The Onset of Convection in a Horizontal Porous Layer with Spatially Non-Uniform Internal Heating

被引：15

作者：

Nield, D. A. ^{[1
]}

Kuznetsov, A. V. ^{[2
]}

机构：

[1] Univ Auckland, Dept Engn Sci, Private Bag 92019, Auckland 1142, New Zealand

[2] N Carolina State Univ, Dept Mech & Aerosp Engn, Campus Box 7910, Raleigh, NC 27695 USA

来源：

TRANSPORT IN POROUS MEDIA | 2016年 / 111卷 / 02期

关键词：

Porous medium; Instability; Natural convection; Internal heating; HETEROGENEITY;

D O I：

10.1007/s11242-015-0610-x

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

We have used linear instability theory to determine the condition for the onset of convection in an internally heated horizontal layer, occupied by a porous medium, when the source strength varies in the vertical direction. Some paradigmatic special cases are investigated. In particular, we investigated linear, quadratic and concentrated source strength distributions. Stability is increased in those situations in which the region where the basic temperature gradient is destabilizing is of small extent.

引用

页码：541 / 553

页数：13

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