中国物理B ›› 2022, Vol. 31 ›› Issue (4): 44303-044303.doi: 10.1088/1674-1056/ac1e18

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Effect of nonlinear translations on the pulsation of cavitation bubbles

Lingling Zhang(张玲玲), Weizhong Chen(陈伟中)†, Yang Shen(沈阳), Yaorong Wu(武耀蓉), Guoying Zhao(赵帼英), and Shaoyang Kou(寇少杨)   

  1. Key Laboratory of Modern Acoustics(Ministry of Education), Institute of Acoustics, Nanjing University, Nanjing 210093, China
  • 收稿日期:2021-06-21 修回日期:2021-08-05 接受日期:2021-08-17 出版日期:2022-03-16 发布日期:2022-03-10
  • 通讯作者: Weizhong Chen E-mail:wzchen@nju.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 12074185).

Effect of nonlinear translations on the pulsation of cavitation bubbles

Lingling Zhang(张玲玲), Weizhong Chen(陈伟中)†, Yang Shen(沈阳), Yaorong Wu(武耀蓉), Guoying Zhao(赵帼英), and Shaoyang Kou(寇少杨)   

  1. Key Laboratory of Modern Acoustics(Ministry of Education), Institute of Acoustics, Nanjing University, Nanjing 210093, China
  • Received:2021-06-21 Revised:2021-08-05 Accepted:2021-08-17 Online:2022-03-16 Published:2022-03-10
  • Contact: Weizhong Chen E-mail:wzchen@nju.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 12074185).

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摘要： The pulsations and translations of cavitation bubbles obey combined ordinary differential equations, and their nonlinearities are studied by the bifurcation diagram and the phase diagram in a strong ultrasonic field. Bubble pulsation can change regularly or irregularly with changing driving pressure in the time domain. The bifurcation diagrams of the pulsation versus driving pressure show that the pulsations and translations of bubbles have nonlinear characteristics, and the nonlinear translations of bubbles can disorder the pulsations for certain parameters. Disorder of the pulsation can also be caused by nonlinear pulsation itself. In addition, the phase diagrams also show that the nonlinear translations make a large contribution to the pulsations. The same result can also be obtained when the ambient radii of two bubbles are different.

关键词: bubble pulsation, bubble translation, nonlinear characteristics

Abstract: The pulsations and translations of cavitation bubbles obey combined ordinary differential equations, and their nonlinearities are studied by the bifurcation diagram and the phase diagram in a strong ultrasonic field. Bubble pulsation can change regularly or irregularly with changing driving pressure in the time domain. The bifurcation diagrams of the pulsation versus driving pressure show that the pulsations and translations of bubbles have nonlinear characteristics, and the nonlinear translations of bubbles can disorder the pulsations for certain parameters. Disorder of the pulsation can also be caused by nonlinear pulsation itself. In addition, the phase diagrams also show that the nonlinear translations make a large contribution to the pulsations. The same result can also be obtained when the ambient radii of two bubbles are different.

Key words: bubble pulsation, bubble translation, nonlinear characteristics

中图分类号:  (Ultrasonics, quantum acoustics, and physical effects of sound)

  • 43.35.+d
43.25.+y (Nonlinear acoustics) 47.55.dp (Cavitation and boiling)