IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v152y2021ics0960077921006767.html
   My bibliography  Save this article

The nonlinear characteristics of the pulsations, translations and the secondary Bjerknes force

Author

Listed:
  • Zhang, Lingling
  • Chen, Weizhong
  • Shen, Yang
  • Wu, Yaorong
  • Zhao, Guoying

Abstract

The nonlinear characteristics of the pulsations and translations have been studied for movable cavitation bubbles. The translations of the centers of bubbles also possess nonlinearity as their radial pulsations, and can cause the chaos of the pulsations sometimes. Furthermore, the nonlinear characteristics of the secondary Bjerknes force for a movable pulsating bubble are also calculated by the time evolution and the bifurcation diagram in strong ultrasonic field. A series of snapshots of the density diagrams in parametric space indicate that the secondary Bjerknes force not only is sensitive to the parameters, but also develops nonlinearly. The bifurcation diagrams show that the translations of bubbles can increase the chaos degree of the secondary Bjerknes force. In addition, the bifurcation diagrams are also plotted with respect to variables such as liquid viscosity, driving frequency and ambient radius. The results illustrate that the translations of bubbles make a great contribution to the nonlinear characteristics of the secondary Bjerknes force.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006767
    DOI: 10.1016/j.chaos.2021.111322
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921006767
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111322?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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.
    3. Varga, Roxána & Klapcsik, Kálmán & Hegedűs, Ferenc, 2020. "Route to shrimps: Dissipation driven formation of shrimp-shaped domains," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    4. da Costa, Diogo Ricardo & Rocha, Julia G.S. & de Paiva, Luam S. & Medrano-T, Rene O., 2021. "Logistic-like and Gauss coupled maps: The born of period-adding cascades," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006767. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.