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11.—The Instability due to Acoustic Radiation striking a Vortex Sheet on a Supersonic Stream*

Published online by Cambridge University Press:  14 February 2012

D. S. Jones  and
J. D. Morgan
D. S. Jones
Affiliation:
Department of Mathematics, University of Dundee.
J. D. Morgan
Affiliation:
Department of Mathematics, University of Dundee.
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Synopsis

The propagation of sound across a vortex sheet separating two fluids, with the same density and sound speed, which are in supersonic relative motion is examined for both harmonic and impulsive sources. It is found that instability waves are present when M < 2√2, M being the Mach number, and it is suggested that these may account for the phenomena observed in certain experiments. For M > 2 there are also neutral stability waves and these lie in regions in the supersonic stream which are otherwise silent when the excitation is an impulsive source.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 71 , Issue 2 , 1973 , pp. 121 - 140
Copyright
Copyright © Royal Society of Edinburgh 1973

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References

References to Literature

Ffowcs Williams, J. E., 1970. Inaugural lecture at Imperial College of Science and Technology.Google Scholar
Jones, D. S. and Morgan, J. D., 1972. Proc. Camb. Phil. Soc. Math. Phys. Sci., 72, 465–488.CrossRefGoogle Scholar