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The reflexion of an acoustic pulse by a plane vortex sheet

Published online by Cambridge University Press:  24 October 2008

D. S. Jones
D. S. Jones
Affiliation:
Department of Mathematics, The University, Dundee
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Abstract

This paper deals with the influence of a vortex sheet separating two fluids in relative motion on the radiation from a point source of sound. Both the harmonic and impulsive sources are considered and it is found that waves due to Helmholtz instability must be included in order to ensure that there is no field before the source is excited. The instability wave is confined to a finite region and dominates other disturbances in that region. It is suggested that the instabifity wave is initiated by the unrestricted growth of the specularly reflected wave.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 2 , September 1973 , pp. 349 - 364
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

(1)Jones, D. S. and Morgan, J. D.Proc. Cambridge Philos. Soc. 72 (1972), 465.CrossRefGoogle Scholar
(2)Jones, D. S. and Morgan, J. D.Proc. Roy. Soc. Edinburgh Sect. A 71, (1973), 121.Google Scholar
(3)Hardisty, N.Proc. Roy. Soc. Edinburgh Sect. A 71, (1973), 141.Google Scholar
(4)Ffowcs Williams, J. E.Inaugural Lecture at Imperial College of Science and Technology (1970).Google Scholar
(5)Tam, C. K. W.J. Fluid Mech. 46 (1971), 757.CrossRefGoogle Scholar
(6)Ollerhead, J. B.Wyle Res. Rep. WR 66–44 (1966).Google Scholar
(7)Potter, R. C.Wyle Lab. Res. Staff Tech Rep. WR 68–4 (1968).Google Scholar
(8)Lowson, M. V. and Ollerhead, J. B.J. Accoust. Soc. Amer. 44 (1968), 624.CrossRefGoogle Scholar
(9)Dosanji, D. S. and Yu, J. C.Proc. AFOSR.UTIAS Symp. Toronto. 1968.Google Scholar
(10)Jones, D. S.Theory of Electromagnetism (Pergamon, 1964).Google Scholar
(11)Jones, D. S.Quart. J. Math. (2), 24 (1973), 145–163.CrossRefGoogle Scholar