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Note on the instability of a non-uniform vortex sheet

Published online by Cambridge University Press:  28 March 2006

L. M. Hocking
L. M. Hocking
Affiliation:
University College London, Gower Street, W. C. 1
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Abstract

Howard's semicircle theorem and a variational principle for the instability of unidirectional flow of an inviscid fluid are applied to the non-uniform vortex sheets discussed in a previous paper (Hocking 1964). Certain results of §5 of that paper are shown to be wrong and the correct results are obtained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 21 , Issue 2 , February 1965 , pp. 333 - 336
Copyright
© 1965 Cambridge University Press

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References

Eckart, C. 1963 Phys. Fluids, 6, 1042.
Hocking, L. M. 1964 J. Fluid Mech. 18, 177.
Howard, L. N. 1961 J. Fluid Mech. 10, 509.