Nonlinear non-spherical oscillations of gas bubble under a periodic variation of ambient liquid pressure

被引：0
作者：
A. A. Aganin
M. A. Ilgamov
L. A. Kosolapova
V. G. Malakhov
机构：
[1] Kazan Scientific Center of RAS,Institute of Mechanics and Engineering
[2] Institute of Mechanics USC,undefined
来源：
Thermophysics and Aeromechanics | 2008年 / 15卷
关键词：
gas bubble; nonlinear oscillations; potential flow;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A mathematical model is constructed for the bubble dynamics, in which the interphase surface variation is presented in the form of a series in spherical harmonics, and the equations are written with the accuracy up to the squared amplitude of the distortion of the spherical shape of the bubble. In the oscillation regimes close to periodic sonoluminescence of a single bubble in a standing acoustic wave, the character of air bubble oscillations in water was studied depending on the bubble initial radius and the amplitude of the liquid pressure variation. It was found that non-spherical oscillations of bounded amplitude can take place outside the region of linearly stable spherical oscillations. Both the oscillations with a period equal to one or several periods of the liquid pressure variation and aperiodic oscillations are observed. It is shown that neglecting the distortions in the form of spherical harmonics with large numbers (i > 3) may lead to a change of oscillation regimes. The influence of distortions on the bubble surface shape for the harmonics with i > 8 is insignificant.
引用
收藏
页码：491 / 502
页数：11
相关论文
共 22 条
[1]  
Putterman S.J.(2000)Sonoluminescence: How bubbles turn sound into light Annu. Rev. Fluid Mech. 32 445-476
[2]  
Weninger K.P.(2000)Sonoluminescence Physics — Uspekhi 170 263-287
[3]  
Margulis M.A.(2005)Plasma formation and temperature measurement during single-bubble cavitation Nature 434 52-55
[4]  
Flannigan D.J.(1954)On the stability of the fluid flow with spherical symmetry J. Appl. Phys. 25 96-98
[5]  
Suslick K.S.(1995)Bubble shape oscillations and the onset of sonoluminescence Phys. Rev. Lett. 75 954-957
[6]  
Plesset M.S.(1998)Bubble shape instability and sonoluminescence Phys. Lett. A 250 131-136
[7]  
Brenner M.P.(1999)The effect of viscosity on the spherical stability of oscillating gas bubbles Phys. Fluids 11 1309-1317
[8]  
Lohse D.(2005)Ellipsoidal oscillations of a gas bubble with periodic variation of the surrounding fluid pressure Fluid Dynamics 40 706-713
[9]  
Dupont T.F.(1996)On liquid compressibility in the gas bubble dynamics Doklady — Physics 348 768-771
[10]  
Wu C.C.(1996)Observation of stability boundaries in the parameter space of single bubble sonoluminescence Phys. Rev. Lett. 77 3791-3794
123