A Nonlinear Stability Analysis of Convection in a Porous Vertical Channel Including Local Thermal Nonequilibrium

被引：49

作者：

Scott, Nicola L. ^{[1
]}

Straughan, B. ^{[1
]}

机构：

[1] Univ Durham, Dept Math, Durham DH1 3LE, England

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2013年 / 15卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Convection; Porous vertical channel; Energy stability; Local thermal nonequilibrium; NONUNIFORM TEMPERATURE-GRADIENTS; BRINKMAN CONVECTION; ONSET;

D O I：

10.1007/s00021-012-0109-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem is considered of thermal convection in a saturated porous medium contained in an infinite vertical channel with differentially heated sidewalls. The theory employed allows for different solid and fluid temperatures in the matrix. Nonlinear energy stability theory is used to derive a Rayleigh number threshold below which convection will not occur no matter how large the initial data. A generalized nonlinear analysis is also given which shows convection cannot occur for any Rayleigh number provided the initial data is suitably restricted.

引用

页码：171 / 178

页数：8

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