Abstract

A two-dimensional numerical procedure has been developed for the calculation of both supercritical and subcritical, steady flows in open channels with curvature or varying cross-sections. The flow is assumed to be fully mixed in the vertical direction so that vertical variations may be neglected. The mixing length hypothesis of Prandtl is used to specify the turbulent diffusion coefficients in the calculation of subcritical, turbulent flows. The present predictions of the wave heights and the wave angles of the supercritical flow in various channels agree very well with experimental data, except at high Froude numbers. The present predictions are equally good or better than those calculated using the method of characteristics.

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