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

被引：11

作者：

Kuznetsov, A. V. ^{[1
]}

Nield, D. A. ^{[2
]}

Simmons, Craig T. ^{[3
,4
]}

机构：

[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA

[2] Univ Auckland, Dept Engn Sci, Auckland, New Zealand

[3] Flinders Univ S Australia, Sch Environm, Adelaide, SA 5001, Australia

[4] Flinders Univ S Australia, Natl Ctr Groundwater Res & Training, Adelaide, SA 5001, Australia

来源：

TRANSPORT IN POROUS MEDIA | 2011年 / 86卷 / 03期

关键词：

Heterogeneity; Transient heating; Thermal instability; Horizontal layer; SOLUTE TRANSPORT; GROUNDWATER-FLOW;

D O I：

10.1007/s11242-010-9657-x

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

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.

引用

页码：851 / 865

页数：15

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