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Modes of finite-amplitude three-dimensional convection in rectangular boxes of fluid-saturated porous material

Published online by Cambridge University Press:  20 April 2006

Joe M. Straus  and
Gerald Schubert
Joe M. Straus
Affiliation:
Space Sciences Laboratory, The Aerospace Corporation, Los Angeles, California 90009
Gerald Schubert
Affiliation:
Department of Earth and Space Sciences, University of California, Los Angeles, California 90024
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Abstract

Steady, three-dimensional convection in rectangular boxes of fluid-saturated porous material with square horizontal cross-section heated from below is found to be non-unique. The properties of a special class of solutions exhibiting a high degree of symmetry are determined as a function of box size and Rayleigh number. The stability of these solutions to general three-dimensional perturbations is also determined. In some cases, when these solutions are found to be unstable, the alternative forms of three-dimensional convection are presented. Multiple three-dimensional steady states are given for a few particular values of box size and Rayleigh number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 103 , February 1981 , pp. 23 - 32
Copyright
© 1981 Cambridge University Press

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References

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