The Onset of Convection in a Heterogeneous Porous Medium with Vertical Throughflow

被引：0
作者：
D. A. Nield
A. V. Kuznetsov
机构：
[1] University of Auckland,Department of Engineering Science
[2] North Carolina State University,Department of Mechanical and Aerospace Engineering
来源：
Transport in Porous Media | 2011年 / 88卷
关键词：
Permeability heterogeneity; Throughflow; Thermal instability; Horizontal layer;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The effect of vertical heterogeneity of permeability, on the onset of convection in a horizontal layer of a saturated porous medium, uniformly heated from below but with a non-uniform basic temperature gradient resulting from vertical throughflow, is studied analytically using linear stability theory. It is found that, to first order, a linear variation of the reciprocal of permeability with depth has no effect on the critical value of the Rayleigh number Rac based on the harmonic mean of the permeability, but a quadratic variation increasing in the upwards direction leads to a reduction in Rac.
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页码：347 / 355
页数：8
相关论文
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