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On the steady rotation of an axisymmetric solid in a conducting fluid at high Hartmann numbers

Published online by Cambridge University Press:  26 February 2010

W. E. Williams  and
R. Shail
W. E. Williams
Affiliation:
The Department of Mathematics, The University of Surrey, Guildford, Surrey.
R. Shail
Affiliation:
The Department of Mathematics, The University of Surrey, Guildford, Surrey.
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Extract

In an earlier paper [Shail, 1] one of the present authors considered the effect of a magnetic field on the frictional couple experienced by an axisymmetric solid insulator which rotates slowly in a bounded viscous conducting fluid, the applied magnetic field being parallel to the axis of rotation. Results for the couple in various geometrical configurations were obtained in the form of power series expansions in the Hartmann number M, and hence are valid only for M ≪ 1. However, because of the increased rigidity given to the fluid by the applied field, it is physically evident that the magnetic field will have a more dramatic effect on the flow pattern for large values of M. Thus one object of this paper is to investigate the frictional couple on a solid insulator rotating in an unbounded fluid for values of M ≫ 1.

Type
Research Article
Information
Mathematika , Volume 16 , Issue 2 , December 1969 , pp. 295 - 304
Copyright
Copyright © University College London 1969

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References

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