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RESEARCH PAPERS

On the Stability of Plane Parallel Flow Between Differentially Heated, Tilted Planes

[+] Author and Article Information
P. S. Ayyaswamy

Department of Energy and Kinetics, School of Engineering and Applied Science, University of California, Los Angeles, Calif.

J. Appl. Mech 41(3), 554-556 (Sep 01, 1974) (3 pages) doi:10.1115/1.3423347 History: Received January 01, 1974; Revised March 01, 1974; Online July 12, 2010

Abstract

The linear and energy theories of stability of a plane parallel, antisymmetric flow between differentially heated, tilted planes are examined. The linear and energy results do not coincide indicating that subcritical motion may be possible. Also, it is seen that the energy stability limit corresponds to solutions independent of the coordinate in the direction of the flow. An interesting application of Busse’s theorem in this context is demonstrated.

Copyright © 1974 by ASME
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