The effect of phase transition and high-frequency vibrations on Rayleigh–Taylor instability: a single-mode approach

Abstract

The article presents the results of a study of the combined effect of phase transition and high-frequency vibrations on the evolution of localized and periodic disturbances at the liquid-vapor interface. The study was conducted on a single-mode potential model of the Layzer type. The main state is described, when the liquid is displaced from the heater by a layer of continuously forming vapor. On this moving interface, the Rayleigh-Taylor instability develops, which takes the form of vapor ‘bubbles’ penetrating into the liquid, the velocities of which are summed up with the total velocity of the interface and tend to the asymptotic value determined in this study. The study has found that the development of disturbances depends weakly on their selected type (localized or periodic disturbances). The presence of high-frequency vibrations has the consequence that long-wave disturbances become most rapidly growing at the linear stage. For these, the asymptotic velocity, characterizing the ascent of vapor bubbles in the liquid, turns out to be higher.