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Liquid-metal flow in a rectangular duct with a strong non-uniform magnetic field

Published online by Cambridge University Press:  20 April 2006

John C. Petrykowski  and
John S. Walker
John C. Petrykowski
Affiliation:
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801 Present address: Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830.
John S. Walker
Affiliation:
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801
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Abstract

Liquid-metal flows in rectangular ducts having electrically insulating tops and bottoms and perfectly conducting sides and in the presence of strong, polar, transverse magnetic fields are examined. Solutions are presented for the boundary layers adjacent to the sides that are parallel to the magnetic field. Overshoots in the radial velocity profiles show that the side layers have zero displacement thickness and do not perturb the inviscid core. Very weak secondary flows involve four significant vortices, as reflected in the polar velocity profiles.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 139 , February 1984 , pp. 309 - 324
Copyright
© 1984 Cambridge University Press

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References

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