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Radiation from vortex filament motion near a half plane

Published online by Cambridge University Press:  29 March 2006

D. G. Crighton
D. G. Crighton
Affiliation:
Department of Mathematics, Imperial College, London
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Abstract

The two-dimensional low Mach number sound field from the passage of a line vortex around the edge of a rigid half plane is calculated by singular perturbation methods. Simple exact expressions are given for the space-time variation of the acoustic field, and for the total radiated energy and its frequency spectrum. These expressions show in particular that the effect of the half plane is to increase the energy radiated by a nearby vortical flow by M−3, where M is a characteristic Mach number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 51 , Issue 2 , 25 January 1972 , pp. 357 - 362
Copyright
© 1972 Cambridge University Press

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References

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