The Parshall Flume

THE
PAR-SHALL FI.J UME·
Illstrnctiolls for Installation .
and
Table of Discharge
As Developed by the U.S. Department
of Agriculture-~~Irrigation -Investigations
Colorado Agricultural Experiment
Station, Cooperating
Published
.'.
By
STATE :ENGINEER OF COLORADO
'.
Denver, Colorado
1994
MEASURING
GENERAL PLANS
1.
L
L
fLOW
-
CI
PLAN
VIEW
table of flume
proper
depth of water or head (Ha) that corresponds with the
maximum capacity of the ditch.
2. The proper size of flume for the most accurate and eco·
nomical operation is determined by the quantity of water
to he measured. freeboard and grade of the channel. and
possible variations of downstream water surface. Usuall y
(W) will be from
one-half
the
channel and more
head
(
3.
II
:II:
water line on the
installed, as shown
the
4. Place the surface of the floor (B) at a depth of 70 per
cent of Ha, below the high water line. Floor (B) must
be level both lengthwise and crosswise.
""~---.
Plan
concrete Parshall
showiag
lettered
follows: W, .ize of flume,
; A.
length of side wall of conYer,in" RCtion; % A, dillance baek (rom
~nd o( crest to gage point; B, uial lealth of coal'cl'liaa acetion
("floor" of flume); C. width of downltream end of flumc; D, width
of up.tream end of flume; F. lensth of throat; G, Jcaath of diver,ia,
soection; Ha, head (811&e Lei,htl; K, difference ia. elcwalioll between
lower end of fiume and Cl'al; N. depth of depre..ion in throat below
crest; R, radius of cuned willI wan. See table Oft Pile 2 for·actull
dimensions
li:a!1 of flume.
5. Place gage on side of flume at a distance upstream from
the throat equal to two-thirds the length of the converging section (A).
6.
constructed
10
the
in the accompanying drawing and
next page.
shown
the table on the
7. Special conditions of flow frequently require special
considerations in np.rd te size of flume, selling. cut-off
walls, wing walls, etc. The Stale Engineer or one of his
be ready to advise.
field
Dime........ eapIICItIee of the PanbaIIB. .urlal ftlUlle, for various throat widtha,
r:r..tten ........ A _ ' ' ' ' ! .. dn.wlDl' _
w
n.
•
.u.
A
I •.
Ft.
.,.
la.
P&.
Ja.
~
10"
1
1
1
n.
•
Ja.
c
ft •
..
n.
I ..
I"t.
Pap 1)
Ffteoon•• Capaci&)'
r
D
I •• Ft.
1
Z
0
1
1
I
0
I
S
0
0
S
S
I
:I
0
S
l'
0
8
4:
I
0
5
0
4:
8
G
10
I
5
5
5
I
8
8
0
1
0
1
1
:I
M
la.
la.
•••
Ft.
0
~
!~
I
4:~
1
1
1
,
o.ot'
1
1
8
8
0.11
0.15
1'.1
0
4:
0
0
I
5
I
I~
:I
10%
1
8
0.'1
Al
I
1
1
0.61
0.81
'1.7
9
8
8
0
0
0
0
0
5
8
0
10%
:i
10f.
'I
lOY.
8
I
1
1
I
10"
0
1
1
I
.~
0
S
0
S
,~
II
I
0
S
llJol
I
Z
I
3
0
0
0
'I
0
0
0
0
:5
8
'I
1
:I
11
•
I
J
8
9
0
0
3
S
S
0
0
0
2
R
IC
G
lOA •
•
•
• •
aft I
•t t n ll%4:fa •
•
, , • ••
I~
'Ja
"
"
oI
• • , " '" s •
s • , ."
o
• " 10/,
•o I
o ",
'%
1"
•
,
,
" • '% i z o !
,
o !s
:
I
'Vz
•
•
."
.,
z· • Is
•", o I .,
•
•
.,
:;
o IS
4M!
11K
o !.
1% z
•
I
0
w
0
0
s
S
3
3
3
3
S
3
'V,
•
•
•
•
,
II
9
9
2
Z
2
2
Z
Jlla.
••x.
Ja.
1Me.·n.
See.-h.
4:
4:
·o.OS
0.05
1.3
1••
1.8
S.•
8.'
u.s
50.4
87.9
3.0
85.8
103.5
111.4:
1.15
IS'.5
Z••
I,
Free-Flow Discharge Table
FORMULA.S USED TO COMPUTE THIS TABLE:
W-s"; Q=0.81Z Hal.",
W
8"j Q=S.07 Hal.1S
W=I"; Q=2.06 Ha U8
W-l' to 8'; q=4W H&l.52% w··126
Cau&I•• : Dllchafcel I •••a fl" II. fla.I, .p te eM II_v,. nae, n~ ....e.t Ideal
for Parshall Flumes
c.ndltl•••. Field e•• diU••• tna,. ea••e ",uta'I... IN. ille f ......I••
DISCRA.BGt:: IN CUBIC FE"~T PER SECOND FOR VARIOUS THROAT WIDTHS
Ga,e Ht.
Feet I.che.
.02
%
.03
.01
fa
Vz
%
'Ia.
1.5 Ft.
2Ft.
%.5 Pi.
a Fl.
t Ft.
SPI.
Il"t.
, Ft.
II Ft.
Feet
0.01
0.02
0.02
0.08
0.05
0.02
0.04
0.07
O.OS
0.06
0.08
0.0&
0.10
0.04
0.08
0.11
0.01
0.09
0.14
0.05
0.10
8.11
0.06
0.11
0.18
.02
.OS
.04
'A
O.OS
0.01
0.03
0.04;
O.OS
.01S
0.01
0.01
0.02
.010
.018
.011
.0zO
.OZ4
.018
.OU.081
.038
.MS
0.08
0.04
0.06
0.06
0.08
0.04
0.05
0.07
0.09
0.10
0.06
0.08
0.10
0.12
0.15
0.11
0.15
0.11
0.23
0.%8
0.14:
0.10
0.2'2'
0.16
O.'S
O.IS
0.31
0.010
.06
%
.06
~
D• •
0.17
O.ZS
0.11
0.38
0.«
0.52
0.51
.028
0.05
0.08
0.01
0.08
0.01
0.09
0.10
0.12
0.14
0.15
0.12
0.17
O.ss
0.42
0.52
0.11
0.14
0.18
0.18
0.20
0.20
0.80
0.11
0.81
O••S
.05S
.058
.084
.070
.076
0.10
0.11
0.1'7
0.19
0.1%
0.20
0.14,
0.15
0.22
0.24:
.082
0.11
0.11,
0.1'
0.20
0.22
O.H
.OM
.OM
.0011
.00'7
.002
.06
.08
.07
.08
.01
I In
.10
.11
If«
Ih-
.on
1/1
.OS1
.04.%
.04,1'
.12
.1S
.14
r'
~
tf.
H
In
ItA
.15
Iff;
.1&
.n
Itt
2h
.18
2rlr
.11
2%
.20
.n
2fa
2V:
.2:
2%
.IS
Z%
.2'
2%
Case Ht.
1 Ft.
6 I ••
3 I ••
.089
.095
.102
.1.
0.21
0.80
0.S2
0.S5
r--'-- --_.0.08
0.01
,-~,
0.11
O.IS
0.11
0.19
0.12
0.18
0.20
0.2'
0.23
0.%8
0.29
0.2S
0. •
0.80
O.S4:
0.38
0.28
0.32
0.8'7
0.42
0.47
O.4:S
0.4.
0.55
0.22
0.25
0.27
0.Z9
0.S2
0.32
0.36
0.S9
0.48
0.47
0.42
0.47
0.51
0.61
0.81
0.52
0.58
0.6S
0.61
0.'5
0.81
0.88
0.75
0.82
0.88
1.18
0.35
0.8'7
0.51
0.55
0.59
0.83
0.8'
0 ••
0.81
0.88
0.94
1.01
1.08
0••
1.11
1.eM
1.12
1.s8
1.47
1~20
1.&1
1.21
1.1'
0.40
0.4S
0 ••
0.11
0.'77
0.82
0.81
0.88
0.11
0.'4
0."
0."
OM
0.1'
0."
0.7!
0.71
0.88
0.80
0.89
0 ••
1.07
0.11
1.09
1.20
1.S2
1.«
1.11
1..18
1.Bl
1.M
2.01
1.04
1.18
1.28
1.42
1M
0."
0.'70
0.8!
0.1'
1.0'7
1.!0
1.S4
1.'1
1M
1.80
1.'0
1."
!.IK
1."
2.1S
2.80
2.14
2.a
I .•
Z••
2.11
2.-
0.Z8
0.85
0."
0.55
0.87
.0'
.08
.08
I.ch~.
r,
Vz
.La
1100
tt
l'rr
1-&
0.71
.10
o.n
.11
1-&
1.08
1.Zl
1.H
.12
.1S
.1'
In
It\Itl
LSI
1.88
1.85
Z.OS
.15
.11
.17
.18
.18
lH
Itt
t.n
t.,n
2.11
2.11
S.OI
S.!S
"n
2...,
2%
.20
.21
2Ji
.12
.23
"%
.201
2%
2~
2%
Free-Flow Discharge Table for Parshall Flumes
OaKe Ht.
..•• S'"
DISCB....GE
ni' cuBic nET . _ 8BeOND :I'Oa VA.IOUS 'rBJIOAT
WIDTHS
Oq. Ht.
r . t IMU.
Ila.
I Ja.
Ila.
I ft.
1.lh
1ft.
I .• PI.
In.·
t ft.
.'ft.
.n.
7Pt.
1ft.
.tI
.111
.114
.111
.118
0.2S
0.15
0••
0••
I.ZI
0.11
0.1'
0.41
0.11
1.10
1.11
0.11
0.1'
UI
1••
1.11
I.se
s,,81
I.sa
1M
UK
1."5
2••
I .•
2.80
1.11
1.7.
1.01
2.15
2.2'
I.M
1.1'
I."
S.II
I.B
1.1'
0.5&
1.15
1.21
1.SO
1.11
OAI
0.11
0••
I .•
1.11
1.18
1.1'
1.S0
1.1'1
1.61
1.81
1.8J
1.01
2.11·
2.2.2
1.11
1.52
1.86
S.12
S.ts
S
IK
.11
a~
.tt
.SO
1%
.31
.sz
.U
..
.14
•sa
."S%
Iii
IH
4tr
ifr
.1"
.~
.1'.
.110
.1"
.U1
.1•
. •t
.11'
I.K
1.11
1.11
1.21
1.11
1.85
5h
s~
.45
5Jl
.48
5~
'.11
0...
0.41
0.4.
0.51
1.01
1.07
1.11
1.15
.fS
.M
5 JA
I .•
0.78
0.81
0.84
0.81
.'1
•'2
.48
OoM
0.11
4H
4t1
5h-
5%
O.N
0_
O.M
0.11
0.11
0.14
0.11
0.61
0.5&
0:2'1
.40
...,
0.4,
0.11
OJSO
0.11
..ZSl
5~
0.11
o.a
4/.
ftl
.f6
0 ••
.UI
.UO
.. t
.sa
OM
0.81
0."
0.41
't.-
.11
IoU
0.441
0.11
O.U
0.11
0.10
0.1S
.IOIS
.21S
.IU
4ta-
0.44
...
.u,
o.u
0.58
.21t
.101
.111
o.es
0.10
0.14
0.17
0.85
LOO
.12t
0.8'
1.01
0.81
0.10
O.M
0.18
o.n
0.15
0."
1.01
I_
1.14
1.11
1."
I." 1.'8
1.50
1.16
1.1t
1.15
1.51
Uti
I.M
1.S0
I .•
1.41
1.11
1.88
I.OS
2.12
2.11
I .•
Z.SI
loa
loSS
2.8'
2.71
1.U
1.'0
2.88
1."
1."
1.11
t.Ol
1.18
1."
I ••
1.11
1.70
1.14
t.'.
s.,.
1.'8
loSS
I .•
1."0
t.la
1.11
1.88
1.14,
2.00
z.a
2.57
2.85
I."
IoU
1.08
S.18
s.•
2.9'
UO
S.15
s.Ia
I.H
S.12
3.11
1.10
'.10
1.91
S.ll
f.SO
S.08
S.20
".10
s.a
1.18
S.96
f.lI
'.Sl
S.II
4."
1:17
S.tI
f.U
4.88
f.01
5.0S
I.IS
zo'ra
S.S4
S.08
Soil
S.SI
•."
4.3a
1.58
4.54
4.70
S.88
4.88
S.80
S.IS
5.0S
5.20
4.22
I .•'
5.'.
5.8S
5.83
8.08
6.24
S.45
I."
'.01
f.IO
f.s.
4.15
4.08
I .•
4.14
f."
4.11
4.81
l.lS
5.11
s.
r ••
••
I .....
S
.11
S%
.27
.18
.ZI
s~
.SO
.Sl
S"
.IZ
SH
.IS
IH
.St:
~
St)
I~
S%
4.11
I.JI
5.M
lSoI.
1.20
.1Ii
.II
4.12
5.1S
5.15
5.70
S.ts
••10
8."
.S'J
'h
4ir
'il
1.06
.18
.SI
4tl
1.61
•••
6.80
8.02
8.15
••48
I.,t
'.H
7.20
'7.4'
7.8.
1.11
8••
1••
'.11
7.80
8.08
8.11
8.85
8.M
8:'8
1.M
'J.M
1.M
1.14
8.55
.0
.'1
.,%
.,.
'h
'H
ttl
sn
Ih
.f4.
I~
8.87
'.18
8.51
.45
.f&
6%
.41
5%
I.M
.M
.D
5~
10.2
&~
5%
Free-Flow Discharge Table for Parshall Flumes
DISCHABGE IN CllBIC FEET PEa SECOND FOB VARIOUS "THBOAT WIDTHS
GaKC Bt.
Fee* bchH
.60
.51
.52
6
IVa
3111.
.388
.53
.54
6%
.350
.361
.371
6Yz
.382
.55
8%
.S9S
.58
1%
.57
8M
.4M
.415
.427
.438
6%
.58
.58
6tt
.60
'7-h
71i
7-h
7-b
.61
.82
.63
.6'
'7t'r
7tl
.450
.462
.4'74
.485
.497
.65
.66
.67
.88
.68
8~
.548
.558
.'10
8J1
.11
.72
.'73
•'74.
7ti
7ft
.509
" .522
.;5S4
, I •.
lb.
1 Ft.
1.5 Ft
1.06
1.10
1.1S
1.39
1.U
1.(8
2.08
2.1S
1.16
1.5~
1.20
1.57
2.%5
2.S%
0.80
0.82
0.85
0.81
0.89
1.2S
1.26
1.30
1.38
1.S'7
1.ez
1.86
1.'70
1.75
1.80
0.92
0.94
0.9'7
0.99
1.02
1.40
1.8'
1.44
1.48
1.51
1.88
1.93
1.98
2.0S
UK
1.59
1.68
0.68
0.'71
0.'78
0.76
0.'78
1.55
1.07
1.10
1.12
1.'70
1.15
1.';4
.571
1.17
BYz
.SM
1.20
1.'18
1.82
8%
.597
.610
.628
1.23
1.86
1.26
1.80
1.M
8n
8h
8%
8%
1.28
1.86
2.08
2.13
2.18
2.48
2.4:8
S.12
S.68
3.77
2.55
9.25
10.8
12.2
"-.55
5.36
&.88
5.53
3.08
8.81
'1.09
'7.30
'1.52
8.98
3.1'1
S.94-
3.26
4.05
3.35
4.16
4.28
4.39
4.70
4.84
4.98
5.11
5.25
3.91
".01
4.:il
4.6S
4.15
4.87
4.98
4.11
4.20
5.11
5.2S
4.30
5.S6
5.48
5.61
Z,99
3.62
3.54
.50
.51
.52
.53
.54
6
10.5
10.5
10.9
11.2
11.5
11.9
4.05
4.18
4.31
2.'7S
2.80
2.81
2.95
3.02
Z.SS
9.23
9.5S
9.8S
3.39
8.50
S.61
3.1%
S.8S
3.53
8.48
'7.94
8.20
8.46
8.'12
2.'73
2,8Z
2.90
3.«
2.88
IDche.
4 Ft,
2.66
2.23
2.28
Feet
3 Ft.
2.S9
2.45
2.52
2.59
3.17
3.24
3.31
3.38
In.
:UFt.
2.19
3.08
7Ft.
. 2 Ft:
S.72
. 3.81
"
4.40
4:.50
4.60
4.70
4.81
....'1
5.02
5.'74.
5.86
5.88
8.12
6.25
4.44
4.57
5.70
5.88
8.ot;·
liFt.
"- - 7.146.2S
Gal'C Ht.
S Ft.
- --
10.1
6.41
7.91
9.52
11.1
12.6
.56
6.59
6.'71
6.96
8.20
9.'79
13.0
8.4S
8.66
10.1
10.'
11.4
11.7
12.0
13.S
13.'7
.57
.58
.59
5.89
5.58
5.68
5.82
5.87
'7.15
7.S4
1.5S
'7."2
7.91
8.89
9.13
9.S'7
9.61
9.85
10.8
10.9
11.2
11.5
11.8 .
12."
12.'1
13.0
lS.4
18.7
14..1
14.5
14.8
15.2
15.6
.60
.61
.62
.63
.64
6.12
8.11
6.26
8.41
6.56
6.i1
10.1
10.3
14.1
14.4
8.61
8.71
8.81
12.1
12.4
12.'7
13.0
IS.S
14.8
15.1
15.5
16.0
16.416.8
l'7.Z
1'7.8
6.88
7.02
1.11
'7.SS
7.49
8.11
9.32
9.5S
9.'74.
9.95
18.6
15.8
18.0
- -"
.oro
13.9
16.2
18.5
.'71
1'.%
14.5
14:.9
16.6
16.9
1'7.S
18.9
19.5
19.'7
.72
.78
.14
8.31
10.6
10.8
11.1
11.4
11.6
11.9
12.1
12.4
r- ""---
6~'1
6~
6f•
SYz
--
6%
6%
6 JI ;'U
6H
..'7-h
---
7ft
7-(-G
7T~
..
'7h
'7fi
_-
.65
.66
7HIU
.87
.68
.69
8"rr
'It!
8t\8%
_._--
8*
8Yz
8%
8-%
BY.
I
CII
I
t'ree-Flow Discharge Table for Parshall Flumes
Galfe Ht;.
Pet't
I.c.e.
3 III.
9
" ..
eVa
.84.1
9%
•88%
1.1'
1.11
_BYz.
•%
.889
1.'2
.102
1.45
Ira
. DIBCHAaGE
I~
I ft.
un.
2.01
2.08
Z.I•
a.1I
%••
'.01
2
n.
I.U
5.M
2.1 Ft.
I ft.
.. ft.
• n.
1.1%
••16
'.II
7.1T
10.2
le.4.
10..
10.8
11..
lS.1
•.'.I!7'
B.IS
8.30
11 ••
11.S
11.1
1,%
1.60
I .•
8.00
11.1'
11.'
12.1
•.11
11••
12.1
'.22
8.01
1.1'
8.M
••IS
6.01
1.58
5.10
5.11
••80
10.2
'.n
10.'
1.82
10,0
1%.8
11.1
IS.I
IS.•
IS.I
14.•
u.s
7.11
1"-4
.9'7
.946
1.97
.98
.981
.91"1
2.00
•99
%.08
S.OZ
S.II
3.88
S.N
Ga.,e Hi,
CUBIC PKET PEa SECOND POR VA.IOUS THao'&T WIDTHB
I I•.
5.11
'7.88
••••
'.86
11.4
11.•
11.8
1'.8
15.0
16.3
U.S
15.8
IS.I
1...
1...
.ft.
7Ft.
11.1
11.1
11.1
1• .1
1• .1
17.7
1'.•
1'"
15.1
11••
17.1
1'7.1
1'1.1
1'.1
15.5
Hoi
1'"
In.
IU
1..'
11.0
.on
1U
:et.l
1• .2
..I'",
II.,
•7.
•.,.1
1'"
21.4
11.2
hot
zt.l
J5.1
H ••
~.s
21.7
15.1
1'••
11.S
18.'
II.'
11.:1
22.'
%5.1
1...
II.'
IZ.I
IS.I
21.1
21.5
II.'
ze..
17.2
17.6
20.'1
!i.O
11.4
11.'
2'.'1
14.1
1'f.0
2'7.5
21.1
11.5
18.'
18.8
18.1
11.4
19."1
21.1
IZ.'
:&1.2
21.6
..71
.,.,
U ••
11..
H.O
1'.8
18.1
Feet I_c...
!,.a
M.t
...
...
.81
.82
..s
1%
I~
Bf•
IVz
9%
8%
It.!
Btl
lOt.-
.85
.18
.17
.88
.11
101«
.80
10M
.11
10tt
.IS
Hir
llh
.n
I°ir
1O-h
10M
II.'
".0
.K
Il~
N.!
21.5
10.0
,II
.M
11Vz
SO.5
'.11
.9.
11%
Sl.O
SI.6
!II"
M.'
2'1.1
27.'
.99
tI
11
11%
Free-Flow D1scharge Table for Parshall Flumes
PJo:g
S"~COND
Z Ft.
1.00
1.01
1.02
1.03
1.0'
12
12%
121/4
.992
1.01
1,02
12~
1.04
1.05
12%
2.06
2.09
3.0'7
3.12
1.05
12+'3
12,%
1.07
121;l
1.08
12~;~
1.09
13 11;;
1.07
1.09
1.10
1.12
1.13
113,::
1.15
1.10
1.11
1.12
1.13
1.14
18 t;-;
13t.:
13,.Jt,
13~ .t
1.J6
1.18
.20
1.21
2.29
2.3%
3.40
9.45
6.4.7
8.56
6.66
6.75
6.85
8.88
8.76
8.88
9.01
11.1
11.3
11.5
11.8
18.1
9.14
11.'
18.3
6.95
7.04
7.14
7.24
7.S4
9.2'7
9.40
9.54
9.61
9.80
11.6
11.8
18.'
9.94:
U.4
12.6
14.9
19.9
ltO.2
5.08
5.15
7.44
7.54
7.64
7.74
12.8
20.6
20.8
25.S
25.7
28.0
IS.1
15.3
15.8
15,8
21,1
26.4:
13.S
UI.O
21.3
21.8
%1.9
%6.7
21.1
32.1
2'7.4
18.8
:U:.2
27.8
3S.0
SS.,
11.8
22.S
28.1
au
3.55
3.60
4.62
4.68
4:.75
2.53
3.75
2.57
3.80
4.82
4.88
131Hi~
1.22
1.25
1.17
1.18
1.19
14,',;
1.26
14,,"',;
1.28
1.30
2.68
2.71
9.95
4,01
5.21
7.84
1.32
1.33
1.35
1.37
1.38
2.75
4.06
5.28
7.94
8.05
8.15
8.25
1.20
1.21
1.22
1.23
1.24
14¥&
14Yz
1-1%
14~4
14,%
2.88
2.89
24.0
4.31
4.37
4.4S
4.50
13~
141~
20.0
20.3
20.8
21.0
3.26
1.15
1.16
;:
, Ft.
8.00
8.12
8.%5
8.38
8.50
4..56
2.40
2.43
5 Ft.
8.00
6.09
8.19
8.28
6.3'7
-~
1.06
3,
4-.00
4.06
4.12
•. 18
4.25
3.21
2.19
FOB VARIOUS THROAT WIDTHS
4..2%
4.27
4.94
5.01
5.34
5.41
5.48
5.55
8.S'
10.1
10.2
10.3
10.5
10.8
10.8
10.9
H.O
11.%
10.0
12.0
18.0
10.2
12.2
16.3
10.3
10.5
11.5
18.8
11.0
10.6
n.s
10.8
1.0
1.9
12.1
12.3
12.9
U.7
13.3
13.6
13.8
14.0
18.9
18.1
18.4
19.7
Gaet Ht.
Ft.
Fert
32.0
52.5
1.00
Inch~
12
12%
2".8
25.2
25.8
28.0
28.:i
28.9
29.4
29.8
21.6
21.9
22.3
22.8
22.9
25.9
SO.8
12%
26.S
SO.7
SI.2
12¥o!
26.'7
27.1
27.5
31.1
32.1
12:=
21.$
25.6
21.9
24.3
21.9
28.4
32.6
38.1
13i'~i
Z8.8
SS.6
3".1
n.3
2'.6
%S.O
24.'
29.2
29.8
30.0
SO.4
SO.8
31.3
31.7
12.5
1.01
121;.(
12 ¥a
12Yz
12Ht
13l 'TI-
1.12
1.1S
1.14
34.5
S• .s
36.0
40.1
40.6
41.2
41.8
1.15
1.16
42.S
1.19
31.5
38.0
58.5
4:Z.9
1.20
89.0
S• .lS
«.8
4S.Z
35.5
36.0
3&.5.
87.0
1.17
1.18
lS,:';j
13Y;
13f!.~
1SH
13::L
ISH
14-tG
14:-h
141,4
14~
14Y,
14%
1.23
1.24
14%
14%
~
Free-Flow Discharge Table
DISCHAaGt~
Ga.e Ht.
:Feet
behee
1.25
15
15Ys
i.40
1.27 IGIA
1.%8 15'tI
15Vz
1.4"
L30 15%
1.49
1.50
31n.
1.4,5
ID.
"'t,
1.5 Ft,
% Ft.
2.5 Ft,
3 Ft.
2.9S
4.32
11.S
11.5
U.&
17.0
14.3
1'7.2
23.0
S.OI
S.04:
8.46
8.56
8.67
8.'77
8.88
14.2
4.S7
4.48
4.48
4.59
5.62
5.69
5.76
5.82
5.89
14.5
14.'7
U.9
17.4
17.'7
17.9
23.3
23.6
28.9
8.99
9.09
9.20
9.30
9.41
12.0
12.2
12.S
4:.80
5.96
8.03
6.10
8.18
6.25
15.1
15.2
15.4
15.6
15.8
18.1
18.S
18.5
18.8
19.0
24.2
24.5
24.8
25.1
25.4
4.86
4.92
4.97
5.03
5.08
6.32
6.89
6.46
8.5S
6.60
9.52
9.63
12.7
12.9
13.0
16.0
IS.2
16,3
16.5
16.7
19.2
19.4
19.6
19.9
20.1
25.1
26.0
26.3
26.6
26.9
5.14
5.19
5.25
5.81
5.S7
16.9
20.S
6.75
6.82
6.89
6.97
17.1
20.6
20.8
27,2
27,5
27.8
28.1
28.5
1.SS
1.S4:
ISH
1611,
1.56
1.35
I ••
16Jt
ISh
1.58
1.59
S.SI
S.S5
1.18
1.St
16h
16H
1.68
1.65
S.48
3.47
1.89
3.55
1.7'
S.8S
S.67
15%
1.ti4:
16H
1.41
1.4,3
16H
17*
1.44 11%
17
nv,
1.48
1.,17 17%
L-t8
17%
17%
1.78
1.80
1.82
IN CUBIC FEt:T pt;a St;COND FOR VARIOtIS THROAT WIDTHS
In.
3.1Z
3.16
S.19
3.23
3.27
1.SI
Parshall .Flumes
3.75
8:79
S.83
3.87
4.59
4.64
4:.88
4,175
11."
11.9
12.4
12.6
-
5.42
5.48
5.54
5.59
5,65
6.68
7.04
'J.12
'7.19
7.26
7.34
9'.14
13.2
9.85
9.96
13.S
10.1
10.2
10.3
13.5
13.6
1S.8
10.4:
n.D
10.5
14.1
10.6
10.1'
10.8
11.0
n.l
14.2
14.4
14.5
14.7
14.9
17.S
17.5
17.6
17.8
18.0
18.2
18.4:
18.6
21.0
21.2
21.5
21.7
21.9
22.2
22.4
Galre Ht.
" i·t.
S Ft.
fI.
'1 Ft.
• Ft.
Feet
22.8
28.5
34.S
85.1
29.6
35.6
45.8
48.4,
47.0
4:'.6
48.2
1.%5
1.26
29.2
4:0.0
40.5
41.1
41.6
42.1
42.6
48.8
1.80
1.S1
1.32
1.33
1.S4
......--_.
30.3
SO.7
Sl.l
81.4
31.8
36.5
36.9
32.2
' - 1---"'-- f-32.6
38.0
33.S
3S::
34.5
85.S
85.7
37
15Va
ISlA
15%
15Vz
IS%
15%
ISH
ISH
37.8
38.3
50.0
50.6
51.2
38.7
39.2
45.S
45.8
51.8
52.5
5S.1
5S.7
54.S
1.S5
1.36
1.37
1.S8
16·h
1811
loS9
16H
55.0
56.6
56.2
.!)S.B
VlO
1.41
1.42
VIS
1.44
...
1.45
1.46
1.47
1St¥.
1SH
4&.4
40.1
40.6
41.5
4:2.0
42.5
42.9
..-._-- .-
15
4S.7
44.2
44:.'7
48.9
47.'
48.0
28,8
29.1
36.5
29.4
36.9
29.7 . : '37.3
30,0
'119.4
1.2'7
1.28
1.29
IDch""
~
43.9
44,4
44:.9
4:8.5
49.1
49.8
50.2
50.8
51.S
51.9
5Z.5
5"1.5
58.1
58.8
59.4
60.1
60.7
ISh
18f.r
16h
17-h
11ft
1'7%
11f.
.-
17~
17%
1.48
17~
1.49
17%
Free-Flow Discharge Table for Parshall Flumes
Gaee Ht.
DISCHARGE IN CUBIC FEET PER SECOND FOR VARIOUS THBOAT WIDTHS
n.
Feet
behe.
3 Itt.
, In.
lla.
1 Ft.
1':;0
18
1.86
3.91
5.71
5:17
7.41
7.49
7.51
7.64
7.72
11.2
11.3
11.•
IUS
11••
11.9
12.0
1%.1
12.2
1.51 18~
1.52 18%
LSS 18~
1054 18'/:
r
••••
·
"
"'
~
..
·
.....
~
"<.
+ ...
4 ..
.,
......
. ..
..
8.00
6.08
'7.80
.....
........
.... -
6.11
8.18
8.!4-
1.95
8.02
8.10
8.81
8.18
••S'I
••4:S
8.28
8.S4
8.U
12.4
12.5
12.6
12:1
8.4'
6.81
8.8'7
.......
..
..
1.55
1.58
1.''1
18%
18%
18H
.......
1.158
I8H
·.
1.59
191'1
.......
• + • .o.o
1.80
1.81
1.82
1.88
lIn
I8h
IBh
lBh
'"
·, ... .
......
· ....
1.64:
l·tt
1.86
1.68
1.67
19H
",
~
,
..........
·.
·...
~.
1.88
1,89
20~
..
20%
..
......
......
......
......
1.74:
I ~ ....
•
.......
w
• w ~. " "
I
~ ~
~
_
•••
• r ••••
.......
.
~
~
JOn
20-h
1.70 20+1
1.11 20%
1.72 20%
1.'73 20~
~
~
~
lett
S.89
5.94
1.5
~ ~
..
.......
........
.
5 Ft.
S Ft.
'J Ft.
R Ft.
Feet
15.0
15.2
18.8
19.0
18.2
19.'
19.6
22.6
22.9
23.1
23."
28,6
SO.S
SO.1
31.0
31.3
Sl.8
38.1
S8.5
38.9
38.S
45.8
48.S
46.8
·U.3
4'7.8
51.8
54.2
54.7
55.3
61.4:
62.1
62."1
68.4
64:.0
1.50
1,51
1.52
1.5S
1.64
19.8
23.8
24.1
24.S
32.0
32.3
40.1
40.5
40.9
41.S
,41.8
48.3
48.8
48.3
56.5
64,7
65.4
66.1
1.55
42,2
42.6
43.0
43.4:
4S.9
50.8
15.3
15.5
15.6
15.8
15.9
18.1
16.4
20.2
20.4,
20••
24:.8
n.o
12.8
17.1
17.%
21.4
21.8
%5.5
25.8
28.0
8.57
8.65
18.0
IS.1
17.4
11.8
8.78
8.18
18.2
1.79
8.81
8.89
IS.S
13.6
I 11.8
21.8
22.0
22.2
221.'
18.0
%2.7
2'.0
21.3
8."
9.05
IS.'
18••
22.'
1'7.8
IS.'7
18.8
13.9
18.4:
%S.1
18.5
18.'7
zs.s
14..1
18.'
2'7.8
!8.1
28.S
28.6
8 ....
••55
6.86
6.88
7.0.&
7.11
7.1'1
.~""'-
4 Ft.
2f),1
2t1ioS
8.92
.......
· .......
3 Ft.
20.8
. ..
~
Z." Ft.
18.8
18.'7
18,'
·........
,~
7.8'7
B.lS
9.11
Gael! Ht;.
%Ft.
17.7
21.5
28.S
28.6
ZS.8
8%.8
82.9
8S.3
SS.6
3S.9
3'.S
84.,8
84.9
35.S
56.6
35.9
S8.3
50.3
57.7
58.2
58.8
6'7.4
1.5'7
1.58
1.58
raehlCS
18
.18%
18~
18*
18Y,
18%
18%
18H
18H
n
19
1.8.0
19ft
80.0
88.8
68.5
USI
19h
IIi,
52.8
61.2
61.8
70.2
70.8
1.68
1.64
19/i
18H
U.S
44.1
5S.S
62••
71.6
'72,8
1.85
19H
19M
46.1
'73.0
84.9
7S.'
74.4
1.61
1.88
1.69
,n.s
59.'
51.8
5%.3
&S.O
8S.8
se.e
46.0
54.<1:
51.9
55.4
'7.0
S7.!
37.7
38.0
38.S
48.4
56.0
8&.5
75.1
4,8,.
58,5
57.0
5'7.5
68.1
. 68.7
87,S
4:5.6
·n.s
.'.7
68.1
64.3
1,86
20-h
201\
20~
ZOfl
75.8
71.5
1.70
1.71
1.12
20,",
'77.2
1.1'
ZO~
'71'.9
2fJo/a
Free.. Flow DIscharge Table for Parshall Flumes
....
Q
DISCHARGE IN CtlBIC Ft:.ET PER S ..;COND FOR VARIOUS THROAT WIDTHS
Gal{e
Feet
1.75
belles
21
1.78
1.'17
1.78
1.'79
31:\.
6Ia.
Sin.
I. Ft.
'7.23
'7.29
7.SS
'7.42
'7.f8
9.38
9.46
7.M
•."
9.62
9.70
Ft.
14.3
14.4
11,2
14.8
14.7
14-.8
7."
7.81
9.79
9.87
9.85
10.0
10.1
1.85 22fr.
1.86 22j1ar
1.87 1
1.88
1.89 22H
7.8'7
7.94
8.00
8.06
8.13
10.2
10.3
10.4
10.5
10.5
115.5
15.6
15.7
16.0
21.5
22Hl
10.6
10.7
10.8
10.9
11.0
16.1
16.2
16.4
16.5
16.6
21.6
1.9S
1.94
8.20
8.26
8.38
8.40
8.48
1.95
1.96
1.97
1.98
1.99
8.62
8.59
8.66
8.'73
8.80
11.1
11.1
11.2
16.7
16.9
17.0
17.2
17.S
1.90
1.91
1.92
2SYz
23%
2S~
2S!4
11.8
11.4
4Ft.
28.8
29.1
29.S
29.6
29.9
89.0
S9.4
39.';
40.1
49.5
49.9
50••
80.1
80.8
81.6
40.S
60.8
40.8
41.2
U.S
1.80
1.81
1.88
1.84:
SO.l
80.4
1.80
1.81
1.82
1.83
1.84
7.81
'7.68
3 Ft.
115.0
15.1
lS.S
15.8
58.6
88.6
B Ft.
78.7
11U,
.u.5
51.7
II.•
S2.2
12.9
M.5
41.9
52.6
31.5
31.7
82.0
32.S
32.5
42.2
42.6
M.O
M.6
43.0
6S.1
U.6
M.O
43.S
4S.1
54.9
88.S
77.8
«.1
55.4
8&.8
78.2
58.S
16.8
5'7.s
81.8
68.6
18.8
80.2
82.8
SS.1
8S.3
33.6
3S.9
28.6
28.8
29.0
29.2
'7 Fl.
30.9
81.2
8'.1
22.7
23.9
29.1
23.2
8Ft.
82,S
88.0
SS.8
so:,
15.2
38.'2'
Ft.
4a.6
4B.l
84.4
34.7
35.0
35.3
44.4
44.8
45.2
45.5
45.9
46.3
46.6
47.0
47.4
85.S
15.0
'21S.6
88.0
88.8
87.5
88.S
88.0
89.8
80.5
9l.S
92.1
n,8
5'7.7
93.S
58.2
&8.7
59.1
59.8
M.4
95.1
85.9
96.7
1.75
1.76
1.''7
1.78
1.'79
1.8%
1.85
1.88
1.8'7
1.88
1.89
22t!
1.90
1.91
l.ft
1.9S
2ZHr.
22H
1.M
~
1.15
1.96
1.97
1.98
2Syz
ZS%
1.99
ISnISh
fa
18+4
2 S V.
-Free-Flow
Discharge Table for Parshall .Flumes
.
Ht,
Feet beke.
2.00
2.01
2.01
Z.OS
24
24 !Ii
24
1'+1
U'h
2.OS 14.%
2.
DI8CHABGE
S I ••
Ila.
8.8"1
lUi
11.6
11.
11.8
11.8
-
11.9
U~
1.01
liti
12.0
11.1
U+t
12.2
I6fr
1.10 1&&
I.U 15-&
I.U Z6tr
2.1S JGh
2.14 2SH:
2.16
2.18
z.n
2.18
2.10
1.11
1.2J
2.:S
."
11.'
12.'
1%.8
11.•
12.8
U.,
12.8
12,8
13.0
IS.1
13,2
0
1"1.8
18.0
18.1
I.' I't.
I Ft.
tFt.
.. Ft.
.28.4
41.8
23.8
28.8
48.1
24:.0
24.2
48.9
48.8
24.3
48.'2'
10.1 I
72.5
80.6
73.1
81.0
73.7
8J.5
74.2
82.0 , '4.8
-:---182.6 ~ 76.'
J Ft.
81ft.
2.Ge
I."
1.01
(!1JRIC FEET PEa SECOND PO& VA.IOUS THROAT WIDTHS
48.5
1'.5
14.'
81.1
11.'
S8.1
11.6
11.8
11.8
18.0
18.2
19.3
16.•
11,8
SI.O
S!.I
11..15
32.7
IB.8
88.2
SI,5
S8.0
11.1
S8.8
40.1
II.'
18.1
18.5
18••
11.1
20.2
20.3
",.
16.6
25.'
H.8
28.0
••2
21.&
21.8
28.8
21.0
Il.S
sa.•
SI.'
I U.a
IU I 83.'
al.1
8 ••'
8&.8
aG...
IIA 1 &5.8
51.8 :;
a2.0 I
152.8
,.
U.fi
88.8
as.8
67.t
&1.9
N.S
H.'
88.9
65.5
28%
28,%
2'.8
5"1.1
58.S
56.'1
Feet
91.5
98.3
99.1
99.8
101.
2.00
2.01
88.4
88.1
89••
80.4
101.
101.
lOa.
81.1
101.
1'8.'
11.8
'1'.0
79.8
SO.2
80.'
9S.S
N.G
94.7
101.
108.
10'.
108.
109.
81.4:
95.'
96.1
I 'I'.'
",.•
1"1.1
82.8
82.6
8S.Z
M.9
85.6
8'1.0
8'J.'7
u.s
8a.8
$15.1
M.'
."
68.4
58.2 i
%1."
2'.S
2'UJi
2'.'7
IO~
I
1Ft.
• Ft.
. '8.•
50.'
.,.8
.1.1
a'.5
Gap Ht,
70.4
84••
86.0
85.6
88.3
88.9
98.8
91.'7
101.
102.
11M.
lathe.
24
24Yi
2,1,4
2.02
2.0S
uy.
2.04
2tVJ
2.06
1.06
t.O'l
2.08
2.0B
14%
2.10
2.11
25h
24%
UH
UH
2st.
2Sh
,2.12
2.1S
25h
25ft
2.14 I
25n
I
110.
110.
lU.
In.
2.US 2SH
2.16 I 25H
2.n 28rc
2.18
28,.\
llS.
2.19
26~
114.
11 •.
115.
2.20
2.21
2.22
2.28
28+l
116.
117:
2.24
28Vt
....,
~
,E'ree-FJow Discharge Table for Parshall Flumes
G_.I; HI,
Feet
I.cllft
2.15 2T
2.11 !'~
I.n
z••
ua
27%
tTY.
fYz
1.10 17%
2.11
1.11
17~
""~
....
w_* ....
.. . . . . . . a
...........
·.......
·..
"''''",
".,,"''''4'
l.u "lI
17+1
.... "'"
28tr
281\
....... ..
2.N
S.s5
2.11
Z.I'J
1.38
2.se
UO
"''''''
"
........
IS..
14..0
--
.... ,.
ill.·. . .
..........
1'.1
1'.1
1"
1'.1
I.Y.
29%
'%
so
....
. . " .....
"'
.......
.........
..........
.........
.......
.........
...........
...........
..........
.......
... -...
15.1
16.1
~
........ w'"
~
...........
11..
..
.........
..........
16.1
U5."
"'""".
.........
........ ,,"
..........
.., . -...
........
.m .....
·"'''' ....
.........
"'
......
.........
17.'
1'.8
frU
".1
41.4
10.&
10.8
81.1
715.1
".1
S7.'
11.1
'G.1
4:8.0
81••
10.6
10.8
11.8
H.1
'1.1
7'1.8
".1
71.2
16.0
40.&
.0.1
as
15.8
It.,
18.1
83.5
M.O
M.5
Sl.'
·41.'
"1.1
'I."
.1.1
41.&
"8.8
60.1
85.1
6'1.9
1M.
118.
11'.
1•.
2.17
2.16
120.
IlL
2••
1.11
...I
81.1
8LI
6.5
81.1
101.
101.
w.
UI.
1.10
1...
1M.
".8
N.4
eG.7
111.
UI.
110.
Ill ..
lIZ.
112.
113.
114.
2.11
1.11
..It
2.1lI
2.M
z."
128.
lZ'7.
IZ8.
2.37
110.
I.S8
u •.
z.sa
l.sa
27
17%
271A
-Z7tt
Yz
"%
.7%
2'M
IT",
Ian
2Sh
28*
2Iir
%Sir
28H
28M
llf.
Ill.
118.
11'.
lSI.
IS!.
1I!.
111.
2.40
2.'1
2.61
2."
II&.
2.M:
I'~
1.&1
2.MII
.~
118.
111•
1...
118.
2.'8
lOS.
119.
120.
Ill,
119.
%.,.
104,.
111.
140.
%.10
n .•
88.s
81.4;
lOS.
I.cBt.
....
105.
1M.
87.0
If"
•
les.
It.S
10.8
aIS.e
11.7
11.'
12.1
SI.I
0.5
0.1
tH.I
~:±!!~t-""'t
t Ft.
18.1
88.7
81.•
10.0
taoS
.....6
I ...
".I
aPi.
87.6
1••,
~.1
11.1
11.1
".0
81••
'17.1
st.1
21.1
21.5
Ii.8
".441.7
e.o
71.t
" .•
"..
Sl.1
18.1
14.1
80.0
11.1
2'.1
7e.0
".J
&U
:!I.O
11.•
11.'
11.0
0.8
73.5
16.0
11.1
II.'
IS..
a.'
lUI••
1t.8
s•.a
10.7
~
51.5
61.8
I8.S
51.1
1'.1
Dol
n.a
ZIft
'" "''''
11..
II.'
sa.l U.O
sa., u.s
Ie.,
".1
SO.S
D.I
11ft
11.1
, ft.
... . .
ft.t:
H.5
21.8
.........
............
11.1
s :rt.
%.1 :n.
SI.1
14.'
..........
.........
ZLZ
ILl
.... t .......
.........
.............
• .1
%loS
If.'
. ......
ZI!t
20••
21.0
21.1
14.'
11.0
. . . . . . w ..
1Ft.
. ...........
........
"''''
1.1n.
14.1
"'''' ~
2••
I .•'
...........
""
~""
IS.
.. ........
·..
I""
IIh
2."
2.M %8%
2,'2.48.,
...
.. ......
'" '"
.......
In.
lin
1.0
2.U
........... .
I I•.
........ "
2.40
1.0.
~
er•.
_.... -..........
...
...........
.",......
"',. .....
"' ........
..........
.......
..... ....
2811
.,
DISCBMUlE IN CUBIC FEBT PEa .ZCORD.-DB VABI01JS TRBOA.TWIDTHS
, ID.
".9
IB.8
100.
101 •
102.
lot.
2."
28fi
28tr
Dt\
2."
28%
%
SO
,I
.
.,.
.
.
otOO~------------~------~------'-------~----~~----~r-~~~r-~~~~~~
:J:
:E
~ 80+-------+---~~~----~----
-
~
x
,
<:t
'''70 °/0 Submerg"enCe
~
u.. 60~-----4------~---7~~~~~~~--+-----~~-----r------+------T------;
o
.-.
z
LU
100 = Perce·nt sub'mergence
Hb X
Ha
40~----~~~~~~~--4-----~~-----+------~------+-------r------r-----.
o
a::
ILl
~ 20r--'~~~----~------~__--~~------+-------~-----;------~------:r----~
Z
c
.X
______~______~____~~____~______~______~____~~__________~
. 10
'20
30
. 40
50,
60
"7·0
80
,90
100
O~----~
o
1
I
•
PERCENT OF MAX.JMUM Q
Typical discharge cur.ves for Parshall flume~ with free flow and with submerged condiHons.