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On Kelvin-Helmholtz instability in a rotating fluid

Published online by Cambridge University Press:  28 March 2006

Herbert E. Huppert
Herbert E. Huppert
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla
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Abstract

Chandrasekhar's (1961) solution to the eigenvalue equation arising from the Kelvin-Helmholtz stability problem for a rotating fluid is shown to be incorrect. The unstable modes are correctly enumerated with the aid of Cauchy's principle of the argument. Various previously published solutions using Chandrasekhar's analysis are corrected and extended.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 2 , 12 August 1968 , pp. 353 - 359
Copyright
© 1968 Cambridge University Press

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References

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Alterman, Z. 1961c Effect of magnetic field and rotation on Kelvin-Helmholtz instability Phys. Fluids, 4, 1207–10.Google Scholar
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford: Clarendon Press.
Copson, E. T. 1962 The Theory of Functions of a Complex Variable. Oxford: Clarendon Press.
Taylor, G. I. 1931 Effect of variation in density on the stability of superposed streams of fluids. Proc. Roy. Soc A 132, 499–523.Google Scholar