A NUMERICAL STUDY OF WEAK SHOCK-WAVE PROPAGATION IN A REACTIVE BUBBLYLIQUID

A numerical study is presented on the response of a weakly shock compr essed liquid column that contains reactive gas bubbles. Both the liqui d and gas are considered compressible. Compressibility of the liquid a llows calculation of shock and rarefaction waves in the pure liquid as well as in the gas/liquid mixture. A microscopic model for local bubb le collapse is coupled with a macroscopic model of wave propagation th rough the gas/liquid mixture. In the particular cases presented here, the characteristic times of propagation of the shock wave and bubble c ollapse are of the same order of magnitude. Consequently, the coupling between various phenomena is very strong, The present model based on fundamental principles of two-phase fluid mechanics takes into account the coupling of localized bubble oscillations. This model is composed of a microscopic one in the scale of a bubble size, and a macroscopic one which is based on the mixture theory. The liquid under study is w ater, and the gas is a reactive mixture of argon, hydrogen and oxygen.