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

被引：11

作者：

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

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

机构：

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

[2] Univ Auckland, Dept Engn Sci, Auckland 1142, New Zealand

来源：

TRANSPORT IN POROUS MEDIA | 2010年 / 85卷 / 03期

关键词：

Permeability heterogeneity; Transient heating; Thermal instability; Horizontal layer; DEVELOPING THERMAL FRONT; STABILITY; FLOW;

D O I：

10.1007/s11242-010-9586-8

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

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 transient heating or otherwise, is studied analytically using linear stability theory. 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.

引用

页码：691 / 702

页数：12

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