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The effect of trapped field on stationary waves formed at the interface of a conduction fluid and a magnetic field

Published online by Cambridge University Press:  29 March 2006

M. D. Savage
M. D. Savage
Affiliation:
Department of Mathematics, University of Wisconsin
On leave from the University of Leeds, England
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Abstract

A two-dimensional, moving, incompressible and electrically conducting fluid having trapped magnetic field (i.e. field threading the fluid) is confined by a uniform vacuum magnetic field. The fluid-vacuum field interface is horizontal and assumed to be free from instabilities. Dissipation by viscosity and resistivity is neglected, hence, for steady motion, the trapped field may be regarded as frozen into the fluid, in the sense that both move together. A pressure disturbance is introduced into the system, and it is found that a harmonic stationary wave is formed upstream provided certain criteria hold.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 2 , 22 June 1970 , pp. 289 - 294
Copyright
© 1970 Cambridge University Press

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References

Goldsworthy, F. A. 1961 J. Fluid Mech. 11, 51.
Lighthill, M. J. 1960 Phil. Trans. A 252, 397.
Lim, C. S. 1968 Ph.D. Thesis, University of Leeds.