Nonlinear gravity–capillary surface waves in a slowly varying current
- 6 March 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 57 (4) , 797-802
- https://doi.org/10.1017/s0022112073002028
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.Keywords
This publication has 7 references indexed in Scilit:
- Nonlinear gravity waves on steady non-uniform currentsJournal of Fluid Mechanics, 1972
- On the interaction of surface and internal wavesJournal of Fluid Mechanics, 1972
- A general approach to linear and non-linear dispersive waves using a LagrangianJournal of Fluid Mechanics, 1965
- Mass, momentum and energy flux in water wavesJournal of Fluid Mechanics, 1962
- The changes in amplitude of short gravity waves on steady non-uniform currentsJournal of Fluid Mechanics, 1961
- Surface WavesPublished by Springer Nature ,1960
- On Progressive WavesProceedings of the London Mathematical Society, 1877