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RESEARCH PAPERS

Wavenumber Selection in Bénard Convection

[+] Author and Article Information
I. Catton

Mechanical, Aerospace and Nuclear Engineering Department, University of California, Los Angeles, Los Angeles, CA 90024-1597

J. Heat Transfer 110(4b), 1154-1165 (Nov 01, 1988) (12 pages) doi:10.1115/1.3250617 History: Received February 04, 1988; Online October 20, 2009

Abstract

The results of three related studies dealing with wavenumber selection in Rayleigh–Bénard convection are reported. The first, an extension of the power integral method, is used to argue for the existence of multi-wavenumbers at all supercritical wavenumbers. Most existing closure schemes are shown to be inadequate. A thermodynamic stability criterion is shown to give reasonable results but requires empirical measurement of one parameter for closure. The third study uses an asymptotic approach based in part on geometric considerations and requires no empiricism to obtain good predictions of the wavenumber. These predictions, however, can only be used for certain planforms of convection.

Copyright © 1988 by ASME
Topics: Convection , Stability
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