The transmission of deep-water waves across a vortex sheet
- 25 March 1975
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 68 (02), 389-401
- https://doi.org/10.1017/s0022112075000870
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.Keywords
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