Gravity-Affected Flow from Planar Sluice Gates

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Abstract
Conformal mapping and the Riemann-Hilbert solution to a wellposed mixed-boundary-value problem are combined in solving the problem of gravity-affected flow from planar sluice gates of arbitrary inclination. The solution is obtained via a rapidly convergent, iterative procedure using a high-speed digital computer. Primary results include the contraction coefficient and the downstream free-surface configuration. The results compare satisfactorily with the results of other investigators. For the problem as posed, the solution given is exact. The solution requires only a modest amount of computer time.

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