Linear Eckman friction in the mechanism of the cyclon-anticyclon vortex asymmetry and in a new theory of rotating superfluid

TL;DR

This paper introduces a new linear instability mechanism involving Eckman friction that explains the formation of cyclon-anticyclon vortex asymmetry and presents a novel solution related to rotating superfluid helium-II.

Contribution

It proposes a universal linear instability mechanism for vortex asymmetry caused by Eckman friction in rotating fluids, applicable to superfluid helium-II.

Findings

Identified a linear instability mechanism for vortex asymmetry.

Derived a new non-stationary solution for disc oscillations in rotating fluids.

Linked the theory to experimental observations in superfluid helium-II.

Abstract

Until now it was not a success to identify a universal triggering mechanism for the formation of the observed cyclon-anticyclon vortex asymmetry phenomenon or the corresponding breaking of chiral vortex symmetry in the rotating medium. In this paper the new linear universal instability mechanism of breaking chiral vortex symmetry due to the super threshold medium rotation frequence in the presence of linear Eckman friction is established. A new non stationary solution to the problem of the disc oscillations in fluid in the connection with experiments on the rotating superfluid helium-II has been found.