The dual reciprocity boundary element method for magnetohydrodynamic channel flows
- 1 October 2002
- journal article
- research article
- Published by Cambridge University Press (CUP) in The ANZIAM Journal
- Vol. 44 (2), 305-322
- https://doi.org/10.1017/s1446181100013961
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 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).Keywords
This publication has 2 references indexed in Scilit:
- On the application of multiquadric bases in conjunction with the LTDRM method to solve nonlinear diffusion equationsApplied Mathematics and Computation, 1998
- Multivariate Interpolation and Conditionally Positive Definite Functions. IIMathematics of Computation, 1990