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Some electrically driven flows in magnetohydrodynamics. Part 1. Theory

Published online by Cambridge University Press:  28 March 2006

J. C. R. Hunt  and
W. E. Williams
J. C. R. Hunt
Affiliation:
Central Electricity Research Laboratories, Leatherhead
W. E. Williams
Affiliation:
Department of Mathematics, University of Surrey, London, S.W. 11
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Abstract

The magnetohydrodynamic flow between two parallel conducting planes is investigated for the case when the flow is driven by the current produced by electrodes placed one in each plane, the applied magnetic field being perpendicular to the planes. An exact solution is presented for the case of line electrodes placed opposite each other and an approximate method of determining the flow in this case for large Hartman number (M) is also given. It is shown that for large M the asymptotic form of the exact solution agrees with that obtained by the approximate method. The results are generalized to cover the case of line electrodes displaced relative to each other. A similar investigation is carried out for the case of two point electrodes opposite each other.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 31 , Issue 4 , 18 March 1968 , pp. 705 - 722
Copyright
© 1968 Cambridge University Press

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