f99630 calculation of flow rate for rectangular weir sharp crested contracted
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Calculation of Flow Rate Over a Rectangular Weir
(Sharp-crested, Contracted)
Inputs Calculations
Height of wier crest above 1.11
1 ft
yes
4 ft
1.11
2 ft
yes
Measured head over
0.45 ft H/L = 0.23
yes
If all three answers are yes, flow is fully contracted.
Flow Rate, Q = 1.92 cfs
If the answer to any of the three questions above is "no," then the Kindsvater-Carter Equation,
0.5 0.0612 3.152
0.010 1.981 cfs
(B - L)/4H =
channel invert, P =
(B - L)/4H > 1 ?
Width of channel, B =
P/2H =
Length of weir, L =
P/2H > 1 ?
the weir, H =
H/L < 0.33 ?
Q = 3.33(L - 0.2 H)(H3/2)
given below, should be used: (Use the table below and the L/B value to get values for C1 and C2. Use
the graph below and the L/B value to get a value for kb. Enter C1, C2, & kb, and Q will be calculated.)
Q = (C1(H/P) + C2)(L - 0.003)(H + kb)3/2
L/B = C1 = C2 =
kb = Q =
Source: U.S. Dept. of the Interior, Bureau of Reclamation, 2001 revised, 1997, 3rd ed,
Water Measurement Manual
L/B
0.2 -0.0087 3.152
0.4 0.0317 3.164
0.5 0.0612 3.173
0.6 0.0995 3.178
0.7 0.1602 3.182
0.8 0.2376 3.189
0.9 0.3447 3.205
1.0 0.4000 3.220
Source: U.S. Dept. of the Interior, Bureau of Reclamation, 2001 revised, 1997, 3rd ed,
Water Measurement Manual
kb as a function of L/B
http://www.usbr.gov/pmts/hydraulics_lab/pubs/wmm/index.htm
C1 C2
C1 and C2 as functions of L/B
http://www.usbr.gov/pmts/hydraulics_lab/pubs/wmm/index.htm