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RESEARCH PAPERS

Velocity Profiles of Flow at Low Reynolds Numbers

[+] Author and Article Information
S. Abarbanel

University of Tel-Aviv, Tel-Aviv, Israel

S. Bennett, A. Brandt, J. Gillis

Department of Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel

J. Appl. Mech 37(1), 2-4 (Mar 01, 1970) (3 pages) doi:10.1115/1.3408484 History: Received August 08, 1968; Online July 12, 2010

Abstract

Earlier numerical work on viscous flow in the inlet region of a straight channel indicated some curious features in the velocity profiles. These are now investigated further to establish that they are not merely a numerical effect and that, moreover, they persist, even if the initial conditions are modified so as to remove the singularity at the inlet. The method used is to consider a physically similar problem of Stokes flow in a quarter-plane which can be solved analytically.

Copyright © 1970 by ASME
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