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Title: Tornado model for a magnetised plasma

Abstract

A novel analytical model of axially-symmetric magnetic vortices with both a twisted fluid flow and a magnetic field is introduced. 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.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4];  [5];  [2]
  1. Inst. of Physics of the Earth, Moscow (Russia); Space Research Inst., Moscow (Russia)
  2. Univ. of Sheffield (United Kingdom)
  3. Univ. of Saskatchewan, Saskatoon, SK (Canada)
  4. Univ. of Texas, Austin, TX (United States)
  5. Inst. of Physics of the Earth, Moscow (Russia)
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
OSTI Identifier:
1547339
Grant/Contract Number:  
FG02-04ER54742
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 5; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English

Citation Formats

Onishchenko, O. G., Fedun, V., Smolyakov, Andrei, Horton, Wendell, Pokhotelov, O. A., and Verth, G. Tornado model for a magnetised plasma. United States: N. p., 2018. Web. doi:10.1063/1.5023167.
Onishchenko, O. G., Fedun, V., Smolyakov, Andrei, Horton, Wendell, Pokhotelov, O. A., & Verth, G. Tornado model for a magnetised plasma. United States. doi:10.1063/1.5023167.
Onishchenko, O. G., Fedun, V., Smolyakov, Andrei, Horton, Wendell, Pokhotelov, O. A., and Verth, G. Tue . "Tornado model for a magnetised plasma". United States. doi:10.1063/1.5023167. https://www.osti.gov/servlets/purl/1547339.
@article{osti_1547339,
title = {Tornado model for a magnetised plasma},
author = {Onishchenko, O. G. and Fedun, V. and Smolyakov, Andrei and Horton, Wendell and Pokhotelov, O. A. and Verth, G.},
abstractNote = {A novel analytical model of axially-symmetric magnetic vortices with both a twisted fluid flow and a magnetic field is introduced. 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.},
doi = {10.1063/1.5023167},
journal = {Physics of Plasmas},
number = 5,
volume = 25,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
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