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

Journal Article · · IEEE Transactions on Magnetics
DOI:https://doi.org/10.1109/20.717734· OSTI ID:665286
;  [1];  [2]
  1. Escola Politecnica, Sao Paulo (Brazil)
  2. CTMSP, Sao Paulo (Brazil)

The problem of magnetohydrodynamic flow through channels has become important because of several engineering applications such as design of nuclear reactor cooling systems, electromagnetic pumps, MHD flowmeters, MHD generators, blood flow measurements, etc. 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 behavior of several iterative methods, for high Hartmann numbers, was also investigated.

OSTI ID:
665286
Report Number(s):
CONF-971159-; ISSN 0018-9464; TRN: 98:011746
Journal Information:
IEEE Transactions on Magnetics, Vol. 34, Issue 5Pt1; Conference: COMPUMAG `97: 11. conference on the computation of electromagnetic fields, Rio de Janeiro (Brazil), 3-6 Nov 1997; Other Information: PBD: Sep 1998
Country of Publication:
United States
Language:
English