Weir Flow Calculator

Calculate the discharge over a rectangular sharp-crested weir from the head measurement.

m
m

Flow Discharge (Q)

0.6017 m^3/s

Vazão601.7 L/s

Flow Discharge (Q) vs Discharge Coefficient (Cd)

Formula

## 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.

Exemplo Resolvido

A 2 m wide suppressed weir with 0.3 m head, Cd = 0.62.

  1. 01sqrt(2 x 9.81) = sqrt(19.62) = 4.429
  2. 02H^(3/2) = 0.3^1.5 = 0.1643
  3. 03Q = (2/3) x 0.62 x 2 x 4.429 x 0.1643
  4. 04Q = 0.4133 x 4.429 x 0.1643 = 0.601 m^3/s = 601 L/s

Perguntas Frequentes

Where do I measure the head?

Measure the head (H) upstream of the weir at a distance of at least 3-4 times the maximum head. This avoids the drawdown effect near the crest.

What is a contracted vs suppressed weir?

A suppressed weir spans the full channel width. A contracted weir is narrower, so the flow contracts at the sides. For contracted weirs, reduce the effective width: b_eff = b - 0.1nH, where n is the number of contractions.

Can I use this for a V-notch weir?

No. V-notch (triangular) weirs use a different formula: Q = (8/15) Cd sqrt(2g) tan(theta/2) H^(5/2). V-notch weirs are more accurate for low flow rates.

Aprender

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