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The transmission of deep-water waves across a vortex sheet

Published online by Cambridge University Press:  29 March 2006

D. V. Evans
D. V. Evans
Affiliation:
Department of Mathematics, University of Bristol, England
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Abstract

The effect on an obliquely incident surface wave of a vortex sheet separating two uniform currents is considered. It is shown that the amplitude of the transmitted wave as a function of the angle of incidence and current strength is very close to that obtained by Longuet-Higgins & Stewart on the assumption of small smooth changes in current velocity. The difference is accounted for by a small amount of reflexion of the wave by the vortex sheet. It is suggested that, in the intermediate range where the change in current velocity over a wavelength is comparable with the wave velocity, the wave amplitude of the transmitted wave lies between the curves of Longuet-Higgins & Stewart and those found here.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 68 , Issue 2 , 25 March 1975 , pp. 389 - 401
Copyright
© 1975 Cambridge University Press

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