Experimental study of three-wave interactions among capillary-gravity surface waves
arXiv:1603.02654 · doi:10.1103/PhysRevE.93.043110
Abstract
In propagating wave systems, three or four-wave resonant interactions constitute a classical non-linear mechanism exchanging energy between the different scales. Here we investigate three-wave interactions for gravity-capillary surface waves in a closed laboratory tank. We generate two crossing wave-trains and we study their interaction. Using two optical methods, a local one (Laser Doppler Vibrometry) and a spatio-temporal one (Diffusive Light Photography), a third wave of smaller amplitude is detected, verifying the three-wave resonance conditions in frequency and in wavenumber. Furthermore, by focusing on the stationary regime and by taking into account viscous dissipation, we directly estimate the growth rate of the resonant mode. The latter is then compared to the predictions of the weakly non-linear triadic resonance interaction theory. The obtained results confirm qualitatively and extend previous experimental results obtained only for collinear wave-trains. Finally, we discuss the relevance of three-wave interaction mechanisms in recent experiments studying gravity-capillary turbulence.
in press in Phys. Rev. E. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2016
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Cited by in corpus (6)
- Experiments in Surface Gravity-Capillary Wave Turbulence
- Frequency dispersion of small-amplitude capillary waves in viscous fluids
- Elastic wave-turbulence and intermittency
- Forced three-wave interactions of capillary-gravity surface waves
- Evidence of experimental three-wave resonant interactions between two dispersion branches
- Dancing rivulets in an air-filled Hele-Shaw cell