基于气泡统一方程的声场双气泡耦合作用研究  

A study on the coupling effect of double bubbles in sound field based on the unified equation for bubble dynamics

作　　者：谈乃正 詹立蕾 李世民 李帅 张阿漫[1,2] TAN Naizheng;ZHAN Lilei;LI Shimin;LI Shuai;ZHANG Aman(Nanhai Innovation&Development Center,Harbin Engineering University,Sanya 572024,China;College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学三亚南海创新发展基地,海南三亚572024 [2]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2024年第2期213-222,共10页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(51925904,52088102);海南省财政科技计划(ZDKJ2021020)。

摘　　要：针对声致空化现象中双气泡相互作用力展开了研究。本文基于气泡动力学的基本理论,将气泡统一方程应用到声场中双气泡的耦合作用研究中,建立了可用于计算声场中多气泡耦合的理论模型,并以此研究了不同类型的声场中双气泡次Bjerknes力的变化趋势。研究结果表明:在声压幅值较小的行进波声场中,对于非线性脉动的双气泡,其相互作用现象不仅与声场参数相关,还会受到双气泡初始体积比的影响。若固定其中一个气泡的初始体积,同时改变另一个气泡的初始体积,则双气泡间第1周期内的次Bjerknes力会在初始体积相等时达到第1个极值,随后呈现周期性的起伏,并在总体上呈增大趋势;而双气泡相互作用在声压幅值较大的行进波声场中会随初始半径比的增大持续增强,且周期性的起伏现象并不明显。在驻波声场中靠近波节的位置也能观测到这一现象。此外,本文还探究了非线性振动的双气泡在具有相同频率、不同声压幅值的组合波声场中的耦合效应。本文的研究可为声场中双气泡相互耦合作用以及气泡群动力学相关应用提供理论基础。In this paper,the coupling effect and interaction force between double bubbles in acoustic-induced cavita-tion are studied.Based on the basic theory of bubble dynamics,the unified equation for bubble dynamics was applied to study the coupling of double bubbles in a sound field.A theoretical model was established to calculate the pulsa-tion and coupling of multiple bubbles in the sound field,and the changing trend exhibited by the secondary Bjerknes force existing between double bubbles in different sound field types was studied.The results show that in a traveling wave sound field with a small sound pressure amplitude,the interaction of the two bubbles with nonlinear pulsation is related to the parameters of the sound field and is affected by the initial volume ratio of the two bubbles.If the initial volume of one bubble is fixed and that of the other bubble is changed simultaneously,then the secondary Bjerknes force between the two bubbles in the first cycle will reach the first extreme value when their initial volumes are equal;furthermore,it will subsequently show a periodic fluctuation,increasing on the whole.However,in the traveling wave sound field with a large sound pressure amplitude,the interaction between bubbles continues to increase with the initial radius ratio,and the periodic fluctuation phenomenon is not obvious.Moreover,this phenomenon can be observed near the node in a standing wave sound field.In addition,the coupling effect of double bubbles with nonlin-ear vibration in a combined wave sound field with the same frequency and different pressure amplitudes is investiga-ted.This paper aims to provide a theoretical basis for the coupling of double bubbles in the sound field and the relat-ed application of bubble group dynamics.

关 键 词：声致空化 双气泡耦合 气泡统一方程 次Bjerknes力 气泡初始体积比 行进波 驻波声场 反射波耗散 

分 类 号：O426.4[理学—声学]