Abstract

A linear stability theory of the harmonic motion of cavitation bubbles subject to an acoustic field with respect to viscous perturbations is developed. The effects of viscosity are found to be significant only within a layer, adjacent to the gas-liquid interface, the thickness of which is proportional to $$\sqrt {2\nu /\omega } $$ , where ν is the kinematic viscosity of the liquid and ω the frequency of the acoustic field. We determine a maximum amplitude of the pressure oscillation below which radial oscillations are found to be stable for any frequency ω both in the subharmonic and in the synchronous case.

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