Inviscid Solution for the Problem of Free Overfall

[+] Author and Article Information
W. L. Chow, T. Han

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, Ill. 61801

J. Appl. Mech 46(1), 1-5 (Mar 01, 1979) (5 pages) doi:10.1115/1.3424497 History: Received April 01, 1978; Revised July 01, 1978; Online July 12, 2010


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.

Copyright © 1979 by ASME
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