Phenomena in Bubbles Cluster

Abstract

Abstract In this paper, we continue to demonstrate the analogy between the acoustic world and the electromagnetic world. In the paper, we derive the expressions for: the electro-acoustic force between the bubbles in the cluster and an outer bubble, the gravito-acoustic forces between the bubbles in the cluster and between the cluster and an outer bubble, the temperature corresponding to the translational motion of the bubbles in the cluster (acoustic temperature) and the average acoustic radiation pressure. The most important result is the demonstration of the fact that the modulus of the average pressure of the acoustic radiation around a bubble is equal to the energy density of the electro-acoustic field, Eq. (10). These densities are the oscillation energy densities of the liquid around the bubble that are involved in the interaction phenomenon between two oscillating/pulsating bubbles. We have also demonstrated that the gravito - acoustic forces, at resonance, between the bubbles in the cluster, generated by the absorption of energy in the bubbles, are proportional to the square of the virtual masses of the bubbles, Eqs. (29) and (30).