On the similarity solutions for a steady MHD equation

被引：12

作者：

Hoernel, Jean-David ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2008年 / 13卷 / 07期

关键词：

boundary layer; similarity solution; third order non-linear differential equation; boundary value problem; MHD;

D O I：

10.1016/j.cnsns.2006.10.010

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 for the steady laminar incompressible boundary layer equations governing the magnetohydrodynamic (MHD) flow near the forward stagnation point of two-dimensional and axisymmetric bodies. This leads to the study of a boundary value problem involving a third order autonomous ordinary differential equation. Our main results are the existence, uniqueness and non-existence for concave or convex solutions. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：1353 / 1360

页数：8

共 20 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]

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

[3]

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

[4] On the concave and convex solutions of a mixed convection boundary layer approximation in a porous medium [J].

Brighi, B ;

Hoernel, JD .

APPLIED MATHEMATICS LETTERS, 2006, 19 (01) :69-74

[5]

BRIGHI B, UNPUB GEN SIMILARITY

[6]

BRIGHI B, BLASIUS PROBLEM

[7] HYDROMAGNETIC FLOW AND HEAT-TRANSFER OVER A STRETCHING SHEET [J].

CHAKRABARTI, A ;

GUPTA, AS .

QUARTERLY OF APPLIED MATHEMATICS, 1979, 37 (01) :73-78

[8] 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

[9]

Falkner VM, 1931, PHILOS MAG, V12, P865

[10] Mixed convection flow over a vertical wedge embedded in a highly porous medium [J].

Kumari, M ;

Takhar, HS ;

Nath, G .

HEAT AND MASS TRANSFER, 2001, 37 (2-3) :139-146

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