Viscous Regularization of Breaking Faraday Waves

Abstract

The effect of the viscosity of a liquid on the parameters of standing surface gravity waves in a vertically oscillating rectangular vessel has been experimentally studied. It has been shown for the first time that a 60-fold increase in the viscosity of a working medium as compared to water fundamentally changes the parameters of the second nonlinear wave mode: waves are regularized in the total absence of their breaking. The effect of viscosity on the resonance dependences and process of damping of waves has been studied. The numerical analysis of the dispersion relation for gravity waves has shown that the effects observed in the experiment are due to the presence of short-range perturbations in the cutoff region, where viscous dissipation becomes a dominant factor and short waves are suppressed.