A solution of two-dimensional magnetohydrodynamic flow using the finite element method

Author

Verardi, Sergio Luis Lopes ; Cardoso, Jose Roberto ; Motta, Claudio Costa

Author_Institution

Escola Politecnica, Sao Paulo, Brazil

Volume

34

Issue

5

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

3134

Lastpage

3137

Abstract

A numerical code based on the finite element method (FEM) was developed to solve the two-dimensional, steady-state magnetohydrodynamic (MHD) flow in a rectangular channel. In order to apply the FEM, the Galerkin weak formulation was used. In this analysis, in contrast with the previous works, the thickness of the duct wall is taken into account and the results are compared to those obtained in the limit case when the thickness is much smaller than a characteristic dimension of the duct. In this case, convergence behaviour of several iterative methods, for high Hartmann numbers, was also investigated

Keywords

Galerkin method; channel flow; finite element analysis; iterative methods; magnetohydrodynamics; Galerkin weak formulation; duct wall thickness; finite element method; high Hartmann numbers; iterative methods; rectangular channel; steady-state magnetohydrodynamic flow; two-dimensional magnetohydrodynamic flow; Convergence; Ducts; Equations; Finite element methods; Iterative methods; Magnetic analysis; Magnetic fields; Magnetic liquids; Magnetohydrodynamic power generation; Steady-state;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.717734

Filename

717734