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Shape and diffusion instabilities of two non-spherical gas bubbles under ultrasonic conditions |
| Wurihan Bao(包乌日汗)† and De-Xin Wang(王德鑫) |
| College of Physics and Electronics, Inner Mongolia Minzu University, Tongliao 028043, China |
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Abstract Ultrasonic cavitation involves dynamic oscillation processes induced by small bubbles in a liquid under the influence of ultrasonic waves. This study focuses on the investigation of shape and diffusion instabilities of two bubbles formed during cavitation. The derived equations for two non-spherical gas bubbles, based on perturbation theory and the Bernoulli equation, enable the analysis of their shape instability. Numerical simulations, utilizing the modified Keller—Miksis equation, are performed to examine the shape and diffusion instabilities. Three types of shape instabilities, namely, Rayleigh—Taylor, Rebound, and parametric instabilities, are observed. The results highlight the influence of initial radius, distance, and perturbation parameter on the shape and diffusion instabilities, as evidenced by the R0—Pa phase diagram and the variation pattern of the equilibrium curve. This research contributes to the understanding of multiple bubble instability characteristics, which has important theoretical implications for future research in the field. Specifically, it underscores the significance of initial bubble parameters, driving pressure, and relative gas concentration in determining the shape and diffusive equilibrium instabilities of non-spherical bubbles.
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Received: 28 June 2023
Revised: 11 September 2023
Accepted manuscript online: 18 September 2023
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PACS:
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78.60.Mq
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(Sonoluminescence, triboluminescence)
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43.25.+y
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(Nonlinear acoustics)
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| Fund: Project supported by the Scientific Research Project of Higher Education in the Inner Mongolia Autonomous Region (Grant No. NJZY23100). |
Corresponding Authors:
Wurihan Bao
E-mail: baowurihan@imun.edu.cn
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Cite this article:
Wurihan Bao(包乌日汗) and De-Xin Wang(王德鑫) Shape and diffusion instabilities of two non-spherical gas bubbles under ultrasonic conditions 2024 Chin. Phys. B 33 017803
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