The Effect of Evaporation and Condensation on Nonlinear Bubble Dynamics

Abstract

Mathematical formulations have been made of the physical behavior of a bubble in an acoustic field. A new model of nonlinear bubble dynamics is constructed including effects of compressibility of the liquid, and evaporation and condensation of water vapour at bubble wall. The kinetic equation of evaporation and condensation of water vapour at the bubble wall is calculated numerically in order to investigate the effect of evaporation and condensation. Comparison is given between this model and the isolated adiabatic model.It is concluded that the effect of evaporation and condensation is considerable on bubble dynamics in acoustic field. It is also clarified that the partial pressure of water vapour is identical to the saturated vapour pressure except at bubble collapse. At a strong collapse, the partial pressure of water vapour differs from the saturated vapour pressure. Comparison of radius-time curve is given between the calculated results and an experimental data by others. The calculated result by this model fits with the experimental data.