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

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 i...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2001-09, Vol.37 (5), p.3384-3387
Main Authors: Verardi, S.L.L., Cardoso, J.R., Costa, M.C.
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Conductivity
Couplings
Design engineering
Differential equations
Ducts
Electromagnetism
electron and ion optics
Exact sciences and technology
Finite element method
Finite element methods
Fundamental areas of phenomenology (including applications)
Hartmann number
Helium
Magnetic field measurement
Magnetism
Magnetohydrodynamics
Magnetostatics
magnetic shielding, magnetic induction, boundary-value problems
Mathematical analysis
Mathematical models
Maxwell equations
MHD
Navier-Stokes equations
Physics
Three dimensional
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Summary: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 10/sup 2/-10/sup 3/.
ISSN:0018-9464
1941-0069
DOI:10.1109/20.952619