# The dual reciprocity boundary element method for magnetohydrodynamic channel flows

Journal Article

### 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).

• 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

• http://ro.uow.edu.au/eispapers/770

• 17

• 305

• 322

• 44

• 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).

• 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

• http://ro.uow.edu.au/eispapers/770

• 17

• 305

• 322

• 44

• ACT