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

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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.

Original languageEnglish
Pages (from-to)1601-1606
Number of pages6
JournalPhysics Letters A
Issue number14
Early online date12 Feb 2019
Publication statusPublished - 9 May 2019


  • fluid-magnetic field interactions
  • magnetic tubes
  • vortices


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