Abstract

The pressure response of a small air bubble in water is calculated numerically in an oscillatory pressure field. Many phenomena are taken into account in the calculation, such as mist formation inside the bubble due to homogeneous condensation, and the diffusion between vapor and noncondensable gas inside the bubble. The internal condition adapts itself easily to the oscillatory pressure field by the internal phenomena, which include mist formation, and evaporation and deposition onto the bubble wall, so that the bubble tends to oscillate synchronously. The frequency response curves for bubbles are calculated. The curve is shifted toward the lower frequency and the maximum bubble radius becomes larger. When the pressure amplitude is increased, the periodic bubble oscillation bifurcated to a nonperiodic oscillation which constitutes a deterministic chaos.

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