Mech. Eng. Dept., Chung-Ang Univ., Seoul, 156-756, Korea
Ohsan Tech. College, Ohsan, 447-749, Korea
Sonoluminescence (SL), the phenomenon of light emission associated with the collapse of bubbles oscillating under an ultrasonic pressure field has been studied by solving the continuity, momentum (Euler), and energy equations for the gas inside the bubble analytically. Heat transfer in the liquid layer adjacent to the bubble wall has also been considered in this analysis. It has been found that the gas behavior is neither adiabatic nor isothermal for a bubble under ultrasound conditions. In this analysis, the launch condition and the Hugoniot curve for the shock propagation has been identified, and the shock duration of 2.7 to 17 ps, which is comparable to experimental results, has been obtained with the help of a similarity solution (Guderley) for converging spherical shock. For SI, the gas temperature after the shock focusing has been found to be 7000--44 000 K, depending on the equilibrium bubble radius and the driving amplitude of ultrasound. It has also been found that the heat flux at bubble collapse is as large as 47 GW/m[sup 2], which could be more than enough to cause an explosion of an explosive crystal.