparatively  inexpensive.     The  total  estuMt^ 
-  ooBt.  of  the  Agra  canal  is  £M0  78S,  of  which  £12i  200  is  tint  << 


[5011 
krica  ;  tbe  total  tirea  of  irrigation  is  caJculnted  at  704  (lOO  ncros,  } 
I  probable  net  income  when  the  irrigation  is  fully  devolopixl 
1  to  be  £5i;i/5,  in  addition  to  £if)00  from  Ba^-igation  and 
r  abont  10  per  cent.  net. 
» tlie  end  of  1872-73,  the  capital  acconnt  stood  at  £132  267,  . 
I  X302  69a  WHS  incurred  on  acconnt  of   works  and  plant, 
1  eetablishnient,  this  amount  having  been  spent  in  five 
I  Of  the  above  outlay,  JE30131  was  spent  on  plant,  £106414  1 
Siwork,  £80  OU  on  faib  and  weirs,  £37  73G  on  bridges,  and  j 
>a  buildings,  and  the  remainder  on  niiscullancuus  works. 

The  Orina  CanaU. 
if  main  canals  in  tbe  Orissa  delta  for  navigation  and  irrigatiout  1 
with  head  works  and  diatribataries. 

The  headworkn  proposed  for  these  canals  consist  of  three  weirt 
amra  the  Mahanaddi,  the  Eatjnri  and  the  Biiropa,  6tOO,  3900,  and 
SSUfeet  long  respectively ;  the  two  first  12'5,  and  tJie  third  y  feet 
i^;  thcj  are  of  modern  design,  having  movable  iron  stanchions 
Bi  dhntt^TS,  that  admit  of  being  lowered  to  allow  floods  to  pass  over 
hum.  The  canal  for  the  irrigation  of  the  central  delta,  between  the 
Ifchaaaddi  and  the  Katjnri,  is  taken  off  from  the  right  Rank  of  tlio 
ilaltsiiaddi  weir,  and  a  junction  canal  will  connect  it  with  the  KatjurL 

he  Taldandah  canal  also  takes  off  from  the  right  flank,  and  raus  to 
Ktdoudah,  the  limit  to  tidal  navigation,  and  it,  with  its  branch,  the 
Uchgong  canal,  will  eventually  irrigato  ISo  OOO  acres  of  the  central 
elta  1  they  can  now  irrigate  30000,  being  in  use  for  about  one-third 
'  thdr  lengths,  or  S2  miles  of  each.  Two  canals  are  led  off  from  the 
«3Mpa  weir:  the  one  from  the  loft  bank  is  the  high-level  canal,  de- 
gned  for  navigation  from  Kattak  to  Calcutta ;  of  this  the  first  32  miles 
'  the  river  Bralunaui  arc  open,  and  the  greater  part  of  its  diatribu. 
ries  for  the  irrigation  of  80  000  acres  are  completed;  the  other  from 
e  right  flank  of  the  Boi-opa  weir,  intended  to  irrigate  tho  country 
'tween  the  Mahanaddi  and  the  Brahmani,  is  called  tbe  Eendrapara 
n&l ;  it  is  160  feet  wide  and  7  feet  deep,  and  is  intended  to  irrigate 
0  OUO  acres  of  the  northern  delta,  at  a  dnly  of  120  acres  per  onbi 
Jt  per  second  of  supply  ;  tbe  distributaries  have  an  aggregate  length 
171  miles,  and  wilt  irrigate  85  000  acres;  and  its  Pattamandi  branch 
URg  off  on  the  fourth  mile,  and  running  to  a  port  on  the  estuary  of 
3  flrabinam,  will  irrigate  113  000  acres. 

Tho  prtMCiit  estimate  of  the  cost  of  thoic  works  is  i^2  698  'ZiK.',  tuid 
^  *t»  iat«Hded  to  in-igaU)  1  600  000  aereH. 


I 


[60] 

The  Midnapnr  ctina],  opened  in  1871,  connects  Uidaapnr  with  tii 
water  in  the  Hughli,  IG  mileB  below  Calcntto,  and  forms  a  conunnd 
CatioD  between  that  river  and  tlie  Kusi,  Rnpnarain,  and  Damnda.  I 
will  be  ^2  miles  long,  and  will  eSect  the  irrigation  and  drainage  q 
200000  acres:  it  is  now  capable  of  imgating  72  000,  bat  iU  di&lrilnj 
taries  and  drainage  channels  areBtiJl  incomplete.  Its  estitoiited  cost  i 
X931  000. 

The  history  of  the  Orissa  Canals  is  as  follows: — 

The  preliminary  designs,   drawn  np  by  Col.  Sir  Aitimr  Oottof 


I  May,  1858, 
irrigate  2  250  000  acres.  A  c 
Company  in  Jane,  ISGl,  and 
million  as  a  first  issue.  Si' 
were  di-awa  up  afterwards 
estimate  amounting  to  tw 
irrigation  one  and  a  half  n 
hour  per  acre. 

Certain  initiatoiy  works 


t  iiaOttOOO,  and  intended  H 
as  granted  to  the  E,  I.  Irrigitioi 
tvna  raised  to  the  amount  of  out 
'eliiuinary  designs,  and  eatiinktii 
ol.  Uundall  by  May,  ISfiS;  tbt 
I,  and  the  proposed  amount  oI 
I,  at  a  duty  of  one  cahio  yud  p^ 

latod  in  detail,  tims: — 


1.  Head  works,  comprising  the  naii^  weir,  the  Uahanaddi 

anient,    the  Beropa  anient,   and  the  Kattak  head- 
works,  ISOU'long  X  7i'  high    ...              ...             ...  £IG599{ 

2.  First  Section  of  High-level  Caaal,  32  miles  from  the 

Kahanaddi  to  the  lirahmani                                      ...  56  449 

Its  distributaries,  112  miles  for  S7  000  acres                ...  ViHtH 

3.  Kendrapnra  Canal,  iii  miles,  Kattak  to  Fabo  Point    ...  33S3I 

Its  diBlrihutarieB,  1 80  miles  for  270  000  acres             ...  40  50£ 

4.  Midnapar  Canal,  48i  mik-s,  Midnapar  to  the  Hughli  ...  15234 

Its  diatribntaries,  160  miloj  for  l-tS  600  acres              ...  22271 

5.  Tidal  Canal,firattwo  reaehes27miks  from  theRupnarain  ^ll! 

30  per  cent,  for  stores  and  management             ...              ,„  IC059 

Surveys  of  general  scheme,  purchase  of  a  fleet  of  boats, 
London  Offices,  and  preliminary  expenses  had  already 

coat    ...                 ...                  ...                  ...                  ...  123931 

Interest  already  paid  to  shareholders               ...                  ...  112471 


Total  estimated  cost  oi  initiatory  scheme 


[«'J1 

*^iiat«d  renim.     N'avigation  to  repay  establisli me nt  and  manage- 
nnd  the  irrigation  of  505  500  acrea,  at  5  Ra.  per  annum,  to  yield  i 
■  return  of  36  per  cent,  on  the  £6QTi  848,  and  deducting  5  per  I 
I'lr  repairs  and  mftintcnance,  31  per  cent,  net ;  or  21  per  cent,  oa  ] 
!:llLun  of  total  expenditare  estimated. 

works  were  begnn  in  December,  1SG3.  Irrigation  was  first  J 
i-li;  in  December,  1865,  waa  first  taken  np  in  April,  1866,  and  J 
I  to  yield  retnrna  in  October,  186G.  Navigation  began  to  yield  J 
■;i  in  March,  1865,  The  Company  sold  the  Orissa  undertaking  I 
'  'roember,    1S67 ;   the  works  constmcted  and  returns   being  as  i 

III'  total  araonst  of  work  done  by  Slat  May,  1867,  under  the  heads  I 
ol  the  preceding  estimate,  waa — 1.  Hcadworks  open,  bnt  not  O' 
plete;  2.  High-level  Canal,  10  milea  open,  12  nearly  ready,  and  17  1 
»11m  of  distribntariee  open  ;  3.  Kendrapara  Canal,  30  miles  open,  to  a  1 
raduecd  width,  and  7~  miles  of  d  is  tributaries  open ;  4  Midnapur 
Canal,  28^  miles  under  construction,  10  nearly  ready,  and  46  milea  of  | 
dijlribntaries  open;  5.  Tidal  Canal,  27  milei  open  without  locks. 
Vuer  waa  then  available  for  153  400  acces  nf  irrigation. 

Between  May  and  December,  1867,  further  work  was  done  on  the 
*han  canals,  details  of  which  are  wanting,  aa  well  as  23  miles  of  [ 
•Mfflpleted  work  on  the  Taldandab  canal.     Tbc  expenditure,  up  to  I 
October,  1867,  was  as  follows : — 

Expenditure— on  works  up  to  June,  1867  ...  JE620  000  J 

.,                               from  June  to  October  ...  187  936  j 

„                               from  Oct.  to  Dec.  1867  ,,.  not  known,  I 

Total  cipendod  on  works  in  India           .,.  ...  807936  1 

Total  on  all  acconnts                   ...             ...  ...  8S48611 

Balances       ...             ...             ...             ...  ...  58  67t 


Receipts— not  including  Govt,  loan  of  £120  000    ...  .£943  532  1 


Rctnms  from  irrigation  in  October,  1866,  and  February,  1867. 
At5Rs.         —  1U67  acres  and     573  acres  ...  £    821 

At  3  Ra.         ...  1018  acres  and  2r)72  acres  ...      1077 

At  I^  and  1  Rs.  261  acres  and  1183  acres  ...        188 

Total,  6674  acres  irrigated  ...  £2086 
s  time  water  was  available  for  00  000  acres. 


im 


at  U>o  Cii>i  nf  Ocbiber,  tSr>7. 


•007  ftOKS,  kk  5  Rs. t)m 

UH5       „     „     8  313 

3S5      ,.    „    2  77 

1799      „    „    1  ...        «*^'  "■-•*.•        ...  M 

SGoo    „   „  }        ...     .».      A.     ...     m 

Totel  9686  MM  '«        »        ...  ££^^ 

Wkts^feMSOOOwrasBtokn^Talaa  £2SW 

At  this  liiH!  watOT- wu  ftnOdiltt  fcr  1S8  boo  aens. 

Botanu  from  BaT^ptiaB,  beBi&uifi^  IDuch,  18€3. 
Daring  186S,  £476 ;  1804,  £^M3;  I86S,<10S9;  lS6e,£IU5;  tn 

1867,  to  Slrt  Aognst,  £1669.        Totel  Nsrigatian  Retimu    59^ 

Total  ntuns,  otiiiaA 


Own  not  mined 


£13  n;! 


At  the  tune  of  aale,  Uu  Co^n^  Kad  watac  amulable  for  200miO 
aorv,  which  at  5  Ba.  per  acn  woaU  jriald  £100  000,  or  about  10  per 
eent  on'tho  total  expeaditnn^  bad  the  caltiyatora  taken  the  wahir ;  » 
however  tlvf  did  not,  and  the  Act  had  not  thco  beeii  issaed  (pctsied 
in  Febnaij,  1S70)  to  reooror  rates  from  hod  brought  ttaivr  wiitf- 
conunand,  it  woold  have  been  unwise  to  extend  the  works,  and  Clw  i 
Companj  were  tiien  forced  to  sell  np  at  par  to  the  Ooreniment 

From  1S67  to  1873,  these  WMks  have  been  carried  on  by  th«  PgUia 
Wwka  Department  On  the  Ist  April.  1873,  the  capital  acoonnla  itooi 
thns:— 

The  Mahanaddl  Project,  inclading  the  Biahmani  and 

Baitarni  Series  ...  ...  ...       £1221577 

The  Midnapnr  Project,  indnding  the  Tidal  Canal    ...  69SBU 

Total    £1917389 


Tlie  sUte  of  the  works  was  tiins  in  1872-73( — 


High-lerel  Canal... 
Kradrapara  Canal 
Tnldanda  Canal  ... 
UnohgoDg  Canal... 
Miiinapar  Canal  ...  24 
Tidal  Canal 62 


37  -0021  7M0d 
40  -0032  313000 
271  00*2  ■» 
6  -0040  j 
24       ...  13S150 


^11 


£ 
SlilS 
2116 


i 

till 


11500         SOOO- 


The  expenditure  mentioned  doeB  not   include   oslablishment    nof^"* 
jpvcrportionnto  cost  of  headworks. — Tlio  euppiy  provided  for  the  areas 
'VVU  ftt  the  irrigating  dnty  of  one  cnbic  foot  per  second  for  133  acres. 

The  discliurge  passing  down  tho  Kendrapara  canat  varied  from  50D 
^mbic  feet  per  second  in  August,  to  126  in  JIarcli,  and  in  tlie  liigh- 
&«ord  mnni  from  351)  in  Jnly,  to  1X5  in  March  ;  each  of  the  cunals  tvere 
•closed  for  repair  for  aboat  two  months  in  the  cold  weather. 

In  IStll),  the  water  rates  having  been  lowered  from  10b.  to  2b.  per 
acre,  thu  gross  revenue  amounted  only  to  £i41;  in  1S69-70,  it  amounted 
tii£5235;in  1870-71,  the  acreage  actually  irrigated  waa  22  128  acres; 
and  in  lfe71-72  only  11  0o2  acres,  demands  for  water  rate  being  aban- 
doned by  the  revenne  collectorB,  and  only  £1 772  being  actually  ooUccted. 
In  the  year  1872-73  the  total  acreage  of  irrigation  was  only  4753 
HOTS,  jiflding  ^4263  in  water  rate,  and  the  navigation  retorae  on  a 
tonnage  of  154  422  tons  amounted  to  £4750 ;  the  total  receipts, 
including  £1481  from  varions  other  sources,  amounting  to  £10S93, 
thd  highest  year's  revenne  yet  obtained. 

Tht  Son  Canala. — These  conetiluting  a  portion  of  the  Bahar  project 
of  Colonel  Dickena,  are  designed  to  provide  high-level  navigation  for 
iDJ  coilea  from  Mirzapnr  on  the  Ganges  through  Dehri,  the  lieadworka 
oil  tiie  Son,  to  hlanghir  on  the  Ganges,  and  to  irrigate  the  country  on 
tifith  banka  of  the  Son,  between  this  line  of  navigation  and  the  Ganges, 
I'lieWcstcm  main  canal,  fi-om  Dehri  to  Mirzapur,  wiil  be  125  miles  long, 
mil  will  command  tho  irrigation  of  an  area  of  2100  square  milea ;  tho 
i"istem  main  canal  from  Dehri  to  Manghir,  170  miles  long,  command- 
'ii;'30(K)  square  miles.  The  main  canals  are  designed  to  carry  5300 
'nl>io  feet  per  second,  with  a  depth  of  water  of  t*  feet,  and  a  bottom 
'tidth  of  180  feet;  in  the  Eastern  canal  tho  fall  from  tho  Son  to  the 
''sripes,  of  123  feet,  will  be  overcome  by  a  aeries  of  locks.  It  was 
'>fi[:inally  intended  that  these  and  other  works  should  have  been 
'■■ifriod  ont  with  English  capital,  ander  the  Eajit-Inilia  Irrigation 
'-'oiapany  in  1867 ; — they  were  however  commenced  in  1870  by  the 
Public  Works  Department,  under  Mr,  Levinge,  aided  by  about 
twenty  English  engineers. 

The  Western  Main  Canal  was  nearly  compleled  to  full  dimensiona 
'  r  a  length  of  22  mites  by  the  end  of  March,  1873 ;  and  its  bridges 
111  siphons  were  in  progress.  The  Eastern  Main  Canal  was  then  also 
;iriy  completed  for  eight  miles.  On  the  Arrah  Canal,  which  is  to  be 
"  '  miles  long,  and  will  irrigate  430  OOO  acres,  gronnd  had  been  broken 
...ur  CO  miles;  and  sis  looks,  two  bridges,  and  seven  i^iphona  wore  ii 
HBpgri  ss.     Oij  th.'  r'ifna  Canal,  wliicb  w\U  lie  ft\  mW«,  \w\^,  wr.i.-d 


CM] 

itT^ste  890000  acm,  ttro-thirdB  of  tiie  mrtliworic  wu  enntal 

in  1872-73. 

At  the  hndvot^  tbe  nuuonr;  well  blocks  of  the  nppier  breMt-*^ 
of  the  weir  werv  suuk  right  acroaa  the  river  ia  l!47i)-7[,  ud  is 
1871-72  tboM  rf  the  lower  breast- wall,  as  well  &s  parts  of  the 
•nd  onder  aluoes  nsd  head  locks  ;  tha  stone  being  brought  bf  loco- 
notiTM  from  qoBtries  scren  miles  off. 

The  following  is  na  abstract  of  the  eslJmftte  of  cost  of  the  wotki  >— 
£95  milea  td  Ugfa-Ievel  main  ranal  at  per  mile,  £4000  £\  ISOOOD 

240  miles  of  nuun  irrigation  and  navigable  canal,  at  £3000        7£OO0a 
928  milea  of  main  irrigation  distribotanes      ...     „    £500        464000 

361 000  MTM  irTi^t«a  in  detaU  „        £2        ^OOO 

S26250acrwaf  ftiinor  dninage  works  8e.  130509 

Headworks 225009 

WoAahc^l,  »Mter,  Ac      'UOOO 


lance  at  12- 
Tools  and  pUct 


410SMi 
8OOO0 


£3  7751)00 


To«*L 

£U£493 

251 SS7 

£697079 

1  eBpmatSf 


The  capital  aoconnt  is  as  follows: — 

Wor)u  kad  Pluil.       EiUbliibmeDt. 

Up  to  lat  April,  lsr2  £366  03»i  £77  Ua 

During  1872-73  210951  40635 

Up  to  1st  April.  1873  £578  987  £118  091 

The  Son  weir  is  2^  miles  long  and  8  feet  high,  and 
int«r«sting  fts  an  example  of  the  most  modem  ccmstmction,  exHUting 
like  the  wein  on  the  Orissa  canals,  also  deugned  hj  civil  engineen^ 
a  vmst  improrement  over  ei^iything  jet  done  in  works  of  this  clsas  in 
India.     It  is  ftohMe  that  these  canals  will  be  partlj  open  in  1875. 

Tke  SmitJtJtmmd  Canalt,  from  the  rivers  Betwa  and  Daasan  propOMd    ' 
'7  the  lat«  Captain  A.  H.  Bagge,  of  the  Bengal  Engineers,  still  remsa 
■  projects  nnder  contemplation :  detuled  surreys  were,  however  oo» 
Aeuced  in  \^7S. 

TRB  IXrXPATIfUl  CUilA  OP  THE   PAXJAB. 

1.  The  XoKvr  &ithj  mmJ  CI«iw6  OnMli.— The  (sanals  frtnn  the  Lone 
S»Uaj  are  19  in  number,  and  have  an  aggr^ate  length  of  418  mila; 
thoae  from  thcCbenabare  13  innnnbar,  andhaveaiinggr^tateknglk 
of  233  mile«;— t:h«  w\uAe  of  Uiew,  Axcc^ng  19  miles,  wen  eon- 
ilruotod  and  in  woArag  (odw  »fc  ft«  i™»  «*  "ii^  ^rtfa^  wmmtDCM.-. 


^Uiew  oaaals  varies  from  5  to  36  feet,  and  their  depth  of 
I  diatributarieB,  irrigation  being 
'  private  water-ci 


V  from  3  to  11  feet ;  tliey  have  t, 
Ged  direct  trom  them  by  meaue  c 


6  miles 


Brendth. 
33J  feet 
60     „ 


Depth.   Diatribnti 

35  feet"! 


-|, 


Th£  Vpper  Satlaj  CanaU  a 

heKaJtora 
be  Ehanwah     ... 
he  Upper  Sohag 
ba  Lower  Sohng 

le  first  was  constmcted  by  the  British  Government,  and  opened  in 
.  The  second  was  constmcted,  for  a  leiigth  of  133  miles  during 
■eign  of  Akbar:  it  was  reopened  in  1843,  and  extended  by  the 
ah  Government  for  18  miles  from  Dewalpur  southward  ;  25  miles 
stribntsries  were  aUo  constructed  at  that  time.  The  third  was 
!rDct«d  by  the  British  Government,  and  opened  in  1S55  ;  it  has 
distrihataries  belonging  to  Government,  12  miles  in  aggregate 
h,  and  two  to  landholders  of  16  miles,  or  28  miles  in  all ;  a  new 
TTM  completed  in  1S71  to  servo  as  an  alternative  entrance  to  this 
[,  for  occasions  when  the  river  sots  in  on  the  old  head.  The 
h  was  constmcted  by  a  landholder  shortly  after  the  British  annei- 
.  There  is  also  another  canal,  called  tlie  Nikki,  about  which 
cnlors  are  wanting, 

23e  Jkelam  CanaU. — There  are    19  inundation  canals  from  this 
in  the  Shahpnr  district!  thoy  were  purchased  from  local  funds  in 
Tho  dimensions  of  two  of  them  are  as  follows : — 


Iicngtli.        Mena  breadth.  ATerago  di 
17  miles  18  feet  6       fe 


Shahpur  Canal 
Sahiwal  Canal 


19 


10 


The  India  Canah  are  13  in  number,  and  have  an  aggregate 
b  of  577  miles,  varying  from  9  to  97  miles  in  length  ;  they  are  ail 
1  from  the  right  bank  of  the  Indus  in  the  Dera-Qhani  Khan 
ct,  at  the  Bonth'Westem  corner  of  the  Panjab  frontier;  their 
th  varies  from  11  to  60  feet,  and  their  depth  of  water  from 
1-5  feeti  they  have  branches,  but  none  of  them  have  separate  dis- 
•wy  channels,  They  were  all,  except  one  of  07  miles,  the  Dliundi, 
ng  at  the  date  of  British  annexation  ;  but  branches  to  the  aggre- 
ength  of  32  miles  have  been  added  since,  half  the  expense  being 
by  tho  British  Government,  and  half  by  the  proprietors  of  the 
ifited.     In  addition  to  the  above,  two  canals, the  FasllwaJ 


tC6] 

and  the  Masawah,  hsTe  been  comitmeted  and  Maintained  bj  pni 

entorpriBO, 

Thorc  are  also  some  cnoals  m  the  districts  of  MuiAffargsrb.  VeiAm 
and  Bnnnu,  about  which  no  iDforination  oxists  in  the  record. 

In  nddition  to  the  canals,  there  axv  a  number  of  embtmkmi 
aggregating  a  length  of  3S  tnilca,  in  the  neigbboarhuod  of  Dna-Q 
Ehon,  that  were  constructed  in  1S54  and  1863  for  tlio  porpi* 
Bhntting  out  overflowa  in  the  rainy  season,  which  used  annnallj  uSi 
taie  large  tmcts  of  country,  and  neoessitato  remisaians  of  Gorerui 
land- re  Venn  0. 


The  financial  resnlts  ai 
n  1872-78,  were  aa  follow 


fc  of  the  Ponjftb  Inniiil8.tJwi  Ci 


Lower  Satlaj 
and  Chenab 
Upper  Satlaj 

(average) 

Jhflam 


10  520 


2  122 


no 


lfi621 

18  04t> 


4fl-l 


Aere»ge  irrip(«il  a  1  iiS 


EhMif-   I  Et.bbi.      T 


74  914^  60  44G  13 

133  81S  iTSWlS 

i'iid   1 


Of  the  acreage  irrigated  by  the  Lower  Satlaj  and  Chenab  C 

20  per  cent,  was  lift  irrigation.     The  mean  discharge  of  the  1 

.   Satlaj  Canals  was  1742,  and  that  of  the  Indus  Canals  4107  cub 

per  second  in  1872.     The  Jhelam  Canals  are  nnder  the  manag 

of  the  collectors. 


TUE   CltULS   OF   THE    BOMBAT   FkESIDEKCT. 

3^e  Sakkar  and  Shaidadpur  perennial  canal,  from  the  Indus  ii 
commenced  in  1861  with  an  estimate  of  £72982,  was  opened  in 
it  is  63  miles  long,  will  irrigate  140000  Sinditm  bigas  of  land, 
expected  to  yield  a  revenue  of  £210  000. 

Tfie  Sind  Inundation  Canalt  are  of  native  origin,  their  nam 
lengths  are  as  follows: — 


West  of  the  Indus. 
The  Sind 
The  Ghar 
The  Western  Hara 
The  Bigari       ... 


He&d. 

21  miles  below  Sakkar 
23  miles  below  Sakkar 
27  miles  below  Sakkar 
unknown 


66    3bn 
2bii 

70    300 1 
4S    40f 


1  of  tb  ladut, 

Saateea  Nara,  Ron,  improved  in  IBHO.  Atrei. 

ffitran  branch  of  the  E,  Nam,  British,  ISOmifes,  irrigatee  1S7  000 
Thar  branch  of  the  E.  Nara  ...  „  gg  000 

i'aUali  ...  Natural  branch  of  Indna  irrigating  Haidarabod. 
ig  very  doubtful  whether  a  large  proportion  of  tbeso  canalti  are 
apro\'ed  nataral  chnnnets  ;  there  is  very  little  information  ahoot 
rigation  effected  by  them  ;  they  will  probably  be  made  eventaally 
nre  as  distributaries  to  perennial  canals,  having  their  heads  at 
iT,  at  Jbirk,  '250  miles  belon  it,  and  at  Kotri. 

f  Jamdii  Canal,  in  Eandeish,  was  commenced  with  an  estimate  of 
00,  and  was  opened  in  1S09. 

!  Krithna  Canal  baa  its  beadworks  at  Karwar,  in  Sattara,  ita 

ate  waa  £38  133  ;  in  1872,  32  milea  of  canal  were  finished,  and 

acres  irrigated,  yielding  a  revenue  of  £955. 

B  AhmaJiiagar   Canal,    estimated  to   coat  £21  941    was    opened 

e  1870. 

^uov«  comprises  the  whole  of  the  oanaU  of  the  Bombay  Preai- 

^Rbformation  about  tfaem  is  very  scarce. 

I    ' 

W^Pllmbaddra  CanaU. — The  principal  headworks  of  these  canals 
b(  of  a  weir  across  the  rocky  bed  of  the  Tumbaddra  at  Sunkesala, 
feet  in  length  of  clear  overfall ;  tho  section  variea,  but  is  every- 
i  8  feet  broad  at  the  top,  the  alternate  stones  of  the  coping  being 
i  thick,  8  feet  long,  and  weighing  each  Ij  tons.  The  mortar  used 
nml  Iconkar,  except  for  the  coping  which  is  in  Pori^land  cement. 
height  varies  from  6  to  26,  averaging  IB  feet;  and  the  highest 
ered  flood  rose  "J  feet  over  the  crest. 

s  main  features  of  the  canal  arc  as  follows : — tho  first  7.1  milea 
;signed  to  carry  3000  cubic  feet  per  second  at  the  head,  and,  alitor 
igwilh  one-fourth  of  this  for  irrigation,  to  convey  the  remainder 
gh  the  Jletakandal  wat«rslied  catting  at  its  other  extremity. 
1 19125  cubic  feet  per  second  can  be  discharged  into  the  Kali, 
37'5  carried  down  the  continuation  of  the  c-anat.  Of  the  1012' 5, 
TO  taken  np  at  a  fresli  offtake  at  Jntnr,  and  .175  at  Kajuli, 
Lg  750  for  irrigation  below  Koddapa. 

)  minimniu  section  of  the  canal  in  the  first  75  miles  lias  a  00-feot 
n^brendth,  with  2  to  1  aide  slopes.     For  the  first  40  miles,  the 


The  Cakals  of  tbe  M&dbas  Presidexct. 


[68] 

611  u  aBaftaH  to  a  nutxiiniim  depih  of  inter  of  8  Teet,  below  t^ 
to  oee  of  9  fcc-i.  Tb«  gndient  of  the  ctuuit  ia  gcmeralif  fttm  ii 
■5  feet  per  mila,  bat  m  one  or  two  de^p  onttiogs  1  -5  feet  Belov 
7&tb  mila,  tiie  natonJ  wittfrcoanes  of  tlie  Kali  aod  tlie  Ei 
becone  tho  main  chuLOel  of  sapply.  The  1st  branch  channel ' 
tlw  tmaal  frou  the  7'Sth  to  the  95Ui  mile  ;  it  b&s  a  head  elniw 
lode  ftt  LoekuMala,  from  which  it  is  mi  irrigating  chaimel  6  bwt 
for  the  fink  4  milcA.  with  k  flow  of  337*5  oabic  feet  per 
Bdow  tint  it  ie  A  still  WAt«T  caoal,  of  a  minimain  depth  of  S 
ud  a  bottom  faN*dth  of  i-ii  fe^,  bariiig  a  bll  of  ISO  feet,  oTerooowl 
1^  7  dooblo  and  b  single  locks,  of  chambers  120  x  20  ;  the  pfkt 
fell  of  »  doabk  lock  being  21,  and  of  a  single  one,  13  (eeL  DiiiiA 
Iwanch  -'»»■""■'  forms  the  canal,  from  the  Jntar  weir  at  the  95tli  mOiv: 
to  the  146th  mile  :  it  is  adapted  for  a  depth  of  6  feet  of  water  down  to 
the  1st  irop  lock  at  the  llSth  mile.  The  weir  is  6  feet  biosd  at  tk 
top,  on  fmaidfttious  of  ^hale ;  it  has  head  slaiece.  scouring  sIdim^ 
uid  Ml  entraiwi'  lock,  with  a  water  cushion  below  the  falL  Irrig^tiao 
ocMM  at  tha  UOth  mile.  From  the  llSth  to  the  146th  miie  the  aid 
consista  of  level  reaches  with  5  feet  depth  of  water,  having  17  locb 
to  overcome  a  &II  of  1S6  feet,  the  maximani  fall  in  an;  single  lock 
being  14  feet.  The  bottom  bn-adth  thronghout  is  SO  feet.  The  H 
branch  channel,  from  the  Rajoli  weir  at  the  1461th  to  the  ISOth  mile, 
baa  also  a  bottom  breadih  of  &0  feet,  and  with  5  feet  of  water  mO  di»- 
charge  375  cubic  feet  per  second.  The  Rajoli  weir  ia  made  of  linw-  , 
atone  rabble.  Mid  bnilt  on  rock ;  its  top  thickness  is  5  feet,  ita  baal 
batters  1  in  2,  and  its  lower  face  is  vertical. 

Across  tiio  Penner  at  Adaiumajapilli  are  the  headworka  and  oBtaki 
of  tJie  projected  continuation  of  the  canal  to  Nellor  ;  the  weir  is  lamij 
fotmded  <m  wells  in  sand  ;  8  miles  of  this  canal  are  open,  and  isfftj 
S7-5  cnbio  feet  per  second  for  irrigadon. 

Tha  Hindri  aqaedact,  carrying  the  canal  90  feet  broad,  and  8  M 
deep,  at  an  elevation  of  32  feet  over  the  Hindri  hj  foorteon  4tL-feel 
vcbes,  is  an  important  work.  No  modoles  are  used  on  these  canals, 
The  ordinary  hnnd  sluices  are  of  two  sizes,  one  5  feet  broad,  and  of 
3-75  feet  lift,  tie  other  1-5  feet  wide,  and  1  foot  hft;  each  is  worked 
by  turning  routtd  a  vertical  screw  that  lifts  a  cross  bead,  to  which  the 
oast-iron  shutter  hangs,  each  turn  of  the  screw  raising  the  shatter 
1  inch  and  being  easily  worked  in  cast-iron  grooves  by  one  nsn 
against  an  average  bead  of  water  of  6  feeb 

The  oost  of  Uie  canal  for  the  first  75  miles  averaged  £8000  a  nak 
ftad  tar  the  rest  of  its  oonrae  £2900  a  mile. 


[69]  > 

X  hiB  'i'uml)ii<iilra  project  wna  first  brought  forward  hy  Col.  Hiiviland ; 
*»»a  ranged  out  by  the  Madras  Irrigation  Company,  baring  been 
kttiimc«cl  QDder  the  auspices  of  Lord  Derby,  and  sanctiouod  in  1861, 
txtitaate  by  Govemnient  officials  amounting  to  one  million  sterling ; 
B  hcadworka  were  opened,  and  water  admitted,  in  18G4;  as  tbe  worka 
aU  not  be  completed  within  the  estimate,  a  loan  of  £lXK)  000  waa 
de  to  the  company  by  the  Govenuent  in  1866,  under  the  condition 
,t  these  works  should  be  completed  in  Jnly,  1871.  They  were 
tnpleted  by  that  date,  216  miles  of  canals  and  377  miles  of  distri- 
iteries,  commanding  91  567  acres,  being  opened.  In  1872—73,  the 
Tta^  commanded  waa  156  570  acres,  being  in  excesa  of  that  neoes- 
xy,  when  taken  up,  to  repay  the  5  per  cent,  interest,  namely  130  000 
,  The  actaal  ncrcagc  irrigated  and  relnma  up  to  the  present  timB 
nad  thns:— 


In  1870-71 

1  478  Bo( 

■es,  yielding   £897 

„  1871-72 

9  980 

3541 

„  1872-73 

9  505 

5020 

.,  lB73-7i 

19  791 

8161 

The  small  acreage  in  1870-71  was  due  to  tbe  damage  to  the  canal 
snoaed  by  nnprecedented  storms  ;  and  for  which  insufficient  escape  bad 
Diwn  provided.  In  1B71  this  was  repaired,  and  the  canal  improved, 
Utd  in  1872  water  was  again  admitted  tliroughout  the  whole  length  of 
Qu  eanal,  to  a  depth  of  from  2  to  5  feet.  In  1873-74  the  canal  carried 
B75  cubic  feet  per  second,  or  .50  000  cubic  yards  per  hour,  having  a  • 
depth  of  4  feet  of  water  throughont. 

The  eventual  irrigating  power  of  this  series  of  canals  is  assumed  to  ,. 
he  limited  to  250  300  acres  of  rice  cultivatioD,  at  a  duty  of  2  euhin 
yards  per  hour  per  acre,  in  places  where  tbe  waste  water  ia  lost,  and 
of  H  where  it  is  again  taken  up  by  the  canal ;  this  is,  however,  on  t 
knppoaition  that  theae  canals  remain  dependent  on  the  rainy  seasoa 
mppliee  of  tbe  Tumbaddra;  should  storage  reservoirs  be  employed, 
at  intended,  to  reader  the  canals  perennial,  this  acreage  may  be 
doebled. 


lit  Qodaveri  Deltaic  Wttri*  were  commenced  in  1847;  the  bead- 
Works  consist  of  a  long  low  dam  at  Daulesbwaram,  the  head  of  the 
dttlta,  where  tbe  river  is  (iOOO  yards  wide,  from  which  channels  are 
teken  olT  for  the  irrigation  of  the  eastern,  central,  and  western  portion 
o(  the  delta.  The  irrigable  portion  of  the  delta  is  2500  square  miles, 
Im  26  per  Dent,  for  waste  land,  or   1  200  000  acres.      The  water 


—  -  ^"iiy^W 

■nilkUc  U  13000  colacfeet  ps  anad  m  te  flood  Muii 
Jah-,  Angnn,   September,  and  Octoho',   b^  3000  m  • 
dsn^^  ibe  Ten  of  the  jnr ;  the  fon^  will,  at  fkt  dn^  id 
u  1  cubic  foot  per  secsond,  ungate  480000  mam  el  nta,  U 
uifaedatTof  ISO  acna,  inigate  380000  Mns  of  m 
two-thinU  of  tlw  deha,  or  MOOOO  ao^  bmj  be  in 
vof^   are  coBi[deted;    at  praacnt  ^w    tot  ~ 
i^^  717  acsca,  or  lev  tbaa  onA-ddid. 

Tlwdam  couina  of  aerefal  portku  of  laaaonir  irok  n 
b«i^i  v'f  12  feet  abore  the  riTer  bed,  trnkn  bj^  Jalaada  a.ii 
ii  'M:i^}i  to  «*.■>  ftet,  and  canoHitod  I7  eartbaa  mbwakm 
IHsIrshwaiam  pomcm  id  4875  leet  long^,  fimded  on  wd 
tiiinewr.  and  son);  6' ;  it  is  I^  tUdk,  «n».--.tn>g  oT  a  oora 
sari  ^iiioeil  br  a  csTtaia  waB  7*  b^  and  4' feet  tbick  ai  tbo  I 
a  gas-'UT  cosma^ardMrf  Ml  ay  hc^  a^  *'**«i*;  tbawu 
of  crk=:ped  stone  is  1^  Inad  and  4'  tbii±,  tba  a|mm  W 
sii^ir^  saooei;  on  ba«b  fhaki  an  nawmj  wine-walk  ai 
Ei,^:*.  oa  ihe  kft  ^auk  a  lock,  bad^lnoea  to  tbe  cbauwl,  aa 
jl-icw  :Vr  sill.  The  Rail:  iwtion  is  2S62  feet  tong,  but  im 
<■:  T.-^fl^  s:.=e.  The  MiJdiir  portion  is  liiS  feet  long; 
Vi  j--*iwi.-»ra  pon:;3  2C-S4  teet  long,  baring  a  lock  and  head 
Ti:»  ij,;:LiE  i=:'n»ji-ecta  a»  7->:o  feet  long,  and  the  length  i 
W4'.".*  ;:."*•■  iixi.  Tic  t*tvuve  height  of  the  dnm  nwy  ij^  i, 
l_v  '2'i  :\>t:  ly  r;caE^  tf  r'.aEks  held  in  the  groorea  of  t 
«aa..*rd».  ■-"■'  *4iit«  arl  10'  apart. 

T-i*  -.rrvjs;:^'E  of  the  «a$Tem  portion  of  the  delta  is  provi 
br  ic-  =;;"«  of  main  '.^^^lisdinal  ehaonel.  4  miles  of  main  tn 
ohai=(l.  r:-  ciilf*  of  Eiain  branehes  bj  Samnlkotta  and  Corii 
a  scries  of  ;ai«Iit-r  iransTene  channels,  making  on  the  who 
!r,;os.ii>d  txti-isions,  i^  miles  of  main  channels,  from  wb 
\  i'.'jtjS-  watorwarees  will  be  sopplied.  The  supply  for  this 
•■  ■'  :b.c  ilrita  will  be  *'<».•  csbic  feet  per  cecond,  or  eoongh  for 
S.-7VS  of  r-Ii-*.  which  is  ihroe-ftiaiths  of  the  coltnrable  area, 

■•l:■.<^  irr-irat-oa  of  the  central  portion  of  the  delta  is  providec 
:rc  R.-i'.'.:  i-har.ivcl  and  irs  iiarsverse  lines,  which  amoant  to  9 
■..:  '.oi;i;;h.  sr.d  other  ch-winol-i  70  miles  more,  in  all  160  mila  ■ 
the  bs^iicl-^s  of  the  Ralj  channel  crosses  a  minor  branch 
Western  OodaTari.  io  the  Gannanm  aqnednct,  which  earn 
csbio  feet  per  At-omd.  and  irrigates  with  fnll  snpply  26000  1 
ri.v  owt  of  a  oatturablc  tiact  of  A>000.  If  this  system  of  cl 
^■j._-.icd  at  itt'.l  s-vfly  ACO  cubic  feel  per  secmid,  tbey  wonld  I 


^^bftto  160000  acrea  of  rice  and  120  000  of  sogar-cane,  oH 
^^^tS80  000,   or    five-seventltB    of  the    cultnrable    area,    352  OOitm 

^^^KinignlloD  of  tbe  western  tract  of  the  delta,  is  provided  for] 
^^^buti  channel  breaking  off  into  a  series,  baving  an  aggregatafl 
^^^Bof  154  wiles,  an  extreme  neatern  cbaiiiiel'  going  to  the  Colairl 
^^^Bth  a  corresponding  not-work  of  cbannels  will  amount  to  lOO  ' 
^^Htheae  main  ctiamii;ls,  with  others  of  various  surts,  will  in  all 
^^Hfc  to  460  milt-B  for  the  western  tract,  and  will  be  capable  of 
^^^Uly  irrigating  2S0  000  acres  ont  of  a  cultnrable  tract  of  about    ^ 

^^^■briginal  estimate  of  Colonel  Cotton  for  these  works,  in  181'3,  J 
^^Hfed  to  £120  000,  and  in  1649  this  amonnt  had  been  spent  andJ 
^^^kn&l  works  half  completed  ;  a  new  estimate  for  £240  000  waa  1 
^^Bopted,  and  in  1S53,  £15UO0O  bad  been  spent.  It  seems  thatl 
^^^b  the  irrigated  acreage  was  127  320,  yielding  £11  351  gross  J 
^^^K  and  in  1664-  was  202  111,  yielding  £12;!  187  gross  income,  1 
^^^■rkjng  expenses  being  about  £26  390,  and  the  net  inconig  1 
^^^V,  OP  about  20  per  cent,  on  a  capital  outlay  np  to  that  time,  of  1 
^^n<70  000.  I 

^^^kreeent  financial  state  is  shown  in  the  tabular  statement.  Of.  I 
^^^kress  of  the  works,  or  of  the  development  of  irrigation  there  is] 
^^^W  satisfactory  account  forthcomiog  ;  it  would  appear,  however,  I 
^^^knarter  of  a  century  bos  been  spent  in  canning  out-  only  one-  1 
^^Hf  the  intended  irrigation  in  a  district  where  the  natives  are  1 
^^Hlcgly  anxious  to  take  up  water,  and  that  the  accounts  ore  still  I 
^^Bd  in  obscurity.  I 

^^BC£«^na  Deltaic  Works,  designed  by  Captain  Orr,  were  begun  in  I 

^H  The  anient  at  the  head  of  the  delta  at  Beswara  is  3750  feet  J 

IK',  S05  feet  broad,  and  has  a  height  21  feet  abore  the  bed  of  I 

M  river,  or  21  feet  above  dry  season  level  of  the  water ;   it   has  I 

nder  sluices  on  the  flanks.     At  this  point  the  river  is  Q  to  6  feet  I 

■ep  in  the  dry  season,  and  30  to  40  feet  in  the  mausnn  season ;  the  1 

rerage  flood  is  2^  and  the  highest  31  feet  above  ordinary  low  water.  I 

n  the  Arj  weatbex,  from  November  to  June,  the  supply  of  the  river  I 

BO  Bioail,  being  principally  due  to  apiirgs  in  the  bed,  that  the  dry-  ■ 

Mson  irrigation  would  be  unimportant ;  in  the  rico  season  the  stream  I 

,  continnoDS,  and  is  20  feet  deep.     The  irrigable  dellaia  area  on  eacli  I 

ink  is  1  250  <}00  acres,  requiring  31  250  cubic  feet  per  second ;  eacli  I 
liuuiij  head  however  provides  only  8800  cubic  feet  per  second  in  tb^l 


Onttieri 


T  GHotnr  Bftnk 


rice  seftsoB,  the   chwinel  having  a  bre&dtli  of  90  trd  of  « 
10  feet  depth  of  water,  and  a  fall  of  one  foot  per  mile.     The  J* 
of  the  channels  are  thus:  — 

LcngUi.      SappI;. 
Uil«.  C,  rtpr.MO. 

Irt  Western  channel 50         1200 

2n(l  Coutral  channel 30  720 

3r<l  Eastern  channel -15         1850 

On  t^c  left,  or  Maealipatam  eido : — 

lit  channel      '"         1500 

2ad  Drog  cbaimel      —  1000 


tol^  with  Rome  otim  a 

i  the  total  snpplf  d 

it  per  second.    The  « 

rat  of  an  acreage  o! 

ince  asenme  that  onlrUin*'! 

The  revennc  in  18! 
t  fi"rt"i^ittl  condition  ia 

of  development  of  irri 
At  present  the  chanoels  m 
to  convey  enongh  supply  fct  I 


It  ftppeare  that  there  are 
mentioned,  290  milea  of  cha; 
rice  seBJton  amounts  to  only 
irrigated  in  1872-73  was  ah- 
pouiblo  with  the  full  snppl 
fifths  of  the  irrigation  is  n< 
£8800,  and  in  1863,  £MQOvi 
in  the  tcibolar  statistics. 

All  records  of  progress  of  works, 
on  these  works,  are  entirely  wanting. 
being  enlnrged  and  widened,  in  order 
the  irrigation  of  430  OOU 

Tht  Fennar  Deltaic  fTorkt  were  commenced  in  1849,  and  openrfia  j 
1855  ;— tliey  consist  of  an  anient  at  the  ferry  at  Nellor  akrat  ISM 
feet  long,  and  the  main  or  Saj-vaipalli  channel  from  it,  with  diatri- 
bntariea  irrigttting  the  right  tract  of  the  delta ;  that  on  the  left  bu^ 
being  high  laud  is  not  irrigable.  The  supply  of  the  Pennor  beiogpTV' 
carious,  tUc  Kellor  and  other  tanks  are  utilized  in  keeping  water  io 
reserve  luid  supplementing  the  chaAncla.  In  18.°>7  the  anicat  n 
breached  for  282  foet ;  and  the  repairs  were  not  completed  until 
1861.  The  acreage  irrigated  in  18(J3  wns  32  87* ;  the  acreage  in 
1872-73  is  stated  to  be  169  073;  but  it  is  probable  that  this  is  » 
mistake,  and  includes  irrigation  not  dependent  on  the  anient,  mon 
wpecinlly  os  tlie  gross  proceeds  for  the  year  amoont  only  to  £89M; 
iee  tabular  financial  results.  It  is  now  proposed  to  enlarge  tha 
channels,  and  further  develop  the  irrigation. 

7%e  Palar  Anieut  and  Worki,  in  Chinglepat  and  ITorth  Arcot,  um 
to  be  in  the  same  6nancial  condition  as  the  Pennar  works  ;  see  tabolir 


moial  results.    There  is  no  official  record 
Initely  anything  about  the  progress  aod  in 


[73] 

ivaiiable  for  ascertaining 
igation  of  these  works. 


Zfte  Poini,  AUiabad,  Cheyar,  and  other  anicats  in  North  Arcot  have 
nr  finantnal  reaalts  giTcn  in  the  table. 

He  Tellar  and  other  anicuta  in  South  Arcot  yield  the  very  high  net 
ofil  of  63  per  cent,  on  a  capital  outlay  of  £52  055,  which  probably  | 
es  not  include  the  whole  cost  of  the  works.     There  ia  ao  ijiforma-  j 
in  about  them  available. 

The  Kalerun  Deltaic  Works  are  an  improvement  and  enlargement  of 
ry  ancient  native  works,  made  under  tho  Telingi  rajahs.  The  grand 
licnt  of  Seringham  wad  in  1804,  when  Tanjor  was  ceded  to  the 
ritiBh,  a  solid  mass  of  rough  stones,  1080  feet  long,  4d'  to  GC  broad, 
kd  15  to  18  feet  bigh  ;  this  gave  irrigation  both  along  the  Kalerun  and 
«  Kaveri,  on  the  former  1 65  000  acres,  on  the  latter  504  900  acres,  or 
»  900  in  all,  which  must  have  utilized,  at  tho  duty  of  40  acres  of  rica 
■Itiv&tion  to  1  cubic  foot  per  second,  at  least  10  747  cubic  feet  per 
Kond  of  supply,  of  which  12  622  were  required  for  the  Kavcri,  and 
125  for  the  Kalerun  irrigation.  In  point  of  fact,  however,  the  total 
olnme  in  December,  1833,  was  16  875  cubic  feet  per  second,  of  which 
Dly  9375  went  along  the  Kaveri,  and  as  much  as  7500  along  the 
^aleran.  To  remedy  this  an  anicut  on  the  Kalerun  was  made  be- 
ween  1834  and  1836  by  Col.  Cotton ;  it  was  2250  feet  long,  and 
'  thick,  it«  height  5-3  to  7*3  feet,  made  of  brick,  capped  with  stone, 
lie  foundations  3'  deep,  built  on  three  lines  of  wells  6'  deep,  and  6* 
1  external  diameter ;  the  apron  21'  broad,  and  1'  thick,  of  stone  in 
ydranlic  cement ;  tliere  were  twenty-two  sluices,  each  2'  wide,  by  3"S 
igh,  to  clear  the  bed  of  silt.  In  the  year  following  its  construction  240 
wt  of  the  dam  were  demolished,  but  were  instantly  repaired.  In  1843 
SditioTtal  sluices  were  made,  giving  a  total  clear  lineal  waterway  of 
30  feet,  but  these  produced  little  good  ;  and  it  became  evident  that  in 
amedying  one  evil,  the  works  were  causing  another,  the  Kaveri  was 
kely  to  suffer  &om  excess  of  water  iu  the  same  way  as  the  Kalerun 
Md  previonsly. 
In  1845,  Cot.  Sim  made  a  regulating  masonry  dam,  1950  feet  long, 
ctaBB  the  head  of  the  Kaveri,  and  lowered  the  Kalerun  dam  for  a. 
engU)  of  700  feet  by  2  feet,  this  put  the  regimen  of  the  Kaveri  ancl^ 
(alemn  perfectly  under  control.  The  Kaveri  channel  is  now  a  channdj 
if  irrigation  only,  it  is  sub-divided  into  small  clmnnels,  and  its  entire' 
rolume  utilized  ;  the  Kalerun  channel,  besides  gi\  ing  iiTigation,  is 


I 


[MJ 

main  dmnage  oluuinel  of  the  delta.  The  tmg&tJon  &om  these  msil 
ia  the  moBt  ootnpletely  dovcloped  possible,  and  the  rotarns  cnarmott 
profitable ;  the  n&vipition,  a  matter  of  verj  inferior  importance 
Bncb  a  oonntrj,  oii  the  contrary,  Buffers  &oni  the  liuus  and  tho  sft 
depoait«d  ahove  tbem  ; — in  fact,  a  lock  on  the  Kalenin  dam  had  tait 
tnmed  into  a  donbk-  sluice. 

The  Lower  Ealtrun  dam  was  mode  ia  1837,  over  the  Kslenio,  at  70. 
miles  below  Seritii^iiiiiii,  the  head  uf  the  delta,  nitb  tlie  followkj^ 
object.  At  that  time  the  Upper  Kulerun  dam  had  forced  bo  maJi 
water  into  the  Kaveri,  that  the  vr  tlir  Kiderun  vrtu  much  low- 

ered, and  a  large  amount  of  land  vwix  uat  of  water  coramaiiii 

the  object  therefore  was  to  raise  r  in  the  Kaleruu,  and  recow 

the  command  of  it.     The  loi  Lower  ICaJerun  dam  ia  1900 

feet;  its  section  conHiats  of  1  wells,  6  feet  deep,  having ■ 

sand  core    3'  X  4'  i»  the  n  kI  ocer,  with  4  feet  of  st^ 

masonry  above  thorn  for  l.ho  fo  and  a  body  wall  above  7i  feet 

high :  when  tiie  w.it«r  lovul  re  e  top  of  the  anient,  the  dqith  jj 

of  water  in  &oat  is  7}  feet ;  ii  ider  sluices,  giving  69  ihiai 

feet  of  waterway,  imd  an  tipnm  m  rear  24'  broad,  and  3'  thick.  The 
channel  head  above  this  dam  takes  off  water  for  the  irrigation  of  s 
district,  eight  milea  below,  in  South  Arcot :  and  hence,  though  ll« 
principal  object  of  this  lower  dam  was  not  attained  by  it,  it  lias  fe( 
effected  a  useful  purpose.  In  18G3  and  ISt'^  three  very  serious  breacliei 
were  made  in  this  anient,  the  water  leaking  through,  and  probaU; 
also,  under  the  wt'Us,  which  seem  to  have  been  can-ied  to  abont  half 
the  depth  necessaty  in  such  a  situation,  and  were  unprotected  by  soy 
retaining  wall  or  apron  in  front :  it  appears  that  in  these  cases  the 
irregularity  of  the  bed  caused  the  current  fo  impinge  and  conoentnts 
its  effects  on  the  portions  of  dam  that  gnve  way. 

The  acreage  irrigated  has  been  materially  increased,  as  well  as  saitd 
from  ruin  by  the  former  works:  before  I83G  it  was  670  000;  in  1S50, 
71C  524  ;  and  in  1872-73,  748  673.  The  increase  of  prodnce  effected 
by  irrigation  in  tliese  districts  varies  from  ono-6flh  to  one-eighth  tliB 
gross  produce  of  rice,  or  five  to  seven  bushels  of  unhusked  rice  (pacB) 
per  acre.  The  Govemmeat  revenue  in  wliich  the  water  rate  is  merged 
is  two-fifths  the  gross  produce,  and  varies  in  value  from  nine  shilliogi 
in  Tanjor  to  twelie  in  Trichinojioly,  and  fourteen  and  siipenM  in 
South  Arcot,  haviinr  an  nvei-ngc  over  the  whole  of  the  districts  of  twelfS 
shillings.  The  increase  of  annual  revenue  due  to  the  works  would,  there- 
fore, on  78  000  acres  amount  to  about  £t7  000,  while  the  Oovemmest 
returns  for  1872-73  show  a  grcws  return  of  £110  243;  see  tabular  etttif- 


C7S] 

It  iii  probable,  therefore,  tbat  a  large  portion  of  this  latter  soia  is, 

'  ■  vBpeakiDg,  dtie  to  the  works  of  the  Teiingi  rajahs,  conatrncted 

Col.  Sim  pnt  the  regimen  of  the  rivers  under  control.      If  thia 

•.iise,  the  percentjigti  of  net  pro&t  due  to  the  Britigb  works  mnst 

i  Ljoed  from  128  to  51  per  cent,  on  the  assumed  capital  outlay  of 

'  1 1.     With  reference  to  thia  latter  sum,    it  appears  merely  to 

liiile  the  cost  of  the  three  dams  aad  headworks,  and  their  recoa- 

a  and  alterations  from  183t3  to  1850;  if,  however,  we  place  to 

Tip  capital  account  the  cost  of  uhannels  and  irrigation  works  depend- 

■  I!  those  dams,  which  seems  according  to  some  accounts  to  amount 

.  '1  h74   on  original  works  exclusive  of  repairs,  this  raises    the 

1^.1  acconnt  to  £172  1^88,  and  lowers  the  net  profit  to  the  more 

m>M>nable  percenta^  of  24. 

Apart,  however,  from  the  matter  of  returns,  both  of  finance,  of  irri- 
ption,  and  of  works,  in  which  it  is  hoped  the  Madras  Presidency  ia 
■wmmencing  a  new  era,  it  is  an  undoubted  fact  that  the  complete  oon- 
*rol  and  utilisation  of  so  large  a  river  as  the  Kaveri,  at  so  early  a  date 
M»  ISlfl,  within  ten  years  after  the  original  commencement  of  tha 
lesteration  of  the  works,  are  results  not  known  to  be  achieved  on 
•Of  other  irrigation  works  in  the  world  np  to  the  present  time.  They 
niatvt  lasting  honour  on  the  names  of  Colonels  Sim  and  Cotton, 


'"  f  Anieutt  of  Madura. — The  Snnili,  the  principal  tributary  of 
\"aiga,  joining  it  after  a  course  of  36  milea  from  Oadalur,  is 
entirely  atilized  in  the  irrigation  of  the  Kambam  valley;  there  are 
■en  anicnta  across  it,  with  channels  and  tanks  ;  the  first  is  situated  at 
fcilf  a  mile  from  Gudalnr,  whence  a  canal  on  the  left  bank  irrigates 
rice  lands  for  5^  miles,  and  eventually  falls  into  the  Kambam  tank: 
tile  others  irrigate  a  nairow  strip  of  rice  cultivation  on  each  bank 
Ja  the  lower  part  of  the  Kambam  valley.  On  the  Vaiga  itself  are  two 
BUsonTy  anicDts,  the  Pernni  and  the  Ohitnni,  situated  '2'2  and  18  miles 
(wpeclively  above  the  city  of  Uadnra,  which  are  said  to  have  been 
built  by  two  favourite  dancing  girls,  favourites  of  one  of  the  Nailc 
kings  of  Madura  :  the  channels  from  them  are  in  bad  order.  Below 
the  Chitani  there  are  no  dams,  the  slope  of  the  groond  allowing 
tliaanels  to  be  taken  ofl'  without  the  aid  of  anicuts.  The  supply  of 
iw  Yajga  is  so  deficient  in  its  lower  parts,  in  the  Kamnad,  that  any 
jTigation  from  it  is  only  on  a  very  small  scale. 

The  supply  of  tbo  river  Gundu  is  very  small,  the  local  r^nfaU 
b«ing  only  18  int-hea  yearly  ;  on  it,  cast  of  the  town  of  Kamndi, 
L^ailae  Icoiu  tko  sou,  is  an  auicat  largo  dtim,  made  of  loosely  built 


[76] 

■tone  ;  ft  chnnnel  from  it  tAkca  its  water  to  the  Kallari  lake, 
river  Yaipar  are  seveml  stone  aoiciita,  and  on  its  tribatvies  a 
Btorage  banks  ;  the  amoiiat  of  imgation  effected  from  theae  two  h 
riven  is  unkiio'nrn. 

Tie  Anieuit  of  the  Tambrapumi. — There  are  Beven  anicnts  on 
river.     The  first  ia  the  Tlialay  anient,  juat  below  the  falls  of 
Msam,  it  is  renewed  annually  with  stakes  and  brnebwood;  it  baa  tm 
ohanoelB,  one  10  miles  long  on  the  north  bank,  and  one  €  miles  long  m 
'  the  Bonth,  each  ending  in  a  ts    '       ""'        oond  is  the  Nathiasi  anient, 
6  miles  bolow  the  former,  it  ooient  strnctore,  consistii^ 

of  I&Fge  blocks  of  atona   pla  ly  across  tbe  rirer,  and  ii 

468  feet  long  j  only  one  cha  rom  it,  for  12  miles  oo  the 

north  bank,  which  irrigates  ielding  a  revenue  of  £1297. 

The  third  is  the  great  Ka  it,  built  of  eat  stone,  it  ii 

d  feet  hi^h,  and  has  a  top  v  ;  it  has  alao  a  large  rongb 

i^ron  varying  from  05  to  idth  ;  the  anient  is  dinded  I 

into  two  pieceH  by  a  rocky  aanol  trom  it  on  the  sooth  J 

side  is  22  miles  long,  irrigi.  es,  and  yields  a  revenue  flf  % 

dE17  981;  the  Kannadien  channel  Hows  throngh  the  town  of  Semn-  , 
liahadevi,  H  miloa  west  of  Tennevolli.  The  fourth  is  the  Kodag«a  ', 
anient,  six  miles  below  the  last,  it  is  2287  feet  long,  of  cut  stooa  I 
roughly  put  together ;  it  haa  one  channel  from  it  on  the  north  sub  h 
10  miles  long,  irrigating  5+33  acres,  and  yielding  £til06  of  revenne.  ! 
The  fifth  is  the  Palavnr  anient,  2  miles  east  of  the  town  of  Serun- 
Uahadevi,  it  is  2532  feet  long,  its    channel  on  the  south  aide  is 

26  miles  long,  supplies  bi  tanks,  and  terminates  near  Palamcotfa,  and 
irrigates  2865  acres,  yielding  iSitJS.  At  a  mile  and  a  half  below  the 
Palavnr  is  the  sixth  or  Sutamelli  anient,  2  miles  east  of  the  town  of 
Semn-Mahadevi,  divided  by  a  rock  into  two  portions,  it«  channel  on 
the  north  aide  is  14  miles  long,  anpplying  two  distributaries,  passing 
through  the  town  of  Tinnevelli,  which  irrigate  1806  acres,  yieldiog 
£3299  of  revenue. 

The  seventh  anient,  18  miles  below  the  last,  is  the  Murdnr  anient, 

27  miles  fi-om  the  sea  j  it  is  of  horseshoe  shape,  4028  feet  long,  and 
supplies  a  channel  on  either  side ;  its  escape  weir  is  of  beantifnlly  cat 
stone  work.  Its  channels  run  in  and  out  of  several  large  tanks,  Md 
irrigate  U  4O0  acres,  yielding  a  revenue  of  £17  700.  Below  lhi» 
anient  ore  four  channels,  irrigating  42S0  acres,  and  yielding  £-i'?BO  of 
revenue. 

The   total   amount  oi  iiTiga\.\aa.  e&^i^^i^  \t j   \Iai»ii  ■a»!ijvi%-«<iiu'« 


'    "  ''-^  ncrps,  fielding  £56  828  i  the  repairs  only  coBt  IJ  per  cent,  on 

'  It  English  Anient  at  Strivigautam,  12  miles  below  Mnrdur,  will 

.  i-iy  long,  fi'  high,  and  7^'  broad,  founded  on  wells ;  it  will  in-igate 

lAl  acrea  on  tbo  oortb  and  16  OUO  on  the  sooth  bank,  and  supply 

-    .  iL-orin  with  water  ;  it  was  coninienctnl  in  1869,  on  an  estimate  of 

»:S3160[  in  1873  £76  878  had  been  spent  on  conBtrnotion ;  it  is,  there- 

Bbre,  probably  nearly  completed  now. 

The  estimated  amount  ol'  water  from  this  river  that  ia  utilized  for 
Strigation  is  given  in  th«  brief  account  of  the  river  Tajabrapumi, 
-I«ge[26]. 

The  Anicl'ts  and  Channels  of  Maisdr. 

General  deteription  of  Work*. — The  ordinary  atone  dam  or  anient  in 

Uaisnr  varies  from  7  to  25  feet  in  height,  it  consists  of  a  mass  of  dry 

n^ble,  faced  with  large  atones,  placed  on  a  rocky  site;  the   front 

easing  of  stones  3^^'  x  Ij'  x  1';  the  rear  aprons  of  large  atone  blocks 

V  X  3i'  X  2',  each  atone  projecting  for  one-third  of  its  length  beyond 

that  above  it,  or  about  2^';  the  interstices  are  filled  with  small  rubble  ; 

these  worka  are  unstable  and  leaky,  allowing  all  the  aummer  discharge 

to  esc&pe,  and  only  supplying  the  channels  in  season  of  flood,  when 

again  they  arc  easily  damaged  and  breached  ;  the  dams  are  curved  and 

point  up  stream,  having  a  length  about  double  the  width  of  the  river, 

ilu"  crown  is  lower  near  the  head-sluices  to  relieve  the  pressure  against 

■1  in  flood.     The  bead  aluices  consist  of  rough  stone  uprights,  4  or 

t  apart  with  stone  caps  over  them  ;  the  openings  being  stopped 

lib  brushwood  or  earth  filling;  they  are  very  inefficient  during  floodH, 

which  frefjuently  enter  uncontrolled  and  make  breaches. 

The  citannels  are  rough  trenches  generally  following  the  undulation 
of  the  country,  and  very  badly  levelled  and  set  ont ;  the  irrigation 
water  is  taken  direct  from  them  through  cute  made  in  their  baidcs,  the 
escapes  for  aurplos  water  are  made  in  the  same  way ;  the  channels 
loffer  much  from  silt  brought  down  by  cross  drainage,  also  from  breach- 
iug  by  the  same  canae ;  although  there  are  rough  atone  silt  dams  as 
fell  as  Bobdly  conatrncted  outlets  at  low  levels  for  holding  up  and 
aconring  ont  the  silt  from  the  channels. 

SetuU: — The  financial  reaulta.  aa  shown  in  the  tabular  atatiatios, 
^ipear  meagre  in  the  extreme  ;  the  causes  being  that  not  half  the 
hrignted  land  is  aasessed,  and  that  the  irrigation  water  is  surrcpti- 
ttoDsly  taken.  It  appears  that  if  all  the  irrigation  were  paid  for,  the 
.tsakM  of  the  Maisur  diviuioa  would  yield  &Q&d(l(l,  wa&.  ^Conub  (i\  '^^k. 


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[86] 


J><ita  iif  Ihe  XainrHntk  SgHeti 


MaI&I'B  ElVEO  SlBtEK. 

riYenwi 

thairnS 
taU. 

I.  Kistiid  Riror  .. 

UUci. 
6U 

n.  Pakr 

47 

III.  Pennet 

107 

IV.  Pennar 

3 

V.  Kavori 

t^ 

VJ.  Weatoni     Const 

overs 

] 

TdUU   tor   Haimr    and 

DeJact  for  Cnrg    . 
Tolsl  [or  Mumr  otilj    . 


Amoont  of 

tank*. 

Total ««, 

W.     1 

S<l.  nilea 
4814 

8q.  mUM 
6  217 

lic^i 

1036 

1036 

1040 

2280 

1319 

1441 

5  760 

1S81   1 

16287 

2»UM 

1795 

1795 

10  982 

16  287 

27  269 

Data  of  the  Maitnr  Tank  Syttem—continueJ. 


MilauB  TAirr  SlWKH. 

Uncier  wst 
nnil  E!>rJ<n 
riltivatioD. 

on  repnir* 
other  tbu 

tb(  ABUeram 
ehuitiftg. 

kmmt 

From  1837-38  to  1841-42     ... 

Acres. 
1  705  1-50 

£ 

47  018 

t 

9401 

I'l-om  1842-^  to  184(5-47     ... 

1 849  759 

43  225 

8615 

From  18t7-i8  to  1851-52     ... 

2087  929 

68  64* 

11729 

From  1852-53  to  1856-57     ... 

2160  309 

70  021 

14004 

From  1857-58  to  18G1-62      ... 

2  1G9  040 

80  762 

16152 

25  years' total  outlay 

2lt9  670 

11987 

25  years  on  channel  repairs  ... 

57S37 

2  SOI 

^5  years  ou  tanks  only 

242133 

•!»(J8S 

[87] 


Brief  Accounts  of  Indian  Reservoirs. 

Itf  Delhi  and  Ourgaon  Irrigation  Works, — These  works,  consisting 
iJces  and  reservoirs,  have  for  their  object  the  irrigation .  of  the 
ikrj  south  of  Delhi,  and  in  the  Gorgaon  and  Bohtnk  districts,  a 
it  deal  of  which  is  broken  by  small  ranges  of  low  hills.    Attention 

directed  to  these  districts  by  the  fearful  famine  of  1860,  and  the 
emment  of  the  Panjab  then  ordered  that  works  should  be  com- 
oed  to  relieve  the  fearful  destitution  and  starvation  then  existing ; 
country  was  therefoi*e  examined,  and  surveys  and  designs  made  by 

L.  D'A.  Jackson,  then  assistant  engineer  in  sole  charge,  for  the 
itraction  of  storage  reservoirs  in  the  Gurgaon  and  neighbouring 
riots.  The  larger  reservoirs  and  artificial  lakes  in  tlie  Delhi  dis- 
be,  originally  constructed  by  the  Mughal  emperors,  Akbar,  Firoz 
li,  Aurang  Shah,  and  Firoz  Toghlak,  have  been  reconstructed  and 
awed  since  British  occupation, 
'he  natural  basins  are : — 

•  The  Najafgarh  Jhil,  filled  by  the  Sahiba  and  its  affluents. 
I.  The  combined  Kotila,  Chandni,  Malab,  and  Rajira  Jhils. 
^hese  collect  the  drainage  of  the  surrounding  countiy,  and  saturate 

land  submerged ;  the  water  is  then  drawn  off  by  escape  channels, 
I  the  beds  of  the  jhils  are  cultivated.  The  superintendence  of 
se  works  was  originally  under  Mr.  Batty. 

the  artificial  reservoirs,  twenty-four  in  number,  are  formed  by 
banking  natural  ravines,  or  outfalls  of  natural  lines  of  drainage; 
sy  have  weirs  .and  escape  channels  ;  irrigation  is  thus  given  to  the 
ids  above  the  embankment,  which  are  cultivated  after  submersion, 
id  to  lands  below  by  means  of  the  supply  given  through  the 
lannels.     The  names  of  these  reservoirs  are  :— 


In  the  Delhi  District, 

1.  Tilpat. 

2.  Palara. 

3.  Yahia  Nagar. 

4.  Chattarpur. 
«>.  Khirki. 

C*  Naryanah. 

7.  Toghlakabad,  No.  1. 

^'  Toghlakabad,  No.  2. 

^-  Bijwasan. 

^'  Aurangpur. 

!•  Ambarheri. 

2.  Badli. 


In  the  Ourgaon  District. 

1.  Tharsa. 

2.  Gwalpahari. 

3.  Ghatta. 

4.  Pattri  ICatal. 

5.  Kala. 

G.  Raisinah. 

7.  Bar  Gujar. 

8.  Dahina. 

9.  Nand  Rampur  Bas. 

10.  Bahari. 

11.  Jhand  Sarai. 
12    Garhi  Harsaru. 
13.  Banarsi. 


Both  thejhils  and  the  stomgc  reservoira  an 
thoir  snpply  on  the  ftimnal  minfal],  and  mBay  of  tbem  bein^fhtlfe 
tlio  loss  from  evnporatiL>n  is  verj  great :  unfortanately  also,  aevml 
tlio  reservoirs  eotiKlract^d  in  uid  nLortlj  after  IBtU  nere  ycijU 
live,  bolli  iu  level  and  in  alignmeut,  their  execution  baving  It 
eiitruHtod  to  native  clerks  of  tUo  colieottire'  law  courts. 

Even  nnder  these  extreme  difUidvimtaKeSi  the  works  piud  is  UiS- 
ai  much  as  10^  pur  cout.,  nltliongh  the  water  rate  was  ivna 
only  two  yciiirs  before.  Of  the  total  ocreajfc  irrigated  id  ISIJ-i 
Iu  919  acreB  were  under  ree  qnartera  of  which  w«rc  »hi 

and  li}8  acres  in  grass;  ta  being  supplied  bylhercMnn 

aitd    8421   acres   by  the  hils.     The    estimated  vnlmi  ■}( 

crops  of  the  year  waa  cspective  of  the  plantations,  bI 

lit  present  consist  of  I4 


Tke  Bandalkand  I>- 

it  consist  of  five  lakes  mi  n 

voira  in  the  Ha 

nirpn. . 

in  the   Jhansi,  districts ;  ihej 

iinrortcinately  remained 

control  of  the  tax  collectors, 

little  ia  kiion-u  u 

r  the   n 

rreci  „.... 

ant  of  land   irrigated   by  the 

certain  amonnt 

a  irrigated  free  of 

water  rate,  althongh  an  incn 

land  rate  is  levied  on  it. 

The  nam 

ea  of  the  tanks  and  Ukes  are: 

MilHnf 

VOaot 

Dtdtrt- 

Aent 

Dtetrt- 

butarie.. 

iTTlgited. 

liuUilM.In 

In  JAanti. 

Kucha  Bhawar  . 

.       3t 

7 

Thannah     5 

Bama  Sagar      . 

.      6i 

260 

Tikaman     1 

Knchni       ...     . 

.    16 

164 

Paswaratank    

Pachwura   ...     . 

.   11 

10 

Kirat  Sagar       ...         j 



Total  . 

.     39 

441 

KallUn  Sagar   ...         i 

Bijanagar  tank 

Phnlbagh   ....        2 

In  Hamirpur 

Belft  Tal  tank    

Bejanagar,  three 

7 

176 



Desrapnr,  fonr  . 

.       2 

254 

Total  ...     19i 

The  former  works  irrigate  the  land  of  thirteen  villages,  the 
that  of  EJxty-one  j  about  three-quarters  of  the  crops  grown  are  a 
inclading  rice  and  one-fifth  sugar-cane.  Some  approsimate  fin 
results  of  these  works  will  be  found  in  the  tabular  statistica.  It 
contemplation  to  increase  the  irrigation  from  these  works  to  i 


[831 

i  Affra  Irri^ttHon  Work$. — Tliesc  worke  consisted  maiuly  of  the 
ihpnr  Sikri  Biksin,  and  its  cliniitieli)  tlie  Kbairagurh  and  Bai-kol, 
were  supplied  with  water  by  the  Utangant  torrent.  TLe  latter 
I  Jaipur,  flows  through  Bhartpur,  and  enters  the  Ag^a  district 
1  miles  east  of  Fattahpur  Sikri.  The  revenue  derived  was  not 
V  frojh  the  water  that  passed  ijito  the  channels  from  the  overSow 
I  Utangan,  but  from  the  cultiyation  of  a  portion  of  the  area  of 
a  itself.  The  irrigation  from  these  works  being  very  irregular, 
objectioDs  having  been  rased  against  them  on  sanitary  grounds, 
e  works  instead  of  being  improved,  were  abandoned  in  1865,  At 
■hat  time  the  capital  outlay  had  amounted  to  £22  312,  and  the  total 
lirect  income  was  £11  077,  independently  of  increased  land  r 
•hich  probably  amounted  to  aa  much  more  ;  the  yearly  direct  inc 
^Hn'ed  between  £100  and  £1*.'0,  the  working  eipenses  from  £600  to 
SI200.  It  would  appear  therefore  that,  as  also  in  the  more  recent 
aee  of  the  Agra  canal,  irrigation  from  which  is  not  to  be  allowed 
vitbin  S  miles  of  Agra,  there  are  some  traditions  of  local  magiatrat«B 

tXaz  collectors  that  are  opposed  to  irrigation, 
le  Sajputana  Irrigation  Workt  in  Mhairwara  and  Ajmir  consist  of 
i  iHunber  of  reservoirs,  or  tanks,  having  banks  generally  of  earth, 
hongh  in  many  cases  pitched  or  faced  with  rubble,  and  having  masonry 
reirs  and  escapes  :  they  were  made  or  reconstructed  under  the  orders 
if  Colonel  Dixon,  the  political  agent,  and  had  the  beneficial  effect  of 
lOttting  the  rather  troublesome  population  of  those  districts,  and 
ncreasing  it  from  39  058  in  18S5  to  130  282  in  1845;  the  cost  on 
iriginal  works  being  according  to  old  accounts  only  £24  111,  from 
[8:J5  to  1846,  and  resulting  in  an  increase  of  annual  revenue  of 
in  300  in  addition  to  £9«80  obtained  annually  till  then.  The 
'ollovring  are  data  of  these  works  according  to  old  acconnls  : — 

Tink.  BurfiM,      Content!,      \^^  Tsnlt.  B'lrfuce.     CcntantiL      ^Jj;"**- 

Acnri.     Cub,  Y.r,l».     Ac™. 

Lnsani    ...  27»  5  014400  273 

Loharwai-a  161  3900000  ,.. 

Eabra     ...  182  4  302  222  204 

l^alikankar  182  3  099  090  437 

Dorathu...  167  4  701660  ...     ^ 

Btreme  depths  varying  from  15  to  28  feet. 

I  1867  these  works  were  examined  by  an  officer  of  considcral 
■iperteiicc,  f'aplain  K.  .1.  Home,  R,E,,  awl  tUu  (w:e<ia.ftW 


Cub.  VMd., 

Ac™. 

S«ni«gir 

109 

2  834(188 

Tarwajft .. 

.  218 

387  200 

364 

Rnpana  .. 

.     25 

,',24  080 

36 

Gobana  .. 

.     3.1 

2  684  586 

250 

i 


C»1 

their  financial  reanlts,  vrhicli  wore  then  conwdereil 
entirely  it^djaatcd ;  it  is  from  his  report  tliereforc  that  t 
of  flufcTicial  rcaulls  given  in  the  tahalitr  Gtatistics  bus  heci 
In  ooiiaequenoe  of  the  nnmber  of  tanks,  nine  varying  bo  conaidemUy 
from  Ihat  for  which  the  more  recent  rctnnia  are  given,  namely,  sii, 
it  is  impossible  to  institute  a.  perfect  comiHiriaon  between  the  two  tela 
of  returns ;  bnt  it  is  perfectly  evident  that  the  gross  return  of  4"  per 
eent ,  shown  by  the  older  returns,  may  hf  gcnenilly  correct.  It  appean 
also,  according  to  other  aocoi  '  ''  Tie  total  nnmber  of  taoks in 
HhuFwiiTft  must  be  consiJe  J  covor  a  total  area  of  Sl^'i 

acres,  unil  irrigate  14  >J26  ar 

■   In  thu  other  8tat«a  of  Ilajf  idor  native  mlers,  there  baye 

donbtlens  bi>en  a  largo  numb  in  fact,  the  strong  sffiiii^  o! 

laos  between  the  Seljatdan  tfaisnr  and  Rajpntann wcnU 

lead  ono  to  believe  that  tl  i  been  a  strong  similari^  in 

condition  of  the  two  conn  r  le  still  covered  with  tanls, 

and  it  is  hence  probu.blo  thai  as  also  as  mnch  develupcdin 

this  i-cspect  as  its  physician  .  Jid  limited  rain&ll  allowed.    I 

InUduipur  there  are  still  one  or  two  magnificent  lnkoa,and  ic  Slanvar, 
Jaipur,  and  Bliartpur,  there  are  traces  and  ruins  of  large  reservoiis, 
in  BOmc  cases  nearly  obliterated  hy  drift  sand :  the  primary  cause  of 
the  decay  of  these  states  was  doubtless  their  proximity  to  the  seat  o; 
govemnient  of  the  Mughal  emporora,  who  plandered  and  devastated 
them;  and  it  would  at  first  sight  appear  surprising  that  nnder  Britith 
anzerainty  they  have  not  recovered  and  rcconstmcted  their  large  and  I 
nnmerosd  refiorvoirn  of  irrigation.  The  causes  are  prolmbly  these: 
these  states  do  not  jot  possess  the  coniidcnce  of  the  British  capitalist; 
&ud  hence,  in  order  to  carry  out  eilcnsivo  works,  they  would  have  to  | 
borrow  from  native  bankers  at  an  interest  of  10  or  12  per  cent.,  | 
while  the  works  under  good  management  would  probably  evontaallj' 
oidy  pay  1?,  and  in  a  partially  developed  state  only  !)  per  cent. :  in  thfl 
second  place,  in  order  to  design  and  esocut*  the  works  really  well,  they 
wonld  require  the  services  of  skilled  civil  engineers.  On  this  lattw 
9oint,  difEculties  arc  thrown  in  the  way  by  British  officialism.  I" 
onner  times,  Englishmen  and  Europeans  were  prevented  from  entering 
into  the  service  of  native  priuecs  from  fear  of  (heir  using  ilicir  skill  in 
assisting  in  military  operations  and  rebellion  i^ainst  the  British  Oi> 
Tcmment :  at  present,  although  this  fear  can  hardly  be  said  to  exist,  the 
tradition  still  remains  in  the  minds  of  the  British  political  agents,  msny 
of  whom  prevent  the  native  princes  from  engaging  the  servioM  o( 
iadcpcnilent  Englishmen,  ^nA  W  x«m«i«\ti^  m  fti\t  t^ldiahly  wesk 


[91]- 

i  an  elective  bar  to  the  development  of  tigiicnlturo, 
jntljr  to  the  mntcrial  progress  of  native  Btates. 

inht  nj  the  Bombay  Presiilenei/  are  comparatively  very  few, 

f  little  infonnation  about  theu  available.    In  the  district 
1  tLe  Nnrbada  valley,  is  the  lake  of  La<^lima,  a  tank  three  mill 
pmrerence ; — this  with  105  other  tanks  have  been  restored  si 
ptisli  Dccitpation      The  Chnli  tank  on  the  Chuli  ra?ine,  and 
^hwBT  tank    an  the  Chapra,   both  in  the  Narbada  territory, 
^lored  in  1.846  by  Captain  Trench.      In  Gnjrat  a  reservoir  pro- 
I  connection  with  the  Tapti,  intended  to  irrignt-e  194000  acres,  is 
Jt  C&rricd  out.   In  Kandeish  a  storage  reservoir. in  the  Grima  valley, 
i]  the  Mukti  reservoir,  near  Dhulia,  are  being  constrncted :  the  latter 
B  a  catchment  basin  of  50  square  miles,  which  with  a  rainfall  of  16^ 
thes,  will  collect  477  millions  of  cubic  feet,  of  which  the  tank  wE 
Id  about  34<i  rflillions.     The  Hartola  tank  in  the  same  district  : 
arly  completed.     In  Dharwar,  the  MadJak  tank  has  recently  bee 
i.-lracted;  and  some  storage  works  in  the  valley  of  the  Yerla, 
■  y^aryof  the  Krishna,  are  being  made.     The  Kkrnk  tank  on  th 
:  il.-i,  n  tributary  of  the  Bhima,  in  the  ncighlmurhood  of  Sholapur,  wi 
implotcd  in  1S69,  and  supplied  water  for  irrigation  in  1871.     Tl 
ttowing  are  the  data  of  the  original  project,  which  was  carried  oi 
r  F.  D.  Campbell,  Esq.,  C.E.:— 
''riiclimeiit   area  141    square  miles,   minimum   annual  rainfall   1 

Fkiod  discharge  of  Adila  river  37  000  cubic  feet  per  second. 
^BADod  lastdng  five  days  gives  11  OoO  cubic  feet  per  second. 
^B  of  Adila  river  7  feet  per  mile,  or  1  in  754. 
Whg.  of  reservoir  (ij  square  miles,  maximum  depth  CO  feet. 

Contents  of  reservoir  21i22   millions   cubic  feet  =  tij  inches  oti 
fttohmcnt  area. 

Calculated  maximum  velocity  over  waste  weir  10  feet  per  secoiii 

Waste  weu-  discharge  250    x    5    x    10  =  12  500    cubic  feet  p 
Kond. 

Total  length  of  dam  7200  feet,  inclnding  2730  feet  masonry. 

itaiimuni  height  of  earthwork  72  feet,  or  7  feet  above  flood  lino. 

Height  of  masonry  3  feet  alwvo  highest  flood,  exclusive  of  3  feet 
•rapet  above. 

Ernporntion   of  "  feet  deep  during  eight  months  ^  750  millioi 
llkic  fret. 
ifcatiUacd  residue  in  botloni  of  tank  20  milUons  cubic  tcct, 


CM] 

It  hae  three  oanala  of  diBcliarge. 

i.  The  lowest,  pereunial,  '2B  miles  long;  ita  Iiead  is  20  Teet  «li 
the  level  of  the  bottom  of  the  tank,  having  a  discharge  of  ■H  cubic  I 
per  eeconi],  an  area  irrigttble  from  it  of  2S  square  milea, 
912  millions  trabic  feet. 

ii.  The  next  for  a  four  inontlia' 
diechar^  of  42  cnbic  feet  per  eec 
21  sqnaro  milcH,  4  nonllis,  435  milli 


mpplj,  18  miles  long,  ia^Bg 
□nd,  an  area  irrigable  fram  it 
ons  cnlnc  feet. 


iii.  The  ne«t  for  a    four ""■'  sapply,  4  miles-  long,  hariiig- 


dischai^e  of  21  cnbic  fe«t 
10  Bqaai-e  mites,  4  montljH, 
one  4  rannthB"  channel  will 

The  duty  of  water  for  r 
per  aecond,  and  that  for  all 

Acreage  nador  comraanti 

The  Water  rat«  for  pert 
crops  8b. 

The  Calculated  coat  of  t. 


id,  an  area  irrignble  from  it 
>nB  cubic  feet.  The  disofaarge 
iisated  b;  the  mansun  sapplj. 
a  fixed  at  96  acres  per  cafain  ft 

!ther  at  150. 

I  is  I6a.,  and  that  for  one  Ml 
i  ilOO  937,  inclndiog  15  p 


cent,  fop  eHtiiblishment;  the  probable  gross  revenue  will  be  cvenloallj 
fill  820,  and  till!  cost  of  maiutenance  £232-3,  at  3  [ler  cent,  on  the  out 
lay;  this  will  yield  a  net  revenue  of  £il491,  or  ','  per  cent,  on  tbi 
capital  expended. 


Tia  Tanks  of  Ilai^arabad  are  extremely  numerons,  tbe  whole  of  tin 
eastern  portion  of  this  state,  which  consists  of  black  cotton  soil,  ii 
thickly  studded  witli  tliem.  They  are  all  of  the  Madras  tj-pe,  BimiW 
to  those  of  the  ncigbbooring  districts  of  Kamul  and  Ballari,  wA 
are  believed  to  be  in  a  very  bad  Elat«  of  repair.  There  are  aluoi 
few  large  artifieitd  lakes,  aB,  for  instance,  the  Hosen  Sagar  nat 
Sikandnmbad,  and  traces  of  others,  that  at  one  time  must  hnie 
supplied  a  largo  amount  of  irrigation.  There  is  unfortunately  no  illfo^ 
mation  avuilable  as  to  their  number  or  effective  power,  HaidarabeJ 
being  an  independent  state  extremely  jealous  of  external  interfercnca 
Latterly,  however,  the  Nizam  has  engaged  the  scrvict-s  of  two  M 
three  Eriglish  civil  engineers,  and  it  is  hence  very  probable  that  111 
has  also  commenced  the  rcpiur  and  reL-onstmction  of  those  tanks,  vvi. 
the  view  of  redeveloping  the  irrigation  of  hta  province. 


The  Trmkt  of  the  Central  Frovinees  and  Berar  ar«  like  those  o 
Bombay,  comparatively  few  anil  generally  of  small  size  ;  the  Kanhai 
reservoir  jiroieet,  whicl^  u\vnV\cs  n,&\ot!n^CTcwKNo\i;<wvering  41  sqnar 


K  VUiTih  cunnl  14S  mites  long,  aud  minor  chtinnela  of  400  milue 

»  nggregnte,  is  tttill  not  commenced,     lu  Bcrar,  a  fertile  cotton 

■  province  that  would  g'ain  cnorniouBly  from  the  advantages 

intion,  the  tanks  aro  few,  small,  and  in  a  neglected  condition: 

B  time  imagined  that  any  large  storage  projects  for  irriga- 

,  tliis  prorince  would  bo  perfectly  impracticable  owing  l«  tha 

vtion  of  the  country;  yet  in  1870,  three  large  storoge  ret 

•rcre  prtiposed  at  Donad.  Balajior,  and  Akola,  as  well  as  eevt 

•  ones,  by  a  civil  engineer  appointed  by  the  Government 

Moi^t  of  these  projects  were  then  set  aside  by  the  proviw 

1  of  tlie  Public  Works  Department,  a  military  man  totally  die- 

3  the  advantc^es  of  irrigation  ;  it  is,  however,  now  probable 

I  nnder  futui-e  more  enlightened  auspices,  Berar  may  be  changed 

P  a  well  irrigated  and  permanently  prosperous  province. 


Kn«  Tbat*  of  the  Madras  Prttideiiey  are   exceedingly  i 

%  BOrae  of  them  are  of  immense  size.     They  were  made  under  the 

fl  of  the  Telingi  rajahs.     In  the  fourteen  districts  of  Madras 

aid  to  be  53  OOO  tanks,  having  probably  30  OOli  miles  of 

ikmcnts,    and   301)  0(XI    separate    masonry    xvorks,    weirs,  and 

9,  yielding  a  revenne  of  £1  500  000,  and  having  a  capital  sank 

hem  of  15  millions  sterling;  yet  in  1853  not  one  now  tank  had 

n  made  by  the  English,  while  a  very  large  proportion  of  them  had 

a  allowed  to  fall  into  disrepair. 

I,  The  Viranam  tank,  a  very  ancient  work,  has  an  area  of  ,3S  eqnare 

s,  and  an  embankment  12  miles  long ;  it  is  still  in  full  operation, 

d  secnres  an  annual  revenue  of  £11  453. 

|.Tli«  Chcmbrambakam  tank  in  Cliinglipnt  resembles  a  large  nataral 

9,  its  embankment  ia  more  than  three  miles  long,  and  it  has  six 

with  a  total  width  of  676  feet  of  escape  ;    it  supplies 

BlOOO  acres  of  rice  cultivation.     This   tank  was  enlarged  in  1867) 

ift  cost  of  £41  000. 

IThe  Ifodrantakam    tank  at    Chinglipat  yielded  a  gross  return  in 
lD72of  £lSd7,  and  a  net  return  of  £1607  on  a  capital  outlay,  pro- 

Uy  spent  in  repairs  or  reconstruction,  of  £2243. 

1  The  Knvcri-pak  tank  in  North  Arcot  is  also  of  great  antiquity ;  it 

■  fed  &om  the  Paler  river,  and  has  an  embankment  nearly  fonr  miles 

ig,  revet«d  with  stone  along  its  entire  length  ;  it  irrigates  about 

In  1872  its  banks  were  much  damaged  by  an  extm* 

inary  flood,  and  some  repairs  were  therefore  made.    There  is  a  laigo 

mber  of  tanks  in  die  deltas  of  tlio  large  rivers  of  Madras,   the 


irrigatiou  from  which  is  anfortuoatelf  mixed  np  with  that  fivm 
■  deltaic  canalu  iu  the  official  repurts  and  retnrnB. 

In  Tact,  tilt!  paucity  of  triuitworthj  statistics  of  the  Unb  I 
ICadiHs,  on  which  fho  ngricnltural  prosperity  of  eo  large  a  porfMnH 
India  isdcpeodent,  and  on  the  repairs  of  which  all  capital  jadiciim^ 
■pent  aeema  to  yield  from  SO  to  AO  per  cent.,  is  most  sarprislng, 

Tk«  Tanki  of  Xaitur  are  of  native  origia ;  they  ore  exceed; 
nnmerons,  the  whole  country  being  amply  eappHed  with  irrigntioa  Iji 
many  scrieii  or  chains  of  thee  however,  owiu«  to  the 

fignmtion  of  the  country  of  s  idling  in  a  few  casea.   Thq 

are  in  a  very  deteriorated  i  1  have  soETered  greatljitwi 

Bikiag  up  and  want    of  n  >d  management.     The  1«# 

uaoniit  of  water  ntihzed  in  ur,  is  indicated  in  the 

of  the  rivers  of  that  provi  fortunate  that  the  irrigilti 

acreage  due  to  tanks  and  sscpambly  minted  in  offitui 

records.     Maisur,  oUhougl  eleratod  fiom  2O00  to  30(ft 

feet  above  mean  sea  level,  uik  zception  of  the  Unload  gr 

rainy  traels  of  the  Western  (jtiats,  a  snjall  amonnt  of  rainfall,  tliiii 
forcing  water  storage  as  an  absolute  necessity  on  its  popalatit 
on  the  other  hand,  has  the  disadvantages  of  a  sandy,  and  benis 
leaky  soil,  and  comparatively  steep  BuHace  slopes,  the  longitudinal 
■lopes  varying  from  10  to  20  feet  per  mile  in  the  flatter  portions,  sod 
60  to  80  in  the  steeper  portions  of  the  country,  and  more  rapid  trant- 
verse  slopes;  the  former  enhancing  the  cost  of  storage,  the  lalta 
diminishing  the  breadth  of  irrigation  from  the  cliannels  of  distribntion. 
Stone  is  abundant,  and  is  worked  into  rough  forma,  though  too  bard 
to  be  dressed  for  ordinary  work.  It  is  a  gneiss  of  horizontal  cleavage, 
Thick  splits  into  sheets  3  to  24  inches  thick,  and  25  to  3o  feet  lonj, 
and  is  excellent  for  sliihs  and  pillars,  too  bard  to  he  dressed  for  ordinMj 
work.  For  pitching,  natural  boulders  are  used,  which  are  generally  very 
ronnd.  Clay,  on  the  other  hand,  is  very  rare  ;  and  lime  is  gencrall/ 
to  be  found  only  at  great  distances,  and  is  hence  often  dispensed  with 
in  anicuts  and  overfalls,  which  are  made  to  depend  for  stability  on  tha 
size  and  position  of  the  boulders. 

According  to  the  returns  of  18-53,  there  were  26  450  tanks  iu  Maianr, 
of  which  410C  were  large  irrigating  reservoirs,  13  737  small,  and  8609 
unirrigating,  i.e.,  in  a  useless  condition  ;  giving  ahont  1  oflective  tank 
per  sqanru  milo  in  tlio  trrOBs  ;  the  nrca  of  Mi(l.,ur  Wing  27  2(13  sqiwre 
miles,  of  which  tiu  per  cent,  is  under  the  tank  system.  Is  the  serca 
districis  of  Kolar,  ^here  Mxn  er«  moderate  conditioni  -  (^  rainbHi 


A  no  Tery  liirgc  reservoirs,  there  were  3611  tjinks,  of  which  2960 
n<B  irngKting,  giving  1'07  lunka  to  a  square  mile,  and  an  approxi- 
aAo  a%'emge  (juaatity  of  wet  coltivatioa  of  10  acres  to  each  tank. 
a  the  coinparalivoly  minless  tract,  comprising  portions  of  sii 
i»tricl»,  on  which  the  annaa]  rainfall  varies  between  10  aud  20 
nclics,  there  were  lOOf  tanks,  giving  0'31  irrigating  tanks  per 
ic|aarc  mil;,  and  2"5  acroa  of  wet  cultivation  as  an  average  to  each 
amk.  Afler  that  time  a  certain  amount  of  money  was  spent  in 
evp&irs.  In  1866,  however,  the  EiecntiTo  Engineer  of  the  Bangalor 
DiTiaion  had  reported  that  fully  half  the  tanks  under  bia  charge  were 
brraclicd ;  in  Chittaldrng  285,  or  one-third  of  the  recorded  nnmber, 
out  of  order  ;  in  1'omkur,  530  out  of  1124  ;  in  Shemugab,  2496 
cmt  of  4520  ;  and  in  the  Maisur  Division,  705  out  of  1109.  Hence,  it 
■ppcars.  that  there  were  in  all  about  1500  larger  tanks  requiring 
rrpnir  at  a  rate  of  £300  each,  and  3000  smaller  at  £150,  and  that  a 
total  ontlay  of  £000  000  was  necessary  to  put  them  in  good  order. 

In  1872-73  as  many  as  249  tanks  were  breaebed.     The  Irrigation 

IVpnrtinent  of  Maisnr  is  now  dealing  with  the  matter  gradually,  by 

■  '-S^^  '''"  '*^''s  up  to  a  certain  standard  of  repair,  and  then  handing 

..' ni  over  to  the  aaperiuttndence   of  the   tax  collectors;  by  theae 

.u;in8  it  18  hoped  that  the  tanks   of  MaiBBT  will  be   economically 

I'jiigbt  into  good  condition. 

Among  the  very  large  reservoirs  requiring  special  notice,  are  Uie 

'  N  LTgar  Sniikerrai,  on  the  river  of  that  name,  which  has  a  margin  of 

'  ■  Hit  40  miles,  and  an  embankment  1000  feet  long,  84  feet  high,  and 

foet  breadth  of  base ;  the  Maddak  tank  on  the  Yedavatti,  whose 

iibankmcnt  is  1220  feet  long,  and  90  foct  high,  having  a  breadth  of 
,-o  of  CGO  feet;  aud  the  Motitalao,  on  a  feeder  of  the  Lokani,  having 
:  embankment  117  feet  high,  22-1  feet  long,  and  a  breadUi  of  base 
:'  375  feet.  These  are  in  specially  favoured  situations,  between  two 
i  I>  guarding  the  outlets  of  largo  valleys.  The  proposed  Mauri  Cunawai ' 
mid  Kombarcattai  reservoirs  have  similar  sites. 

Ttption  ((f  an  average  Maisur  Tank. — Length  of  dam  }  to  IJ 
;  18  feet  high,  12  feet  top  breadth,  60  feet  base.  Front  revet- 
ment of  rough  stone,  with  a  batter  of  1  to  2,  its  facing  1'5  to  3  feot 
thick  backed  with  the  same  thickness  of  loose  rubble  ;  sltiicos  1  to  3 
to  each  tank  ;  section  of  vent  21  foet  X  2  feet,  length  30  to  120  feot, 
inLm  of  section  sometimes  barrel- shaped,  sometimes  rcetangalari  they  J 
■  ^iil  off  from  the  lowest  point  in  the  tank.  Inlet  cistern  3  feet  higJ 
■  •  feet  square,  outlet  uiatcms  the  same  ;  p[agpol«lHul  gibbed  sto 


orific«;  escEipo  weirs  1  U>4forcacli  IadIc,  30  to  3uO  feel  wide,  miide 
largeet  stones,  vr&ter  front  3  to  9  feet  deep ;  dam  Btaaat  3  feet 
4^  feet  higl],  which  wlica  dammed  give  2  feet  mora  water;  wing 
3  to  6  feet  high,  converging  and  oftcrw&rda  diverging ;  toil  pansd 
etoping  for  a  long  dtHtauce  or  borizontaJ  :  &  lower  stone  wall  m 
times  placed  across  the  tail  at  some  distacce  oS*  to  inlero^  k 
the  escape  water,  which  is  taken  ofi'  by  a  eliamiel. 


mhtg  Watencorkt,  by  Henry  Conybeare,  M.I.C.E.,  and 
—  Walker,  C.E. 
(  the  firet  of  the  Indian  cities  to  cany  out  for  itself 
B  on  Bt  modem  system,  and  call  in  the  aid  of  English  civil 
•  to  design  and  saperintend  their  execution. 
B5^  Mr.  Henry  Conybeare  determined  that  the  Vehar  baain, 
valley  of  the  Goper,  was  adequate  to  the  collection  and  storage 
the  water  that  would  be  required  for  Bombay  for  some  years ; 
rlta  were  therefore  confined  to  the  formation  of  one  artificial 
md  their  execution  entrusted  to  Mr.  Walker  aa  Resident 
ter  ID  ISoH.  The  catchment  area  was  3948,  and  was  capable 
ig  extended  by  catchwater  drains  to  5500  acres ;  the  annual 
I  124  inches,  of  which  it  was  calculated  that  six-t«iiths  op 
tehee  would  be  available,  would  in  these  cases  supply  6(500  mil- 
ir  90O0  million  gallons.  The  storage  capacity  allowed  was  10  800 
I  gaJIons  i  deducting  from  this  the  loss  from  evaporation,  which 
Dcbes  per  month  for  the  eight  dry  months  of  tho  year,  would 
t  to  1000  million  gallons,  the  available  supply  would  be  9800 
18.  As  the  annual  rainfall  on  the  gathering  grounds  greatly 
cd  the  annual  consumption  of  Bombay,  it  was  evident  that  the 
^ronld  continue  to  rise  in  tho  lake  from  the  commencement  to 
td  of  the  rains,  or  for  three  montlis,  leaving  only  nine  months' 
uption  to  be  provided  for.  Hence,  the  reserve  allowed  in  tho 
was  equal  to  9800  —  3700  =  6100  million  gallons,  at  an  allow- 
if  twenty  gallons  per  head  per  day  for  a  population  of  700  000 
;  oine  months,  and  was  thus  nearly  equal  to  two  years'  supply. 
en  filled  up  to  the  level  of  the  waste  weir,  the  maximum  depth  of 
ebar  lake  is  80  feet ;  it  covers  an  area  of  1394  acres,  and  stands 
et  above  the  general  level  of  Bombay.  The  three  dams  by  which 
ater  in  tho  lake  is  impounded  are  as  respectively  84,  42,  and  49 
1  extreme  height,  and  835,  555,  and  931)  feet  in  extreme  length 
g  top,  and  they  altogether  contain  the  following  quantities  as 
;  earthwork,  406  066  cubic  yards ;  puddle,  55  059 ;  broken 
onder  pitching,  1983  cubic  yards  j  and  pitching,  53  617  square 
,  The  top  width  of  dam  No.  1,  which  carries  a  road,  is  24  feet, 
Jiat  of  tho  two  others  20  feet ;  the  inner  slope  of  all  three 
akments  is  3  to  1,  the  outer  2^  to  1  ;  the  embankments  were 
led  to  be  formed  in  regular  layers  less  than  f>  inches  thick, 
ed,  pniuied,  and  conBolidated.      The  puddle  walla  are  10  f^t 


I 
I 


tos] 

wide  at  tbe  top,  and  baltor  1  hiB 
excavated  through  tho  Huriace  rock  and  past  oil  Bor&ee  sprin 
tlio  fioiid  basalt  bclon' ;  the  slopes  and  tops  of  tlie  dams  were  ( 
with  12  inches  of  stone  pitching  over  12  incliee  of  broken  stom 

The  wAst«  weir  is  3-SB  feet  long,  and  has  a  top  width  of  20  feet 
with  ashlar.  The  water  is  drawn  &wm  the  reservoir  throngh  b 
provided  with  four  inlets,  at  vertical  iotorv&Ia  of  16  fcot,  having 
meter  of  il  inches,  and  provided  with  conical  ping  seats  faced  wit 
metal — tho  plugs  being  snspendod  from  a  balcony,  and  wott 
cranes  at  the  top  of  thf  e  inlet  in  nse  is  EnraionDta 

nroQght-iron  straining'  id  with  No.  30  gnage  copp« 

and  fixed  to  a  conical  nto  the  inlet  orifice  in  die 

manner  as  Ibe  plags,  (  able  of  being  raised  or  lowei 

pleasure  ;  the  strainer  jf  54  square  feet.    The  stni 

eo  affixed  to  the  cage  i  its  being  changed  in  ten  nt 

from  a  boat,  and  a  p  or  the  cage.    At  the  bottom 

inlet  well, and  exnctlv  nee  to  the  main,  is  anotbo'C 

seat,  into  which  a  sii  age,  having  a  sarface  of  90  i 

feet  of  No.  40  gauge  copper- wire  gaoEe  is  inserted.  The  objects  ( 
arrangement  were  to  utilize  the  whole  bead  of  water,  inclndin, 
due  to  the  depth  of  tho  lake,  which  would  have  been  lost  had  the 
been  strained  at  the  outside  foot  of  tbe  dam ;  and  to  avoid  the 
heavy  sluice- valves,  in  positions  in  which  it  would  be  difficult  to 
them.  Without  this,  the  utmost  head  obtainable  would  have  be 
sufficient  for  a  distributioQ  by  gravitation  alone.  No  filtration  ui 
meats  nor  sludge-pipe  were  considered  necesBary. 

The  suppy  main  traversing  the  dam  is  4L"  interior  diameter,  a 
metal  1}  inches  thick :  it  is  laid  in  a  level  trench  excavated  in  th 
and  filled  with  concrete :  the  portion  traversing  the  puddle  tn 
supported  on  ashlar  set  in  cement,  puddled  to  a  depth  of  6  inche 
then  arched  over  with  four  rings  of  brick  in  cement ;  two  tea] 
washers  being  affixed  transversely  on  the  pipes  to  prevent  any 
from  passing  between  the  pipes  and  the  paddle.  At  the  slmce- 
situated  at  the  outside  foot  of  the  dam,  the  lai^  main,  41  inc 
diameter,  bifurcates  into  two  mains,  each  32  inches,  which  co 
for  a  distance  of  nearly  11  miles  to  Bombay.  The  supply  is  distr 
through  tbe  town  by  branch  and  street  mains  in  the  usual  waj 
hydrants  are  self-cloaing,  and  of  a  design  tliat  admits  of  their  c 
either  with  or  against  the  water  preasure,  the  coanberweights 
adjusted  to  tbe  resistances  at  the  various  levels  of  the  town  .*  the 
ralFes,  32"  diameter,  are  so  cosstmoted  aa  to  be  capaUe  of  being 


1  under  the  severest  presBore,  with  a  very  trifling  exertion  of 
B  smaller  valves  arc  on  Underhay's  system,  which  admits  of 
nl  of  the  valve  seat  and  valve,  without  dietnrbing  the  laying 
vtioa  of  the  mains.     The  water  is  delivered  under  a  presaura 

165  to  180  feet.      The  actoal  delivery  of  water  commenced  in    I 
The  original  estimat*  of  these  works  was  £250000;    ' 
b,  inclnding  interest,  was  £G55  000.     The  result  was  a  supply 
Bot  water  to  Bombay  of  8000  instead  of  3800  million  gallons 

inging  in  an  annual  revenue  of  ^38  000.  At  present,  in  1873, 
>  population  has  increased  to  800  000,  the  supply  per  head 
to  only  10  gallons  daily,  and  an  additional  supply  is  required. 

Iirojocts,  having  Uiis  object  in  view,  have  been  proposed  by  Mj*. 

Aitken,  Captain  Hector  Tolloch,  and  Mr.  Bienzi  Walton,  C.B., 
1  Engineers,  and  a  very  large  amount  of  time  has  been  spent  ' 

nag  them. 


|kdn< 


The  Madras  Waterworks. 

fcr  the  Water  Supply  of  Madras  and  Irrigation  t 
W.  Fraser,  C.E.,  Esecutive  Engineer. 

■iginal  estimate  of  the  works  was  as  follows : — 
dam  across  the  Cortclliar  stream  ... 

itb  head  and  other  sluices,  bridges,  and 
ottier  requisite  works,  for  8^  miles,  hxna  ihe  dam 

to  Cholaveram  tank  •• 

le  enlargement  of  this  tank  by  raising  its  embank- 
menta  18  feet  ...         ...         ,,,         ... 

channel  2  j  miles  lironi  Uie  Cholaveram  to  the  Ked 
Hill    tank,    with    aloices,    bridges,    and    other 

Tlie  enlargement  of  this  tuik  by  raising  its  embank- 
ments la  feet  ...  ...         ...         ...         •■> 

A  channel  from  R«il  Hill  tank  to  the  Spur  tank  in 
Madras,  with  sluices,  bridges,  and  other  works  ... 
ipensation,  superintendence 


r  it,  by 


En  consequence  of  alteration  of  design  and  increase  of  rates  the 

iseqnent  revised  estimate  amounted  to  £104  2l>4. 

The  dam  as  erected  was  469  feet  long,  and  6  j  feet  high  at  crnt^ 


■  [loij  1 

^^BS^'l  acres  of  rice,  at  700O  per  sere,  yielding  £GOUO,  at  lis. 
^^^k  and  33  millions  for  water  supply.  Asgaming  that  the 
^Hdd  of  Madras  will  iocroase  from  170  OOO  to  SOO  OO),  and  will 
^^Bi  supply  of  20  gallons  per  head  daily,  their  wants  will  not 
^^HkZ  million  cabic  yards  per  annum.  The  distribution  of  the 
^^^Bply  from  the  Spnr  tank  forms  a  Eeparate  municipal  under- 
^^B  the  municipality  of  Madras  agreeing  to  pay  1  rupee  per  1000 
^^Hrda  of  water  taken  from  it. 

^^Kriginal  tal«a  of  work  per  oubio  yard  were— earthwork  of  all    j 
^^^fc  to  4  annaa;  puddling,  (j  to  8  annas;  revetment,  8  annaa;    | 
^^Hirk  complete,  3  rapees  to  3  rupees  4  annaa ;  thus,  quarrying  i 
^PParing,  1  rnpee  8  annaa  ;  cartage,  2  j  miles,  1  mpoo  j  building,    ' 
^&ae.     These  rates  were  afterwards  increaaed. 
iPfce  capital  outlay  up  to  the  end  of  1871-72  waa  £104  772,  but 
'>••  further  sums  were  spent  during  1872-73 ;  from  which  it  would  ■ 
.  '  l:at  the  Madras  waterworks  are  now  nearly  in  perfect  working 
.  .  the  income  and  cost  of  maintenance  up  to  1872-73,  was  £222 
'  i-.'JU  reEpfictively  ;  and  during  1872-73.  £1510  and  £6ti7. 

Tlie  Calcutta   Watcrivurks. 

wigned  by  W.  Clark,  C.E.,  in  ise,*),  carried  out  with  alterations  by  ' 
—  Smith,  C.B.    The  intended  daily  aupply,  6  million  gallons,  ' 

Qaiieral  Degiyn. — The  water  is  drawn  from  the  river  Hughli  at  Pultah, 

mites  from  Calcutta,  through  an  iron  suction  pipe  protected  from 
k  cnrrent  by  an  open  iron  jetty,  the  suction  boxes,  36  inches,  being 
rentd  with  an  iron  sheet  perforated  with  one-inch  holes.  The  first 
pnes  are  situated  at  Pultah,  close  to  the  river;  they  are  three 
mber,  high  pressure,    double  acting,  eipanaive,  condensing,  of  30 

P.,  nomioal  h  feet  stroke  and  30  feet  lift,  and  pump  twice  a  day 
ring  low  water,  for  five  hours  each  time,  into  the  settling  tanks 
Iw  to  them.     The  settling  tanks  are  six  in  number,  each  being  200 

500  feet,  arc  used  and  cleaned  in  regular  rotation :  it  takes  ons 
>ntb  to  clean  one,  the  deposit  of  mud  being  very  large,  oven  as  much 

one  cubic  inch  to  the  cubic  foot,  or  1  part  in  728  in  bulk  when  dried. 
I  ticwerer  this  has  to  be  removed  from  the  settling  tanks  in  the  fluid 
itc  of  soft  mud  about  three  or  four  times  daily,  the  above  proportioi 

bulk  amounts  to  or  from  4O0O  to  SOUO  cubic  feet  of  mud  daily  from 
nilUoii   gallons  of  water.    For  cleansing  the  bottoms  of  the  settling 

a  are  arranged  in  a  series  of  corrugations  48' 6"  wide  ;  on  each  of 
Ma  drain 4'  wide  by  1'  3"  deep  is  formed,  into  which  the  water 


I 


I,  &B  coarse  &euig  genemlljr  alongside  of  a  Iiigli  road.     Ths 
)  (all  from  PulUli  to  Calcutta,  a  distance  of  17  mileB,  is  about 
Tliis  covered  reaervoir,  intended  for  storage  in  emergency,  ia 
E  200  X  20  feet,  of  which  IC  feet  ia  available  for  storage,  hold- 
H  milKon  gallons.      The  bottom    consists  of    a  aeries  of 
■  15  feet  span,  and  two  rings  thick,  turned  on  a  floor  of  6  inches    . 
rete  ooTCred  with  a  byor  of  aaphalte.  The  outer  walls  are  2'  ff^'U 
LiplaHtered  with  cement.  ^ 

1  this  reaervoir  engines,  three  in  number,  and  similar  to  those 
,  any  two  being   able   to  carry   on   the  work,  pump   during 
ptiroe  the  supply  required  for  tweuty-four  hours  for  the  northern 
D  of  Calcutta  into  the  tmnk-mEiina,  and  during  the  night-time 
■required  for  the  southern  division  of  Calcotta  into  a  covered 
r  at  Welliogton  Square  :  for  both  these  purposes  the  engines 
B  water  from  the  bottom  of  the  reservoir  to  a  height  of  50  feet 
ft  tlie  bottom. 

^rAttiion. — The  distribution  is  effected  from  the  store  reservoir 
a  two  divisions.  Ist.  A  30-inch  inlet-main  from  the  works 
ii  to  the  canal  aqnednct,  thence  continued  up  to  the  Circular 
1, 1408  yards.  2nd.  A  2-t-inch  main  from  the  junction  of  Circular 
d  and  Comwallis  Street  to  Wellington  Square  iSGi  yards  long. 
»lii«  pipe  serves  during  the  daytime  as  a  main  to  supply  the  northern 
n  of  the  town  at  a  low  presauro  of  50  feet  head,  and  at  night  to 
« tank  at  Wellington  Square ;  whence  the  supply  of  the  soathem 
D  is  carried  on  by  engiaea  under  high  pressure. 
»  engines  at  Wellington  Square  are  three  ia  number,  and  of 
r  principle  to  those  at  Pultah  and  Tallah,  bat  are  of  75  H.  P. 
;  any  two  will  do  the  necessary  work,  the  power  being  tliat 
B»ry  to  distribute  the  full  daily  supply  in  six  hours  from  the  level 
f  the  bottom  of  the  reservoir  to  a  height  of  lUO  feet  above  the 
,  Of  a  total  lift  of  120  feet.  The  work  actually  done  by  two 
e  engines,  in  ordinary  practice,  is  to  raise  1^2  gallons  at  each 
te,  at  a  speed  of  20  revolutions  per  minute,  or  in  thirteen  hours 
ll  three  tons  of  fuel,  to  raise  3i  million  gallons  under  a  lift  pres- 
B  of  60  feet. 

For  the  low  pressure  dirision  there  is  also  an  auxiliary  18-inch 
,  13i5  yards  long,  and  two  12-inch  mains,  both  together  2980 
rards  long.  For  the  high  pressure  division,  the  auxiliary  and  lateral 
nk-maias  are — one  24-inch  main,  220  yards  long;  throe  IB-inch 
ins  amoonting  in  length  to  3810  yards;  and  ben  12-tnch  amounting 
length  (o  Ci'i},^!  yanls;  exclusive  of  two  trunk-mains   12-inch  and 


[104] 
9-uicUc 
of  the  n 


Sontheni  DiTisioa  ...         220     3840    B-bSS    1465     H 

NOTtbera  Division  1408     1664     1344     2980      ...       jM 

Total         1108  5084     5184  US65     1465     M^ 

These  mainB  have  alao  dbtrict  senrice  mains  in  loops  or  eeddoi 

clositblfl  by  vftlvea  aa  fol'""--      ^"  *''e  low  pressure  division  tliejo 

13  in  numl>er,  in  the  li,  division  26,  consisting  of  Ik 

following  le^ngths  in  yai 

r  f                 %'        Tjdnt. 

Lowpreasnre      1830  6  414           1912        24 

High  pressure    2214  17  212           833G         48 

Tlie  water-pipea  arc  I  along  the  streets  on  the  ■ 

opposite  to  that  of  the  i;  are  in  9  feet  lengtiis,  snd 

the  weights  naaaltjr  adi 

The  total  length  in  jards  ol  luc  luains  are  as  followa : — 

Tnmt  muni.       Loop  maliu.  TaWl. 

Low  pressure  Dirision  10  596  24  064  31660 

High  pressure  Division  14 110  42  964  5707* 

Totals     21  706  67  028  91  734 

or  about  iiii  miles. 

The  inclinations  adopted  are  as  follows :— I^m  Pnltah  to  TIM 
1  in  5500 ;  slndge  culvert,  1  in  500  ;  river  water  culvert,  1  in  1600 
clear  water  cnlvert,  1  in  1000. 

The  loop  system  being  adopted  in  all  fatore  extensions  or  nei 
district  mains,  dead  ends  are  altogether  ayoided ;  bo  that  on  openia 
the  valves  connecting  these  mains  with  the  tronk-main,  a  free  dicnli 
tion  must  take  place  thronghont;  the  loops  cannot  be  connecb 
together,  bnt  additional  pipes  can  be  inserted  into  any  of  these  loq 
to  obtain  an  extended  distribntion.  The  pipes  allowed  are  folly  ii> 
to  distribute  12  million  gallons  daily,  or  double  the  amonnt  at  prese; 
required.  It  is  intended  to  keep  the  pipes  constantly  foil  under  pn 
Bore,  so  BB  to  obviate  any  necessity  for  cisterns. 

Besides  the  above  supply  for  Calcutta,  the  works  will  give  erentoa] 
a  supply  of  120  000  gallons  daily  to  the  cantonment  of  BanM^ 
involving  an  elevated  tank  50  feet  high,  4660  yards  of  S-tnch  im 


^itS  ft  supply  of  60000  gallotie  to  the  cantonment  of  "nam-C 
r  a  pressure  of  50  feet  through  iiiJOO  yards  of  6-inch  pipe. 
)  total  coat  of  the  water  delivered  in   Calcutta,  half  at  50, 
f  at  100  feet  pressure,  is  eHtiraated  at  about  30  OUU  gallons  for  £ 
very  of  the  roaio  snpply  commenced  in  1860. 
e  estimated  prime  cost  waa — 
Price  and  rent  of  land  taken  for  tho  works     ...  £11  082 
Machinery  and  Works,  engines,  filters,  reaer- 

voire,  pipe  to  Tallah 37?  838 

Trunk  and  district  maJna,  valves  and  hydrants, 
after  deducting  for  valve  of  Bome  received  ...  106  676 


Total,, 

Engineering  and  contingencies  15  per  ceut.     .. 
Snpply  to  Darmckpur  and  Dam-Dam 


,  405  596 

.     75  000 
.     10600  ■ 

i581  096 


%e  annnal  expenses  are  estimated  at  £75  964,  inclusive  of  £57  060 
krepayment  of  loan,  at  10  per  cent,  on  cost  of  works. 

Tie  Ambajhari  Reservoir,  constructed  by  A.  Binnic,  M.I.O.E. 

e  name  of  the  projector  of  this  scheme,  which  is  an  enlargement 
ft  native  tank,  is  not  mentioned  in  the  official  records :  it  was  chosen 
D  among  other  projects  for  tho  supply  of  Nagpur,  by  Mr.  Ilinnie, 
^860,  and  laid  before  Government  in  the  two  following  forms : — 

i^ect  JTo.  \.— Water  Supply  of  JVA^ipur.— Popnlation,  84  000; 
tehment  area,  6'6  square  miles,  bare  and  basaltic,  having  an  annual 
bfall  40-73  inches,  mansun  rainfall  37'52  inches.     Proportion  run 

Q  an  average  mansun  '43,  minin 


^be  evaporati 
mbay,  which 
■,  hence  all  I 
a  for  Nagpi 
i  be  2-5  feet 
lowed  7  gall o 


s  based  on  Conybeare's  measurements  at  Vehar, 
2'5  feet  in  eight  months  of  dry  season,  or  \  inch 
made  for  3'5  feet  in  eight  mouths  as  a  mosi- 
The  rate  of  silting  determined  from  obsen-ation 
80  or  90  years  ^  '375  inches  annually.    Snpply 
per  head  daily,  and  aa  this  is  all  wanted  nearly 
e   time,  the  pipes   are  made    to    deliver  15  gallons  per  head 
There   is  no   filtering  arrangement,  but  strainers  of  copper- 
gauze  are    used,    being  fiied  in    wooden  frames    ii      ' 
.      The    siphon   is   2-5'    in  diameter,  length   185,  riao  15,    fall 
tion  :  air  pipe  3"  diameter.     The  siphon  joiui 


:! 


[IWJ 

are  turned  and  bored,  flongea  packed  with  wood,  bolted  and 
with  honp  iron,  bolts  and    waahere.    The  majtimiun  head  is  78  (■( 
or  Stliis,  per  nquare  inch,  hence  the  pipes  are  teeted   to  1301k 
per  sijuare  inch.     The  formnia  used    for   the  discharge  of  pijiee  il 
Young's  Eyt«lwoin,     v  =  50    .   /  /- —- \      There  are  sconriiig 

nlves  at  low  points.     The  embankment  is  in  layers  12  inebes  tiici, 
inclining  inwards  1  in  ti,  ret«ntiTe  clayey  material  alone  oaeili  il> 
■  anrfacea  of  hard  material,  covered  with  12"  of  rough  hand  pilching;  iu 
alopos  are  outer  IJ  to  1,  in  a  foundation  is  stoppeil  «iid 

benchi^d.     The  escape  woii  rabble,  its  sill  of  angle-im 

3  X  -t  X  i  welded  and  ho  i.     The  waste  wateivoiirbe  i> 

Iff,  broad  at  bottom  with  s.  The  main  pipe  is  carried  ro 

wftlls  of  mbble,  or  in  a  bed  I  feet  thick,  stepped  icb  tht 

emkuakment ;  in  the  valve  lid  in  concrete.     Pipes  »!»« 

13  inches  diameter  to  have  caulked  with  span  yarn,  uid 

lead  driven  in  with  oanlkii  of  less  than  13  inches  tnnted 

and  bored,  fixed  with  Ron  All  pipes  to  be  tested  nndn 

preasnro  by  hammer  7  lbs.  woi|  jus  Smith's  process  applied 

to  all  pipes  inside  and  out  afl«r  fitting.     Distributing  pipes  to  bear  on 
Bolid  ground,  in  trenches  4  feet  to  2j  feet  det'p,  filled  and  rammed. 

The  paddle  wall  in  the  centre  of  the  dam  is  5  feet  wide  on  the  lop, 
and  lU  below,  and  Si/  high,  made  iu  layers  of  8  inches. 

Project  No.  2,  combining  Irrigation  tcilh  Toum  Supply. — Siphon  B 
in  last  project ;  irrigation  duty  of  water,  200  acres  to  1  cubic  foot  per 
second;  acreage  1121,  for  eight  months  excluding  waste  land  = 
116  225  280  cubic  feet  in  all,  including  747  acres  for  twelve  months  i 
diatribntion  effected  by  a  largo  irrigation  pipe  with  wide  joints, 
giving-  7'9S  cubio  feet  per  second  to  start  with,  «iid  d^cre^ng  i" 
diameter  bo  aa  to  give  only  2-32  cubic  feet  per  second  for  water  sopplr 
at  the  city  S  miles  off;  the  intermediate'points  of  discbai^  fb^iirigv 
tion  r^ulatiug  the  discharge  and  diameter  of  the  pipe  between  Umo. 
this  arrangement  hUowb  793  —  2'32  =  561  cubic  feet  per  wcond  for 
21  acres  of  irrigation,  and  prevents  an  ezcesaive  supply  &om  bong 
cen  in  the  city,  as  it  might  be  in  an  open  channeL  The  dischai^ 
d  hence  the  sizes  of  the  small  irrigation  outlet  pipes  are  calculated 
a  if  they  were  independent  up  to  the  reservoir ;  sloice  oocks  are  pro- 
vided at  the  branch  ontleta.  A.  ganging  and  regulating  apparato^ 
worked  by  a  table  of  discharges  calculated  for  every  -01  foot  of  ran 
for  submerged  orifices  and  weir,  controls  the  whole  supply. 

The  details  of  the  above  projects  were  drawn  up  in  18€!4,  the  hroK' 


tlM 


ictioned  in  April  1870,  and  the  coatemjilated  irri 

The  eatdmatee  amounted  to  £32  535 ;  the  reservoir  was 
1  October  187"2,  but  ibe  distribution  was  not  carried  out  by 
I.  The  reservoir  has  a  top  surface  of  370  acres,  and 
of  257'5  million  cubic  feet,  of  ivbich  240  millions,  or  IJ 
ns,  SJre  available. 
B  cost  of  escavttting  the  puddle  trench,  including  pnmpin)^,  was 
I,  at  the  rate  of  Is.  per  cubic  yard  ;  the  cost  of  puddle,  £QG59, 
i.  per  cnbic  yard  ;  the  coat  of  embankment,  in  1  foot  layers 
uid  watered,  waa  £4277,  at  Sjd.  per  cubic  yard;  the 
ntfs  for  pitching  were  from  5s.  to  lOs.,  and  for  turfing,  2s.  per 
llMt  anperlicial  feet;  the  total  cost  of  the  ontlut,  including  straining- 
in.T,  foot-bridge,  well  and  valve  house,  was  £2893,  and  that  of  the 
I  nfie  weir,  £821 ;  the  ral«s  for  ashlar,  basalt,  rubble,  and  concrete 
I  -lug  from  278  to  54s.,  from  10s.  to  16b.,  and  Ss.  per  cubic  yard. 

The  distribution  source  ia  a  public  one,  the  water  standards  being 
jilaced  IW  yards  apart  along  the  streets.  The  main  pipe  was  4  milea 
long  and  I'l  feet  in  diameter,  and  the  distribution  pipes  10  500  yards 
'  ill.'  and  1  foot  in  diameter;  the  pipes  wore  delivered  in  Itombay  at 
i"  is.  per  ton,  and  in  Nagpur,  at  £11  1+b.  The  works  were  completed 
«ithin  tlie  estimate,  and  a  supply  of  15  gallons  daily  per  head  can  be 
iimiiilAined  in  years  of  extreme  drought. 


1 


TkiAiola  Pnyect  for  Irriijalioii  and  Water  Supply,  bi/  L.  D'A.  Jackton, 
A.I.C.E.,  Executive  Engineer  for  Irrigalton  in  Berar.  J 

le  proposed  works  consist  of —  fl 

\  A  reservoir  formed  on  the  Moma  river  by  a  masonry  dam  and 
earthen  embankments  east  and  west  of  it. 
Ji  irrigation  channel  5  miles  to  the  first  watershed,  and  3  mors 
to  the  third  watershed  to  the  east  of  the  river,  and  irrigation 
mnels  15  miles  to  the  west  of  the  river. 
■  Klter  beds,  drinking  and  bathing  basins,  with  a  fountain  at  the 
town  gate  of  Akola,  with  pipes  to  it  1^  miles  in  length. 

S  Uatonrjf  dam  625  feet  long,  extreme  height  36  feet ;  area  of 
snperstmctnre  down  to  30  feet  '3H',  and  of  foundation 
Wlow  that  21A  ;  strengthened  by  buttresses  50  feet  apart  from  centre 
•e  centre  ;  the  wing  walls  rise  to  S  feet  above  the  sill  level  and  reri 
'he  embankments,  which  ore  8  feet  wide  at  top,  slopes  2  to  1  and  3 
»Bd  have  a  section  lO'S  H  ;   length  of  eastern  wing  2751, 

afreet. 


tl08] 

Reserrotr,  extnme  length  aad  bi«ftdtli  about  2^  tuilee,  area  of 
•prend  2300  acres  :  of  which  I'XKJ  are  undar  caUiTatioit,  and  on 
th«iro  aru  only  a  few  amall  huts. 

ConteutB  available  for  perennial  irrigation,  cnUc  feet  *11  055 
Available  for  town  Bnpply  „  ...     58427360 

Waato  or  Btanding  water  „  ...       8  843139 


Total  contents       „  ...  4783213330 

Beside  this,  there  will  be  B'—il-W^  fijf  moninn  irrigatioii  in  seMon 
of  extreme    drought  at  le  es    the    alwve    tot«l  from  (he 

perennial  flow  of  the  rirei 

I 

2.  Chttnwl.— Section  45  slope  1  in  3000,  discharge  V*i 
onbic  feet  per  second  belov  nnd  level  in  section.  la  tasX- 
orn  channel  8  sapcr  passa'  iring  section  of  60  Eqnareliisl 
Mid  discharging  150  cnbit  nd  ;  8  road  crossings  ;  2  wia 
pftssugea  through  embank  feot  pipes  enclosed  in  muonrj 
onlverte.  In  western  cha  aaaages,  12  road  cnMiingi,aDd  r 
2  under  passages.     The  small  trenches  of  distribation  to  be  made  hj 

.    the  landowners,  aided,  if  necessary,  by  loan. 

3.  Toicn  eupply. — Pipes  4  inches  in  diiimeter,  having  a  fall  of  1  iii 
500,  and  discharging  '25  cubic  feet  per  second.  Beds  and  banns  em- 
vated  in  rock,  with  walling  above  gronnd.  Filter  bed  and  baSiiiig 
baain  each  50  feet  square  and  10  feet  deep.  Drinking  basin  octagonil 
having  the  length  of  each  side  40  feet,  and  having  a  jet  in  the  centn, 
the  water  for  which  will  be  purified  by  a  filter  on  the  ascending  prin- 
ciple passing  through  perforated  walling  and  tiles,  then  large  ud 
small  pebbles,  aand,  and  magnetic  carbide. 

Data. — Catchment  area  220  square  miles,  minimnm  downponr  12 
inches  of  which  6  inches  run  off,  give  3066  million  cnbic  feet  in  a;eir 
of  drought,  and  fill  the  reservoir  six  times.  The  extreme  flood  (l»- 
charge  over  the  weir  sill,  using  a  local  coefficient  of  1 2  for  the  formnls 
Q  =  12  X  100  (N)),  =  67  200  cubic  feet  per  second;  and  assnmiii; 
I  flood  velocity  of  13  feet  per  second,  this  gives  a  flood  sectioD  of 
3170  sqaare  feet.  The  waterway  allowed  is  8  x  125  =  5O00  square 
feet ;  the  measured  flood  sections  are  in  snpport  of  this. 

Land  under  water  command  on  the  east  bank  45  square  miles,  «wt 
30  square  miles;  total  75,  all  fertile  ;  the  perennial  supply  for  irrp^ 


r 


during  the  eight  dry  months  is  410  million  cubic  feet,  or  19-5  cubic  feet 

^r  second,  which  at  a  duty  of  200  acres  will    irrigate    3l>00    acres. 

*TLe  mansun    irrigation    supply  for    four  wet    months    exceeds    any 

diemand  that  is  likely  to  occur;  the  probable  maximum  acreage  for 

^UtOA  will  be  about  half  the  irrigable  area,  or  20  square  miles  on  one 

link  and  15  on  the  other,  being  in  all  35  square  miles  or  22  400 

aene;  the  channel  of  supply  is  designed  to  carry  sufficient  to  irrigate 

"tte  total  area  of  75  square  miles. 

Out  of  Worki  and  extension  on  the  west  bank £31  301 

Compensation  and  Road  diversion  ...         ...         ...        1 000 

Brtabliahment  and  contingencies  20  per  cent 6  869 

je39 170 
Probable  retnrii,  when  the  works  are  fully  developed : — 
Perennial,  t.«.,  8  months,  3900  acres  at  14s  ...       SZ  730 

Iffansnn,  t.^.^  4  months,  22  400  acres  ^t  4s.  ...         4  480 

7  210 
Cc^ection,  repairB,  establiabment,  8  per  cent.      ...  577 


> 


r 


Besolt,  a  net  return  on  capital  £40  000  of  16i  per  cent.      £6  633 
Or,  deducting  capital  spent  in  town  supply,  a  result  of  19  per  cent, 
n  tiie  outlay  on  the  capital  spent  in  irrigation,  independently  of  the 
vaterrate  charged  to  the  town. 

Tlie  das^fication  of  water  rates  for  various  crops  is  that  adopted  on 
fte  Ban  Doab  Canal,  but  the  rates  themselves  are  doubled,  as  the  cost 
of  kboorin  Berar  is  double  that  in  the  Bari  Doab.  Hence  the  rates 
iMomed  for  Berar  are,-7-lst  class.  Sugar-cane,  JSl  4e. ;  2nd,  Rice  and 
gttden  produce,  198. ;  3rd,  All  ordinary  field  crops,  not  elsewhere 
neniioned,  10b.  ;  4th,  All  millets,  pulses,  and  grass  crops,  6s. ;  5th, 
A  single  watering,  Ss.  These  may  be  expected  to  yield  mean  rates  of 
148.  and  48;  at  the  leasts  as  it  is  most  probable  that  sugar-cane  will  be 
tttensively  jgrown ;  all  the  sugar  in  Berar  being  now  imported. 


[110]  ■       .       ..- 

iKRioinD  Cbofs,  WtTMMoaM,  AID  WtfB  Bum 

The  Watmrutg  qf  Onft  im  t^aim. 

The  following  data  of  Ur.  Owags  Higgin,  OA,  In  U 
Gsta  the  amoant  of  w>t«r  reqnirad  tat  onip*  in  tli>  iiB{ 
tricts,  whore  tiie  wmnal  nun&ll  ezo^ting  of  Omwdik  ii 

'12  inches  onlj. 


In  Valencift,  bom  the  Jnoar,  riM    ... 

S-00 

'0!82 

Id  Valencu,  from  the  Tnria,  oU     ... 

86 

-OUl 

In  Gnndia,  lype  of  old     

■80 

■0118 

InMuroin>ndOriIiiel>,old    

•7* 

■OlM 

In  GnnuU,  old 

« 

■0041 

Esla  and  Henares,  new    

•*S 

■oou 

Lowest  duty  in  Spain  genenllj,  sew 

•SO 

■oon 

The  practice  of  watering  unul  in  Talaaoia  ia,  fbr  be 
watering  in  8  or  10  daja  ;  for  maiae,  beam  and  hemp^  one  ie 
fur  potatoes,  one  in  21  days ;  for  cereals,  one  in  30  days  ;  th 
amount  givco  at  one  watering  in  ordinary  soil  is  500  cnbic  i 
hectare  (7060  cabic  feet  per  acre),  and  the  fullest  ever  gii 
(988i). 

The  fonowing  daU  of  llr.  Roberta,  O.K.,  in  1867,  are  b 
support  of  the  above. 


ATcnga  urtn&l  iraUr  dntf  in 

FetKc. 

r.ri.«.p™.L=c«. 

perfatct. 

LitfM. 

nriooi  euiAli. 

In  Valencia      

■25 

De  las  Cinco  Villaa 

In  Rioja  (low  clayey)... 

•20 

De  Tamarito    ... 

In  Marcia,  Alicante,       ) 
Aragon,  and  Cataluda    ) 

100 

Del  Henares    ... 

Del  Bsia 

Cereals  4  grasB  generally 

■25 

Del  Tajo 

Hnertas  or  gardens 

•75 

Del  Ebro 

All  other  Unds 

■50 

DelnabellaSegnnda 

In  extremely  dry  Beasons 

100 

The  practice  of  watering  is — for  cereals,  &c.,  4  to  6  waterin, 
for  meadows  8,  and  for  gardens  20 ;  oach  watering  being  i 
2  inches  deep,  which  =  550  cnbic  metres  per  hectare,  and 
ceeding  2J  inches,  or  7  centimetres,  which  b  700  cnbic  > 
hectare.  The  average  number  of  watoiinga  in  a  year  givt 
in  Valencia  is  12. 


[Ill] 


Wtf  Waltving  of  Crops  in  Fra 


Om  data  given  with  reference  to  the  Marseilles  canal,  in  a  pnper 
iby  Mr.  George  Bennie  before  the  Institution  of  Civil  Engineers 
65,  it  seems  that  in  Danphine,  only  one  watering  per  week,  of  a 
I  of  3  centimetres  (1"18  inclies),  is  given  on  heavy  lands  ;  but  on 
soil,  and  with  the  object  of  making  up  for  losses  by  Itltration,  the 
1  allowed  ia  10  centimeti'es  (3'04  inches)  ;  in  lower  Languedoc 
Boosilloa,  the  sfime  practice  of  irrigating  once  a  week,  bat  with 
t  of  S  centimetres  on  heavy,  and  10  on  light  land ;  in  the 
Isle  of  Provence  the  same  as  in  Bousillon  for  field  crops,  bat  a 
IT  quantity  for  garden  crops.  There  are,  however,  localities  in 
gnedoc  and  Provence,  where  this  system  is  practised  only  daring 
or  two  months,  or  for  two  or  three  times  in  the  year, 
le  irrigation  furnisbed  by  the  canal  of  St.  Julian,  on  the  Durance, 
0  hectares  (8fD  acres),  at  Cavaillon,  Vaucluse,  was  538  272  cubic 
M  a  week,  giving  a  calculated  depth  of  watering  each  week  of 
ntimetres  over  that  area  ;  and  this  is  in  support  of  an  average 

supply  actually  utilized  of  10  centimetres  once  a  week. 
□m  data  given  by  De  Cossigny  in  the  "Notions  Elementaires  snr 
rigations,  187i,"  the  watering  season,  iu  the  south  of  France, 
to  the  Ist  of  April  to  the  1st  of  October ;  on  ordinary  land  in 
mce  the  depth  of  watering  usually  given  is  8  to  10  centimetres, 
;fa)B  is  supplied  once  in  ten  to  twelve  days  during  the  sis  months ; 
hta  amounts  to  a  total  quantity  of  \h  552  cubic  netrcs  ^  1  litre  per 
■Bcond  per  hectare,  as  a  continuous  supply :  garden  crops  require 
ratoring  once  in  five  days,  and  require  a  supply  of  2  to  3  litres  per 
pcond.  The  extreme  limits  are  ^  litre  as  a  minimum,  according  to 
i.  Pareto,  and  4  litres  as  a  maximum,  according  to  M.  Uangon.  For 
arioUR  soils  the  same  amount  of  water  is  given  at  each  watering,  bnt 
be  waterings  are  more  or  less  frequent,  varying  from  once  in  five 
laya  for  soil  ibur-fiRlis  sand,  to  once  in  fifteen  days  for  soil  one-fifth 
land.  Summer  meadows  require  a  depth  of  from  5  to  10  centimetres 
kt  efich  watering,  or  a  continuous  supply  of  from  i  to  4  litres  per 
lecond  per  hectare,  or  an  average  of  from  1  to  2  litres  per  second ; 
dtbongh  they  can,  according  to  M.  Mangon,  utilize  and  profit  from  as 
nnch  as  from  34  to  50  litres  per  second.  For  winter  meadows  the 
ninimum  supply  advisable,  according  to  M.  Zeller,  is  a  depth  of  IS - 
centimetres  at  each  watering,  or  a  volume  of  1300  cubic  metres^ 
twenty-four  hours,  which  is  16  litres  per  second  per  hectare;  \ 
Biaximom   which  they   can   utilise  is    1700    litres    per   second   ; 


sptu  oi  La  ^ 
metres  A^l 
otore;  ^^H 
xoaA   ^^1 


hectare,  ii  ae  of  the  Fniirie  Habeaurapt;   and  .-ui  nvcn^ 

■llow&nce  IB  iron.  iO  to  50  litres  per  second  per  hectare,  Ritw 
are  considered  to  require  a  permanent  depth  of  from  16  to  90 
oentimotrea  on  them,  in  some  coses  aa  mnch  4*)  centimetres, 
ft  continuoTts  sopplj  of  1)  to  2  litres  per  second  as  a  minim 
permanent  BtagnatiaQ  of  the  wat«r  is  considered  very  unlieall^. 
Host  crops  in  the  South  of  France,  more  eapeciallj-  fodder  sad 
crops,  reqoii-e  or  preatly  profit  from  irrigation.     Oleaginous  pi 

and  arborescent  cnltivation  -*-  --'    lire   it       Vines  are  floodaj 

to  a  standing  depth  of  10  i  ad  kept  thos  for  a  monli 

winter ;   this  destroys  the  p  nd  renders    the  rinea  b 

fruitful  in  the  folloning  sn 

Tie  W.  t  in  Italy. 

According  to  old  data,  tb  duty  in.  Piedmont  and  Lom- 

bardy  was  from  60  to  SO  s  f.  p.  sec.,  in  some  cases  frot 

90  ba  IW),  and  ran-ly  110.  looted  by  the  anther  in  It^|| 

in  1672,  the  duty  uodor  or  ances  is  considered  to  taagt 

between  80  and  110  on  the  ...woi.  .^_  works.  The  occasion  of  tie 
ejtecntion  of  the  Lago-Maggiore  project  by  Signori  ViUoresi  and  Uen- 
viglia,  led  to  a  re-o lamination  of  the  subject ;  and  data  were  furnished 
by  Signor  Cantoni,  Director  of  the  School  of  Agricultnre  at  lltilao,  uiJ 
by  a  special  committee  of  engineers.  The  principle  adopted  is  thai 
of  the  French,  namely,  that  the  amount  of  each  watering  to  an,Uiul 
should  be  identical*  and  that  the  number  of  waterings  alone  ahoold 
Tary  with  the  soil  and  the  crop. 

The  following  are  means  of  results  determined  by  De  Regis,  Cantoni, 

and  the  committee.     The  amount  necessary  for  meadow  lajid  at  escii 

watering  is  15  046  cubic  feet,  of  which  0160  is  utilised,  and  5885  is 

absorbed  ;  the  nnmber  of  waterings  given  roHes  from  one  in  7  to  one 

in  10  days,  thus  giving  a  duty  of  from  40  to  57  acres  per  cub,  f.  p.  bcc; 

Bandy  lands  requiring  'OSo  cub,  f.  p.  sec.  per  acre,  and  chiyey  lands  -017. 

The  amount  necessary  for  arable  land  at  each  watering  is  18173  cubic 

it,  of  which  9697  is  utilized,  and  84.76  ia  eipended  :    the  nnmber  of 

iterings  given  varies  from  oua  in  14  to  one  in  20  days,  thos  giving 

duty  of  from  66  to  100  acres  per  cub.  f.  p.  sec;  sandy  lands  requiring 

015,  and  clayey  lands  '010  cub.  f  p.  sec.  per  acre.    The  average  of  the 

irrigable  land  under  the  Lego-Maggiore  project,  amounting  to  19369(1 

acres,  requires  a  supply  of  '012  cub.  f.  p,  sec.  per  acre  throughout  tie 

year,  or  a  duty  of  90  acres  ;  th«  mazimnm  dnty  for  clayey  araUe  ku^ 

being  fixed  at  110  acres. 


[113] 


iffoied  Crop!  of  lie  Panjab  and  the  value  of  ore  acre  of 
produce  in  ISTZ. 


n*  V«>t«ni  Jvnu  Ctnil,  1873. 


'-cane — Saccbaram  officinarum 

-Go3Hypiam  herbiiccum 
•Crotalariajunoea 
-Indigorera  tinctorla     ... 
r — CartliamiLS  tinctorios 
c — Cnrcnma  longa 
entale 


Sinapis  campestrii 
nd — Linum  nsitatisainium 
imnts — Teopa  bispinosa  ... 
lOco — Nicotiana  tabacum  ... 
— Papaver  Bomnifernm  ... 
^-Coriander 

n 

— Ptjchotis 

— TrigoneUa  fcenugrcectini 
— Holcus  orghnm 
li — Italian  millet  ... 
fa — Penicellaria  epicata       ... 
, — Panicnm  miliacenra      ... 
— Zea  majB 
eat — Triticnm  vulgaro 
ley — Hordeam  cwLostti 
— Avena  eativa 
a. — Cicer  arietinum 
inr — Ervum  lena       ...         ... 

id — Dalichos  piIoBus 

Og — Phaseolas  mnngo 

th — Phasoolna  aconitifolius... 

nme — Sinji  Medicago  sativa 

ntiy  grass      ... 

— HoIcQs  sorghnm 


200 
20 
120 


6iOO 
2800 
240 
5GO0 
CtiOO 
400 
400 
1G80 
IGOO 
1520 
1520 

leoo 

1520 
1120 
1200 
1440 
400 
1440 
1440 
1440 
3200 
4300 
32'Xi 


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[115]      ■. 

w~ 

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O  «  X  M  K              % 

Ei'l 

S23S53,_^S^ 

28  Feb. 
31  March 
31  Oct. 

15  Sept. 
15  Sept. 

31  March 

K 

li-sl-s   ^U 

■^^U.^^      OmO 

L-J  =  31  ^  —           -*  Ol'-* 

(Mi*         M  —      .  — 9)<-4 

March 
March 

May 

June 
Octobe 

H^ 

April 
May 
Jan. 

May 

Sept. 

Sept. 

_,„_.^^      „ 

sssaa  ssa 

cj  .^  ji  b  ^        u^C  ^ 

1 

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»  ■*  X  o  o      ,  O  »  !0 

&d6S      a. 

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1 

Nov.  to 
Sept.  to 
Sept.  to 
Sept.  to 
October 

April  to 

1  15  Sept. 
1  15  Sept. 
!     5  Oct. 
25  June 

15  Sept. 

U  April 
.^IMar. 
.31  Mar. 

H 

Mmi 

June 
June 
April 
Sept. 
June 

Dec. 
Oct. 
Oct 

1  25  April  25 

1  26  May    26 

8  Feb.     11 

25  April  1 5 

12  May     26 

do. 
15  Oct.      27 
15  Oct.      29 
15  Oct.      29 

1 

Feb.  to 
March  t 
May  to 
June  to 
May  to 

Oct.  to 

~ 



u 

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[110] 

Experiment*  in  Walartaff  Cr&pi  qf  Wknnt  and  Riee  o»  rt*  Avf  ■ 
Doab  Otnol,  by  E.  0.  Palafr,  O.K.,  i"i»  1871. 

The  avernge  of  the  erperimente  niado  and  labnlated  show  tlnl 
ftvorage  depth  of  0-24  feet  on  the  wliole  surfooe,  represpnts  b  tbi 
watering  of  Ihc  average  soil  of  the  district  nnder  conBideration, 
foreaniiy  soils  031  feet,  and  the  Rraonnt  of  water  netwMaiy  for  I 


average  watering  of  one  a 

Wheat  in  a  dry  season  n 
paring  the  land  for  plougbi; 
standing  crop  of  80WJ  cnbic 
aary  for  each  acre  of  wheat 

Rice  requires  ten  flood 
eikch  flooding  is  the  ami 
average  of  which,  given 
feet  of  standing  water '.  u 
reproBetits  the  quantity  o 


'  43  5i'.0  =  10  454  cubic  firt 
I  waterings ;  the  first,  for  pit 
lO  pnbic  feet,  and  funr  for  d| 
42  i>00  cnbic  feet  in  eJI  dm* 

Tionnt  of  wat«r  neccBMKj  H 
iry  to  saturate  the  mil,  fl 
)  24  feet,  together  with  61 
'^  feet  in  depth  over  anK 
,  or  0-76  X  43  500  =3261 
cubic  feet ;  and  the  quantity  necessary  for  a  crop  of  rice  is,  tlierefoWi 
320  "00  cnbic  feet. 

The  land  nnder  consideration  principally  consisted  of  holdiops 
an  average  of  52  acres,  requiring  22  acres  of  Kharif,  and  30  of  lUbh 
irrigation ;  for  such  a  farm  an  irrigating  outlet  or  pipe  04  feet 
diameter,  working  under  a  head  of  0'4  feet,  was  found  Bnfficieot;ttii 
dificbarge  being  0'3323  cubic  feet  per  pecond,  and  allowing  the  fcnnB 
eight  days  to  prepare  hia  22  acres  of  Kharif  ploughing,  and  elevfli 
days  for  the  30  acres  of  Rabbi  ploughing.  Aa  the  beat  season  for  tw 
purpose  lasts  about  six  weeks,  ond  the  outlets  are  allowed  to  fio«'li« 
eight  days  in  the  month  at  the  utmost,  this  arrangement  fJlo"* 
t-jvelve  days  of  constant  flow  during  thftt  season  ;  and  thos  a  Binj* 
pipe,  irrigating  only  27  acres  per  day  of  twcntj--four  hours  for  plotp 
ing,  or  5'4  acres  of  standing  crops,  is  snfiicient  for  all  tli 
required  in  keeping  up  the  irrigation  of  a  holding  of  52  acres. 

These  data  are  apparently  in  support  of  the  amount  mentioned  i" 
Qlficial  returns  as  the  average  supply  per  ncre  given  on  the  Ban  D"*" 
Canal,  44000  cubic  feet;  the  latter  probably  including  also  ringle 
waterings  over  a  certain  amonnt  of  acreage. 


[117] 


'•• 


The  Canal  Plantatiotu  of  the  Panjab, 
Western  Jamna  CanaL 

r  Babal'-Acacia  arabica 
1 — Dalbergia  sissa     ... 

;  Mulberry — ^Morus  alba       

/ecijneia  Luna    •••         •••         •••         •••         ••• 

-Sizjgium  jambolannm 

— Melia  azedarach     

Acacia  speciosa 

-[Elena  cnnia    •••         •••         ••• 

Ax^acia  leacophlcea 
boidarachta  Indica    ... 
Bambnsa  stricta 
ftiangifera  Indica 
b  China — Moras  tatarica 
Ficns  religiosa  •.% 

meous  of  80  descriptions 


Numl 

ber  in  1872. 
394  718 

•  • . 

119  611 

•  •  • 

72  626 

a '   . 

33  789 

•  •• 

17  214 

•  ••' 

16  764 

... 

16  870 

... 

11  755 

... 

7  205 

... 

7152 

.  •  a 

4  911 

•  .• 

3  774 

•  .• 

2130 

.  •  . 

2  004 

Total  of  all  sorts 
Giri  Doab  Canal. 

809  797 

Bj 

n — Dalbergia  sissn 
-Acacia  arabica 

••  • 

... 
••• 

1 

>fnmber  in  1872. 
...       451 566 

...      173124 

•••         •••         ... 

... 

••• 

71710 

I  y          ...          ... 

•*• 

• .  • 

54458 

Ax^cia  speciosa 
])edrela  tana     ... 

•  *  • 

... 

... 

47  292 
31853 

...         ...         ... 

... 

•  •« 

16  735 

Prosopis  spicigera 
et — Ficus  caricoides 

... 
••  • 

... 

11651 
9  760 

1            •• •         ... 

•  •  • 

•  *  • 

6178 

— Pmnus  padus 

••1 

... 

4  887 

— Melia  sempervirens 
•Dodonnoea  barmaniana 

... 

••• 
... 

5  066 
4850 

jizypbns  flexnosa 

• .  • 

••\ 

••• 

4  689 

—Bombax  heptaphyllom 
uieous  trees  of  83  descriptions 

... 
••• 

8  013 

••• 

Total  of  all  sorts      955  567 


I 

J 


(118] 

The  Cropi  of  Oritta  and  their    Wateriagt. 
The  Lato  Crops,  watered  between  June  I  and  December  1  >— 


On  pfluod  from 

Ongnranjfn* 

1.  Sartid  rice       ...  April  to  Feb. 

3. 

Laghnrice      ...  MaytoNm. 

2.  Bijali  rice        ...  May  to  Oct, 

On  groniid  from 

Ongnadfaa 

1.  Sngar-cano      ...  April  to  Jlnr. 

?■ 

Yams        May  tc  Fab, 

2.  Tnnnerio  and  )     . 

wand  plantain  AVhdejcu. 

The  Early  Crops  watered  1 

mber  1  and  June  1  :— 

OngKBii. 

On  peand  bw 

1.  Dalna  rice      ...  Feb.  to 

•obaeoo  .        ...   Kov.  to  Apr- 

•2.  Wheat    Nov.  tc 

Jori&uder      ...  Oct  to  Feb. 

•S.  Barley 

•4.  Gram  and  peaa       „ 

>nionB    and  l    „            , 

6.  Achuu  cotton     Nov.  U 

chua  castor  oil  Nov.  to  Feb 

The  Diy  Crops  not  requiring  ..  ■ 

&■ 

are: —                                  ^ 

Late  Crt>}m. 

Earlg  Cropt. 

1.  MimdiiL. 

1.  Wbite  kuUhi, 

2.  Birl  pulse. 

3.  Bluck  kultUi. 

2.  While  rang. 

3.  Harar  chaitra. 

4.  Jlustard. 

4.  BliLck  mng. 

5.  Linseed. 

5.  Jute  and  hemp. 

Both  Season  Orvpi. 

6.  Haldiya  cutloti. 

1.  Harar  nali. 

7.  Hnldiya  castor  oil. 

•2,  Til. 

TolseB  generally. 

N.B. — The  crops  marked  •  are  n 

»rely  c 

nltivated. 

The  nsnal  rotation  of  the  dry  t-rops  is,  1st  year,  Biyali  rice  (whict, 
like  Laghu  rice,  can  be  prown  without  irrigation),  followed  by  pulses 
kalthi,  mng,  linseed,  or  mnatard  ;  2nd  year,  cotton,  tonneric,  ginger,  or 
aagar  ;  3rd  year,  follow. 

The  conntry  cotton  is  an  annual ;  of  oil  seeds,  castor-oU  is  the  only 
one  that  profits  from  irrigation  ;  pulses  and  linsoed  suffer  from  rBin; 
ginger  anil  turmeric  require  only  one  or  two  waterings  ;  sugar-cane  is 
Bometimes  planted  as  early  as  f  ebnury  and  cut  in  K^ovomber.  There 
is  a  coarse  species  of  rioe  grown  in  swampy  tracts  called  boro  dbaii- 
The  yield  of  Somd  rice,  the  staple  crop,  is  said  to  be  donbled  bf 
irrigation,  and  amoant«  to  10  cwt.  per  acre. 


t  of  Water  required  Jbr  tke  Irrigation  of  Bice  in  Orma,  jro» 
the  Experimenlt  of  Mr.  Jamea  Kiinher,  C.E. 

I  Balagnrriali  Plot  of  51'3  acres  was  irrigated  by  means  of  & 

L  Toot  square,  and  a  field  ohannel  700  feet  long  thorefroia.     The 

■tents  were  initde  in  the  year  18/2,  irhich  had  a  total  rainfaJI 

irrigating  season  of  53  inclics.     From  the  7t!i  to   14th 

P,872,  the  water  ran  with  '5  foot  depth  in  channel,  and  a  head 

,  the  discharge  for  those  seven  days  being  9G.5  584  cnbic  feet 

)  cubic  feet  per  second;  gauge  readings  being  made  four  times 

ron   eiich  side  of  the  field  sluices.     Tbe  readings  reduced  and 

1  averaged  to  give  a  mean  daily  head ;  from  this,  the 

t  of  opening,  and  the  number  of  hours  open,  the  daily  dis- 

8  calculated.     The  total  results  were  thus : — 

I  wnonnt  of  Witter  given      2  885  00(i  cub.  ft. 

lirrigsted        2  368  028  sq.  ft. 

Aniit  of  water  represented  vertically  1-213  feet, 

amber  of  hnors  irrigating         ...         ...  ...      674  hoars. 

uty  during  actual  irrigation  of  1  cnb.  ft.  per  sec.     4(5  acres. 

frtnal  duty  on  the  area  of  1-19  cub.  ft,  per  sec.  54-3  acros. 
Bimilar  expcHincut  was  made  on  the  Srimuntapor  Plot,  but  in 
hislanco  nearly  doable  the  water  actually  needed  was  used  in 
nler  hi  obtain  as  much  silt  as  possible ;  this  then  gave  a  duty  daring 
ctoal  irrigation  of  1  cubic  foot  per  second  to  38  acres  over  forty-eight 
nys. 

[n  the  former  caeo,  however,  the  irrigating  period  was  074  hours,  or 
wcmly-eight  days.  Now  the  worka  generally  are  designed  to  give  tha 
uno  quantity  of  water  bnt  spread  over  120  days,  hence  each  cubic  foot 
f  water  from  the  canal  might  be  made  to  do  'j'jf  =  4  times  the  duty 
hown  in  the  present  experiment ;  and  taken  this  way,  the  daty  capable 
f  being  efiected  would  be  4  x  40  =  184  acres  per  cubic  foot  per  sccuid  ; 
r,  taking  an  average  of  the  two  sets  of  experiments,  of  which  the  latter 
»ms  of  little  valae,  in  combination  with  Ihe  former,  of  152  acres  per 
ohic  foot  per  second,  Bnt  an  average  of  tbia  sort  cannot  so  well  be 
etermined  from  an  isolated  plot,  as  it  could  bo  from  utilisation  of  the 
'hole  of  the  discharge  of  a  completed  distributary.  The  most. useful 
»alt  in  this  case  was  the  absolute  amount  of  water  per  acre  taken 
■om  the  channels,  which  was  ?J.h*oii«  =  53  40C  cubic  feet  in  the  firat  | 
ue,  and  very  nearly  double  that  in  the  aeoond. 


H^^^^^H 

^ 

■ 

■ 

■ 

Tke  Unirrigatei  Crop*  tf  Bmvr. 

TT*i»l  i*t* 
of  wxrinc. 

i 

1 

1 

1 

1 

1 

na  Jmrat  Khuif,  or  ttzlj  drj 
cmpa. 

an-. 

Dw 

IbL      Ik 

t  Cotton,  GoBsypinm  hor- 

ba«nm    fl 

120 

150 

iix)  m 

t  Jowftri,  HolcuB  aorghnj                         7 

120 

160 

m  a 

t  Bajri,  Holcus  spicalua                         4 

00 

105 

m  m 

Til,  Sesamum  oriental                          7 

90 

105 

m  m 

t  Rice,  Orifw  Buti™       .                          5 

i;o 

105 

m  w 

Aiubari,  Hemp    ...     .                          3 

90 

120 

eObmOi 

Baru,  Flax ,                        2 

60 

90 

IWtaOi 

tBhsdti 5 

60 

75 

120 

Math    ..                      5 

90 

105 

8) 

Holag ,                        S 

90 

120 

80 

•  Udidh 

7 

90 

105 

m  •, 

•  Hag,  Phaaeolas  mnngo 

10  JQiJ 

i 

105 

120 

300 

*Tar       

' 

5 

90 

120 

180 

t  Ginger,  Zingiber  oflici- 

July 

12 

?00 

1000 

UW) 

Hed  pepper,    Capsicum 

Th*  itmjtX  Ekbbi,  DT  l4t«  drj 

cropi. 

tWieat,    Triticam    vnl- 

t  Tobacco,  Nicotiana  ta- 

22  Sept 

5 

105 

135 

200   3JI 

bacum      

Sept 

8 

90 

160 

200  « 

Kardi    

26  Sept. 

5 

90 

135 

120 

Lakh         ■ 

fl60 

Gram,  Cicer  arietinnm 

160 

Juwfls       

Marar,  Errnm  leas      !" 

9  Oct. 

5 

105 

135 

80 
■     80 

tVntana     

Giuimol     J 

160 

80 

Hongh  data  of  increase  of  yield  to  the  above  crops  by  imgatiM. 
Jowari,  one  half  more.  |      Rice,  foor  times  more. 

>  one  qaarter  more. 


BajH,  one  quarter  more. 
Til,  one  half  more. 


SmM" 


[121] 


The  Irrigated  Crops  of  Barar. 


kjat  or  Wet  Oropt  grown  on 
ti  perpetually  iir^^ated  or 
pi  damp  by  run. 


Usoal  date 
of  lowing. 


Be,  Zea  mays 

per,  Capsicum  perenninm 

gan  or  Brinjal 

limng       

ja,  Cannabis  satiya 


•••     •••     ••• 


•••     ••• 


5 


OQ 


I 

g 


Produce  per 
acre,  eiLcIuding 
straw,  &c. 


••• 


IJnly 


on,  Allium  cepa      

lie,  Allium  sativum        .« 
lii,Trigonella  fenugreecum 
rots,  Daucus  carota 


id 


•••     •••     •••     ••• 


um,  Papaver  somniferum. 

gmurla    •••     •••     • 

?ura  •••     ...     ••*     •••     ••• 

eat,  Triticum  Yulgare     ... 

^ar-cane,  Saccbarum  offici 

narom 

ig  of  Goor 


91 


25  Sept. 


9> 


INov. 


•••     •.•     •••     •.• 


•••     •••     ••• 


md    ... 

•li 

"ai      •••     •*.     ••*     *•*     *** 

9!^aia  ... 

iwala 


•••     •••     ...     ••• 


•.•     •••     ..•     •••     ••• 


•••     ...     •••     ••• 


9> 
f} 


Days. 
5 

7 
7 
5 
8 

7 

6 

7 
8 
8 

5 
5 
6 
5 


Mareb 


ntain 

I,  Piper  betel 

lit  trees 


.«     •••     •••     ••• 


•••     •••     •••     ••• 


•••     •••     ••• 


...     •••     •••     ••• 


»» 
•» 


23  May 


••• 


Days. 

75 
105 
120 

90 
150 

37 
37 
30 
75 
135 

75 

75 

90 

105 


Days. 

105 
370 
370 
120 
150 

120 
120 
120 
75 
135 

90 

90 

120 

120 


12 

7 
7 
7 
8 
5 
5 


••• 


••• 


300 
37 
40 

75 
90 
90 
37 

360 

••• 


300 
75 
80 
90 
120 
120 
75 

450 


Average.  Max, 
lbs.       lbs. 

100 
2000 
4000 

800 
1600 


••• 


••• 


... 


••• 


••• 


1200 


10  20 

..•  ••• 

240  ••• 

300  ... 


1600    7500 


•*. 


••• 


••• 


400  trees. 


•*• 


••. 


••• 


•*. 


[ISS]. 


Well  Irrigation  in  Barar. 

1.  The  following  crops  are  watered  datljr  in  fie  Iiot  Bsason,  aoil  it 
intemlB  of  from  one  to  Bevcn  daja  tlirongliCFiit  the  reat  of  the  yecr 
aa  reqnirtd  ;  Engar-CBne,  pan,  ptanl^n,  bengau,  sng,  bliaji,  and  greea 
Tegetablo  produce ;  when  the  angar-cBae  is  one  foot  high,  the  mpplf 
of  w»ter  is  reduced. 

2.  The  followiBg  crops  arc  watered  once  in  three  days  in  tbe  hrt 
ind  at  intervala  of  fron  seven  days  tLroughost  tbe 

m,  onions,  garlic,  ptrennkl 
,  cbika,  cbakut,  sangciuiwaii, 
hie  gardonB. 

e  in  three  or  fonr  days  at  tS[ ' 
>ric,  ginger,  ratala,  goradn, 


moe  a  week  generally :  Mng 
ala,  aangmurla,  and  rajgm 
t  fifteen  days;  maiEc,  tlim 
reok  ;  older  trees. 


reat  of  tlie  year  as  required  : 
pepper,  bhoimug,  fenugreek,  Ca 
and  the  common  produce  of 

3..  The  fo)lowii)g  crops  arf 
oeasonB,  guncrally  :  aiiise,  e 
pendia,  wnngi. 

4>  The  fallowing  crops  e 
of  goor,  bbend,  karli,  tnrai, 

5.  The  remainder  are:  wub. 
waterings  to  tlie  crop  ;  yoniig  Irnit  trees, 
four  or  five  times  a  year. 

The  ordinary  condition  of  tlie  irrigation  in  Berar,  is  thas : — 

The  wella  hnve  an  average  depth  of  30  feet,  and  are  eacL  worked 
by  one  pair  of  bollocks  for  nine  hours  daily,  which  raise  a  leather  bag 
(mot)  containing  SOU  lbs.  of  water.  They  can  thus  water  half  an 
acre  daily  well,  but  for  a  continnance  cannot  keep  watered  more  tban 
3  acres  of  ordinary  irrigated  crops.  The  prime  cost  of  a  common 
onrereted  well  is  £30,  the  bulbckg  ilb,  gear  £5,  ina11£oO:  thediil; 
expeDditnrc  is,  feed  of  bnllocka  Is,,  labonr  of  two  men,  at  Is.  eaA, 
in  idl  3s. ;  or  about  £50  a  year. 


Produce  of  Crops  at  the  Experimental  Farmi  in 
Yield  of  clean  cotton  in  lbs.  per  acre. 


,  1870. 


mraoU. 

SheagMii. 

Pmmoti.  81n*g*«- 

1S4 

ee 

Hinghanghat 

..   180           h(, 

66 

150 

Dhfirwar  ... 

..     14          2-t 

Manured  land  yielded  430  lbs.  of  clean  cotton  per  acre. 
The  followuig  were  the  yields  of  other  crops: — Jowari,  538  lbs.; 
wheat,  745  ;  gram,  312 ;  muth,  300 ;  linseed,  278 ;  peas,  408  lbs. 
In  ploughed  land,  jowari  yielded  660  lbs. 


[123J 


r  Oropi  of  rte  Madrat  PrcsiJency  and  their  Seatong. 


Sorghum  vnlgare 
Penicillaria  spicata     .. 
Peniaetnm  italicura     ... 
PBnicum  miliaceum    .. 
Triticum  valgare 

Oriza  saliva 

CfyanoB  indicos 

Cicer  arietianm 

Phaseolus  aareos 
Phoseoliis  tnungu        ... 

Phaseolua  aconitifolius . 
Indigorera  tinctoria    ... 

Curcuma  longa 

Ziugibov  officinale 

Rubia  cordifolia 

Cartliainua  tinctorius... 
Papaver  aomnifcmm  ... 
Nicotiana  raatica 


Corchorua  capsnlaris 

Linum  nBitatiasiiuDin 
Crolatuxia  pincea 
HibiscoB  canoabinua  .- 
Rici 


September 

September 
July  ... 
July  ... 
July  ... 
July  ... 
July  ... 
July 
July 

September 
September 


...  SinaptB,  three  varielii 

...  Sesamam  orientalu 

lilli      ...  Coriaudram         ... 

...  CucurbiCa  maxLma 

...  Tricosanthus 

„.  Tngonella  fomngrHinr 

,m...  CitrulIuB      

...  Cucumis  sativus  ... 

...  Cncumia  me!o     ... 

...  Anetbuia  airwa  ... 


Dec 


November 
August  ... 
September 
October ... 
November 
October  ... 
January.. 


Cotia 
December. 

January. 

January. 

December. 

October. 

October. 

April. 

February. 
December. 
December. 
March. 

March. 

February. 

February. 

February. 

March. 

Mai-cli. 

A,,ril. 

January. 


Six  mcnths  at  aay  time. 


August  .. 

Auguat ., 


Spptember 

January... 

December 

July        ... 

July 

July        ... 

February 

December 


Maj^h. 

March. 

November. 

Fiibroary. 

March. 

December. 
December. 
October. 

July. 
July. 

March, 


t  tort*  of   rice  ure  grown  in  tb«  Madrus  Prcaideacr :   one 
anoUiirr  is  Ufl  a  long  time  (Uading ;  bnt  that  abore-mctitiaiiMl 
U  period  being  coiDcident  wilb  Llie  nin;  EeasoD. 


et>]<l 


tl2*] 


WATER   RiTES   AND  WATERINGS. 

The  Pahjab. 
On  the  Sari  Doab  Canal,  from  1862-63  to  1669-70. 
For  all  crops,  per  acre  per  crop       ..,         2r.  6a.  8p.  or 
Lift  irngatioD,  one-luilf  tXe. 


1.  Sugar-cane,  per  acre  f  ...         ... 

IL  Rioe,  ]ier  acre  per  cro  ...         ,,,         ...  i 

Garden  produce,  per  i  tar  ) 

III.  Kbbrif  crops.      Coti  igo,  turmeric  Besa-  ^ 

naam,  watcmutB,  i  ards,  fruit  trees  ...  1 

Rabbi  crops.      Whe  ted  grain,  linseed,  [ 

Barru,  taniniirB,  mustard,  opium,  tobacco,  tuklimba-  i 
langa,  eiiftiower,  chillies,  vegetables,  per  acre  per  crop  i 
TV.  Kharif  crope.     All  millets,  maiee,  and  crops,  not  else- 
where mentioned 
Rabbi  crops.     All  palses,  all  grasses,  fallow  lauds,  and 
crops  not  elseirhera  mentioned,  per  acre  per  crop  ... 
V.  Single  waterings,  and  Habbi  crops  not  requiring  water 
alter  December,  per  acre  per  crop     ... 
For  lift  irrigation,  onc-balf  tbo  above  rates. 

Aver«g«  suppljr  per  tuoro,  44  000  cabio  feet. 


On  the  Wettem  Jamna  Odnal,  from  1862-63  to  1866-67. 

M.    i. 

On  all  first  class  lands,  per  acre  per  crop         2    3t 

On  all  second  class  lands,  per  acre  per  crop     ...  ...         I    4 

For  lift  irrigation,  two-thirds  the  above  rtktes. 
Since  1866-67  the  rates  have  been   identical  with   those  of  the 
Qanges  and  Eastern  Jamna  canals. 

On  the  Delhi  and  Qurgaon  Irrigation  Work*,  from  1862  to  1870, 
the  rates  were  for  grass  crops,  per  acre,  5d. ;  and  for  all  otiiar  cniF*r 
per  acre,  9\A. 


The  North-west  Protinces. 

jea  and  Eagterit  Jamna  Canals,  from  1862-63  to  1865-66. 

■.     d. 
igar-cane,  per  acre  per  year 8     9^ 

■ait,  nnraery  and  vegetable  gardena,  all  cultivated 
grasses,  rice,  waternuts,  ajaweo,  and  similar  herbs, 
per  acre  per  crop  ...  ...         ...         ...         ... 

Indigo,  cotton,  tobacco,  wheat  and  oats  (Rabbi),  per 
acre  per  crop 

Barley,  all  pnleea  and  millets,  maize,  safflower,  oil 
seeds  (Kharif),  per  acre  per  crop 

From  1865-66  to  1867-68. 

irdens  and  all  lands,  taking  a  perennial  sapply,  were  transfei 

I  Class  II.  to  Class  1  ;  and  the  rates  then  became  for  Class  Li' 

Od.;  II..  6a.  Od.;  HI.,  4s,  6d.;  IV.,  38.  4d. 

[nee   1867-68,  the  fruit,  vegetable,  and  narsery  garden  prodi 
tavebeon  transferred  again  into  Claaa  II.,  but  the  rates  for  thi 
Oasses  have  otherwise  i-emained  the  same  as  before.     For  lift  irriga- 
n'op,  the  rat«3  have  always  been  two-thirds  of  those  by  flow. 

The  other  soorcea  of  revenue  are,  for  watering  cattle,  12s.  per  100, 
KT  year  ;  sheep  and  goats,  4s. ;  supplying  tanks,  rent  of  com  milla, 
■le  of  grass,  timber,  fuel,  and  (rnit,  fines  for  trespass,  &c. 

Bypr  garden  produce,  sugar-cane,  and  firat-clasa  rice,  2s.  6d.  per 
B.crop  ;  for  tea.  Is.  3d. ;  for  wheat  and  inferior  rice,  li 

tr.  F 


-Dun  Cmah,  from  1862-63  to  1865-66. 


\ 


■m  18G5-Cfi  to  lS67-f 

B.      .1. 

Tea,  angar-cano,  garden,  and  perennial  watering,  per  year  10  0 

l-Hrst-clnss  rice,  tobacco,  opium,  and  watemut,  per  crop  6  0 

II.  Indigo  and  cotton     per  crop  4  6 

"Y.  Inferior  rice,  wheat,  oats,  and  other  crops...         per  crop  2  6 

From  1867-68  to  1871-72.  tea  and  sagar-cane  remained  in  Class  I-, 
,he  garden  and  orchard  produce  being  tranaferred  to  Class  II.;  bfl; 
r  the  various  classes  remained  analtere 


■r 


[126] 

SinM  lH71-72>  the  nto  for  t«&  baa  i 
watering ;  leaving  snt{ar-o&Rc  alone  in  Claas  I. ;  the  ratc-s  C 
prodnoA  on  somi)  of  the  Diia  cnimlti  has  been  lowered. 

Fbr  litl  irrigation,  the  rates  have  been  alwayt)  two-tbirds  of  tt 
Inflow. 

Bokilhand  CemaU  y^t 

L  Garden  and  orcbard per  crop  4 

H.  Sugar-cane,  tobacco,  opium  and  watemut,  per  first  watering  I   0 


m.  All  eerealH,  pulses,  and  ( 

...     per  first  watering  fl  H 

In  Classes  ri.  and  III.,  hal 

For  lift  irrigation,  the  r»t« 

those  for  Sow. 

The  rmmber  of  vaterinf 

n  the  Kaginab  CaniJ  is:- 

per  year     8  waterings. 

Hemp        

per  crop     5         „ 

Bice,  Bagaroani?,  ind 

Oaltivat«d  grasa«§  i 

per  crop     4 

Cotton,  cereals,  and  p 

per  crop     3          „ 

NATiOiTiON  Tolls  is  No 

^TUEBN   IkHLI. 

The  Wftlern  Jamtia  Canal  transit  dues  are  tabalatcd  according  to  » 
most  complicated  code,  the  rates  for  various  sorta  of  timber  varyir^ 
from  Is.  3d.  to  k\  per  score  for  the  whole  cooree  of  the  canal,  with  *• 
rednction  for  intermediate  distances;  the  rates  hj  weight  being  aboit 
6d.  per  ton  for  the  whole  course  of  the  canal. 

The  Bari  Doab  Canal  transit  does  are : — 
For  rafts  of  all  sorts  of  tiiaber     ...     l^d.  per  £10  ralne  at  starting. 

For  rafts  of  bamboos  }d.  per  thousand. 

For  rafts  of  firewood,  hemp.  Box, 

and  grass Jd.  per  4  tons,  or  100  mans. 

For  raftis  of  reeds,  sirkanda  ...       Jd.  per  thousand  bundles. 

The  GangM  Canal  transit  does,  dnce  1672,  have  been  :— 

For  boats,  per  month 9    0 

Bafts  of  logs,  par  mile             per  100  ooblc  feet.  1} 

Bafts  of  sleepers,  &c,  per  mile         ...               »        »  i 

Baft«  of  bamboos,  per  mile   ...         ...               „        „  i 

Bafla  of  firewood,  per  mile per  1000        „  | 

S^a  Sattem  Jamna  Canal  n  ivrj  ^U\a  ^leA  ten  xa^ngJaaa. 


[187] 


Water  Ratks  and  WiTEHtuas  in  Southken  Indu. 


tAt  Bombatf  Presidency  there  ie  generally  a  combmed  land  i 
1  RSsSHRniDnt.  The  canala  are  divided  into  three  Borts,  a 
lafied  according  to  depth  of  soil,  in  cubits  of  IS  inches,  and  v 
■rapect  to  their  special  advantages  and  disadvantages.  So  advantaj 
•  considered  to  arise  from  more  than  two  cubits  in  depth  of  eoil,  i 
auinot  imbibe  and  retain  more  effective  moistm-e  ;  the  disadvantafje 
■ken  into  consideration  are  the  presence  in  the  soil  of  kankar,  cofl 
■rad.  loose  or  stiS*  soil,  excess  of  moisture,  and  liability  to  be  flooded, 
n  A  moist  climate  the  better  and  ivoree  descriptions  of  land  are  con- 
dered  more  on  a  par,  the  latter  benefiting  more  from,  moiatore  than 
le  former. 

The  general  osset^sment,  per  acre 

I  For  nniirigated  or  dry  crops 

p  ordinary  irrigated  or  garden  crops 
r  special  irrigiited  crops  in  some  phi< 

k  rates  allowed  on  the  Mnkti  project  are : — 
VoT  sagar-cane,  50s. ;  for  rice,  203. ;  for  wheat,  10s.  per  acre. 

1  those  allowed  on  the  Lakh  project  and  Bhatodi  tank  are : — 
■  Tor  perennial,  or  12  months,  irrigation,  per  acre     18a. 

B7or  wet  and  cold  eooson,  or  8  months'  ii 
'  For  mansim,  or  i  months'  irrigatio 


ITie  amonnt  of  watering  c 
Itlvation  is: — 


dered  necessary  per  square  yard  < 
i  cnbio  yard. 


fc  For  rice  crop 
Hpor  BDgar-cano     ... 

B.  good  well  will  keep  irrigated  from  four  to  six  acres  of  inferia^ 
irden  crop. 

In  lie  Madraa  Presiilfncff  there  is  generally  a  combined  land  i 
rigation  asaessment.     Tlio  consolidat*^d  revenue,  inclnding  the  n 
,te,  is  two-fifths  of  the  value  of  the  produce,  but  is  sometimes  lea 
K:to  the  market  price  of  rice. 


H^^^^^^l 

[128] 

1.     <!.        ■.     1« 

For  anirrigttted  or  dry  cropa 

*   0           ] 

For  rice 

9    Gta\€  jA 

Sngar.ftttltemiiemtio,  iroulilbesometimeaasmacliaa               120    ll 

The  water  rate  ullowed  by  Goverument 

on  the  Turn-                           1 

bftddraC»ii»l  of  the  Irri^tion  Company  ia            ...  10    0  to  IS    fi| 

In  Itftimir,  the  general  rat«  per  acre  ia 

12     OtolS    ff 

The  general  allowance  of  water 

ce  crops  in  the  Madi-aa  Prem- 

dency  is  1  cubic  foot  per  second  < 

y  to  40  acres  ;  to  sagsr  taaa, 

gram,  pUntoiD,  and   garden  c 

to    120  acres;    ordinary  field 

orope  are  rarely  grown  in  place- 

rrigation  is  available. 

When  comparing  the  water 

roguo  in   different  parts  of 

India,  the  averai^o  wagoe  of 

bonror,  or  coolie,  ehonld  fat 
ximate  data  ^— 

borne  m  mind.     The  followir 

In  Xortbem  India     .. 

.„     3d.  to  4id.       ,^ 

InBarar         

...     6d.    to9d. 

In  the  Bombay  Presidency  ... 

...     6d.    to9d. 

In  the  Madras  Presidency     ... 

...    2id.  to3!d. 

InMaisur        

...    3d.    to6d. 

[129] 


DuoMRioii  tiTD  Amlisib  or  Watir. 
n  o/  SUtptr  100  000  port*  of  water  brought  dou*  by  tariou$  r 
{BeAued/rom  Htjptoo^t  taHt.) 


MeuFnportimi 

m^" 

Uini. 

Antboritj. 

t&nr. 

A 

Bj 

wdght. 

,a|i. 

Bsi]^  tt  Camdton... 

20 

CO 

MiM.  D.  anrrey. 

at  Colambiu  ... 

40 

7U 

... 

..       .. 

at  the  mrraths... 

« 

BO 

Ur.  Meade. 

., 

*  91 

68 

... 

Mr.  Sidell. 

atNewOrteue 

S3 

8T 
1S8 

Pro£  Ridell. 
Mr.  Homer. 

u  1874           

... 

... 

140 

7 

Mr.  Fowler. 

iw  River,  China      ... 

... 

333 

SitG.SUunton. 

.«•      

fl« 

100 

Mr.  Ererest. 

tili,  at  CalcuUa 

08 

138 
470 

26 

Dr.  Macaamara. 
CoL  Tremenheere 

radtU 

333 

33 

66 

17 

Mr.  Login. 
Mr.  Tadini. 

le,  atLJoDs 

fi 

Mr.  Sur^ll. 

at  Aries 

BO 

4^15 

U 

M.  Subour. 

at  Bonn 

0 

8 

6 

Mr.  Honier. 

nne 

IS 

IB 

76 

... 

Mr  BaumgarUn. 

w       

10 

21 

07 

- 

a,  at  Boaen 

a 

4 

... 

M.  Marchal. 

">       

4 

10 

0-8 

- 

itbe 

a 

... 

U.MarohaL 

-.-t^ir       

... 

1 

4 

(11 

Hi.LtaMiR. 

_ 

I 

[13 

I^H 

■ 

^H 

'] 

^B 

J>a/fnt  0/  |A«  Water  a»d  Sitt  of  ll>t  ifOe  b,  1874,  by  i?^.  Z^tMf 

JbIjIO. 

&axBMl2 

Sepi.SO.|or 

O^IIM 

0-OOM 

0-0100     U 

o-oioo 

0-0071 

0-fllTl     » 

I 

^ . 

G-1I3 

4.423 
1-030 

4-afi(i     *■ 

0-917    I  1^ 

U-ffMik     ~.           ~. 

Soda          

fl-7M 

11687 

nsoi 

ni 

1 

rotMsa        ^. 

I'ooa 

1-BOl 

4-121) 

n 

CUoiinB      

O&Sl 

0628 

0-209 

M 

S 

1 

Sulphuric  add 

H'SSS 

1-837 

1-«M 

^ 

rhoqiLoric  odd     ... 

... 

Ml 

a 

Nitric  wad 

noe 

tM 

Silica  alumina  and  oxide  1 
of  iron                              / 

0-701 

0718 

112B 

i-m 

1« 

Organic!  matter      

1000 

1057 

IIM 

1020 

Ml 

L  Carbonic  add  udlosn     ... 

4182 

8-610 

4-281 

4T54 

1» 

ToW  Holid  nuittCT  on  ar^o-) 
nttion                                 f 

80-300 

16-3811 

ie-601 

l»-*« 

m 

0-eao 
eose 

8-114 
e-729 

18414, 
lSO-743 

B-914 
4e-!43 

4- 

fiOU 

17-848 

14fl-lS7 

54-257 

37 

The  average  percentage  of  the  BedimentH;  deposit  from  all  the  above  k 


Ji^anic  matter. 

...     14-61 

PoUBsa 

Phosphoric  acid 

...       1-78 

Sod*      

3ulpbDric  acid 

...    trace. 

A  In™™. 

Chlorine            

...    trace. 

Peroxide  of  iron 

Lime      

...       206 

Silica 

MagneBia          

...       112 

Cubonic  add  and  loaa 

The  Kile  water  owes  its  fertiliidng  power  not  only  to  ths  qoanti^  of  u 
nitroKeaeons  orgnnic  matter,  tl\e  mmbla  dlieates  m  potaasa  and  soda,  m 
ot  phosphoric  andof  lUbic  adAm%kie^(«.VBi.Va,'LiABQ\a'ikMt«u(caB*adaEj 
which  are  charged  with  pUt«pti»tea  mi4  dkalmt  -aoiatea. 


[131] 


HH' 


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[134] 


-J  ?||i  :    £!-;  s!;ss|' 

IS  'ill  i    r-i  -SI-" 

^iiiiii  P  nni  m  ss^«- 

4l|||!i 

s|||ii||i|s;  'i'S  1    PI  ztmp  __ 

4m  '1    si  ^           |sS  SSsi^H  1 

^illllillis  ?            ESS  E!£S£p° 

■iiWilt 

1?   g                fjj    J?J5?|1  1 

■ill  =11-   i^4  S°i  lass's:: 

-3p|3|    is    "-ifl    |2|   S3'iS£2   ; 

-Sjijllj    if   ■^;!  =  |    |23    SS^gSSS   - 

^MiMls;   !^;i  ;   i-i  ii|s?|5' 

-IWII 

S£  *  i  ^  i  ■:    zH  S^  'izh  ' 

-III  ii  |v^  ^""  1   jsi  ii=S»^s 

^lliiii 

ii  5—   tz-  s£p:p 

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£g5|||i|3|j?j|?s| 

till 

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fill 

s^'Hil|2i'?i^2'i 

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^1^11 

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S    S      'i       "S' 

41 

is  ? 

M.   .!|.!|. 

^iiiii 

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^iifciii 

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i-t  =srsii 

>[  1 

44 

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SS  'iill  i?i  mm* 

s  1 

1 

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SS  -"=  i-s  Ig^ss- 

^_ 

^  ilH 

jl  •=|f|=  g?j  IsissS^ 

3 

:    -  \  ■  ;  ;.gg  ;  :  1-  ■  ■  i  ;  i  ;  i 

S|          |S-..        8     2        1     . 

1  jiiiiiiSIt: 

a 

^^^^^H 

^^H 

1 

tl3? 

^m 

[ 

^^ 

mf  AtialyiU  of  Ike  average  Will  Watert  of  Statioai  i 
acatrJing  to  variout  Anal^iU. 

Northern  India, 

Qraioi 

p«g»llDQ.<.r 

1 

h 

»«. 

Piteal 

paiflnTOOM. 

Cbuiutiir  ud 

TdUI 

VoUtne 

Chlo- 

MH           ... 

May   1808 

a7-4 

27 

2-0 

0-60 

Indiffereat. 

h>n 

M»y  18fl8 

18-2 

0-98 

0-8 

OST 

Very  nboletome. 

* 

May  1^06 

123-3 

3-8 

28-0 

... 

VerybBd. 

ilpidl    .. 

Sept.  18B7 

28'9 

8-6 

00 

0-61 

Pure  and  good. 

iHu 

Deo.  1808 

6S-3 

1-4 

8-8 

068 

Veiyljad. 

Inr 

Dec.  1800 

668 

CI 

160 

Good. 

fuUEbm 

Apr.  IBfiS 

BT'S 

1-6 

5-8 

0-47 

Fair. 

luuiKhim 

Mar.  ISOU 

«7 

1-8 

8-7 

002 

Fair. 

1 

... 

7B0 

7-B 

tmk. 

Very  Iwd, 

n 

Dec.  1867 

8if6 

3  0 

10-8 

0-61 

Fair. 



Jill.   18IW 

45-4 

41 

iia 

047 

Bad. 

I»d 

Jan.   1867 

18-0 

1-8 

1-8 

0-17 

Good. 

ftE«i     .. 

Apr.   lt-09 

S4-3 

!i2 

4-0 

0-ft4 

Doubtful. 

^          .. 

Ang.  1861) 

361 

a-6 

6-7 

0-44 

Very  foul. 

laM      .. 

Mar.  leeo 

831 

1-1 

80 

Fair,  but  bard. 

im 

Deo.  1808 

9&-0 

1-3 

2-8 

Good. 

UI 

Sept.  1880 

84-6 

1-4 

4-3 

Hard  and  bad. 

l««       .. 

Sept.  1808 

SU-2 

5-5 

10-3 

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[1«] 

PMAoiMr.— The  drilJdiig'WKtflr  is  obtained  b;  open  canal  fromtti 
rirsr  Ban%  which  also  fills  merrolrs;  the  watar  is  excdleot, 
■ometimM  mitddy  ;  the  MBerroira  ore  frcqaeutly  drained,  bnl  mo 
&t)g8,  ftlso  !^rpk&  an  gnsti  folia,  Potamogcitons  and  CoaferTf . 

Th^  Pnkmwmr  Miarsk  being  Bpecialljr  lenowned  for  iu  mt 
effects,  an  aooocnt  of  the  flora  that  Utrira  there  wilt  thereforo  ba 
iDterest.  On  the  higher  groond,  which  is  covered  with  saline  dl_ 
nacence,  grow  Bevora]  species  of  Salacdacen,  Frsnknia  polTeralndi 
Tamarix,  Salix  Babilonica.  The  ordinary  plants  that  grow  in 
aroaad  the  mirsh  are : — Epilobiam,  oocasional ;  Ljcopns,  Bbimdaat  ii 
parts ;  Lippia  nodiflora  and  Herpetu  monnsira,  about  ditches ;  ntiiofr 
laria,  rare;  Eclipta  ereote,  not  onoammcm;  Bannncnlas  aqoatiliiua 
Bannacnliu  soeleratos,  common ;  l^mnanthemam  cristatam,  a 
of  Liam;  Typha  angostlfoUa,  abundant;  Nelitmbium,  cnltiTatd^ 
Batomus,  rare ;  Ssgittaria  sa^ttafiilia,  Alisma  eqaisetnm,  two 
of  Jancos,  rare,  Of  Sedges,  the  following  are  oommoa  :— Cjrpcai 
exaltstos,  Cypicas  mnoronatas,  3blaooch<»te  pectinata,  Scupus 
timoB,  Carix  Wallichiana,  Gleoduru  paliutris.  The  common 
abontand  near  the  wat«r  are: — Agroetia  alba,  Polypagon  monspeli 
AndropogoQ  Bradlii,  Cj-nodon  dactjlon,  an  Arundo,  a  Saccharam. 
The  following  are  the  floating  and  submerged  plants  :~A  Ceratoplijl- 
lam  (demersam?),  Potamogeiton  crispns,  P,  pnaiUns,  PotamogeiloB 
plantAgenens,  rar« ;  Hydrilla  verticillata,  Uarsilia  qnadrifolio,  Cbaia, 
most  abundant ;,  Nitclla,  occasional ;  Confervee,  profase.  Two  speoM 
of  Biccia,  a  Semno,  and  an  Argola,  are  abundant  in  some  places. 

Zftfl  Welt  Water  of  the  S/ationa  of  ike  Bomiay  Pretidencg. 
Bombay. — Welt  water  brackish,  containing  a  large  quantity  of  limft 
also  sea  salt.     Vehar  reservoir  water  is  coni^idored  very  par«. 

Sallara. — Wells  and  tanks  in  trap  rock  ;  the  gninea  worm  is  funnd 

MalUgaam. — The  wells  reqaire  clearing  from  sediment  once  a  yew, 
and  would  otherwise  become  unwholesome. 

Selyaum. — Well  water  clear,  good,  soft  and  wholesome,  contains 
chlorides,  sulphates  of  lime  and  magnesia,  and  a  salt  of  iron.  Fnc 
from  taste  and  smell. 

Akmadabad. — The  well  water,  after  long  use,  is  apt  to' induce  disttie 
of  the  spleen,  which  the  nver  water  does  not;  the  former  has* 
higher  specific  gravity  thun  the  latter. 


[1«L 

. — Well  water  dear,  soft,  and  of  good  quality ;  it  contailM 
ktes,  phnepbabea  or  nitratea,  nor  an^  Baits  of  lime;  it  an 
—it  cODtftinH  principally  chloride  of  sodium,  also  carbonate 
L,  and  a  faint  trace  of  lime,  but  no  iron. 

tirahad. — Moat  of  tlie  wbHb  are  so  salt  that  Ihey  are  unfit  for  nas, 

■  from  the  same  well  varies  considerably  in  Baltness,  beinj 

mea  palatable,  clear  and  bard  ;  that  (i-om  a  wholesome  well  vta% 

0  contain,  alter  evaporation  to  dryness,  orgaiiic  matter  ii 

Kirtioii  of  1  in  200,  as  well  as  chloride  of  aodium  and  anl 

alumina  and  potaaa,  besides  other  chlorides  and  sulphates.  1 

—Well  water  clear,  agreeable,  devoid  of  smell,  almost  i 

ganic   matter,  with  an    inconsiderable  amount  of  saline  < 

ingredients. 

—Welle  supplied  by  percolation  from  the  tanks ;  water 
md,  sofl,  pure,  nninjurious,  and  eolonrlesx,  when  bltercd  has  a 
c  gravity  of  11300-4  and  contains  30  grains  of  solid  matter  to  a 
r  microscopic  examination  waa  found  ia  contain  no  organi^j 
natter  beyond  a  little  shiny  film.  Tbc  tanks  contain  Flosatjufe,  as  w 
fl  ordinary  grasses  and  rui^hes,  and  among  the  infusoria  the  enca 
aled  amalie  oscillatoria,  and  mdogoniam  ;  in  dry  weather,  when  t 
loaa  decomposes,  the  malaria  is  most  noxious. 

Sural. — There  is  not  a  single  well  fit  for  drinking  from  within  tl 
tation.     All  are  impi-egnat«d  with  sulphuretted  hydrogen. 

Hyderabad  in  Sirid. — The  wells  are  supplied  by  innndation  from  tl 
ndtis.  The  water  is  said  to  be  soft,  good  and  wholesome,  a  fell 
rolls  only  brackish :  yet  the  wells  swarm  with  animal  life, 
noet  wells  in  Sind,  they  may  be  exhausted  by  an  ordinary  Persia 
rfaeel  in  twelve  hours. 

Dhanear. — The  well  water  has  tbe  repntation  of  being  very  good  an^ 
rholesome,  but  also  to  give  rise  to  guinea- worm  among  the  natives,  f 

Diiilin. — Weil  water  good,  soft,  devoid  of  smell,  of  an  agreeaUl 
Mte,  but  of  a  rather  blue  colour. 

Serur. — Well  water  hard,  but  good  and  wbolesoraej  it  contuns  | 
ittle  lime. 

tnagherri. — Well  water  very  good,  as  soft  as  rainwater,  and  fi 
H  taate  or  smell. 

»SD  or    HTPRAm.lC   aXATISTICa. 


INDIAN 


METEOROLOGICAL  STATISTICS 


FOR  THE  USE  OF  ENGINEERS. 


PAGC 

Mean  Monthly  Rainfall i 

Day  Maximum  Rainfall 25 

Humidity  and  Evaporation 31 

Additional  Meteorological  Tables 43 

Remarks 54 

Ouyot's  Table  for  Finding  Humidities         .       .       .       .71 


i 


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(  25  ) 


DAY    MAXIMUM    RAINFALLS. 

LONG  CONTINUOUS  FALLS, 
AND    SPECIAL    RAINFALL    DATA. 

N.B.  There  are  not  any  Day  Maximum  Returns  for  Bengal  Proper. 
Day  Maximum  at  Calcutta  about  5  inches. 


General  data  for  extraordinary  rainfall  in  Southern  India,  exclusive  of 

very  extraordinary  cases. 


c 


9 
O 

so 

J3 


e 

9 

o 

H 

e 


For  the  tbeltered  tible-landi  of  Balari  and  Kadapa 

For  the  average  of  Plaint  like  that  of  Tinnevelly, 
Ramnad>  Trichinopoly,  Eastern  Coimbator, 
and  Western  Tanjor 

For  the  boKS  of  hills  sheltered  firom  the  S.W., 
Imt  more  exposed  to  the  N.£.  mansun  j  and 
lor  a  table-laind  like  Maisar  not  shut  out  from 
the  N.£.  mansun 

For  plains  and  table-lands  of  Haidarabad  and 
Nagpur 

For  plains  like  Tanjor,  South  Arcot,  Chinglepat; 
^r  the  plains  of  Oantur,  Nellor,  Rajahmandry, 
Ganjam,  and  Masulipatam  

For  the  hills  of  Kadapa,  Nellor,  Gantur,  Rajah- 
mandry,  Oanjam,  and  Masulipatam 

For  hill  summits  well  exposed  to  the  S.W. 
mansun 


Inches. 


75 

•9 

i-o 

>-5 

i-o 

1*2 

»'4 

2*0 

125 

1*5 

17 

a*5 

»-5 

x« 

a*o 

30 

%'0 

a*4 

a7 

40 

30 

3-6 

41 

60 

37 

45 

5*o 

75 

40 


50 


6*o 


80 


12*0 


15*0 


III. — Bombay   Presidckcy. — Special  Rain&ll  Dae 
Day  Maxima  of  Five  Sutioni  id  Ten  Yean. 


.8 

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^ 

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JJ 

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1 

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1 

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1 

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5 

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.  IJ'ofiln. 

a  in  *4  houK  on  md  S«pt,,  lijj. 

April. 

„         „         n  oci.,  184s. 

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■.>».■'«■ 

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.     in,6h..„inj.l,,  ,IJ,. 
,    ini4linunon9Aug.,  tl6g. 

" 

[n<«?).. 

.  I4-00 

(  2;  ) 

V. — North-West  Pkovinces  and  Oudh. 
Day  Maxima  ;n  Six  Years. 


■ 


(19  ) 
VI. — Madras,  Maisur,  and  Curg. 

Day  Maxima  at  Madras  between  1822  and  1857. 


ft 


inches  oo  4th  November,  1822. 
„  29th  October,  1825. 
„  9th  May,  1827. 
„  27th  November,  1827. 
„  3iit  October,  1836. 
„  20th  November,  1836. 
„  27th  December,  1845. 


99 
» 
99 

99 
99 


Falls  at  Bangalor. 
icbes  in  24  hours  in  Sept,  1852. 
in  35  min.  in  May,  1859. 
in  24  hours  in  Sept.,  1859. 
in  24  hours  in  Aug.,  i860, 
in  15  min.  in  Sept,  i860, 
in  40  ndo.  in  May,  1861. 
in  24  hours  in  Sept,  i86i. 
in  24  hoan  in  Nov.,  1861. 


99 
99 
99 
99 
99 
99 
99 


17*00 

20-58 

1145 

790 

6*22 
12*21 


n  12  hours  on  2i8t  October,  1846. 
n  24  hours  on  2itt  October,  1846. 
n  „        4th  May,  1851. 

n  „        4th  November,  1851. 

n  5  hours  on  20th  November,  1856. 
in  12  hours  on  24th  October,  1857. 


18*04  in  24  hours  on  24th  October,.  1857. 

Longest  Continuous  at  Bangalor. 

10  days  in  July,  1859. 

10  days  in  August,  1859. 

10  days  in  August,  i860. 

9  djys  in  August,  1861. 


Dodabetta    4*30  inches  in  24  hours  in  May,  1852. 

Shemuga 2*00      „  „         in  April,  1859. 

Shemuga 4*00      „  „  in  September,  1859. 

Chittledrug 10  days  continuously  in  April,  1859. 


VII. — Minor  Provinces. — Haidarabad  and  Barar. 


larabad  . . . 
I  Station  ... 
I  Town    ... 

lai !!!!!!!!! 

ll 

la    


1863. 


170 


972 


1864. 


00 


2'20 


1865. 


1*90 


3*56 
6-30 

•  •  • 

2*67 


1866. 


2*65 


2*50 
430 

•  •  • 

4*22 


1867. 


2*05 


2*21 
6*40 

«  •  • 

i'6o 


1868. 


274 


287 

4*35 
4-05 

4*59 


1869. 


2*27 


3 '60 

4*53 
3M0 


1870. 


2*00 
4-30 

7*20 

4-65 

•  •  • 

7-40 
491 
4-27 


Max. 


3'oo 
4*30 
7'ao 
4-65 
356 
740 
491 
972 


Longest  Continuous  Falls  at  Sikandarabad. 


7  days  2*32  inches  in  1863. 

6  >9     S'SO      9f        »864- 

O    „      2*11         „  1865. 

7  „     1-17      „         1866. 


5  days  1*53  inches  in  1867. 

7  99     3*»3      99        1868. 

8  „     338      „         1869. 


TABLES   OF 


HUMIDITY   AND    EVAPORATION. 


(  31  ) 

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(  39  > 

Evaporation  Data. 
Bombay,  23  Years. 


m 


76-5 


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(     4»     ) 

^ 

kPORATlON    AMD     CoRRESPONDIMO    TEMPERATURES 

AT  Red-    ^I 

HILL,  Madras.    By  Mr.  Ludlow,  C.E. 

m 

Toul  Evaporation 

Dally  Mean  In 

Rainiill  in 

■ 

inlntbei. 

'"''*"• 

. 

1 

I..«k. 

Heptn. 

l.u»k. 

InoF^i. 

B-ri.. 

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1-39 

o- 

I  

u-ig. 

14,151 

■374 

■476 

117 

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c     

11771 

15-079 

-406 

■500 

1.14, 

559' 

r  

10-079 

tl'ooS 

■317 

■386 

.19 

7'°47 

put.... 

7-10  s 

8-465 

-3sa 

■411 

I-.7 

1-890 

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anj 

5C 

6+- 

"174 

■469 

i-ij 

17-116 

1 

^ 

Tempcnture  of  Water 

Temperanire  of  Water 
in  Tinlc. 

Temp 

...„. 

btHt. 

latfa. 

At  lop. 

A,bO,.=.. 

ln,»u. 

■"- 

ir? 

86s 

S91 

Sji 

lo6-8 

7«-4 

i 

>C1 

79J 

gi'B 
lit -7 

84-1 
Si-o 

8i-i 

78-8 

loi-j 

78-! 
77-1 

m- 

799 

8.-9 

83-0 

8o'6 

97'3 

77-0 

««...- 

go'4 

Ei'o 

S.-7 

So-i 

98-4 

76-6 

"" 

Bi'o 

.■•. 

81-3 

B3-0 

.0.-. 

77'S 

B                        Madiai  Obimvatoiy  EvAPOSATioH  Data. 

V                                    Mondiilr. 

Unr  d^r- 

•413 

■354 

F<bna 

T 'i°S 

Auguit   

September 

October  .. 

■334 
■IBB 

■391 

A^ 

K 

H*                                 Tool  for  rev,  115'g  inchea. 

SepKiDber 

,S±  member.   iBSj,  p.«  rnulo  virymg  belv>«n   i+-g  .nd    JS* 

nchei  i  the 

i 

wiiiioni  beiog  nude  on  60  lanki,  nhots  Kii&cti  vaiied  from  ntii  qnjiie 

of  lo  Kie 

J 

)7  Mto,  and  *hoM  deptlii  vaiieJ  ftom  6  10  iS'3  feel. 

1 

fc_ 

^^^C3 

■\ 

(      4-J      1                                               1 

THE  EVAPORATION  DATA  AND  THEIR  CON.  1 

DI  rlONS  OF  OBSERVATION.                  J 

1 

The  diu  for    Redhil), 

for  Pondicherry  have  beea 

reduced  to  English  mnu 

le  given  by  M.  Lamain^,  m 

Vol.XVIir..fori869.of. 

ej  Poms  «  Chan-scc."  Wi 

regu^d  10  the  former,  it  ij 

the  objcrvations  in  the  op«. 

wcrt  made  at  about  to 

tose  in  the  tank,  and  that  the' 

rcsulii  jhow  that  the  de. 

o  of  evaporation  in  the  open" 

to  that  in  the  tank  » 

«  diminution  of  the  depth  of 

water  in  the  tank.     Th 

nk  went  down  in  fi*-e  monlhi 

7S  inches,  in  Jpi 

cof  8 

all  8j  inchw;  of  which  the 

adopted  in  the  old  Bombay 
and  the  Rurkhi  data  are  not 


tank  evaporator  accounted  for  only  S3  inchei  as  lost  by  eiapontion, 
hence  only  30  inches  were  used  in  irrigation  out  of  83  inches  in  the 
tank — i.e.,  three-eighths  were  utilized,  and  five^eighths  lost. 

M.  Lamaireuc  also  mentions  that  the  English  engineers  in  the 
Madras  presidency  also  allow  for  a  loss  of  water  in  irrigation  by 
evaporation  of  3  inches  daily  per  square  yard  of  land  irrigated. 

The  conditions  and  mode  of  observat 
Observatory  data,  the  Madras,  Calcutta 
explained. 

The  Akola  data  were  observed  by  a  military  surgeon ;  the  evapo- 
rator being  a  simple  tin  pot,  about  four  inches  in  diameter,  surrounded 
by  a  little  cotton-wool,  and  covered  with  a  wire  gauge  covering  to 
protect  the  water  from  animals ;  the  water  was  measured  every  second 
day  in  the  graduated  measure  used  for  measuring  rainfall. 

The  conditions  of  observation  adopted  by  Mr.  Conybeare  at  Vahar 
are  not  forthcoming ;  but  as  his  data  more  nearly  represent  the  actual 
amount  of  evaporation  from  large  sheets  of  standing  water  than  those 
of  others,  and  have  been  confirmed  by  practical  results,  they  are  ex- 
ceedingly valuable. 


ADDITIONAL 
METEOROLOGICAL    TABLES. 


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GENERAL  REMARKS 


METEOROLOGY    OF    INDIA. 


eads  of  mean  monthly 
'eryihing  available  that 
ind  irrigation  engineer. 
rainfall  for  each  place 
,.J2e  annual  rainfall  in  ail 


The  returns  given,  under 
rainfall,  and  day  maxim 
would  be  of  use  to  the 
The  maximum  and  minim. 
would  have  been  givcji  wit. 
cases,  as  in  those  of  the  Bombay  Presidency,  the  Punjab, 
Mysore,  and  the  minor  provinces,  but  unfortunately  they  were 
not  to  be  had.  For  the  Madras  Presidency,  no  mean  monthly 
returns  subsequent  to  1861  are  available.  For  Bengal  and 
Burmah  there  are  no  day  maxima  procurable.  In  all  cases 
hundredths  of  an  inch  of  rainfall  have  been  rejected,  as  in 
the  first  place  they  are  unnecessary  to  the  engineer,  and  in 
the  second  it  would  be  aiming  at  a  refinement  of  exactitude 
beyond  the  present  powers  of  meteorological  observation 
generally  throughout  India.  As  regards  mean  monthly  re- 
turns, since  it  appears  that  the  cycle  of  rainfall,  in  which 
maximum  and  minimum  annual  falls  in  India  occur,  is  about 
ten  or  eleven  years,  the  average  for  this  number  of  years  may 
be  considered  as  practically  correct ;  anything  beyond  that  may 
therefore  be  considered  unnecessary,  and  anything  less  as 
incomplete  in  that  respect,  and  serving  merely  as  a  useful 
approximation. 

The  rainfall  data  given  for  years  previous  10  1861  were 


(  55  ) 
ixtracttd  and  reduced  from  a  Pariiuniciiciry  Blue  Book  pi 
'lisheil  in  1863;  thuse  fur  years  subsequent  Id  1861  were 
reduced  from  yearly  returns  furnished  by  the  ineieorulogical^ 
reporters  of  the  various  provinces  of  India  ;  or  rather  froi 
such  of  them  as  could  be  procured,  including  the  latest  sup- 
plied by  the  India  Office  in  1874,  All  returns  made  by 
s  under  the  superintendence  of  the  civil  officials,  Anglo- 
[ndiaa  magistrates,  and  hence  not  under  the  control  or 
inspection  of  meteorological  reporters,  or  other  qualified 
arologists,  have  been  generally  excluded  from  these  sta- 
listicsj  those  fur  Bcrar,  reduced  and  examined  by  myself, 
fcrming  the  sole  exception. 

Xhc  position  of  the  places  mentioned,  latitudes  and  longi- 
ndes,  have,  when  given  vi-ith  elevations,  been  generally 
E>bi>iined  from  the  yearly  returns  of  the  meteorological  re- 
[1  other  cases,  that  is,  when  the  elevation  is  not  given  , 
with  them,  they  may  be  cojisidered  as  mere  approximations 
intended  to  guide  the  reader.  As  regards  the  nomenclature  of! 
^e  places,  a  serious  difficulty  in  a  country  where  there  atv 
Qo  less  than  twelve  main  widely-spoken  languages,  it  has  been . 
bund  impossible  to  adhere  rigidly  to  one  system  ;  that  of  Sir^ 
William  Jones,  being  strictly  phojietic,  and  when  once  learnt^ 
free  from  all  doubt,  is  undoubtedly  the  best,  and  has  hence 
leen  generally  adopted  ;  but  as  so  many  pUccs,  as,  for  in-{ 
nance,  Bombay  and  Calcutta,  have  fallen  into  an  Englisfa! 
form,  and  might  hardly  be  recognized  in  the  Jones  form  oE 
blumbai  and  Kalkatta,  the  old  established  matmer  of  spcllinn 
^ese  and  a  few  other  names  has  been  adhered  to,  '3 

As  to  the  grouping  of  the  rainfall  stations,  it  would  no 
doubt  have  been  far  more  correct  meteorologically  to  collect 
3  natural  groups,  as  shown  in  the  table  on  the  follow- 
ing page  i  but  for  many  reasons  this  has  not  been  considered" 
Rdvisable  at  the  present  stage  of  Indian  meteorology,  and 
hence  the  following  terriiorial  arrangement  has  been  generally 
tdhered  to  : —  ] 


I 


(    56    ) 
I.   India  generally,  irrespective  of  Province. 
II.  Bengal  (under  the  Government  of  Bengal). 

III.  Bombay  and  Sindh. 

IV.  The  North-west  Provinces. 
V.  The  Punjab. 

VI.  Madras  (under  the  Governor  of  Madras), 
VII.  Minor  Provinces — including  the  Central  Provinces, 


Berar  and  H  ' "               Oudh 

Mysore  and  Kurg, 

British  Burn                  ejlon. 

In  some  cases,  however,                  the  arrangements  of  (he 

meteorological  reporters,  si                     :  data  for  places  in  the 

Minor  Provinces  will  be  i                   d  up  with  those  of  the 

nearest  large  province,  as  f                    ne  North-west  Province, 

M^isur  with  Madras,  and                        1  Ceylon  with  Bengal. 

TABLE   OF    NATU 

PS   OF   RAINFALL 

tio. 

Giour. 

PoUTIOH, 

RA.»rA.i 

1 

■a 

ii  = 

i 

■3 

.3 

S 

I. 

IntuUt   Ceylon,.  ,. 

79    to    s\ 

%■> 

11 
111 

90     to  100 

118 

iKS 

IV 

Thi  W«.  C™.,  «  ...  Bomb.,   ... 

66    to    76 

Kn 

S    tors 

77    to    78 

Belgium    .. 

i6    to  .;j 

74    to    77 

VII 

The  South  Ceotnl.  or  KiinOi 

;^,;:;!' 

ir.  li 

M 

IX 

Naiik 

»1 

X 

The  CcDtnl,  or Nigpui 

XI 

The  North  Cenml,  m  MMinlAbu 

»3i  to  154:69    to    75 

XII 

10    toi7i[9ii|  to    9^ 

?K 

XIII 

»1 

to  .6  ;8,i  to    9. 

D"»PUr   .. 

to«6  :85    to    85 

The  Benpd  Hill,  «...  Bh.g.Ipor.. 

'■\ 

tD»3   [87    to    88 

4f 

ElrdwM   .. 

'i 

to  14 

iSlto    R8 

.,« 

•J  ':ti 

76Jto    79 

41 

XX 

The  Northem,  or Delhi     

96 

XXI 

The  North  Wdtern,  or  Lahor    

Tht  WeMero,Dr  ladui    

IS    103° 

71    to    73 

9 

3' 

(  57  ) 
As  to  ihe  laws  of  the  irregularities  of  rainfall  over  the  vast 
continent  of  India,  and  their  causes,  nothing  has  yet  been 
positively  determined.  The  phenomena  of  the  mansuns,  and 
their  causes,  as  well  as  those  of  (he  existence  of  the  large 
compa»tiveIy  rainless  re^ons  west  of  the  Indus,  have  been 
familiar  to  every  one  for  many  years;  famines,  due  to  the 
periodic  rainfall,  being  either  in  excess  or  in  deficiency  on  the 
whole,  or  at  the  usual  period  of  high  rainfall,  the  rains  being 
loo  late  or  too  early,  have  existed  for  ages,  and  have  continu- 
ally decimated  the  population  locally,  without  the  causes  being 
discovered.  Sometimes  the  summer  rainfall  is  thrown  to  the 
east,  sometimes  to  the  west  of  the  Bay  of  Bengal : — sometimes 
it  is  scanty  in  Lower  Bengal  and  abundant  in  Northern  India, 
and  sometimes  the  converse.       After  a   few  years,  when  a 

I  uniform  and  trustworthy  system  of  meteorological  observation 
shall  have  been  extendeJ  all  over  India,  it  is  very  probable  that 
these  phenomena  will  be  belter  understood  :  at  present  the  re- 
cord of  pressure,  temperature,  and  wind,  &c.,  of  the  Presiden- 
cies of  Bombay  and  Madras  are  practically  inaccessible,  and 
those  of  Northern  India  being  irregular  and  untrustworthy, 
(he  only  records  that  are  of  any  value  for  this  purpose  are 
those  under  the  control  of  Mr.  Blanford,  for  many  years 
Meteorological  Reporter  to  the  Government  of  Bengal. 
From  these  be  has  been  enabled  to  discover  a  most  important 
law,  viz.,  that  the  position  of  the  circle  of  minimum  baromc- 
I  trie  pressure  in  Bengal  in  March  and  April  does,  in  connection 
with  other  meteorological  data,  furnish  means  for  indicating 
1  roughly  the  amount  and  the  distribution  of  the  mansun  rain- 
(all  of  the  year,  which  commences  in  May  or  June.  Wc 
may,  therefore,  hope  that  in  a  few  years  it  will  be  customary 
to  announce  every  spring  the  probable  amount  and  distribution 
of  the  summer  rainfall  over  India,  and  thus  save  the  large  and 
continual  losses  of  crops  now  due  to  a  want  of  this  knowledge. 
Another  most  important  law  of  rainfall,  discovered  by  Mr. 
.'Meldrum,   of  the  Mauritius,  will  probably  be  found  to  admit 


of  application  to  India.     Mr.  Mcldrum,  of  the  Mauritius,  a 
giiully  established    ihc   law   that  the  yean   of  minimum  aadf 
maximum  sun-spot  frequency  were  coincident   with  those  of  1 
cyclone    frequency  in  the    Indian   Ocean,  and  his  lately  esit-  1 
bished  the  law  of  the  coincidence  of  these  years  w: 
minimum  and  maximum  rainfaJI  at  Port  Louis, 
years  of  minimum  sun  spot  frcaucncy  arc — 
>8i3 


6         1867, 

ucncy  arc — 

o         1871, 

eleven  years. 

kpe  of  Good  Hope,  shows 

generally,  but  the  epochs 

m-spot  frequency  ;  these 

to  be  the  natural  conse- 


The  rain- 


and  those  of  maximum  s>- 

1837     , 

denoting  a  cycle  of  bciw 
Tall  at  Adelaide,  Brisbam 
a  similar  periodicity  of 
arc  not  coincident  with 
periodicities  are,  thcrefo 
quences  of  the  same  law. 

Mr.  J.  Norman  Lockyer,  Superintendent  of  the  Depart- 
ment of  Science  in  Oudh,  has  attempted  to  apply  these 
principles  to  rainfall  in  India ;  he  states  that  the  rainfall  at 
Lakhn.iu  was  64-6  inches  in  1870  and  65*0  inches  in  1871, 
each  of  these  amounts  being  more  than  22  inches  above  the 
fall  of  the  preceding  year  1869,  or  the  two  following  years, 
l8;2  and  1S73,  in  which  the  falls  were  41  and  34  inches  i  he 
also  paints  out  that  the  Madras  rainfall  records  support  the 
same  law ;  they  arc  thus  : — 

InchM,  Tottlf. 

1843  —  41- 

1844  —  45" 
"845  —  39- 
,847  —  81- 
1848- 
1849  —  54* 

and  show  an  interval  indicative  of  a  periodicity  coincident 
with  that  of  the  sun-spots. 

While,  therefore,  it  will  probably  be  long  before  1 


Minimun 


Maximum 


(  1847  —  81-  \ 
}  1848  -  40-  f 
(       1849  —  54-      ) 


125- 


>7S- 


(     S9     ) 

gical  science  and  spectrum  analysis  togeiher  combine  to 
Scover  the  nature  of  the  connection  sliowii  by  these  facts, 
Tieantime  the  knowledge  of  the  periodicity  of  the 
bufall  cycle  may,  like  that  of  Air.  Blaiiford's  theory  prc- 
rtjsly  mentioned,  become  an  invaluable  blessing  to  India. 

t  present,  neither  of  these  theories  can  be  considered  as 
tablished,  indeed  the  petioiiiciiy  of  a  cycle  of  sun-spot 
frequency  is  not  yet  fully  proved.  All  that  is  yet  established, 
as  proving  the  connection  between  the  solar-spots  and  the 
meteorological  conditions  of  the  earth,  is,  that  the  years  of  sun- 
spot  frequency  generally  correspond  to  those  of  maximum 
solar  radiation  temperature,  of  the  black-bulb  thermometer  in  ■ 
vacuo;  while  of  the  fact  that  variation  of  rjinfall  is  caused  by 
that  of  temperature  there  is  no  doubt.  A  widely  extended 
series  of  meteorological  observations,  in  all  parts  of  the  world, 
will  be  required  before  this  connection  can  be  made  to  yield 
useful  results. 

n.  EVAPORATION  AND  HUMIDITY. 
Next  to  the  amount  and  distribution  of  rainfall,  evaporation 
is  among  meteorological  data  the  most  important  to  the 
hydraulic  engineer.  It  is  not  sulBcient  for  him  to  know  how 
much  rainfall  may  be  expected  at  any  time  and  in  any  length 
of  lime,  he  wishes  to  know  how  much  of  this  has  to  be  pro- 
vided against,  or  how  much  of  it  he  can  utilise,  after  all  losses  ' 
by  evaporation  and  absorption  are  allowed  for.  These  losses, 
then,  require  to  be  determined,  not  with  any  theoretical  degree 
of  exaciitude,  but  with  a  practical  degree  of  accuracy  that  will 
be  sufficient  security  against  gross  error  or  gross  waste.  The 
large  number  of  bridges  in  India  that  have  been  swept  away  , 
for  want  of  sufficient  waterway,  and  the  large  amount  of 
water  valuable  for  irrigation  that  has  annually  been  allowed  to 
evaporate  in  shallow  tanks,  are  painful  examples  of  semi- 
barbarous  engineering  management,  and  ignorance  of  physical 
and  meteorological  conditions.  , 


4 


The  evaporation  data  given  in  the  tables  are  exceedingly 
lew  in  number,  and  have  mostly  been  conducted  on  ^se 
principles;  they  do  not  by  any  means  truly  represent  local 
evaporation  as  regards  absolute  amount,  but  arc  relatively 
useful,  yielding  ct-mparalive  results,  which,  in  combinatioD 
with  a  few  absolute  data,  and  a  knowledge  of  comparative 
local  nieleorologicai  conf'-'- — -    "le  made  to  yield  roughly 


approximate  absolute  da 
with  this  object  that  all 
for  India  have  been  give 

For  example  : — We 
approximation  to  the  c 
comparative  humiditic 
data  of  absolute  cvapo 
large  standing  sheet  of 
Vahar,  near  Bombay  ;  they  j 


□umber  of  places.  It  is 
mparative  humidity  data 
npanying  tables, 
that  we  require  a  rough 
Mcola,  a  place  for  which 
The  most  trustworthy 
ting  evaporation  from  <i 
ie  of  Mr.  Conybeare,  It 
. ./  inches  in  eight  months 


of  hot  weather,  or  about  forty  inches  in  a  year.  Now,  the 
Bombay  Observatory  data  give  mean  daily  evaporation  data, 
which  are  among  themselves  and  under  their  own  conditions 
relatively  correct,  although  thetr  sum  total,  eighty  inches.  Is 
not  true  in  representing  absolute  evaporation  from  a  sheet  of 
standing  water.  We  can  therefore  tabulate  proportional  mean 
daily  evaporation  for  Bombay  that  will  be  absolutely  correct, 
thus — 


BoHiAr. 

Compintivc 

Alxoltite 
Erapootion 
Mtan  daily. 

Re'Mwt  Humidity 

■140 

■iSO 
-i8j 

■z8s 
■311 

loS 
■'3S 
■ijl 

:S 

■»70 
■MS 

■IIS 

■i+» 

■\i\ 

■087 

■lit 
■076 
■109 
■33 

■'35 

73 

73 
75 
75 
84 
8« 
B7 
86 
St 
71 

7g 

p  •:::::::;::::;::;::::;::::: 

(     6'     ) 

I'ld  assuming  that  the  observed  hamidities  taken  at  Akul.i 
nd  at  Bombay  are  daily  means,  i.e.  of  two  observations  in 
^c  twenty-four  hours,  at  10  a.m.  and  4  p.m.,  they  admit  ol 
omparison,  and  we  can  then  tabulate  the  true  evaporation  for 
kkota,  thus— 


Humidity. 

Tnir 

E»|»ra<i<in. 

Enpondon. 

->;i 

3S 

■119 

■359 

JO 

■'79 

■471 

JS 

■ij6 

7*' 

'7 

■370 

9*! 

■47J 

60 

•197 

iS 

■x(.c 

61 

■33a 

5« 

-.69 

■351 

5' 

■*'9 

110 

l.>.««7  ... 
rcbruiT  ■ . 
MiKh  .... 
April  

&:;::::; 

AtfiM    .    . 

Nuicmbct 
DKtmbct 


that  the  evaporation  at  Bombay  and  at  Akula 
Id  be  the  same  for  the  same  relative  humidity,  viz  ,  '130 
'O,  and  the  rest  are  iherefure  tabulated  in  proportion  to  the 
uive  daily  evaporation  data  for  each  month,  getting  a 
annual  cvaporjticm  of  75'7  inches.  This  result,  though 
ssedly  an  approximaiio/i,  is  sufEciently  true  to  be  useful 
I  hydraulic  engineer,  and  is  infinitely  better  than  the  old 
ice  of  basil. g  compatisons  of  evaporation  upon  corre- 
ling  mean  temperatures,  or  the  still  worse  method  of 
ling  that  evaporation  all  over  India  is  about  the  same.  In 
Way  also  we  adopt  a  means  of  utilising  the  various  evapo~ 
n  data,  taken  under  such  different  conditions,  that  have 
generally  hitherto  thrown  asiJe  as  useless, 
the  future,  we  shall  probably  have  a  widely  extended 
I  of  evaporation  observations  taken  all  over  India,  imder 
f  Mr.  Blanford,  now  appointed  to  the  new  post  of 
jological  Reporter  fur  India.  If  these  are  conducted  in 
trfccily  uniform  manner,  whether  the  evaporators  are 
iinpots,  double  boxes,  or  masonry  cisterns,  we  shall 


(  62  1 

poi^sess  most  useful  data  for  purposes  of  comparison,  iF  6t 
relative  humidities  and  the  average  wmd-movemwiO  be 
simultaneously  observed  } — and  from  these,  and  with  the  »4  iif 
a  few  carerully  conducted  series  of  observations  giving  tbscdutcly 
true  evaporation,  as  from  a  sheet  of  standing  water,  wc  tbaU 
be  able  to  tabulate  absolute  evaporation  fi^m  any  place 
India  with  sufficient  accuracy  to  serve  the  ordinary  purposes  of 
the  engineer. 


c;in  be  expected,  a  Urge 
rimentt   must  be  made  In 

is  luiown  at  present,  bvth 
vaporation  and  the  depth  of 
ind  that  between  it  and  the 
»  of  relative  humidity  ;— 

enlighten  us  considerably 
'  cnay  lose  as  much  as  hilf 
1  India. 


Before  anything  mor 
series  of  carefully  cont 
order  to  ascertain  more 
the  relation  between  thf 
the  evaporating  vessel  i 
velocity  of  the  wind,  ii 
we  shall  then  have  re* 
as  to  the  conditions  ur 
the  waKr  wc  store  fur  irrigation 

The  tables  for  humidity  are  intended  to  aid  the  engineer  in 
determining  evaporation  data  in  the  fore- mentioned  manner; 
they  may  also  be  useful  to  the  agriculturalist  who  requires 
certain  hygrometrical  conditions  to  suit  various  crops  in  dif- 
ferent localities. 

It  is  unfortunate  that  in  many  meteorological  stations  only 
two  observations  of  humidity,  viz.,  at  10  A.M.  and  4  P.M., 
have  been  taken  daily ;  their  mean  represents,  therefore,  only 
the  mean  of  the  day,  exclusive  of  the  night,  and  is  not  a  true 
daily  mean  for  the  twenty-four  hours.  Such  means  arc  there- 
fore only  comparative  means  ;  the  true  mean  is  that  of 
observations  taken  at  equal  intervals  through  the  twenty-four 
hours.  Those  of  observations  taken  six  hours  apart  yield  a 
mean  differing  only  two  per  cent,  from  the  mean  deduced 
from  hourly  observations ;  those  of  observations  taken  at  eight 
hours'  intervals  are  far  less  correct.  There  are  no  means  of 
deducing  a  true  daily  mean  from  the  two  observation  humidi- 
ties ;    these,    therefore,   only   admit  of   comparison    among 


(  63  ) 
themselves.  In  some  cases  the  relative  humidities  are 
recorded  as  percenlages  of  saturiition,  in  others  as  decimal 
fractions;  it  has  been  thought  best  to  leave  ihem  in  the' 
form  in  which  they  were  recorded,  as  this  presents  no 
difficuliy. 

A  table  showing  the  average  monthly  values  of  the  tension 
of  aqueous  vapour  for  sixteen  stations  in  India  is  given  among 
the  additional  meteorological  tables,  which  are  placed  apart 
from  those  that  are  more  useful  to  the  engineer,  viz.,  those  of 
rainfall,  evaporation,  and  humidity. 

The  hygrometrical  data  arc  simply  inferential  results  derived 
from  observations  with  dry  and  wet  bulb  thermometers,  no 
direct  determinations  of  the  dew  point  by  Danicll's  or  Reg- 
nault's  hygrometer  having  been  practised.  The  calculations 
have  been  made  by  Guyot's  tables,  which  are  computed  by 
August's  formula  with  Regnault's  constants.  In  Berar, 
Apjohn's  formula  was  used,  and  the  results  were  hence  less 


In  explanation  of  the  various  hygrnmetrical  conditions  thai 
are  thus  reduced  to  figures  and  statistics,  we  may,  for  the  sake 
of  those  that  wish  to  add  their  observations  to  the  common 
stocic  in  a  useful  form,  oiFer  a  few  remarks. 

The  wet  and  dry  bulb  thermometers  used  for  observation 
are  suspended  in  the  open  air,  in  a  thermometer  shed,  screened 
from  the  wind,  but  exposed  freely  to  the  air,  the  object  being 
to  ascertain  the  ordinary  humidiiy  in  still,  unconfined  air. 
The  dry  bulb  thermometer  shows  the  actual  temperaiure  of 
the  air  ;  the  wet  bulb  being  cooled  by  evaporation  falls  in 
temperature,  and  the  difFercnce  of  the  readings  of  the  dry  and 
wet  bulb  increases  with  the  rate  of  evaporation,  and  this  again 
increases  with  the  dryness  of  the  air,  although  not  in  the  same 
ratio.  The  wet  bulb  is  never  cooled  to  the  temperature  of 
the  dew  point,  but  both  that  temperature  and  the  weight  of 
vapour  in  the  atmosphere,  and  the  relative  humidity,  are  ob- 
tained by  calculation.     The  readings  recorded  are  simply  those 


?a    I 


( 64 ) 


of  the  wet  buib  and  the  difference  between  those  of  the  wci  mi 
dry  bulbs,  except  at  hill  stations  in  India,  where  a  barometric 
reading  is  necessary  in  order  to  apply  a  correction.  From  these 
readings,  t:ilcen  at  six  hour  intervals,  and  with  the  aid  of 
Guyot's  tables,  useful  mean  humidities  may  be  obtained. 
The  four  most  important  hygrometrical  elements  are:— 
I,  The  temperatuf  nf  iUp  Hem  point. 


11.  The  actual  amo 
of  air  in  the  f 
III.  The  amount  of 
mass  of  air. 
-      IV.  Thcrehtived 

The  temperature 
the  temperature  musi 
saturation  of  the  air 
higher  ihan  th.u  of  the  t,. 
if  after  complete  S: 


'  mixed  with  a  c 


Esory  to  saturate  a  cemin 


dtty  of  the  air. 
int  is  that  degree  to  which 
1  order  to  effect  complete 
temperature  of  the  air  be 
he  air  is  not  saturjted,  iiid 
1  the  temperature  of  the  air  declines 
ram  must  f.ill.  The  amount  of  water  necessary  to  effect 
saturation  varies  with  the  temperature  :  at  32°  air  is  saturated 
by  a  little  more  than  two  grains  per  cubic  foot  j  at  42°  by  3; 
at  49°  by  4  i  at  56°  by  5  -,  at  61"  by  6  }  at  66"  by  7  ;  at  70° by  8; 
at  100"  by  20  grains  nearly.  The  difference  between  the 
actual  amount  of  water  in  the  air,  and  the  amount  that  it 
could  hold  at  that  temperature  is  the  amount  short  of 
saturation  ;  and  the  ratio  between  the  same  <)uantit!es  is  the 
relative  humidity.  For  example : — At  the  temperature  of 
32"  if  th-.re  be  one  grain  of  water  in  a  cubic  foot  of  air  the 
relative  humidity  is  50  ;  at  100°  there  must  be  ten  grains 
present,  to  give  the  same  relative  humidity  of  50. 

The  furmulx  used  for  obtaining  these  data  from  the  readings 
of  the  wet  bulb  thermometer  and  the  difference  of  the  wet 
and  dry  bulb,  are  those  of  Dr.  Apjohn  and  of  August — the 
latter  are  more  recent  and  more  accurate  ;  but  to  make  use 
of  them  it  also  is  necessary  to  have  tables  of  elastic  force 
of  vapour  corresponding  to  various   temperatures,     August's 


(  65  1 
fbrmulx,  as  given  in  Guyot's  Tables,  Smilhsonian  Collec 
862,    are   for  lemprratures    above    freezing   (1)    and    below'J 
iczing  (2)  respectively, 

113°—'' 

■43  (/-/') 


(!) 


i^o-i 


x_i. 


Inhere  F  is  the  elastic  force  of  vapour  at  the  dew  point  ; 

/  is  that  of  saturated  vapour  at  the  temperature  t'  j 

/  is  the  observed  temperature  of  the  dry  bulb; 

('  is  that  of  the  wet  bulb  ; 

id   A    is   the   mean   barometric    pressure    which    is   assumedJ 

:  29*7  for  the  plains  of  India  generally  by  Mr.  Bianford. 

Having  thus  obtained  F,  the  corresponding  temperature  atfl 

le  dew  point  can  be  gut  from  a  table  (Drew's   Meteorologyj 

T  Guyot's  cables)  based  on  experiments  on  vapour  elascicitie8J| 

To  calculate  the  humidity,  obtain  from  a  similar  table  the^ 

l^isiic  force  of  saturated   vapour  (F')  due  to  the  temperature 

/),  then  the  humidity  = 

100  F 
F' 
i   however,   the   humidity    alone   be    requiied,   it    c 
itained    direct     from    Guyot's    humidity    tables,    as 
nemioned,  without  any  calculation. 

From   Ijidian  hygrometrical  data,  it  appears  that  the 

;aM  moist  upon  the  average  of  the  whole  year  at  aboi 

KM.,  but  this  varies  at  different  seasons  -,  the  greatest  moisture^l 

<.hc    day    is    at   about    six    a.m.,     and    there   is    a     meanT^ 

«e  about  nine  or  len  o'clock,  both  a.m.  and  P.M.      The  1 

itrcmes   of   humidity  are  generally  the  reverse  of  those  of  J 

«mperaturc  as  regards  time,  except  in  June  and  July,  when  I 

the    moisture    is    greatest    about    midnight  i     in    August    and  J 

September  the   increase    of   moisture  after  midnight  is    very  | 

imall.     The  contrasts  between  the  humidities  of  Madras  and^ 

ibay  --how  the  effects  of  the  north-east   and  south-W 


mansuns.  The  variations  of  humidiiy  from  year  to  year  at 
the  same  place  seem  not  lo  follow  any  law,  and  the  humidities 
for  various  places  seem  not  to  be  affected  by  latitude  or 
longitude.  The  effect  of  elevation  is  everywhere  deirly 
shown  by  the  almost  proportional  lower  reading  of  the  dew 
point,  less  wa[er  being  present  in  the  air,  a  nearer  approach 
lo  saturation,  and  a  hi"''"'  -I—"-"-  of  huoiidiiy ;  but  beyond 
this  nothing  can  be  infe  it,  and  before  any  further 

deduction  can  be  made.  rtcC  determinations  of  she 

dew  point  at  various  h  will  be  necessary. 

The  places  whose  i  state   seems  to  be  nearest 

to  that  of  England  ar  d  DarjiJtng.      Landaur  it 

the  same  elevation  as  [he  same  annual  tempera- 

ture of  the  dew  poll  >unt   of  wjtcr  present  in 

ihc   air  Is   nearly  the  s   the    amount    of  witer 

necessary  for  saturation  i-.  s  :is  Ijfgc  as  in  England, 

the  air  is  Jess  humid.  At  all  other  places  the  dew  point  is  i 
great  deal  higher  than  in  Englmd,  and  the  amount  of  w^tcr 
actually  present  as  well  as  that  necessary  for  saturation  is 
greater,  so  that  the  air  is  throughout  the  whole  year,  anJraoie 
especially  in  the  cold  weather,  much  less  humid.  At  cert^ 
places,  Belgaum,  Sattara,  Mahableshwar,  Dapuli,  Bombay, 
Thayatmyo,  Calcutta,  and  the  country  thence  to  Banaras,  the 
air  is  only  in  the  summer  months  more  humid  than  in 
England. 

[H.— ON   THE    ADDITIONAL  TABLES. 

ATMOSPHERIC    PRESSURE. 

The  daily  variation  of  pressure  in  India  is  extremely 
regular;  the  minima  occur  at  about  4  a.m.  and  5  P.m., 
the  maxima  ai  about  10  a.m.  and  11  p.m.,  or,  roughly 
speaking,  at  about  one  or  two  hours  before  sunrise,  noon, 
sunset,  and  midnight  ;  the  morning  maximum  being  greater 
than  the  evening  one,  and  the  evening  minimum  lower 
than   the  morning  one.     The  dilFcrencc  between  the  mean 


(67  ) 
daily  readings  selJom  exceeds  '2  inches,  and  ihe  whole  daily 
range  is  gcnerjily  less  than  -i  inch.  The  mean  change  of 
pressure  from  ye:ir  to  year  is  generally  very  small,  and  the 
change  from  month  to  month  is  very  constant  in  different 
yeais,  the  maximum  being  in  January  and  the  minimum  in 
June,  the  pressure  increasing  and  decreasing  regulaily  through- 
nut  the  year,  the  difference  being  -26  in  the  Prcsiijencies  of 
Madras  and  Bombay,  and  -44  in  that  of  Bengal  generally. 
LocaJly,  the  distribution  of  pressure,  from  the  account  of  Mr. 
Bbnford,  is  as  fi>llows  : — 

Beginning  with  October,  the  month  in  which  the  south-west 
Riansun  terminates,  the  pressure  is  nearly  uniform  over 
B»rm..h,  Bengal,  Central,  Northern,  and  Eastern  India:  in 
November,  the  pressure  rises  rapiJly  over  the  whole  of  this 
area,  but  more  especially  in  two  distinct  areas,  one  being  the 
elevated  tract  lying  south  of  the  CJanges,  including  Bandal- 
kand,  Choia  Nagpur,  and  a  part  of  Nagpur,  up  to  Banaras 
on  the  north  and  down  to  Ciittack  on  the  south  ;  the  others 
being  an  area  in  the  Upper  Panj.ib  coinciding  wiih  the  locus 
of  lowest  mean  winter  temperature.  The  intermediate  Gaii- 
getic  plains  on  the  Gjngetic  delta,  the  Malwa  pbteau,  and  the 
flats  of  Southern  Orissa,  fall  outside  both  of  these  areas.  In 
December  the  general  pressure  is  at  its  annual  maximum,  and 
in  January  it  is  nearly  as  high,  all  over  India,  but  the  pressure 
is  less  at  Bombay  and  on  the  west  co^st  than  in  Eastern  India. 
It  is  probable  [hat  the  fall  of  pressure  with  the  approach  of 
the  hot  weather  is  less  rapid  in  the  Panj.ib  than  in  the  Central 
Provinces  and  Bengil.  In  March,  April,  and  May  the  maxi- 
mum pressure  is  about  Nagpur,  and  in  the  hill  country  about 
Hazaribagh  ii  is  lower  than  either  on  the  delta  and  coast  to  the 
e.isc  and  south-east,  or  in  the  Upper  Provinces  to  the  west  and 
north-west.  In  June,  the  setting  in  of  the  south-west  mansun 
is  accompanied  by  a  sudden  fail  of  pressure  -,  greater,  however, 
in  the  Panjab  than  in  the  Nagpur  region,  so  that  the  locus 
minimum    pressure  is  probably  transferred  to  the  former.     In 


.  '^».Me„/-„, 


t"-";'l  Ubk-s 


*yhich  : 


October 
^ofembei 

March  _ 

'"™  of  tke  a,>    ,        """'' 
"''">li  aJJn,..  ,-.  '  P'»«  I 


gularly  with  the 

I  to  9,000  fi:e[,  uccorditii 

HtJght. 


(    69   } 

elevation  above   mean   sea  Icvt 
J  [he  folluwing  table>: — 


ti°  to  36° 


..  16"  to  c 


"ooo 3=  to  sr 

3000 61°toi3i'' 

4000 itl°to  18" 

Sooo "5°    'o  '3° 

le  amounts  given  being  maxima  and  minima  in  ihc  year, 
lere  is  also  a  regular  monthly  increase  or  decrease  of  high 
'  temperature,  due  to  an  increase  of  one  degree  of  latitude. 


For  November. 


,  January ... 
,   February 


)r  April..., 
,  May  .... 
.  June  .... 
.   JuTy    .... 

,    Septcmbi 
October 


+  o°4 
+  o=-i 


'he  cfFect  of  longitude  is  inappreciable  from  June  to  August   ' 
id  for  other  months,   westward   stations   have  a  higher  day   1 
mperature  than  eastward  by  a  difference  of  about  half  a  de- 
ee  for  each  degree  of  longitude. 

Thirdly.  As  regards  low  temperature  at  night.  The  effect  | 
f  latitude  on  low  night  temperature  is  almost  inappreciable 
Om  May  to  September;  but  from  November  to  March  the 
Feet  is  about  one  degree  of  temperature  for  each  degree,  and  j 
April  and  October  the  effect  is  about  half  that ;  the  northera 
Hions  being  colder.  The  effect  of  an  increase  of  one 
igree  of  east  longitude  is  greatest  in  places  having  less  than 
fteen  degrees  of  latitude;  it  amounts  to  a  decrease  of  more 
an  one  degree  and  a  half  for  each  degree  of  greater  east 
Qgitude  in  January  and  February,  to  a  little  less  than  that  in 
larch,  to  three-quarters  of  a  degree  in  April,  and  to  one 
larierof  a  degree  in  M.iy.      After  May  a  change  takes  place. 


(  73  ) 
and  from  June  to  September  those  places  with  greater  Mil 
longitude  are  from  a  quarter  to  hjlf  a  degree  warmer  for  cacli 
degree  of  longitude.     The  fullowing  table  gives  the  decrease  of 
night  temperature  due  to  increase  of  elevation  up  to  9,000  feci: 

Hdjhi,  Decrew,  I         Hdght.  DccnSK. 

looo 1"  10    3|°  6000 13*  to  »«1* 

looo si"  1°    -'■'•      '      """W 15°  10*9° 

3000 sr  ro  "  « 'T*  '«  3S' 

4000 81*10  I  <o i9«io4i* 

5000 to?"  10  1- 

ihc  amounts  given  being  sima  and  minima  in  the 

year. 

Some    statistics   of  n  ure  of  the    air,    of  the 

temperature    of  solir  It   bulb    thermometer  in 

vacuo,  and  of  grass  ra<  >us  places  in  India,  will 

be  found  ill  the  additional  t-iui-.. 

WIND   AND   SERENITY. 

The  phenomena  of  the  mansuns  and  general  winds  of  India 
being  better  studied  from  the  charts  of  the  large  works  on 
physical  geography  than  from  any  brief  account  that  the  limits 
of  this  book  would  allow,  it  will  be  unnecessary  here  to  enter 
into  the  subject.  With  regard  to  local  observation  of  wind 
in  India,  comparatively  little  has  been  yet  done.  Mr. 
Chambers'  "  Winds  of  Bombay "  gives  some  valuable  in- 
formation for  the  year  1867  in  a  novel  form;  and  the  two 
accompanying  tables,  taken  from  the  report  of  Mr.  Blanford 
for  1873,  comprise  everything  else  that  is  of  much  value.  A 
table  of  serenity  for  a  few  places  ts  also  given. 

In  conclusion,  the  Meteorological  Statistics  of  India  are 
still  too  incomplete  and  irregular  to  lead  to  any  very  important 
scientific  result — in  fact,  they  do  not  yet  arrive  at  the 
sufficiency  required  by  the  engineer ;  nevertheless,  a  judicious 
use  of  such  data  as  we  possess  may,  it  is  hoped,  prevent  the 
recurrence  of  such  difficulties  as  have  so  frequently  occurred 
from  totally  ignoring  them. 


TABLE 

(Op  Goyot,  arranged  by  Blanford) 

FOR  FINDING  THE   RELATIVE   HUMIDITY  OF 
THE  AIR, 

VBOX  THB  BRADIKQ8  OF  WET  AND  DRY  BCLR  THBRMOMBTERS, 
8ATDBATI0N  BKIKG  100. 


FOR  THE   USE   OF  OBSERVERS. 


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TABLE  OF  CONTENTS. 


PABT  I. 
MANUAL. 


Chapter  I. — Eiplanation  of  the  Principles  nnd  ForranliB  adopted  ii 

ktion  and  applied  in  the  Working  Tables. 
1.  nydrodynamio  TheoricB.  2.  Notation  and  P;Fnibol8.  3  HainfaJI,  Snpply, 
and  Flood  Discharge.  4.  Storage,  5.  Discharges  of  0|K.'n  Channeis 
and  Pi|>e8.  6.  Section  of  Channels  and  Pipes,  7.  Other  Theories 
of  Flow.  8.  Velooities  in  Section.  9.  Beuds  and  ObHtructiona. 
10,  Dischantes  of  Sluices  and  Weirs.  11.  Discharge  from  Basins, 
LocltB,  and  Heserroirs.     12.  Application  of  the  Working  Tables. 

pp.  1  to  74 

Chapteb  II. — On  Field  Operations  and  Ganging  ;   with  brief  Acconnts  of 
the  Methods  adopted  h;  variona  Hydraulicians. 

I.  Direct  Measurement  of  Discharge      2.  Gauging  by  Rectangular  Overfalls. 

3.  The  Measnrement  of  Velocities  :  different  Appliances  and  Inatm- 
menta:  Flnmea  and  Ganges  4.  Ganging  by  menna  of  Surface  Velo- 
cities. 5.  Ganging  Canals  and  Streams  by  Loaded  Tubes.  6.  The 
Misaissippi  Field  Operationa  for  Gauging  very  large  Rivera.  7.  Field 
Operationa  in  Ganging  Crevassea :  and  Compntation  of  CoeScienta  for 
special  Crevasse-DiBcharges.  8.  Captain  Hnmphreys'  improved  system 
of  Ganging  Rivers  and  Canals.  9.  General  Abbot's  Mode  of  determining 
Discbargea  on  any  given  day.  10.  The  Erpcriment*  of  d'Arcy  and 
BuEin  on  the  Rigoles  de  Cbaziily  et  Grosbois.  11.  The  Gaaging  of 
great  Rivers  in  South  America,  by  J,  J.  R^vy,  12.  General  Remarks 
on  Systems  of  Gauging,  and  conclusions  .   pp.  "4.  to  135 

Chaptek  III.— Paragraphs  on  variona  Hydraulic  Snbjeota. 

1.  On  Modules.    2-  Modem  Irrigation  in  Italy.    3  The  Control  of  Floods. 

4.  Towage.  5  On  various  Hydrodynamic  Formuls.  6  Irrigation 
from  Wells  in  India.  7.  Hie  Watering  of  Land.  8.  Canal  Falls. 
9.  The  Thicknees  of  Pipea.    10.  Indian  Hydranlio  Contrivances. 

I  pp.  136  to  221 

H  WORKING   TABLES. 


Tablu  II.— Catch  WEST. —Part  1.  Total  quantities  of  ivater  equivalent 

B      tu  a  given  rainfall 

^L  Part  2    Dwchurges  equivalent  to  an  annual  rain  full 

^M  Parts.  Oischarges  equivalent  to  udcL^BTavn^HNX 


► 


1    W    )  TiBLE    Of    Ctl.tTBSTS. 


Table    lU.— Siouoe  xsu  Bven.Y.~Paii  1.    Gnide  for  cftpamt;  of 
reservoini   ............     r 

Fort  '2.  Guide  for  supply  for  irrigatiati  &ad  for  tovms       .       .   tu 

Table  IV.— Floop  Discuahqe.— Part  1.  Table  of  Hood  dischargee        ii  i  i 
Forts.  Waterwaj  of  bridges li 

Table  V. — VEU)CiTUS.--CoiiiparatJve,  usual,  and  safe  bottom  nlodtica  lii 

Table  VI. — SlApEH  *si)  Ghadikms. —  Part  I.  Limiting  glopea         .       .  iS 

Part  ii.  iteductiou  of  gradientis itrtti 

Part  8.  Keductiuti  uf  augukr  slopes  -         .         xri  &  nii 

Table  VII. — Ritirs  mn  CAM»La.~Vi>locitiea  of  dischnige  iriij  Um 

Table  VIII.— Pli'Ki  ASH  Sew^Bb.— Part  1.  Discharges   .  uriinrB 

Part  '2,  Diameturs itviu  4  uii 

Part  3.  Heads in  to  mii 

Table  IS. — Slk  ices  asb  Weim.— Velodtiea  of  lUacharge        nivii  to  liTiii 

TableX.— Besus  AND  Omtructioss.— Parti.  Benda  in  pipes       ,    ifiiAl 

Part  -J.  Bends  in  rivers li 

Part  3.  ObstracUons  in  riren li  A  lii 

Table  XI. — Equivalents.— Part  1.    Supply  eqnivalent  to  total  quan- 
tities .  ■  .         .         ■         ■         ■        ■    Ut  it  It 

Part  2.  Equivalent  diachargea Ivillni 

Part  3.  Equivalent  velocities Iviii  A  lii 

Part  4.  Eqnal  discharging  channels kllii 

Part  5.  Conversion  tables,  English  ....  liii  &  lini 
Part  6.  Conversion  tables,  metaical    ....      Ixiv  to  livii 

Table  XIL—Coewiciemts.— Part  1.  Of  fluid  friction      .        .        .       .  Idi 

Part  2.  Of  flood  dischar^ In 

Part  3.  Of  discharges  ot  channels  and  pipei  .  .  lixi  to  Im 
Part  4.  Of  discharges  of  orifices        .         .         .■        .  It-ttj  £  Lxnii 

Part  5.  Of  discharges  of  overfaUs Imiii 

Part  6.  Hydraulic  Memoranda  for  conversion,  wetgbt,  pieesare, 

horse-power,  and  towage      ....  Iniiv  A  Ixnr 

Part  7.    Useful    nnmbere,    cireumferences,   areas,    ret^procals, 

logarithms,  powers  and  roots      ....    lixxvi  to  icii 


MISCELLANEOUS  TABLES   AND  DATA. 

Retaining  Walls,  and  weighta  of  material i  to  ii* 

Trapezoidal  Masonry  Dams .  ir 

ThicknesH  and  Weight  of  Pipes v 

Hydraulic  Machines vi 

Indian  Hydraulic  Contrivances vii 

Constanta  of  Labour  for  Earthwork,  Bricklayer's  work,  and  Uason's 


Cart^e  Table 

Indian  Coinage,  Weights,  and  Measures 


PAET  II. 
HTDRAULIC  STATISTICS, 


[TT. — StotiBtica  of  Gravity  and  Mean  Temperatur 

IS. — Catcliinent  Areas  and  Disehargea  of  a  few  ri 
Plijeical  chariLcteriittics  of  a  few  rivera 
DatA  of  a  few  large  deltaic  rivera 


isiAH  RlVEHS. —  Areas  of  River  Baslna,   [5].     Lateral  enrvee  of  rivers  of 
fixed  rejimen,  [ti]      Falls  in  feel  per  mile,  [7].     Flood  diaohargeB,  [8]  and 
~  [9].     Diacbargea  nieueiired  at  varions  limes,  [10]  and  [11].     Catchment 
Areas  of  the  Riveta  of  Maisnr,  [12)  to  [15]. 

■  ArcocsTB   op_  iNDiiN    Rivers.— The  Indna,   Barra.    Son,    Jamna, 

Markanda,  8oq  in  Bengal,  GangPa,  Damuda,  Mahanaddi  and  its  tri- 
bntoriea,  Kistna  and  its  tribntaries,  Penner,  Kaveri  and  its  tribntariea, 
Tambrapnrni,  Dpar pp  [16]  to  [27] 

L  Statistics  op  Indus  CASiia : — 
Abatract  of  General  ResulU  in  NoHhern  India  in  1872-73      .       p  (29] 
B«a:iilta  from  1821  to  1872  on  tne  Western  and  Eastern  Jamna  Canals 
pp.  [30]  to  [32] 
Capital  accounts  of  the  Western  Jnmna.  the  Bari  Doab,  the  Eastern 

Jamna,  and  the  GaDgBs  Ciinais,  np  to  1872-73  pp.  ^3]  to  [36] 

ApproiimBte  results  on  the  anicuts  and  canala  of  the  Madras  Preaidener, 

— j.cM„:„.._  pp.  [37]  to  [39] 


and  of  Maisur 


IKIGATION  Statistics  op  Indian  Canais  : — 

J  and  Acreage  irrigated  on  the  Westeru  Jamna,  Eastern  Jamna, 
■ari  Doab,  and  Ganges  Canals  ...  pp.  |40]  A  [41] 

Snpply  utilized  in  1872-73  on  the  Weatem  Jamna  and  Bari  Doab 

Oannia '  P-  [+2] 

Acreage  of  the  Irrigated  Crops  of  the  Westcm  Jamna,  Eaetem  Jamna, 
Bari  Doab,  and  Gangea  Canal,  in  1872      .  pp.  [43]  to  [46] 

Baixr  AccopsTS  oy  Indian  Casals  ; — 

The  Western  Jamna  Canal.  The  Eastern  Jamna  Canal,  The  Ganges 
Canal  The  Bari  Doab  Canal.  The  Dera  Dun  Canala.  Th« 
Bofailkand  and  Bijnaur  Canals.  The  Sarhind  Canal.  The  Agra 
Canal.  The  Oriaaa  Canals.  The  Son  Canals.  The  Baudalkand 
Canals.  The  Inundation  Canals  of  the  Panjali.  The  Canals  of 
the  Bombay  Preaideney.  The  Canals  of  the  Madras  Presidency, 
and  of  MaJaur     .......        pp.  [47]  to  [78] 

ncs  OF  BEsEHvorns  and  Dams.  — In  Great  Britain.  [7!>].  In 
England,  France,  and  India,  [80].  Spanish  and  FroDch  Dama,  [81]. 
Details,  [82]. 

[ANCiAi   Statistics  of  Indian   Reservoirs.— The  Delhi  and  Gara_ 
B,  [831    The  Bandalltand  ReservQica.  \%it\    HWirattiv^ 
Ajinir,  [80].     The  Tanla  or  RcservoiTa  of  IStoBut.VKiV 


\ 


INDIAN    METEOROLOGICAL    STATISTICS. 


•SON  BuNyAlL:— 

I. — India. — AveragCB  for  72  Stations  np  to  1872 


pp.  U)  to  (3) 


ttS   MoSIHLT  EilKFALL; — 

II.— BengHl.— For  lt>  places  before   1861.  (4).     For  48   places   np   to 

imv  or  1873,  (5)  and  (»i).    111.— Bombay.— For  24  plaeca  before 

»18«1,  (7).  For  206  places  between  1860  and  18li9,  (8)  to  (18). 
IV.— North-Weat  Provinces.— For  K!  plaeee  bflfore  1861.  V.— 
Paojab.— For  9  places  before  1861,  (17).  IV.— Korth-West  Pro- 
vioces  and  Oudh.— For  ^1  places  between  1867  and  lil72,  (18). 
v.— Paniab.—For  32  placea  between  1867  and  1872.  (lH)  and  (20). 
VI.— Madras  and  Maianr.— For  35  places  before  Ibtil,  (id)  and 
(■21).  Vll. — Minor  Provinces, — For  2 i  places  in  the  Central  Pro- 
vinces, (22).  For  24  places  in  HaidaraUd  and  Barar,  (23),  I 
16  plaices  in  British  Barmah,  (24). 


)  Special  Baihi 


I  Data;— 


.\    .Maxiuuu  Kainfalls  a 

Kitraordinarj   Rainfall  Data   for   Sontbem    India.  (25).     III. — Bom- 
bay. — For  Five  stations  in  Ten  Years;  special  falls  at 4 places,    ' 

»■-■  (26).      IV.— North- West  Provinces  and  Oudh.— For  20  places  ir     ' 
bU  years )  special  falls  at  8  places,   (27).      V. — Panjob.— For  3L 
places  in  four  years,  (28).    VI. — Madnis,  Maisur,  and  Curg.— For 
5  places.     Vlt, — Minor  Provinces. — HsidarabaU  and  Barar;  for  8    ' 
places  for  eight  years,  (2^).    Central  Provinces;  for  9  plac 
two  years,  (30). 


r  India.— For  27  places  before  1B6I.  (31)  A  (32).  For  27  places  be- 
tween 1867  and  1873,  (33)  A  (34).  Modern  Humidiiy  Data,  (3S) 
to  (37).  II.— Bengal.— For  16  places,  from  1867  to  1873,  (38). 
Evaporation  Data  of  Somliay,  Akola,  and  various  places,  (3S); 
of  Pondicherry,  (40);  of  Madras  and  ChanJaruaggar,  (41).  llio 
conditions  of  their  observation,  (42). 

H11TII>^A1.   METtOItOLOGlCAL  TaBLW: 

Monthly  Mean  Pressure,  (43)  &  (44).     Average  Monthly  Temperature, 
(45)  &  [i6).     Solar  Radiation,   (47).     Grass  Badiation,  (41j).     The 
Tension  of  Aqneous  Vapour,  (50).     Wind  Resultants,  (5lj  &  (52).    ' 
Serenity,  (63). 

Rainrall.     Evaporation  and  Hnmidity.     The  AddidDiiul  'I'uhles.     Table 
of  Giiyot  for  finding  relative  Humidities,  corresjionding  to  thcr- 
oraetrical  Readings  .....  pp.  (64)  to  (77) 


THE  NEW  YORK  PUBUC  LIBRAKT^^H 

BEPEIlll^JCR  DBPAHTMBNT                     ^^H 
Uken  from  the  Baildinc                             ^H 

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