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The dual reciprocity boundary element method for magnetohydrodynamic channel flows

Published online by Cambridge University Press:  17 February 2009

Huan-Wen Liu  and
Song-Ping Zhu
Huan-Wen Liu
Affiliation:
Department of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, PR. China; e-mail: [email protected].
Song-Ping Zhu
Affiliation:
School of Mathematics and Applied Statistics, The University of Wollongong, Wollongong, NSW 2522, Australia; e-mail: [email protected].
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Abstract

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In this paper, we consider the problem of the steady-state fully developed magnetohydrodynamic (MHD) flow of a conducting fluid through a channel with arbitrary wall conductivity in the presence of a transverse external magnetic field with various inclined angles. The coupled governing equations for both axial velocity and induced magnetic field are firstly transformed into decoupled Poisson-type equations with coupled boundary conditions. Then the dual reciprocity boundary element method (DRBEM) [20] is used to solve the Poisson-type equations. As testing examples, flows in channels of three different crosssections, rectangular, circular and triangular, are calculated. It is shown that solutions obtained by the DRBEM with constant elements are accurate for Hartmann number up to 8 and for large conductivity parameters comparing to exact solutions and solutions by the finite element method (FEM).

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 2 , October 2002 , pp. 305 - 322
Copyright
Copyright © Australian Mathematical Society 2002

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