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Nonlinear transitions of a spherical cavitation bubble

Author

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  • Behnia, Sohrab
  • Jafari, Amin
  • Soltanpoor, Wiria
  • Jahanbakhsh, Okhtay

Abstract

Dynamics of acoustically driven bubbles are known to be complex and uncontrollable. Depending on the applied pressure, frequency and the properties of the bubble and the host media, the radial oscillations of the bubble has been reported to be stable and chaotic. In this paper, the dynamics of a single acoustically driven bubble is widely studied applying the methods of chaos physics. The stability of the bubble is analyzed through plotting the bifurcation diagrams and Lyapunov exponent spectra versus pressure, frequency, initial bubble radius, surface tension and viscosity as the control parameters. Results show the rich nonlinear dynamics of the bubble including period doubling, inverse period doubling, saddle node bifurcations, quasi-periodicity and chaos. Also similarities were detected in the bubble response to variations between some of the control parameters.

Suggested Citation

  • Behnia, Sohrab & Jafari, Amin & Soltanpoor, Wiria & Jahanbakhsh, Okhtay, 2009. "Nonlinear transitions of a spherical cavitation bubble," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 818-828.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:818-828
    DOI: 10.1016/j.chaos.2008.04.011
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    References listed on IDEAS

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    1. Chang-Jian, Cai-Wan & Chen, Chao-Kuang, 2007. "Bifurcation and chaos analysis of a flexible rotor supported by turbulent long journal bearings," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1160-1179.
    2. Aghajani, A. & Farjami, Y. & Hesaaraki, M., 2009. "On the existence of fast strong and fast weak ionizing detonation waves in magnetohydrodynamics," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 298-308.
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    Cited by:

    1. Klapcsik, Kálmán & Hegedűs, Ferenc, 2017. "The effect of high viscosity on the evolution of the bifurcation set of a periodically excited gas bubble," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 198-208.
    2. Zhang, Lingling & Chen, Weizhong & Shen, Yang & Wu, Yaorong & Zhao, Guoying, 2021. "The nonlinear characteristics of the pulsations, translations and the secondary Bjerknes force," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Varga, Roxána & Paál, György, 2015. "Numerical investigation of the strength of collapse of a harmonically excited bubble," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 56-71.
    4. Garashchuk, Ivan & Kazakov, Alexey & Sinelshchikov, Dmitry, 2024. "Scenarios for the appearance of strange attractors in a model of three interacting microbubble contrast agents," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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