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The effects of interference and viscosity in the Kelvin ship-wave problem

Published online by Cambridge University Press:  28 March 2006

R. F. Allen
R. F. Allen
Affiliation:
Department of Mathematics, University of Leeds
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Abstract

A comparison is made between the effects of spreading the source (thus causing interference) and of viscosity in the Kelvin ship-wave problem. Two simple pressure distributions are considered and in both it is found that spreading, like viscosity, introduces a multiplicative damping factor into the inviscid pressure-point solution. In one case it is this factor, rather than that of viscosity, which dominates the decay of the wave profile, while, in the other, the effects alternate in importance as one travels along any particular wave crest.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 3 , 2 December 1968 , pp. 417 - 421
Copyright
© 1968 Cambridge University Press

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References

Barratt, M. J. 1965 J. Fluid Mech. 22, 39.
Crapper, G. D. 1964 Proc. Roy. Soc. A, 282, 547.
Cumberbatch, E. 1965 J. Fluid Mech. 23, 471.
Ursell, F. 1960 J. Fluid Mech. 8, 418.