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Numerical solution of MHD free-convection flow in the Stokes problem by the Crank-Nicolson method

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Abstract

A numerical solution of magnetohydrodynamic free-convection flow, in the Stokes' problem, for a porous vertical plate, is obtained, when Prandtl numberP is not equal to one. The magnetic lines of force are assumed to be fixed relative to the plate which is started moving impulsively in its own plane (I.S.P.) or it is uniformly accelerated (U.A.P.). The solution is obtained by the Crank-Nicolson method, which is an implicit second-order method, forP=0.71 (air) andP=7 (water). The obtained results are shown on figures and tables.

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Authors and Affiliations

  1. Dept. of Applied Mathematics, University of Patras, Greece

    N. G. Kafousias & J. Daskalakis

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  1. N. G. Kafousias
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  2. J. Daskalakis
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Kafousias, N.G., Daskalakis, J. Numerical solution of MHD free-convection flow in the Stokes problem by the Crank-Nicolson method. Astrophys Space Sci 106, 381–389 (1984). https://doi.org/10.1007/BF00650362

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  • DOI: https://doi.org/10.1007/BF00650362

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