Experimental observation of hydroelastic three-wave interactions

L. Deike1, 2, M. Berhanu3 and E. Falcon3

1 Departement of Mechanical and Aerospace Engineering, Princeton University, New Jersey 08544, USA
2 Princeton Environmental Institute, Princeton University, New Jersey 08544, USA
3 Université Paris Diderot, Sorbonne Paris Cité, MSC, UMR 7057 CNRS, F-75 013 Paris, France

Reference: Physical Review Fluids 2, 064803 (2017)

DOI: https://doi.org/10.1103/PhysRevFluids.2.064803   


We study experimentally three-wave interactions between hydroelastic waves propagating on the surface of a fluid covered by an elastic sheet (where both tension and bending are important). We observe the generation of a resonant daughter wave by nonlinear interaction among two mother waves of almost perpendicular directions. By using local and spatiotemporal wave-height measurements, the frequency and wave vector of the daughter wave are found to satisfy the resonance conditions within the measurement accuracy. Its amplitude is also found to be reasonably well described by the resonant wave interaction theory. Finally, a phase-locking among interacting waves is also observed, as expected theoretically.

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