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The application of the boundary element method to the magnetohydrodynamic duct flow

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A boundary element method is developed in order to investigate the flow of viscous, incompressible, electrically conducting fluids in cylindrical ducts having arbitrary cross-sections. The numerical results obtained for the circular duct with insulating wall are very close to the results obtained by means of analytical formulas.

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  1. [1]

    Ch. C. Chang and Th. S. Lundgren,Duct flow in magneto-hydrodynamics, ZAMP,12, 100 (1961).

  2. [2]

    G. A. Greenberg,Steady flow of a conducting fluid in a rectangular duct with two non-conducting and two conducting walls parallel to the external magnetic field, Prikl. Mat. Mech.,25, 1024 (1961);26, 80 (1962).

  3. [3]

    I. Sadatoshi, T. Kiyohiro and M. Akira,The flow of conducting fluids in circular pipes with finite conductivity under uniform transverse magnetic fields, Trans. ASME; J. App. Mech.,E89, No. 1, 29–36 (1967).

  4. [4]

    D. M. Sloan,Extremum principles for magnetohydrodynamic channel flow, ZAMP,24, 689–698 (1973).

  5. [5]

    K. E. Barret,Minimax principle for magnetohydrodynamic channel flow, ZAMP,37, 613–619 (1976).

  6. [6]

    G. Marinoschi,Minimax principle for an electrically conducting fluid flow along a channel (in Romanian), St. Cerc. Mat.,34 (2), 147–155 (1982).

  7. [7]

    S. T. Wu,Unsteady MHD duct flow by the finite element method, Int. J. Num. Meth. Eng.,6, 3 (1973).

  8. [8]

    L. Drago§,Magnetofluid Dynamics, Ed. Academiei, Bucharest, Abacus Press, Tunbridge Wells, Kent 1975.

  9. [9]

    I. A. Shercliff,A Textbook of Magnetohydrodynamics, Pergamon Press, Oxford 1965.

  10. [10]

    V. S. Vladimirov,Equations of Mathematical Physics (in Russian), Nauka, Moscow 1976

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Carabineanu, A., Dinu, A. & Oprea, I. The application of the boundary element method to the magnetohydrodynamic duct flow. Z. angew. Math. Phys. 46, 971–981 (1995). https://doi.org/10.1007/BF00917881

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  • Mathematical Method
  • Boundary Element
  • Boundary Element Method
  • Analytical Formula
  • Duct Flow