Predictions of bubble behavior in sulfuric acid solutions by a set of solutions of Navier–Stokes equations

The nonlinear behavior of individual bubbles in liquid under periodic pressure fields has drawn considerable attention in conjunction with the design of sonochemical reactor and sonoluminescence phenomena. In this study, the motion of bubble under ultrasound was predicted by a set of solutions of the Navier–Stokes equations for the gas inside a spherical bubble and an analytical treatment of the Navier–Stokes equations for the liquid adjacent to the bubble wall. The theory permits one to predict correctly the bubble radius–time curve and the characteristics of the sonoluminescing gas bubble in sulfuric acid solutions, such as the peak temperature and pressure at the collapse point. It has turned out that the heat transfer inside the bubble and the liquid layer plays a major role in the bubble behavior. Mass transfer through the interface does not affect the bubble motion.