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RESEARCH PAPERS

Fluid Dynamics of the Circular Porous Slider

[+] Author and Article Information
Chang-Yi Wang

Department of Mathematics, Michigan State University, East Lansing, Mich.

J. Appl. Mech 41(2), 343-347 (Jun 01, 1974) (5 pages) doi:10.1115/1.3423290 History: Received May 01, 1973; Online July 12, 2010

Abstract

A fluid of constant density is forced through the porous bottom of a circular slider which is moving laterally on a flat plane. We assume the radius of the slider is much larger than the gap width between the slider and the plane. The Navier-Stokes equations reduce to a set of nonlinear ordinary differential equations. These equations are solved by three methods: series expansion for small crossflow Reynolds number R , matched asymptotic expansions for large R , and also exact numerical integration. The approximate solutions are compared with the numerical results, which is also an exact solution of the Navier-Stokes. Lift and drag are calculated. If everything else is held fixed, both lift and drag increase rapidly although at different rates, with decreasing gap width.

Copyright © 1974 by ASME
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