Inviscid Solution for the Problem of Free Overfall

Abstract

The flow problem of free overfall has been examined through hodograph transformations. It has been found that even with strong influence of the gravitational field, the stream function can be solved in the hodograph plane through numerical calculations. The velocity functions of the two free streamlines must be determined through iterations and it has been found that this iterative process is rapidly convergent. Favorable agreement of the results with the experimental data substantiates the fact that this method is effective in dealing with flow problems strongly influenced by gravitation. Comparison of results of calculations with analytical results by Clarke for the case of supercritical approach flow is also presented.