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

Verardi, S L.L.; Cardoso, J R; Motta, C C

doi:10.1109/20.717734

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

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Abstract

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.

Authors:

Verardi, S L.L.; Cardoso, J R ^[1]; Motta, C C ^[2]

Escola Politecnica, Sao Paulo (Brazil)
CTMSP, Sao Paulo (Brazil)

Publication Date:: Tue Sep 01 00:00:00 EDT 1998

OSTI Identifier:: 665286

Report Number(s):: CONF-971159-
Journal ID: IEMGAQ; ISSN 0018-9464; TRN: 98:011746

Resource Type:: Journal Article

Journal Name:: IEEE Transactions on Magnetics

Additional Journal Information:: Journal Volume: 34; Journal 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

Subject:: 30 DIRECT ENERGY CONVERSION; 66 PHYSICS; FINITE ELEMENT METHOD; MAGNETOHYDRODYNAMICS; MHD GENERATORS; REACTOR COOLING SYSTEMS; ELECTROMAGNETIC PUMPS; FLOWMETERS; TWO-DIMENSIONAL CALCULATIONS

Citation Formats


                    Verardi, S L.L., Cardoso, J R, and Motta, C C. A solution of two-dimensional magnetohydrodynamic flow using the finite element method.  United States: N. p., 1998. 
        Web.  doi:10.1109/20.717734.

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                    Verardi, S L.L., Cardoso, J R, & Motta, C C. A solution of two-dimensional magnetohydrodynamic flow using the finite element method.  United States.  https://doi.org/10.1109/20.717734

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                    Verardi, S L.L., Cardoso, J R, and Motta, C C. 1998.  
        "A solution of two-dimensional magnetohydrodynamic flow using the finite element method".  United States.  https://doi.org/10.1109/20.717734.

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@article{osti_665286,

  title        = {A solution of two-dimensional magnetohydrodynamic flow using the finite element method},

  author       = {Verardi, S L.L. and Cardoso, J R and Motta, C C},

  abstractNote = {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.},

  doi          = {10.1109/20.717734},

  url          = {https://www.osti.gov/biblio/665286},
  journal      = {IEEE Transactions on Magnetics},
number       = 5Pt1,

  volume       = 34,

  place        = {United States},

  year         = {Tue Sep 01 00:00:00 EDT 1998},

  month        = {Tue Sep 01 00:00:00 EDT 1998}

}

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