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Stationary gravity waves on non-uniform free streams: jet-like streams

Published online by Cambridge University Press:  24 October 2008

D. H. Peregrine  and
Ronald Smith
D. H. Peregrine
Affiliation:
School of Mathematics, Bristol University
Ronald Smith
Affiliation:
Fluid Mechanics Research Institute, University of Essex
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Abstract

The basic state considered in this paper is a parallel flow of a jet-like character with the centre of the jet being at or near a free surface which is horizontal. Stationary surface gravity waves may exist on such a flow, and a number of examples are looked at for small amplitude waves. Explicit solutions are given for ‘top-hat’ profile jets and for two-dimensional flows. Asymptotic solutions are developed for stationary waves of large wave-number.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 2 , March 1975 , pp. 415 - 438
Copyright
Copyright © Cambridge Philosophical Society 1975

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