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On the stability of a plane vortex sheet with respect to three-dimensional disturbances

Published online by Cambridge University Press:  28 March 2006

J. A. Fejer  and
John W. Miles
J. A. Fejer
Affiliation:
Institute of Advanced Studies, Australian National University, Canberra
John W. Miles
Affiliation:
Southwest Centre for Advanced Studies, P.O. Box 8478, Dallas, Texas
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Abstract

The previously established criterion for the stability of a vortex sheet with respect to two-dimensional disturbances in a compressible fluid is extended to three-dimensional disturbances, and it is shown that disturbances travelling at sufficiently oblique angles with respect to the undisturbed flow are unstable. Slip-line instability downstream of a Mach reflexion is discussed briefly.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 15 , Issue 3 , March 1963 , pp. 335 - 336
Copyright
© 1963 Cambridge University Press

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References

Bryson, A. E. & Gross, R. W. F. 1961 J. Fluid Mech. 10, 1–16.
Duff, R. E. 1962 Proceedings of Symposia in Applied Mathematics, 13, 77–8.
Landau, L. D. & Lifschitz, E. M. 1959 Fluid Mechanics. London: Pergamon Press.
Lin, C. C. 1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
Miles, J. W. 1958 J. Fluid Mech. 4, 538–52.