Hydraulics and Fluid Mechanics in ME
The discharge through a wholly drowned orifice is given by (where H1 = Height of water (on the upstream side) above the top of the orifice, H2 = Height of water (on the downstream side) above the bottom of the orifice, and H = Difference between two water levels on either side of the orifice)

Q = Cd × bH × √(2gh)
Q = Cd × bH₁ × √(2gh)
Q = Cd × b (H2 - H1) × √(2gh)
Q = Cd × bH2 × √(2gh)

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Hydraulics and Fluid Mechanics in ME
The discharge over a rectangular weir, considering the velocity of approach, is (whereH1 = H + Ha = Total height of water above the weir, H = Height of water over the crest of the weir, and Ha = Height of water due to velocity of approach)

(2/3) Cd × L. √2g [H13/2 - Ha3/2]
(2/3) Cd × L.√2g [H12 - Ha2]
(2/3) Cd × L.√2g [H1 - Ha]
(2/3) Cd × L. √2g [H15/2 - Ha5/2]

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