Numerical analysis of shock energy dissipation in microbubble clouds

Abstract

In this study, energy dissipation via shock–bubble interaction (SBI) is investigated. With the SBI model developed herein, shock propagation in a bubbly mixture where shockwaves move in a steady state with constant shock velocity and shock strength are obtained as forms of time histories of gas and liquid pressure, bubble radius, and gas temperature. Shock energy is dissipated through thermal heat transfer between the gas and the liquid during bubble oscillation after the shockwave passes in a certain location. The dissipation energy (DE) and damping time (DT) were obtained in the form of dimensionless functions with SBI initial values of the gas volume fraction, bubble radius, and shock strength. Finally, the dissipation power is estimated by combining the concepts of DE and DT that evaluates the ability of energy mitigation in a given SBI system.