Effects of the Encapsulating Membranes on the Translations of Pairs of Non-spherical Bubbles

9th International Symposium on Cavitation

Liu, Yunqiao^1 ; Sugiyama, Kazuyasu^2 ; Takagi, Shu^3

MOE Key Laboratory of Hydrodynamics, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai

200240, China^1

Department of Mechanical Science and Bioengineering, Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka

560-0043, Japan^2

Department of Mechanical Engineering, School of Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo

113-8656, Japan^3

关键词: At resonance;    Driving frequencies;    Gas bubble;    Non-Spherical;    Theoretical modeling;    Translational directions;    Translational displacements;    Translational motions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/656/1/012026/pdf
DOI  :  10.1088/1742-6596/656/1/012026

来源: IOP

【 摘 要 】

In this paper, we perform a theoretical analysis on the translational motions ofgas and encapsulated bubbles undergoing deformation. We verify our theoretical model for the case of a gas bubble collapsing near a wall. By comparison, the encapsulated bubble near the wall is less unstable in shape. In the second case, the translations of two gas bubbles subjected to an oscillating driving pressure agree with Bjerknes' theory, that is, the two bubbles repel each other when the driving frequency is between the two natural frequencies ω01d02; while the two bubbles move towards each other at ωd01or ωd> ω02. For encapsulated bubbles, the translational displacements are smaller than those of gas bubbles. The encapsulating membrane and the deformation affect the translational direction. The encapsulated bubbles are prone to experience repulsive motion at resonance.