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The effects of temperature-dependent viscosity and the instabilities in convection rolls of a layer of fluid-saturated porous medium

Published online by Cambridge University Press:  26 April 2006

A. C. Or
A. C. Or
Affiliation:
Division of Applied Sciences, Harvard University, Cambridge, MA 02138, USA Present address: Hughes Aircraft Company, S & CG, S41, B320, P. O. Box 92919, CA 90009, USA.
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Abstract

Convection of two-dimensional rolls in an infinite horizontal layer of fluid-saturated porous medium heated from below is studied numerically. Several important finite-amplitude states are isolated, and their bifurcation properties are shown. Effects of the temperature-dependent viscosity are included. The stability of these states is investigated with respect to the class of disturbances that have a ½π phase shift relative to the basic state. In particular, the oscillatory mechanism and the mean-flow generating mechanism through the variable viscosity are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 206 , September 1989 , pp. 497 - 515
Copyright
© 1989 Cambridge University Press

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