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Instability of a surface of discontinuity of velocity in a parallel uniform magnetic field

Published online by Cambridge University Press:  28 March 2006

D. D. Mallick
D. D. Mallick
Affiliation:
Department of Applied Mathematics, Calcutta University
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Abstract

The problem described by the title is investigated when the magnetic field is uniform and parallel to the velocity on the two sides of a surface of discontinuity of velocity in an electrically conducting inviscid fluid. The secular equation depends on two parameters β and N, where β is the ratio of magnetic Reynolds number to dimensionless wave number and N is the ratio of the magnetic to the kinetic energy of the fluid. It is found that the flow is unstable for all values of β and N.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 16 , Issue 2 , June 1963 , pp. 187 - 196
Copyright
© 1963 Cambridge University Press

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References

Drazin, P. G. 1960a Stability of parallel flow in a parallel magnetic field at small magnetic Reynolds numbers. J. Fluid Mech. 8, 130.Google Scholar
Drazin, P. G. 1960b Stability of a broken–line jet in a parallel magnetic field. J. Math. Phys. 39, 49.Google Scholar
Michael, D. H. 1955 The stability of a combined current and vortex sheet in a perfectly conducting fluid. Proc. Camb. Phil. Soc. 51, 528.Google Scholar