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Convection induced by inclined thermal and solutal gradients in a shallow horizontal layer of a porous medium

Published online by Cambridge University Press:  26 April 2006

D. A. Nield ,
D. M. Manole  and
J. L. Lage
D. A. Nield
Affiliation:
Department of Engineering Science, University of Auckland, Auckland, New Zealand
D. M. Manole
Affiliation:
Mechanical Engineering Department, Southern Methodist University, Dallas, TX 75275-0335, USA
J. L. Lage
Affiliation:
Mechanical Engineering Department, Southern Methodist University, Dallas, TX 75275-0335, USA
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Abstract

A theoretical examination is made of convection, induced by applied thermal and solutal gradients inclined to the vertical, in a shallow horizontal layer of a saturated porous medium. The horizontal components of these gradients induce a Hadley circulation, which becomes unstable when the vertical components are sufficiently large. A linear stability analysis is carried out, and calculations are made using a low-order Galerkin approximation for the various modes of instability. The orientation of the preferred mode and the other critical quantities are determined for representative parameter values.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 257 , December 1993 , pp. 559 - 574
Copyright
© 1993 Cambridge University Press

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