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Anisotropic modelling of thermal convection in multilayered porous media

Published online by Cambridge University Press:  20 April 2006

Robert Mckibbin  and
Peder A. Tyvand
Robert Mckibbin
Affiliation:
Department of Theoretical and Applied Mechanics, University of Auckland, New Zealand
Peder A. Tyvand
Affiliation:
Department of Mechanics, University of Oslo, Norway
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Abstract

The principle of large-scale anisotropy due to small-scale layering is applied to thermal convection. The motion takes place in a bounded porous medium heated from below. The medium is periodically layered with respect to permeability and thermal conductivity. The onset of convection as well as slightly supercritical convection are investigated. Anisotropic modelling proves useful even for small numbers of layers as long as the motion is of ‘large-scale convection’ type (Masuoka et al. 1978). The modelling always fails for motion of ‘local convection’ type.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 118 , May 1982 , pp. 315 - 339
Copyright
© 1982 Cambridge University Press

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