Bubble collapse and shock wave formation in sonoluminescence

The spherically-symmetric problem of the oscillations of a single gas bubble in the center of a spherical flask filled with a compressible liquid that is excited by pressure oscillations on the flask wall is considered. The initial conditions of the problem correspond to the sonoluminescence experimental data. A semi-analytic model with “liquid drop” is given which allows to reduce the computational region by assuming that the liquid is quite incompressible far from the bubble surface. Using the numerical results an analysis of the heat transfer effects in the gas during the collapse time has been carried out. The calculations show that accounting for heat conductivity leads to disappearance of the shock waves which occur in the adiabatic model.