Vortexes as systems specific to the Acoustic World

TL;DR

This paper explores vortex properties within the Acoustic World using hydrodynamic and Maxwell equations, revealing their behavior as acoustic dipoles with angular momentum and their influence on wave propagation.

Contribution

It introduces a hydrodynamic Maxwell framework to analyze vortex systems, deriving force, mass, permittivity, and energy density expressions specific to acoustic vortices.

Findings

Vortices behave like acoustic dipoles with intrinsic angular momentum.

Two vortices exhibit orbital angular momentum and act as a single vortex at large distances.

Vortices influence acoustic wave speed and cause acoustic lensing effects.

Abstract

In this paper we study the properties of vortexes, as systems specific to the Acoustic World, using both hydrodynamic theory and the corresponding hydrodynamic Maxwell equations. According to this study, it follows that the vortex behaves like an acoustic dipole that has intrinsic/internal angular momentum. The system of two identical vortices also has orbital angular momentum and behaves, at distances much greater than the distance between the axes of the vortices, as a single vortex. With the help of Maxwell's hydrodynamic equations for the vortex we deduced the force between two vortices and obtained the expression of the equivalent mass of the vortex and the permittivity of the electroacoustic field. We also obtained and interpreted the expression for the energy density of the acoustic field. The density and pressure variations induced by the vortex cause the change in the propagation speed of the acoustic waves and the acoustic lensing property of the vortex.