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The Quarterly Journal of Mechanics and Applied Mathematics 1961 14(3):319-334; doi:10.1093/qjmam/14.3.319
© 1961 by Oxford University Press
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ON SOME KINEMATIC PROBLEMS IN MAGNETOHYDRODYNAMICS

M. D. COWLEY

( Engineering Department, University of Cambridge )

Some general and particular solutions of the electromagnetic equations are given for steady flows with finite electrical conductivity. In most cases the electromagnetic forces are assumed to be too small to perturb the flow significantly, but some of the solutions are also dynamically exact. Both plane potential flow of an incompressible fluid and rectilinear flow are considered, and the magnetic fields are imposed by current-carrying wires. The equations are derived for both plane and axisymmetric conditions.


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