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Study on Surface Active Bubble Dynamics Properties under Strong Low-Frequency Sound Waves

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Abstract

This paper delves into the dynamics of surface-active bubbles under low-frequency acoustic waves, with a focus on the stability effect and basic principle of rupture. The Rayleigh-Plesset equation is extended and modified based on real biological data, resulting in a model of surface-active bubbles with nonlinear surface tension. Using the Runge-Kutta method for numerical calculations, it is observed that larger acoustic wave amplitudes lead to larger bubble amplitudes. The acoustic wave frequency only affects the bubble vibration frequency in the low-frequency range, but at the resonance frequency, the bubble oscillations are violent. To further explain bubble rupture, the stress-strain relationship of the surface active layer of the bubble is studied, with the stress on the wall increasing sharply with the bubble radius. The stability of the non-spherical interface of the surface-active bubbles reveals a critical radius value, with bubbles in a stable state when the radius is smaller than this value. Through simulation, it is observed that bubbles vibrate in a steady state under stable conditions, but when the radius exceeds the critical value, a non-spherical interface appears ultimately resulting in inward depression and rupture.

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Data Availability

The data of this study are available from the authors upon request.

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Acknowledgements

The authors thank Z. Ding for the discussion and for providing supportive comments on the paper. We would like to thank the editors and reviewers for taking the time and energy to review this article. We also sincerely thank all valuable comments and suggestions, which have improved the quality of this paper.

Funding

The authors are supported by National Natural Science Foundation of China (No.12102109 and No.52072408).

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Conceptualization, project administration and supervision, Yun Zhao; Methodology, simulation, analysis of the results, Qi Feng; Writing original draft preparation Qi Feng and Yong Chen; Writing review and editing, Ruiqi Huang. All authors reviewed the manuscript.

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Correspondence to Qi Feng.

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Zhao, Y., Huang, R., Chen, Y. et al. Study on Surface Active Bubble Dynamics Properties under Strong Low-Frequency Sound Waves. Microgravity Sci. Technol. 36, 27 (2024). https://doi.org/10.1007/s12217-024-10101-3

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