The condition of the resonant break-up of a gas bubble subjected to an acoustic wave in liquid

9th International Symposium on Cavitation

Vanovskiy, V.V.^1,2 ; Petrov, A.G.^1,2

Theoretical Mechanics Department, Moscow Institute of Physics and Technology, 9 Institutskiy Per., Dolgoprudny

141700, Russia^1

Mechanics of Systems Laboratory, Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Pr. Vernadskogo, Moscow

119526, Russia^2

关键词: Acoustic dissipation;    Averaging technique;    Axially symmetric;    Bubble break-up;    Gas bubble;    Nonlinear energy transfer;    Radial mode;    Technical applications;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/656/1/012041/pdf
DOI  :  10.1088/1742-6596/656/1/012041

来源: IOP

【 摘 要 】

The problem of a gas bubble break-up in liquid is considered in the conditions of the frequencies resonance of the radial and nthaxially symmetric deformational mode 2:1. The nonlinear energy transfer between the modes is described using an efficient Krylov-Bogolyubov averaging technique. It is shown that the deformational mode magnitude can be some orders larger than the radial mode magnitude which is damped by the thermal, viscous and acoustic dissipation. The estimative criterion of bubble break-up is obtained in the cases of slow and fast acoustic wave start. The obtained pressure magnitudes in the wave for break-up are very small and the mechanism can have strong medical and technical applications.