Reflection of finite amplitude acoustic wave from a vapor-liquid interface

Abstract

We numerically investigate the reflection of finite amplitude acoustic wave from a vapor-liquid interface and resulting evaporation or condensation flow induced by the reflected wave on the basis of the kinetic theory of gases. As an initial condition, we consider the finite amplitude plane acoustic wave propagating in a vapor bounded by the liquid layer of the same molecule as the vapor. The governing equation of wave motion in the vapor is the Boltzmann-Krook-Welander equation and the boundary condition at the interface is the complete condensation condition. The Boltzmann-Krook-Welander equation is numerically solved with a finite difference method. As a result, we clarify the reflection law of finite amplitude wave at the interface, which determines an evaporation or condensation flow established after the wave reflection. We numerically investigate the reflection of finite amplitude acoustic wave from a vapor-liquid interface and resulting evaporation or condensation flow induced by the reflected wave on the basis of the kinetic theory of gases. As an initial condition, we consider the finite amplitude plane acoustic wave propagating in a vapor bounded by the liquid layer of the same molecule as the vapor. The governing equation of wave motion in the vapor is the Boltzmann-Krook-Welander equation and the boundary condition at the interface is the complete condensation condition. The Boltzmann-Krook-Welander equation is numerically solved with a finite difference method. As a result, we clarify the reflection law of finite amplitude wave at the interface, which determines an evaporation or condensation flow established after the wave reflection.