The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium: double diffusive case

被引：0
|
作者：
A. V. Kuznetsov
D. A. Nield
机构：
[1] North Carolina State University,Department of Mechanical and Aerospace Engineering
[2] University of Auckland,Department of Engineering Science
来源：
Transport in Porous Media | 2008年 / 72卷
关键词：
Heterogeneity; Double diffusion; Natural convection; Instability; Horton–Rogers–Lapwood problem;
D O I：
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学科分类号：
摘要：
The effects of both horizontal and vertical hydrodynamic, thermal and solutal heterogeneity, on the onset of convection in a horizontal layer of a saturated porous medium uniformly heated from below, are studied analytically using linear stability theory for the case of weak heterogeneity. The Brinkman model is employed. 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.
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页码：157 / 170
页数：13
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