Numerical Simulation of Shock Wave Propagation in a Bubbly Liquid with a Two-Fluid and Three-Pressure Model

摘要

The shock wave propagation in a bubbly liquid is numerically studied with a two-fluid and three-pressure model of averaged equations for two-phase bubbly flow. A surface average pressure at the bubble wall is introduced in addition to the volume average pressures for gas and liquid phases so as to deal with the local high pressure caused by the cavitation bubble collapse in high-speed bubbly flows. The governing equations are solved with MacCormack scheme. The influence of initial void fraction on the propagation of shock wave is clarified. Furthermore, it is shown that the difference of the propagation characteristics between the compression and expansion waves appears to be conspicuous more and more as the initial void fraction increases.