Parametric internal waves in a compressible fluid

Abstract

We describe the effect of vibration on a confined volume of fluid which is density stratified due to its compressibility. We show that internal gravity-acoustic waves can be parametrically destabilized by the vibration. The resulting instability is similar to the classic Faraday instability of surface waves, albeit modified by the compressible nature of the fluid. It may be possible to observe experimentally near a gas-liquid critical point.

The nonlinear stability regime of the viscous Faraday wave problem

“…Simulations and numerical studies also have achieved results that agree well with experiments in various settings: see for instance Périnet-Juric-Tuckerman [19] and Qadeer [20]. Faraday waves have also been studied with linear and numerical analysis in compressible fluids by Das-Morris-Bhattacharyay [8].…”