Decay of capillary wave turbulence

Abstract

We report on the observation of freely decaying capillary wave turbulence on the surface of a fluid. The capillary wave turbulence spectrum decay is found to be self-similar in time with the same power law exponent than the one found in the stationary regime, in agreement with weak turbulence predictions. The amplitude of all Fourier modes are found to decrease exponentially with time at the same damping rate. The longest wavelengths involved in the system are shown to be damped by viscous surface boundary layer. These long waves play the role of an energy source during the decay that sustains nonlinear interactions to keep capillary waves in a wave turbulent state.

References in corpus (4)

• Quasi-Adiabatic Decay of Capillary Turbulence on the Charged Surface of Liquid Hydrogen
• Turbulence damping as a measure of the flow dimensionality
• Modulation instability and capillary wave turbulence
• Energy decay laws in strongly anisotropic MHD turbulence

Cited by in corpus (11)

• Experiments in Surface Gravity-Capillary Wave Turbulence
• Space-Time Resolved Capillary Wave Turbulence
• Frequency dispersion of small-amplitude capillary waves in viscous fluids
• Experimental quasi-1D capillary-wave turbulence
• Transition from Weak Wave Turbulence to Soliton-Gas
• Wave turbulence in a two-layer fluid: coupling between free surface and interface waves
• Three-wave interactions among surface gravity waves in a cylindrical container [DOI]
• Wave turbulence on the surface of a fluid in a high-gravity environment
• Forced three-wave interactions of capillary-gravity surface waves
• Self-similar formation of an inverse cascade in vibrating elastic plates
• Turbulence and Capillary Waves on Bubbles