Journal
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Volume 50, Issue 17-18, Pages 3329-3339Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijheatmasstransfer.2007.01.027
Keywords
bidisperse porous media; natural convection; heterogeneity; instability; Horton-Rogers-Lapwood problem
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The effects of both horizontal and vertical hydrodynamic and thermal heterogeneity, on the onset of convection in a horizontal layer of a saturated bidisperse porous medium uniformly heated from below, are studied analytically using linear stability theory for the case of weak heterogeneity. It is found that the effect of such heterogeneity on the critical value of the Rayleigh number Ra based on mean properties is of second order if the properties vary in a piecewise constant or linear fashion. The effects of horizontal heterogeneity and vertical heterogeneity are then comparable once the aspect ratio is taken into account, and to a first approximation are independent. The thermal heterogeneity of the p-phase can be quite significant when the thermal diffusivity of that phase is large relative to that of the f-phase. (c) 2007 Elsevier Ltd. All rights reserved.
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