The Effect of Strong Heterogeneity on the Onset of Convection in a Porous MediumNon-periodic Global Variation

被引：0
作者：
D. A. Nield
A. V. Kuznetsov
Craig T. Simmons
机构：
[1] University of Auckland,Department of Engineering Science
[2] North Carolina State University,Department of Mechanical and Aerospace Engineering
[3] Flinders University,School of Chemistry, Physics and Earth Sciences
来源：
Transport in Porous Media | 2009年 / 77卷
关键词：
Heterogeneity; Stability; Natural convection; Computer package;
D O I：
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摘要：
The effect of strong heterogeneity on the onset of convection induced by a vertical density gradient in a saturated porous medium governed by Darcy’s law is discussed. The general case, where there is heterogeneity in both the vertical and horizontal directions, and where there is heterogeneity in permeability, thermal conductivity, and applied temperature gradient, is considered. A computer package has been developed to implement an algorithm giving a criterion for instability. This package is applied to the case of a cube partitioned into octants and to the cases where the permeability and thermal conductivity vary continuously across a cube in either a linear or a quadratic manner.
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