Cavitation dynamics. I. A mathematical formulation

A set of equations has been derived to describe the dynamical motions of small cavitation bubbles in liquids set into motion by an acoustic pressure field. The mathematical formulation takes into account heat conduction inside a bubble and in the surrounding liquid, and the viscosity, compressibility, and surface tension of the liquid. The effect of vapor pressure may be determined as a function of the interfacial temperature. The formulation consists of nonlinear ordinary differential, integral, and algebraic equations, and has been programmed for solution on a digital computer. Subject Classification: 25.60; 35.68.