Analogue Magnetism: An Ansatz

TL;DR

This paper proposes a theoretical ansatz linking magnetic flux density to fluid vorticity evolution, suggesting a comparison with an effective vorticity that follows a power law relation, aiming to deepen understanding of magneto-fluid dynamics.

Contribution

It introduces a novel ansatz connecting magnetic flux density with vorticity evolution and proposes a new comparison framework involving an effective vorticity with a power law relation.

Findings

Proposes a new ansatz for magnetic flux and vorticity relationship

Suggests comparing magnetic flux evolution to an effective vorticity evolution

Introduces the concept of an effective vorticity with a power law relation

Abstract

We present an ansatz for the relationship between magnetic flux density and fluid vorticity evolution equations. We also suggest that the magnetic flux density evolution equations be compared to the evolution equation for an effective vorticity ($\omega_{eff}$), which bears a power law relation to the ordinary vorticity.