Theoretical analysis to the radial motion of a spherical gas bubble

Abstract EN

A perturbation analysis is made of a nonlinear wave equation describing a solution to the 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.

The mathematical formulation takes into account the effects of the thermal conduction both inside and outside the bubble.

The gas in the bubble is air and the liquid is water.

The numerical results indicate that the thermal conduction strongly influence the dynamical behavior of the bubble in acoustic field.

The calculated result fits with the experimental data of radius-time curve.

It is clarified that the effect of thermal conduction stabilizes bubble oscillations.

It is also clarified that the bubble transducers the energy of the acoustic wave into heat.