On the concave and convex solutions of a mixed convection boundary layer approximation in a porous medium

被引：20

作者：

Brighi, B ^{[1
]}

Hoernel, JD ^{[1
]}

机构：

[1] Univ Haute Alsace, Lab Math & Applicat, F-68093 Mulhouse, France

来源：

APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 01期

关键词：

boundary layer; similarity solution; third order nonlinear differential equation; boundary value problem;

D O I：

10.1016/j.aml.2005.02.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the similarity solutions of a plane mixed convection boundary layer flow near a semi-vertical plate, with a prescribed power law function of the distance from the leading edge for the temperature, that is embedded in a porous medium. We show the existence and uniqueness of convex and concave solutions for positive values of the power law exponent. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：69 / 74

页数：6

共 12 条

[1] Mixed convection boundary-layer flow over a vertical surface embedded in a porous medium [J].

Aly, EH ;

Elliott, L ;

Ingham, DB .

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2003, 22 (06) :529-543

[2] On a family of differential equations for boundary layer approximations in porous media [J].

Belhachmi, Z ;

Brighi, B ;

Taous, K .

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2001, 12 :513-528

[3]

BELHACHMI Z, 2000, ACTA MATH U COMENIAN, V69, P199

[4]

Blasius H., 1908, Z Math Physik, V56, P1

[5]

Brighi B, 2005, DISCRETE CONT DYN S, V12, P929

[6]

Brighi B, 2002, Z ANAL ANWEND, V21, P931

[7] ON A DIFFERENTIAL EQUATION OF BOUNDARY-LAYER THEORY [J].

COPPEL, WA .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1960, 253 (1023) :101-136

[8]

GUEDDA M, IN PRESS APPL MATH L

[9]

HARTMANN P, 1964, ORDINARY DIFFERENTIA

[10] OSCILLATING SOLUTIONS OF THE FALKNER-SKAN EQUATION FOR POSITIVE-BETA [J].

HASTINGS, SP ;

TROY, WC .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 71 (01) :123-144

← 1 2 →