Fundamental solution for coupled magnetohydrodynamic flow equations

Authors:
C. Bozkaya;M. Tezer-Sezgin
Affiliations:
Institute of Applied Mechanics, Technical University of Braunschweig, 38106, Germany;Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 2
Cited 7

Boundary elements ten, an introduction

Boundary elements ten, an introduction
The application of the boundary element method to the magnetohydrodynamic duct flow

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

The boundary element solution of the magnetohydrodynamic flow in an infinite region

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Meshless Local Petrov--Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity

Applied Numerical Mathematics
An accurate, stable and efficient domain-type meshless method for the solution of MHD flow problems

Journal of Computational Physics
Two new upwind difference schemes for a coupled system of convection-diffusion equations arising from the steady MHD duct flow problems

Journal of Computational Physics
Localized meshless point collocation method for time-dependent magnetohydrodynamics flow through pipes under a variety of wall conductivity conditions

Computational Mechanics
The Galerkin boundary node method for magneto-hydrodynamic (MHD) equation

Journal of Computational Physics
A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity

Computational Mechanics

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Abstract

In this paper, a fundamental solution for the coupled convection-diffusion type equations is derived. The boundary element method (BEM) application then, is established with this fundamental solution, for solving the coupled equations of steady magnetohydrodynamic (MHD) duct flow in the presence of an external oblique magnetic field. Thus, it is possible to solve MHD duct flow problems with the most general form of wall conductivities and for large values of Hartmann number. The results for velocity and induced magnetic field is visualized in terms of graphics for values of Hartmann number M=