Shape and diffusion instabilities of two non-spherical gas bubbles under ultrasonic conditions

doi:10.1088/1674-1056/acfa81

中国物理B ›› 2024, Vol. 33 ›› Issue (1): 17803-17803.doi: 10.1088/1674-1056/acfa81

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

收稿日期:2023-06-28 修回日期:2023-09-11 接受日期:2023-09-18 出版日期:2023-12-13 发布日期:2023-12-29
通讯作者: Wurihan Bao E-mail:baowurihan@imun.edu.cn
基金资助:
Project supported by the Scientific Research Project of Higher Education in the Inner Mongolia Autonomous Region (Grant No. NJZY23100).

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

Received:2023-06-28 Revised:2023-09-11 Accepted:2023-09-18 Online:2023-12-13 Published:2023-12-29
Contact: Wurihan Bao E-mail:baowurihan@imun.edu.cn
Supported by:
Project supported by the Scientific Research Project of Higher Education in the Inner Mongolia Autonomous Region (Grant No. NJZY23100).

摘要/Abstract

摘要： 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—P_a 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.

关键词: non-spherical bubble, shape instability, diffusive instability

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—P_a 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.

Key words: non-spherical bubble, shape instability, diffusive instability

中图分类号: (Sonoluminescence, triboluminescence)

78.60.Mq

43.25.+y (Nonlinear acoustics)

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[J]. 中国物理B, 2024, 33(1): 17803-17803.

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[J]. Chin. Phys. B, 2024, 33(1): 17803-17803.

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Shape and diffusion instabilities of two non-spherical gas bubbles under ultrasonic conditions

Shape and diffusion instabilities of two non-spherical gas bubbles under ultrasonic conditions

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