Interactions between vortex and magnetic rings at high kinetic and magnetic Reynolds numbers

Abstract

Interactions between magnetic and vortex rings are studied over a wide interval of interaction parameter values ranging from negligible magnetic effects on vorticity structure, to very strong effects. The employed interaction parameter measures the strength of the Lorentz force in units of the inertial force. At small interaction parameters, the vortex ring shapes part of the magnetic ring into a dissipative, curved, magnetic sheet structure. At high interaction parameters, the Lorentz force acts as an agent of proliferation of vortex rings, since it generates two vortex rings adjacent to the original magnetic structure, one of which is pulled (together with the advected magnetic field) into the wake of the original vortex ring, while the other escapes, ready to interact with another magnetic ring. Once within the initial vortex ring wake, both magnetic and vorticity structures are stretched into spirals, whilst the Lorentz force continuously generates new, intense vorticity at high magnetic field sites.

Helicity spectra and topological dynamics of vortex links at high Reynolds numbers

“…It would be interesting, for example, to investigate the topological and helicity dynamics of magnetohydrodynamic vortex links. Such studies would significantly expand previous vortex-dynamical magnetohydrodynamic investigations (Kivotides 2018a(Kivotides , 2019. Another important problem is the topological and helicity dynamics of vortex knots, and possible connections between topology and energy and helicity spectra there, in conjunction with advanced topological measures including knot polynomials (Liu & Ricca 2015;Cooper et al 2019) and Vassiliev invariants.…”

Gravitomagnetic effects on turbulence physics

“…Due to the vortical character of turbulence, performing scaling analysis in the context of vorticity dynamics is the natural choice [7,21]. In particular, we define the gravitational interaction parameter N g , that measures gravitomagnetic effects in units of fluid inertia,…”

Gravitomagnetic relativistic effects on turbulence

“…In electrodynamics, an efficient way to tackle far-out of equilibrium processes is to focus on the macroscopic scales, and, by taking the magnetic and small-velocity limits of the theory, to formulate the magnetohydrodynamic (MHD) equations of motion. Strongly nonequilibrium states in these equations, known as MHD turbulence, are well understood, with many, fully-resolved numerical calculations having become available [1,2]. At small enough temperatures for the formation of quantum mechanical, atomic bound states [3][4][5], we obtain low-energy electrodynamics [6], and MHD reduces to standard hydrodynamics and turbulence [7].…”