© 1968 by Oxford University Press
THE SOLUTION OF A MHD PROBLEM USING A NUMERICAL METHOD DEVISED BY RAETZ

( 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
.