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Large amplitude convection in porous media

Published online by Cambridge University Press:  29 March 2006

Joe M. Straus
Joe M. Straus
Affiliation:
Space Physics Laboratory, Laboratory Operations, The Aerospace Corporation, El Segundo, California 90245
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Abstract

The properties of convective flow driven by an adverse temperature gradient in a fluid-filled porous medium are investigated. The Galerkin technique is used to treat the steady-state two-dimensional problem for Rayleigh numbers as large as ten times the critical value. The flow is found to look very much like ordinary Bénard convection, but the Nusselt number depends much more strongly on the Rayleigh number than in Bénard convection. The stability of the finite amplitude two-dimensional solutions is treated. At a given value of the Rayleigh number, stable two-dimensional flow is possible for a finite band of horizontal wavenumbers as long as the Rayleigh number is small enough. For Rayleigh numbers larger than about 380, however, no two-dimensional solutions are stable. Comparisons with previous theoretical and experimental work are given.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 64 , Issue 1 , 3 June 1974 , pp. 51 - 63
Copyright
© 1974 Cambridge University Press

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