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On the hydromagnetic stability of an unsteady Kelvin-Helmholtz flow

Published online by Cambridge University Press:  29 March 2006

B. Roberts
B. Roberts
Affiliation:
Department of Applied Mathematics, University of St Andrews, Fife, Scotland
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Abstract

An analysis is made of the stability of an unsteady basic flow of a conducting fluid in the presence of a parallel magnetic field. The particular profile investigated is the classical Kelvin–Helmholtz profile modified by the addition of an oscillatory component. Two cases are considered in detail: that of a perfectly conducting fluid and that of a poorly conducting fluid. The investigation leads, in both cases, to an equation of the Hill type. It is concluded that the magnetic field has a stabilizing influence but is nevertheless unable to suppress the Kelvin–Helmholtz instability in an unsteady (basic) flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 1 , 5 June 1973 , pp. 65 - 76
Copyright
© 1973 Cambridge University Press

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