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14.—The Effect of Radiation due to a Moving Source on a Vortex Sheet*

Published online by Cambridge University Press:  14 February 2012

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

An acoustic line source is moving parallel to the vortex sheet dividing two fluids in relative motion and the lifetime of the source is finite. The resulting phenomena are compared with those created by a fixed pulsed source. It is found that the waves produced by the source in motion are not so singular as, though qualitatively similar to, those due to a source which remains in one position but Helmholtz instability still has a dominant part to play. This statement is true whether the source be moving subsonically or supersonically so long as it has non-zero velocity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 72 , Issue 3 , 1975 , pp. 195 - 205
Copyright
Copyright © Royal Society of Edinburgh 1975

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References

References to Literature

Ffowcs Williams, J. E. 1970. Inaugural Lecture at Imperial College of Science and Technology.Google Scholar
Hardisty, N., 1973. Proc. Roy. Soc. Edinb., 71A, 141.Google Scholar
Hardisty, N., 1974. Proc. Roy. Soc. Edinb., 72A, 79.CrossRefGoogle Scholar
Jones, D. S., 1966. Generalised Functions. London: McGraw-Hill.Google Scholar
Jones, D. S., 1973. Q. Jl Math., 24, 145.CrossRefGoogle Scholar
Jones, D. S. and Morgan, J. D., 1972. Proc. Camb. Phil. Soc. Math. Phys. Sci., 72, 465.CrossRefGoogle Scholar
Jones, D. S. and Morgan, J. D.,, 1973. Proc. Roy. Soc. Edinb., 71A, 121.Google Scholar
Morgan, J. D. and Jones, D. S., 1974. Proc. Roy. Soc., 338A, 17.Google Scholar
Titchmarsh, E. C., 1939. Theory of Functions, 2nd Edn. O.U.P.Google Scholar