The Effect of Gravity on Certain Curved Channel Potential Flows

[+] Author and Article Information
W. L. Chow, P. C. T. Chan

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

J. Fluids Eng 103(4), 639-643 (Dec 01, 1981) (5 pages) doi:10.1115/1.3241787 History: Received May 07, 1980; Online October 26, 2009


It is shown that the method of hodograph transformation coupled with numerical calculations can be an effective method to account for the effect of gravity on certain two-dimensional potential flow problems. Specifically, the problem of a horizontal channel flow discharging an incompressible fluid through a circular-arc contraction has been worked out to illustrate the procedure. The upstream approaching flow conditions, the opening height, and also the downstream free surface flow must be compatible with each other. They must be determined through iterations. The method of iteration is also presented and discussed.

Copyright © 1981 by ASME
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