Three-wave interactions among surface gravity waves in a cylindrical container [DOI]
arXiv:1901.03549 · doi:10.1103/PhysRevFluids.4.012801
Abstract
The motion of a container filled with fluid perturbs the free surface and may result in spilling. In practice, most of the energy is localized in the modes of lowest frequencies (the gravest modes), and sloshing can be predicted once the dynamics of these modes is known. In this Rapid Communication, we investigate the nonlinear interactions between such grave modes in a cylindrical container. We first show that energy can be transferred from modes to modes with three-wave interactions: we derive the resonance conditions and characterize the early stage of this interaction. This result strongly contrasts with resonant interactions between surface gravity waves in extended domains such as the ocean, which involve at least four waves and are thus less efficient. An experiment is then performed to provide evidence of these nonlinear interactions.
7 pages, 3 figures
References in corpus (5)
- Nonlocal resonances in weak turbulence of gravity-capillary waves
- Decay of capillary wave turbulence
- Energy flux measurement from the dissipated energy in capillary wave turbulence
- Investigation of resonances in gravity-capillary wave turbulence
- Observation of resonant interactions among surface gravity waves
Cited by in corpus (6)
- Experiments in Surface Gravity-Capillary Wave Turbulence
- Wave turbulence on the surface of a fluid in a high-gravity environment
- Forced three-wave interactions of capillary-gravity surface waves
- Thermodynamics and Statistical Equilibrium of Large-Scale Hydroelastic Wave Turbulence
- Resonant triad interactions of gravity waves in cylindrical basins
- Time crystal optomechanics