The Francis formula for discharge over a rectangular wier without end contraction is

1
\(Q~=~\frac{2}{3}C_dL\sqrt{2g}H^{\frac{3}{2}}\)
2
\(Q~=~\frac{1}{2}C_dLH^{\frac{3}{2}}\)
3
\(Q~=~1.84C_dL\sqrt{2g}H^{\frac{3}{2}}\)
4
\(Q~=~1.84C_dLH^{\frac{3}{2}}\)

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