Streszczenie: This paper presents a numerical investigation into the validity of certain predictions arising from asymptotic theory, specifically concerning the existence of dual resonance radii and the upper bound on bubble size for a given acoustic amplitude and frequency. The findings indicate that a diminutive vapour bubble situated within a sound field of adequate amplitude undergoes rapid growth attributable to resonance. Subsequently, the bubble continues to expand at a markedly reduced rate, seemingly without limits. Consequently, resonance phenomena are observed to be influential for only a limited number of acoustic cycles, whereas the attainment of the predicted size limit (if indeed reached) necessitates a significantly greater number of cycles, far exceeding several tens of thousands. Furthermore, the study reveals that the growth or collapse of certain small bubbles is contingent on the phase of the applied sound field. To facilitate the numerical evaluation of these observed effects, a corresponding mathematical model is proposed.
Abstract: This paper presents a numerical investigation into the validity of certain predictions arising from asymptotic theory, specifically concerning the existence of dual resonance radii and the upper bound on bubble size for a given acoustic amplitude and frequency. The findings indicate that a diminutive vapour bubble situated within a sound field of adequate amplitude undergoes rapid growth attributable to resonance. Subsequently, the bubble continues to expand at a markedly reduced rate, seemingly without limits. Consequently, resonance phenomena are observed to be influential for only a limited number of acoustic cycles, whereas the attainment of the predicted size limit (if indeed reached) necessitates a significantly greater number of cycles, far exceeding several tens of thousands. Furthermore, the study reveals that the growth or collapse of certain small bubbles is contingent on the phase of the applied sound field. To facilitate the numerical evaluation of these observed effects, a corresponding mathematical model is proposed.
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