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Magnetohydrodynamic flow due to the discharge of an electric current in a hemispherical container

Published online by Cambridge University Press:  29 March 2006

C. Sozou  and
W. M. Pickering
C. Sozou
Affiliation:
Department of Applied Mathematics and Computing Science, University of Sheffield, England
W. M. Pickering
Affiliation:
Department of Applied Mathematics and Computing Science, University of Sheffield, England
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Abstract

In this paper we consider the flow field induced in an incompressible viscous conducting fluid in a hemispherical bowl by a symmetric discharge of electric current from a point source at the centre of the plane end of the hemisphere. This plane end is a free surface. We construct an analytic solution for the slow viscous flow and a numeriacl solution for the nonlinear problem. The streamlines in an axial cross-section form two sets of closed loops, one on either side of the axis. Our computations indicate that, for a given fluid, when the discharged current reaches a certain magnitude the velocity field breaks down. This breakdown probably originates at the vertex of the hemispherical container.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 73 , Issue 4 , 24 February 1976 , pp. 641 - 650
Copyright
© 1976 Cambridge University Press

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References

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