Tornado model for a magnetised plasma

Onishchenko, O. G.; Fedun, V.; Smolyakov, Andrei; Horton, Wendell; Pokhotelov, O. A.; Verth, G.

doi:10.1063/1.5023167

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:

Onishchenko, O. G. ^[1];

^[2];

^[3];

^[4]; Pokhotelov, O. A. ^[5]; Verth, G. ^[2]

Inst. of Physics of the Earth, Moscow (Russia); Space Research Inst., Moscow (Russia)
Univ. of Sheffield (United Kingdom)
Univ. of Saskatchewan, Saskatoon, SK (Canada)
Univ. of Texas, Austin, TX (United States)
Inst. of Physics of the Earth, Moscow (Russia)

Publication Date:: 2018-05-08

Research Org.:: Univ. of Texas, Austin, TX (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

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

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

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.

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                    Onishchenko, O. G., Fedun, V., Smolyakov, Andrei, Horton, Wendell, Pokhotelov, O. A., & Verth, G. Tornado model for a magnetised plasma.  United States.  https://doi.org/10.1063/1.5023167

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                    Onishchenko, O. G., Fedun, V., Smolyakov, Andrei, Horton, Wendell, Pokhotelov, O. A., and Verth, G. Tue .  
"Tornado model for a magnetised plasma".  United States.  https://doi.org/10.1063/1.5023167.  https://www.osti.gov/servlets/purl/1547339.

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@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}

}

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Works referenced in this record:

On the Stability of the Simplest Solution of the Equations of Hydromagnetics
journal, May 1956

Chandrasekhar, S.
Proceedings of the National Academy of Sciences, Vol. 42, Issue 5
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Solar Magnetized Tornadoes: Rotational Motion in a Tornado-Like Prominence
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Su, Yang; Gömöry, Peter; Veronig, Astrid
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The degree of knottedness of tangled vortex lines
journal, January 1969

Moffatt, H. K.
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Acoustic gravity tornadoes in the atmosphere
journal, November 2012

Shukla, P. K.; Stenflo, L.
Physica Scripta, Vol. 86, Issue 6
DOI: 10.1088/0031-8949/86/06/065403

Magnetic tornadoes as energy channels into the solar corona
journal, June 2012

Wedemeyer-Böhm, Sven; Scullion, Eamon; Steiner, Oskar
Nature, Vol. 486, Issue 7404
DOI: 10.1038/nature11202

On the jets, kinks, and spheromaks formed by a planar magnetized coaxial gun
journal, March 2005

Hsu, S. C.; Bellan, P. M.
Physics of Plasmas, Vol. 12, Issue 3
DOI: 10.1063/1.1850921

MHD model of astrophysical jets
journal, November 2000

Bogoyavlenskij, Oleg I.
Physics Letters A, Vol. 276, Issue 5-6
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Two Solar Tornadoes Observed with the Interface Region Imaging Spectrograph
journal, January 2018

Yang, Zihao; Tian, Hui; Peter, Hardi
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Frequency Filtering of Torsional AlfvÉN Waves by Chromospheric Magnetic Field
journal, September 2011

Fedun, V.; Verth, G.; Jess, D. B.
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Exact solutions for axisymmetric ideal magnetized plasma steady state with incompressible poloidal flow
journal, June 2004

Khater, A. H.; Moawad, S. M.
Physics of Plasmas, Vol. 11, Issue 6
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Vortex flow generated by a magnetic stirrer
journal, December 2007

Halász, Gábor; Gyüre, Balázs; Jánosi, Imre M.
American Journal of Physics, Vol. 75, Issue 12
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Three-dimensional nonlinear ideal MHD equilibria with field-aligned incompressible and compressible flows
journal, August 2016

Moawad, S. M.; Ibrahim, D. A.
Physics of Plasmas, Vol. 23, Issue 8
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A new magneto-hydrostatic theory of sunspots
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Axisymmetric ideal magnetohydrodynamic equilibria with incompressible flows
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Solar Magnetized Tornadoes: Rotational Motion in a Tornado-like Prominence
text, January 2013

Su, Yang; Gömöry, Peter; Veronig, Astrid
arXiv
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On the jets, kinks, and spheromaks formed by a planar magnetized coaxial gun
text, January 2004

Hsu, S. C.; Bellan, P. M.
arXiv
DOI: 10.48550/arxiv.physics/0411089

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Similar Records

Title: Tornado model for a magnetised plasma

Abstract

Citation Formats

On the Stability of the Simplest Solution of the Equations of Hydromagnetics journal, May 1956

Modeling Extragalactic jets journal, September 1998

“Explosively growing” vortices of unstably stratified atmosphere: “EXPLOSIVELY GROWING” VORTICES journal, October 2016

Solar Magnetized Tornadoes: Rotational Motion in a Tornado-Like Prominence journal, March 2014

The degree of knottedness of tangled vortex lines journal, January 1969

Acoustic gravity tornadoes in the atmosphere journal, November 2012

Magnetic tornadoes as energy channels into the solar corona journal, June 2012

On the jets, kinks, and spheromaks formed by a planar magnetized coaxial gun journal, March 2005

MHD model of astrophysical jets journal, November 2000

Two Solar Tornadoes Observed with the Interface Region Imaging Spectrograph journal, January 2018

Theory of axisymmetric magnetohydrodynamic flows - Disks journal, September 1986

Frequency Filtering of Torsional AlfvÉN Waves by Chromospheric Magnetic Field journal, September 2011

Exact solutions for axisymmetric ideal magnetized plasma steady state with incompressible poloidal flow journal, June 2004

Vortex flow generated by a magnetic stirrer journal, December 2007

Three-dimensional nonlinear ideal MHD equilibria with field-aligned incompressible and compressible flows journal, August 2016

A new magneto-hydrostatic theory of sunspots journal, April 1982

Axisymmetric ideal magnetohydrodynamic equilibria with incompressible flows journal, June 1998

Solar Magnetized Tornadoes: Rotational Motion in a Tornado-like Prominence text, January 2013

On the jets, kinks, and spheromaks formed by a planar magnetized coaxial gun text, January 2004

On the Stability of the Simplest Solution of the Equations of Hydromagnetics
journal, May 1956

Modeling Extragalactic jets
journal, September 1998

“Explosively growing” vortices of unstably stratified atmosphere: “EXPLOSIVELY GROWING” VORTICES
journal, October 2016

Solar Magnetized Tornadoes: Rotational Motion in a Tornado-Like Prominence
journal, March 2014

The degree of knottedness of tangled vortex lines
journal, January 1969

Acoustic gravity tornadoes in the atmosphere
journal, November 2012

Magnetic tornadoes as energy channels into the solar corona
journal, June 2012

On the jets, kinks, and spheromaks formed by a planar magnetized coaxial gun
journal, March 2005

MHD model of astrophysical jets
journal, November 2000

Two Solar Tornadoes Observed with the Interface Region Imaging Spectrograph
journal, January 2018

Theory of axisymmetric magnetohydrodynamic flows - Disks
journal, September 1986

Frequency Filtering of Torsional AlfvÉN Waves by Chromospheric Magnetic Field
journal, September 2011

Exact solutions for axisymmetric ideal magnetized plasma steady state with incompressible poloidal flow
journal, June 2004

Vortex flow generated by a magnetic stirrer
journal, December 2007

Three-dimensional nonlinear ideal MHD equilibria with field-aligned incompressible and compressible flows
journal, August 2016

A new magneto-hydrostatic theory of sunspots
journal, April 1982

Axisymmetric ideal magnetohydrodynamic equilibria with incompressible flows
journal, June 1998

Solar Magnetized Tornadoes: Rotational Motion in a Tornado-like Prominence
text, January 2013

On the jets, kinks, and spheromaks formed by a planar magnetized coaxial gun
text, January 2004