Abstract
Ultrasonic cleaning is widely accepted as being an extremely efficient method of decontaminating a diverse range of objects and products. Optimization of the process is generally achieved by variation in the intensity and the spectrum of ultrasound. This spectrum takes the form of individual lines, which are superimposed on the noise background. The stochastic dynamics of the bubble in the acoustic field, consisting of a strong harmonic and noise components, is considered. Application of Lie groups reveals the internal symmetry of the problem. An analytical solution of the problem has been derived in the vicinity of the static stability threshold (Blake threshold). A greater understanding of the stochastic bubble dynamics leads to determining the optimal conditions for ultrasonic cleaning.
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