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Aligned-field hydromagnetic flow past a slender body

Published online by Cambridge University Press:  28 March 2006

S. Leibovich  and
G. S. S. Ludford
S. Leibovich
Affiliation:
University College London
G. S. S. Ludford
Affiliation:
Cornell University
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Abstract

This is a continuation of our previous work (1965) on the Sears–Resler–Stewartson controversy, in the context of axially symmetric flow. A new approach is presented using boundary-layer arguments, which remove much of the old complexity.

For resistive bodies of shape R(x) we uncover a similarity with plane airfoils of shape F(x) = R2(x). As before, Stewartson's slug flows develop fore and aft. For bodies of very high conductivity the Sears–Resler (steady-state) solution turns out to be one possibility. It pertains to bodies (of much higher conductivity than the liquid) into which the initial magnetic field has not diffused.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 25 , Issue 2 , June 1966 , pp. 289 - 298
Copyright
© 1966 Cambridge University Press

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References

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