Free Weir Flow Calculator
Calculate the discharge over a rectangular sharp-crested weir from the head measurement.
Flow Discharge (Q)
0.6017 m^3/s
Flow Discharge (Q) vs Discharge Coefficient (Cd)
Rectangular Weir Flow
A weir is a barrier across a channel over which water flows. The flow rate relates to the upstream head.
Formula
Q = (2/3) Cd b sqrt(2g) H^(3/2)
where Cd is the discharge coefficient, b is the weir width, g = 9.81 m/s^2, and H is the head (water depth above the crest measured upstream). This formula applies to rectangular, full-width (suppressed) weirs.
Example Calculation
A 2 m wide suppressed weir with 0.3 m head, Cd = 0.62.
- 01sqrt(2 x 9.81) = sqrt(19.62) = 4.429
- 02H^(3/2) = 0.3^1.5 = 0.1643
- 03Q = (2/3) x 0.62 x 2 x 4.429 x 0.1643
- 04Q = 0.4133 x 4.429 x 0.1643 = 0.601 m^3/s = 601 L/s
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