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

作　　者：包乌日汗 王德鑫 Wurihan Bao;De-Xin Wang(College of Physics and Electronics,Inner Mongolia Minzu University,Tongliao 028043,China)

机构地区：[1]College of Physics and Electronics,Inner Mongolia Minzu University,Tongliao 028043,China

出　　处：《Chinese Physics B》2024年第1期715-721,共7页中国物理B（英文版）

基　　金：Project supported by the Scientific Research Project of Higher Education in the Inner Mongolia Autonomous Region (Grant No.NJZY23100)。

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 R_0–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 

分 类 号：O35[理学—流体力学]