Interaction of two pulsating spherical bubbles in external pressure field near the contact

9th International Symposium on Cavitation

Sanduleanu, S.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: Boundary values;    Dimensionless parameters;    External pressures;    Lagrangian formalism;    Natural oscillation frequency;    Spherical bubbles;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/656/1/012035/pdf
DOI  :  10.1088/1742-6596/656/1/012035

来源: IOP

【 摘 要 】

The problem of coalescence of two pulsating spherical bubbles is studied using Lagrangian formalism in assumptions that the acoustic field is weak, the frequency of the external impact is appreciably less than natural oscillation frequency and influence of viscosity on phase of radii pulsation is small. The obtained necessary condition for coalescence of the bubbles is determined by the dimensionless parameter, whose boundary value is nonlinearly depending on the quotient of the bubbles' radii.