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

被引：26

作者：

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

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

机构：

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

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

来源：

TRANSPORT IN POROUS MEDIA | 2013年 / 98卷 / 02期

关键词：

Heterogeneity; Throughflow; Thermal instability; Horizontal layers; STRONG HETEROGENEITY; INSTABILITY;

D O I：

10.1007/s11242-013-0148-8

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

An analytical investigation of the effect of vertical throughflow on the onset of convection in a composite porous medium consisting of two horizontal layers has been made. The cases of iso-flux and iso-temperature boundaries are both investigated. The critical Rayleigh number depends on a P,clet number , a permeability ratio , a thermal conductivity ratio , and a depth ratio . For the case of small an approximate solution is obtained, which shows that in general throughflow has a stabilizing effect whose magnitude may be increased or decreased by the heterogeneity. This solution is supplemented by an asymptotic solution valid for large Q.

引用

页码：363 / 376

页数：14

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