Three-dimensional finite element analysis of MHD duct flow by the penalty function formulation

Author

Verardi, Sérgio Luís Lopes ; Cardoso, Jose Roberto ; Costa, Maurício Caldora

Author_Institution

Escola Politecnica, Sao Paulo Univ., Brazil

Volume

37

Issue

5

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

3384

Lastpage

3387

Abstract

A numerical scheme based on the Finite Element Method (FEM) is presented to calculate the full solution of a three-dimensional steady magnetohydrodynamic (MHD) flow with moderately high Hartmann numbers and interaction parameters. An incompressible, viscous and electrically conducting liquid-metal is considered. Assuming a low magnetic Reynolds number, the solution method solves the coupled Navier-Stokes and Maxwell´s equations through the use of a penalty function method. Results are presented for Hartmann numbers in the range 10²-10³

Keywords

Maxwell equations; Navier-Stokes equations; finite element analysis; flow simulation; liquid metals; magnetohydrodynamics; pipe flow; Hartmann number; Maxwell equations; Navier-Stokes equation; incompressible viscous conducting liquid metal; interaction parameter; magnetic Reynolds number; magnetohydrodynamic duct flow; numerical simulation; penalty function method; three-dimensional finite element analysis; Conductivity; Couplings; Design engineering; Differential equations; Ducts; Finite element methods; Helium; Magnetic field measurement; Magnetohydrodynamics; Maxwell equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.952619

Filename

952619