Wave dynamics of bubbly liquids mathematical models and numerical simulation

Propagation of pressure waves in a bubbly liquid is investigated numerically taking into account the internal phenomena inside the bubble. Governing equations for the bubbly liquid are formulated with emphasis on the radial and transverse motion and volumetric change, is developed. Numerical results under several conditions reveal that the radial motion of the bubbles, which is affected by the internal phenomena, such as thermal conduction through the bubble wall, have significant influence on the relaxation phenomena behind the shock wave and also behind the rarefaction wave in the bubbly liquid.