Upper Bounds and Saint-Venant’s Principle for Incompressible Potential-Flow Fields

[+] Author and Article Information
R. L. Drake

Department of Mathematics, Drexel Institute of Technology, Philadelphia, Pa.

P. C. Chou

Drexel Institute of Technology, Philadelphia, Pa.

J. Appl. Mech 32(3), 661-664 (Sep 01, 1965) (4 pages) doi:10.1115/1.3627275 History: Received July 08, 1964; Revised November 16, 1964; Online September 15, 2011


An upper-bound approach to Saint-Venant’s principle is presented for incompressible potential-flow fields. Upper bounds for the velocity and its potential are found for the flow in a rectangular channel and in an axially symmetric cylindrical channel. It is found that any deviation in velocity distribution at the entrance of the channel which does not change the net flow attenuates to a negligible quantity beyond a section which is at a distance of two channel widths from the entrance.

Copyright © 1965 by ASME
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