The Onset of Convection in a Strongly Heterogeneous Porous Medium with Transient Temperature Profile

被引：0
作者：
A. V. Kuznetsov
D. A. Nield
Craig T. Simmons
机构：
[1] North Carolina State University,Department of Mechanical and Aerospace Engineering
[2] University of Auckland,Department of Engineering Science
[3] Flinders University,School of the Environment and National Centre for Groundwater Research and Training
来源：
Transport in Porous Media | 2011年 / 86卷
关键词：
Heterogeneity; Transient heating; Thermal instability; Horizontal layer;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The effect of heterogeneity of permeability, on the onset of convection in a horizontal layer of a saturated porous medium, uniformly heated from below but with a nonuniform basic temperature gradient resulting from transient heating, is studied analytically using linear stability theory for the case of strong heterogeneity. Two particular situations, corresponding to instantaneous bottom heating and constant-rate bottom heating, are studied. Estimates of the timescale for the development of convection instability are obtained. The case of a strongly nonlinear temperature gradient is studied with the help of a computer package.
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页码：851 / 865
页数：14
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