The Internal Pressure Dependent Behaviour of a Cavitation Bubble in Refrigerants

Abstract

The nonlinear oscillation of a bubble in compressible refrigerants subject to a periodic pulsating pressure is theoretically analyzed. For nonlinear oscillations of the gas bubble, the approximation that the pressure within the bubble follows a polytropic relation. It has several limitations and needs to be reconsidered. A new formulation of the dynamics of bubble oscillations in refrigerants is presented in which the internal pressure of the bubble is calculated numerically. Our results are compared with that obtained from polytropic formulation. Several comparisons are given for results of the two formulations, which describe in some detail limitations of the polytropic formulation. The good agreement is found between the results of the polytropic formulation and the numerical method only when the oscillation amplitude is small.