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On the stability of forward and rearward slug flows due to the motion of a body through a perfectly conducting liquid

Published online by Cambridge University Press:  28 March 2006

M. Lessen ,
H. M. Zien  and
S. Leibovich
M. Lessen
Affiliation:
University of Rochester
H. M. Zien
Affiliation:
University of Rochester
S. Leibovich
Affiliation:
Cornell University
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Abstract

The stability of forward and rearward slug flows due to the motion of a body through a perfectly conducting liquid with an embedded magnetic field aligned to the direction of motion is studied. It is found that, for sub-Alfvénic flows, the forward and rearward slug flows predicted by Stewartson, Leibovich and Ludford are stable. For super-Alfvénic flows, if at all meaningful, both the forward and the rearward slug flows are stable also.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 2 , February 1966 , pp. 335 - 337
Copyright
© 1966 Cambridge University Press

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References

Landau, L. D. & Lifshitz, E. M. 1960 Electrodynamics of Continuous Media. New York: Addison-Wesley.
Leibovich, S. & Ludford, G. S. S. 1965 J. de Mécanique 4, 2.
Ludford, G. S. S. & Leibovich, S. 1965 Z. angew. Math. Mech. 45, 11.
Michael, D. H. 1955 Proc. Camb. Phil. Soc. 51, 52.
Sears, W. R. & Resler, E. L. 1959 J. Fluid Mech. 5, 25.
Stewartson, K. 1960 J. Fluid Mech. 8, 8.
Syrovatskii, S. I. 1953 Cited as a problem by Landau & Lifshitz (1960), p. 228.