Multiple solutions of mixed convection boundary-layer approximations in a porous medium

被引：21
|
作者：
Guedda, M [1 ]
机构：
[1] Univ Picardie, Fac Math & Informat, LAMFA, CNRS,UMR 6140, F-80039 Amiens, France
来源：
APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 01期
关键词：
boundary-layer; porous media; similarity solutions; existence; non-existence and multiple solutions;
D O I：
10.1016/j.aml.2005.02.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note deals with a theoretical analysis of the existence, non-uniqueness and non-existence of similarity solutions of the two-dimensional mixed convection boundary-layer flow over a vertical surface with a power law temperature. Here, it is assumed that the surface is embedded in a saturated porous media. The results depend on the power law exponent and the ratio of the Rayleigh to Peclet numbers. It is shown, under certain circumstance, that the problem has an infinite number of solutions. (C) 2005 Elsevier Ltd. All rights reserved.
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页码：63 / 68
页数：6
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