THEORETICAL ANALYSIS TO THE RADIAL MOTION OF A SPHERICAL GAS BUBBLE

Abstract

perturbation analysis is made of a nonlinear wave equation describing a solution tothe problem of oscillation of gas-filled spherical cavity in an infinite compressible liquid.Numerical solution has been made of radial motion of the bubble in the liquid. Themathematical formulation takes into account the effects of the thermal conduction both insideand outside the bubble. The gas in the bubble is air and the liquid is water. The numericalresults indicate that the thermal conduction strongly influence the dynamical behavior of thebubble in acoustic field. The calculated result fits with the experimental data of radius-timecurve. It is clarified that the effect of thermal conduction stabilizes bubble oscillations. It isalso clarified that the bubble transducers the energy of the acoustic wave into heat