Abstract

In this paper, the evolution of the cavitation bubbles is investigated. A model is developed to describe the cyclic chain-like cavitation cloud and analyze its structure stability in a thin liquid layer. By considering the effect of secondary acoustic radiation of bubbles, the dynamic equations of the bubbles in three zones of the cyclic chain are obtained. The secondary Bjerknes force is selected and used to explore the interaction between the bubbles in different regions. Numerical results show that the newborn bubbles inside the pure liquid zone of the thin layer can be attracted by the bubbles at the cyclic chain-like bubble chain. The bubble number density can affect the coupling strength between bubbles, and it is closely related to the driving pressure. Therefore, the structure stability of cyclic chain-like cavitation cloud can be disrupted by the perturbations of the acoustic pressure. To verify our analysis, we observe the structure of cavitation cloud in a thin liquid layer in a strong acoustic field by using a high speed camera. It is observed that the simultaneous collapse of local bubbles occurs, and pure liquid-like thin layers are distributed in the bubble cloud randomly. The boundary of the pure liquid-like thin layers oscillates with the acoustic field, and these liquid zones sustain about 4 acoustic cycles. The experimental results accord well with theoretical results.

Highlights

  • The secondary Bjerknes force is selected to explore the interaction between the bubbles in different regions

  • Numerical results showed that the newborn bubbles inside the pure liquid zone

  • of the thin layer could be attracted by the bubbles at the cyclic chain-like bubble chain

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Summary

Introduction

关键词: 超声空化结构; 气泡群; 次 Bjerknes 力; 稳定性 PACS: 43.35.+d, 43.25.+y, 47.55.dp 国家自然科学基金(批准号: 11974232, 11727813)资助的课题. An[7]利用微分关系, 导出了一维气泡链与球状气泡群中气泡的动 力学方程, 并且通过计算势能与等效弹性系数对一维气泡链的稳定性进行了分 析[8]; 大功率工作状态下换能器辐射面附近可形成锥状泡群, 且在辐射面表面 处存在一柱状气泡云分布区, 基于气泡的耦合振动特征可得到柱状薄层泡群的 气泡动力学方程[9], 分析气泡的声响应; 从 KZK 方程出发可得到换能器附近的 声场分布[10], 并基于声场分布和次级 Bjerknes 力[11]解释锥状气泡群的现象. Bai 等[18]对圆盘状结构进行了解释, 他们认为主 Bjerknes 力推动气泡向气 系数, Pa 和 f 分别为驱动声波压力幅值和频率, i =1,2,3 分别代表区域 I, II, III 内

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