Page 59 - 《应用声学》2022年第5期

第 41 卷 第 5 期 Vol. 41, No. 5
2022 年 9 月 Journal of Applied Acoustics September, 2022

⋄ 研究报告 ⋄

方波驱动下双气泡的动力学行为 ∗

王 寻 1† 黎 奥 2 周 敏 3 梁金福 4 张泽坤 1 吴 伟 1

(1 上海电机学院凯撒斯劳滕智能制造学院 上海 201306)
(2 中国科学院声学研究所语言声学与内容理解重点实验室 北京 100190)
(3 西安工程大学理学院 西安 710048)
(4 贵州师范大学物理与电子科学学院 贵阳 550025)
摘要：探索方波驱动下双气泡的脉动规律，能够促进方波在声空化工程中的实际应用。该文通过数值求解双
气泡耦合方程组，研究了方波驱动下双气泡的动力学行为，得到了多种条件下不同时刻两个气泡半径的数值，
并以此计算出气泡间的次 Bjerknes 力。研究表明，方波驱动下的两气泡收缩时能够达到的最高温度和压强显
著高于正弦波驱动下的情况。在方波驱动下，增大驱动频率会使得两个气泡膨胀时能达到的最大半径和次
Bjerknes 力减小。当两个气泡的平衡半径不同时，其中一个气泡的剧烈收缩会使得另一个气泡产生一个振动
方向相反的声脉冲。随着两个气泡平衡半径差距的增加，气泡收缩的时间间隔增大。此外，当驱动声压幅值逐
渐增大时, 气泡脉动规律也会发生很大的变化。
关键词：气泡动力学；超声驱动；方波；声辐射
中图法分类号: O424 文献标识码: A 文章编号: 1000-310X(2022)05-0735-08
DOI: 10.11684/j.issn.1000-310X.2022.05.007
Dynamics of double-bubble system driven by square waves

WANG Xun 1 LI Ao 2 ZHOU Min 3 LIANG Jinfu 4 ZHANG Zekun 1 WU Wei 1

(1 Kaiserslautern Intelligent Manufacturing School, Shanghai Dianji University, Shanghai 201306, China)
(2 Key Laboratory of Speech Acoustics and Content Understanding, Institute of Acoustics, Chinese Academy of Sciences,
Beijing 100190, China)
(3 School of Science, Xi’an Polytechnic University, Xi’an 710048, China)
(4 School of Physics and Electronic Science, Guizhou Normal University, Guiyang 550025, China)
Abstract: Exploring the dynamics of double-bubble system driven by square wave is helpful for the application
of square wave in acoustic cavitation engineering. This paper numerically simulated the coupled equations of
double bubbles, theoretically studied the pulsation rules of double bubbles driven by the square wave. Radii
of bubbles under different conditions have been acquired, and the secondary Bjerknes force between bubbles
has been calculated. Research shows that under square-wave driving, the maximum temperature and pressure
generated when the bubbles collapse are obviously higher than that under sine-wave driving, and increasing
the frequency leads to the decreasing of maximum values of bubble radii and secondary Bjerknes force. If the
two bubbles have different equilibrium radii, the collapsing of one bubble will make the other one generate
a negative pulse. If the difference between the equilibrium radii of two bubbles becomes large, the interval
between the collapsing moments of two bubbles increases. Besides, the amplitude of driving acoustic wave has
obvious effect on the dynamics of bubbles.
Keywords: Bubble dynamics; Ultrasound driving; Square wave; Radiation pressure

2021-08-07 收稿; 2021-11-29 定稿
∗ 国家自然科学基金项目 (11564006, 11864007), 陕西省自然科学基础研究计划项目 (2021JQ-655), 上海市大学生创新创业训练计划项
目 (S202111458096), 上海电机学院引进人才科研启动项目 (B1-0288-21-007-01-030)
作者简介: 王寻 (1989– ), 男, 上海人, 博士后, 讲师, 研究方向: 超声空化。
† 通信作者 E-mail: wangxun@sdju.edu.cn