Acoustics of a Two-fractional Polydisperse Bubbly Liquid with Phase Transitions

Abstract

A mathematical model that determines the propagation of acoustic waves in a two-fractional mixture of a liquid with polydisperse vapor-gas bubbles of different sorts, taking into account the phase transitions in each fraction is presented. A system of integro-differential equations of the disturbed motion of a two-phase mixture is written, and a dispersion equation is obtained. In particular cases, for gas-liquid and vapor-liquid mixtures, expressions for the equilibrium speed of sound are obtained.