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Nonlinear gravity–capillary surface waves in a slowly varying current

Published online by Cambridge University Press:  29 March 2006

Dennis Holliday
Dennis Holliday
Affiliation:
R & D Associates, P.O. Box 3580, Santa Monica, California
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Abstract

The propagation of nonlinear gravity–capillary surface waves in a deep slowly varying current is investigated using the conservation equations in the eikonal approximation. Graphical comparisons are made between solutions of the wave- slope and wavenumber equations for infinitesimal waves and finite amplitude waves. Finite amplitude effects are shown to be weaker for small amplitude capillary waves than for gravity waves. The ‘wave barrier’ noted by Gargett & Hughes (1972) for infinitesimal gravity waves on a slowly varying current is seen to be removed by finite amplitude effects.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 4 , 6 March 1973 , pp. 797 - 802
Copyright
© 1973 Cambridge University Press

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