Abstract

A mathematical model describing the dynamics of nonlinear oscillations of gas bubbles in a cluster under the influence of an acoustic field is proposed. On the basis of this model, small bubble oscillations in a cluster were analyzed, the bubble oscillations in a monodisperse cluster were compared with the oscillations of a single bubble, the effects of the interaction of bubbles in a polydisperse cluster were studied, and the diffusion stability of bubbles in mono- and polydisperse clusters was investigated.