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The dual reciprocity boundary element method for magnetohydrodynamic channel flows

Journal Article


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Abstract


  • 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 cross-sections, 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).

Publication Date


  • 2002

Citation


  • Zhu, S. & Liu, H. (2002). The dual reciprocity boundary element method for magnetohydrodynamic channel flows. The Anziam Journal, 44 305-322.

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1776&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/770

Number Of Pages


  • 17

Start Page


  • 305

End Page


  • 322

Volume


  • 44

Place Of Publication


  • ACT

Abstract


  • 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 cross-sections, 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).

Publication Date


  • 2002

Citation


  • Zhu, S. & Liu, H. (2002). The dual reciprocity boundary element method for magnetohydrodynamic channel flows. The Anziam Journal, 44 305-322.

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1776&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/770

Number Of Pages


  • 17

Start Page


  • 305

End Page


  • 322

Volume


  • 44

Place Of Publication


  • ACT