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The Quarterly Journal of Mechanics and Applied Mathematics 1968 21(4):401-411; doi:10.1093/qjmam/21.4.401
© 1968 by Oxford University Press
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THE SOLUTION OF A MHD PROBLEM USING A NUMERICAL METHOD DEVISED BY RAETZ

E. LEWIS {dagger}

( Department of Mathematics, University College London )

The problem considered is that of solving the boundary layer equations for the uniform motion of a semi-infinite flat plate through an incompressible conducting fluid at rest, subject to a constant transverse magnetic field. The solution of this problem is dependent upon a parameter M2x/R and, previously, has been derived in only those regions where or . For the region in which the solution has been derived by Rossow (1) while for the solution can be obtained analytically. However, using an explicit finite-difference method devised by Raetz (2) for solving the three-dimensional boundary layer equations in steady compressible flow, this problem can be solved for the complete range of . Shortly after the writer obtained the solution described in this paper, Maw (3) also solved this problem numerically for the complete range of M2x/R. The two solutions are in excellent agreement with each other, as they are also with Rossow's solution for and the analytic solution for .



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