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

Lingling Zhang, Weizhong Chen, Yang Shen, Yaorong Wu and Guoying Zhao

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

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.

Keywords: The secondary Bjerknes force; Pulsations; Translations; Nonlinear characteristics (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921006767
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006767

DOI: 10.1016/j.chaos.2021.111322

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().