Compatibility of Maxwell's fluid equations with interactions between oscillating bubbles

TL;DR

This paper models the interaction of two oscillating bubbles using Maxwell's equations for liquids, deriving expressions for acoustic charge and intensity, and proposing a new approach for vortex interactions and bubble entrapment.

Contribution

It introduces a novel application of Maxwell's equations to describe bubble interactions and derives related acoustic quantities, advancing the theoretical understanding of bubble dynamics.

Findings

Derived the shape of bubble interactions.

Expressed the secondary Bjerknes force using Maxwell equations.

Proposed a model for acoustic charged particles with internal angular momentum.

Abstract

The outcome of this paper was a shape of the interaction of two oscillating bubbles. This was done to express the secondary Bjerknes force using the Maxwell equations for a liquid. These subsequent equations were written for the quantities velocity, pressure, and density as deviations from steady state. Also, as it will show in the following rows, we found the expressions of the acoustic charge and of the acoustic intensity. Our results may facilitate the adoption of an approach for the interaction of two vortices and for the entrapment of a bubble by a vortex. This approach leads to a model for an acoustic charged particle which has internal angular momentum.