An experiment on second-order capillary gravity resonant wave interactions
- 14 January 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 40 (2) , 251-271
- https://doi.org/10.1017/s0022112070000162
Abstract
This paper presents the results of a set of detailed experimental measurements on the resonant interaction of capillary-gravity waves for a case in which the entire propagation is in one direction. The influence of viscous attenuation is accounted for in the analysis. The measurements trace the entire spatial variation, or modulation envelope, of the amplitudes of the interacting modes from their inception near a wave-maker to their ultimate extinction through viscous dissipation, in excellent agreement with the theory. This is an unambiguous demonstration that at resonance and for the initial conditions specified at the wave-maker, a wave of uniform profile cannot exist.Keywords
This publication has 13 references indexed in Scilit:
- Nonlinear periodic capillary-gravity waves on a fluid of finite depthJournal of Geophysical Research, 1968
- The disintegration of wave trains on deep water Part 1. TheoryJournal of Fluid Mechanics, 1967
- Measurements of third-order resonant wave interactionsJournal of Fluid Mechanics, 1966
- An experiment on third-order resonant wave interactionsJournal of Fluid Mechanics, 1966
- Resonant interactions among capillary-gravity wavesJournal of Fluid Mechanics, 1965
- Non-linear gravity wave interactionsJournal of Fluid Mechanics, 1962
- Resonant interactions between two trains of gravity wavesJournal of Fluid Mechanics, 1962
- On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactionsJournal of Fluid Mechanics, 1960
- An exact solution for progressive capillary waves of arbitrary amplitudeJournal of Fluid Mechanics, 1957
- XVIII. On the electron theory of metallic conduction.—IJournal of Computers in Education, 1915