Tornado model for a magnetised plasma
Author(s) -
O. G. Onishchenko,
V. Fedun,
A. I. Smolyakov,
W. Horton,
O. A. Pokhotelov,
G. Verth
Publication year - 2018
Publication title -
physics of plasmas
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.75
H-Index - 160
eISSN - 1089-7674
pISSN - 1070-664X
DOI - 10.1063/1.5023167
Subject(s) - physics , vortex , magnetohydrodynamic drive , magnetohydrodynamics , magnetic field , mechanics , classical mechanics , vorticity , plasma , advection , axial symmetry , quantum mechanics , thermodynamics
A new analytical model of axially-symmetric magnetic vortices with both a twisted fluid flow and a magnetic field is proposed. The exact solution for the three-dimensional structure of the fluid velocity and the magnetic field is obtained within the framework of the ideal magnetohydrodynamic equations for an incompressible fluid in a gravitational field. A quasi-stationary localised vortex arises when the radial flow that tends to concentrate vorticity in a narrow column around the axis of symmetry is balanced by the vertical vortex advection in the axial direction. The explicit expressions for the velocity and magnetic field components are obtained. The proposed analytic model may be used to parameterise the observed solar tornadoes and can provide a new indirect way for estimating magnetic twist from the observed azimuthal velocity profiles.
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