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The length of a rectangular weir is L and height $$H_1$$. The maximum depth of water on the upstream side of the weir is H. Flow rate over the notch (Q) is
$$Q = \frac{2}{3}c_d L\sqrt{2g}H^{\frac{5}{2}}$$
$$Q = \frac{2}{3}c_d L\sqrt{2g}(H - H_1)^{\frac{5}{2}}$$
$$Q = \frac{2}{3}c_d L\sqrt{2g}H^{\frac{3}{2}}$$
$$Q = \frac{2}{3}c_d L\sqrt{2g}(H - H_1)^{\frac{3}{2}}$$
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