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.

引用

页码：63 / 68

页数：6

共 50 条

[1] SIMILARITY SOLUTIONS OF THE MIXED CONVECTION BOUNDARY-LAYER FLOW IN A POROUS MEDIUM
Khuri, S. A.
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2007, 4 (04) : 621 - 631
[2] On the Temperature Slip Boundary Condition in a Mixed Convection Boundary-Layer Flow in a Porous Medium
Merkin, John H.
Rohni, Azizah Mohd
Ahmad, Syakila
Pop, Ioan
TRANSPORT IN POROUS MEDIA, 2012, 94 (01) : 133 - 147
[3] On the Temperature Slip Boundary Condition in a Mixed Convection Boundary-Layer Flow in a Porous Medium
John H. Merkin
Azizah Mohd Rohni
Syakila Ahmad
Ioan Pop
Transport in Porous Media, 2012, 94 : 133 - 147
[4] Unsteady mixed convection boundary-layer flow on a vertical surface in a porous medium
Harris, SD
Ingham, DB
Pop, I
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1999, 42 (02) : 357 - 372
[5] MIXED CONVECTION BOUNDARY-LAYER FLOW OVER A SPHERE IN A SATURATED POROUS-MEDIUM
KUMARI, M
POP, I
NATH, G
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1987, 67 (11): : 569 - 572
[6] Mechanical and thermal characteristics of a mixed convection boundary-layer flow in a saturated porous medium
Magyari, E.
Aly, Emad H.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2006, 49 (21-22) : 3855 - 3865
[7] Mixed convection boundary-layer flow over a vertical surface embedded in a porous medium
Aly, EH
Elliott, L
Ingham, DB
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2003, 22 (06) : 529 - 543
[8] MIXED CONVECTION BOUNDARY-LAYER FLOW ALONG A VERTICAL SURFACE IN A POROUS-MEDIUM
RANGANATHAN, P
VISKANTA, R
NUMERICAL HEAT TRANSFER, 1984, 7 (03): : 305 - 317
[9] MIXED CONVECTION BOUNDARY-LAYER ON A VERTICAL CYLINDER EMBEDDED IN A SATURATED POROUS-MEDIUM
MERKIN, JH
POP, I
ACTA MECHANICA, 1987, 66 (1-4) : 251 - 262
[10] On the concave and convex solutions of a mixed convection boundary layer approximation in a porous medium
Brighi, B
Hoernel, JD
APPLIED MATHEMATICS LETTERS, 2006, 19 (01) : 69 - 74

← 1 2 3 4 5 →