High-β equilibria in tokamaks with toroidal flow

Michael Fitzgerald; Sergei Sharapov; Matthew Hole

doi:10.1063/1.3641966

High-β equilibria in tokamaks with toroidal flow

Michael Fitzgerald^*, Sergei Sharapov, Matthew Hole

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We extend existing 2-D analytical high- equilibrium solutions obtained by Cowley Phys. Fluids B 3, 2066 (1991) and Hsu Phys. Plasmas 3, 266 (1996) to the case of toroidally flowing plasma, assuming ideal magnetohydrodynamics and isothermal magnetic surfaces. Invoking the ordering βq² ≫ ε² and M_φ² q² ≫ ε, we solve the boundary layer problem, re-obtaining the static solution in the zero flow limit. The phenomenon of extreme plasma diamagnetism in the static solution was found to be reduced due to centrifugal drift currents for significant toroidal flow. Example equilibrium calculations are presented using plasma parameters which are approaching attainable values in next generation spherical tokamaks.

Original language	English
Article number	092508
Journal	Physics of Plasmas
Volume	18
Issue number	9
DOIs	https://doi.org/10.1063/1.3641966
Publication status	Published - Sept 2011

Access to Document

10.1063/1.3641966

Cite this

@article{cf911b6e7fc842308bc30a1caadb0a50,

title = "High-β equilibria in tokamaks with toroidal flow",

abstract = "We extend existing 2-D analytical high- equilibrium solutions obtained by Cowley Phys. Fluids B 3, 2066 (1991) and Hsu Phys. Plasmas 3, 266 (1996) to the case of toroidally flowing plasma, assuming ideal magnetohydrodynamics and isothermal magnetic surfaces. Invoking the ordering βq2 ≫ ε2 and Mφ2 q2 ≫ ε, we solve the boundary layer problem, re-obtaining the static solution in the zero flow limit. The phenomenon of extreme plasma diamagnetism in the static solution was found to be reduced due to centrifugal drift currents for significant toroidal flow. Example equilibrium calculations are presented using plasma parameters which are approaching attainable values in next generation spherical tokamaks.",

author = "Michael Fitzgerald and Sergei Sharapov and Matthew Hole",

year = "2011",

month = sep,

doi = "10.1063/1.3641966",

language = "English",

volume = "18",

journal = "Physics of Plasmas",

issn = "1070-664X",

publisher = "American Institute of Physics",

number = "9",

}

TY - JOUR

T1 - High-β equilibria in tokamaks with toroidal flow

AU - Fitzgerald, Michael

AU - Sharapov, Sergei

AU - Hole, Matthew

PY - 2011/9

Y1 - 2011/9

N2 - We extend existing 2-D analytical high- equilibrium solutions obtained by Cowley Phys. Fluids B 3, 2066 (1991) and Hsu Phys. Plasmas 3, 266 (1996) to the case of toroidally flowing plasma, assuming ideal magnetohydrodynamics and isothermal magnetic surfaces. Invoking the ordering βq2 ≫ ε2 and Mφ2 q2 ≫ ε, we solve the boundary layer problem, re-obtaining the static solution in the zero flow limit. The phenomenon of extreme plasma diamagnetism in the static solution was found to be reduced due to centrifugal drift currents for significant toroidal flow. Example equilibrium calculations are presented using plasma parameters which are approaching attainable values in next generation spherical tokamaks.

AB - We extend existing 2-D analytical high- equilibrium solutions obtained by Cowley Phys. Fluids B 3, 2066 (1991) and Hsu Phys. Plasmas 3, 266 (1996) to the case of toroidally flowing plasma, assuming ideal magnetohydrodynamics and isothermal magnetic surfaces. Invoking the ordering βq2 ≫ ε2 and Mφ2 q2 ≫ ε, we solve the boundary layer problem, re-obtaining the static solution in the zero flow limit. The phenomenon of extreme plasma diamagnetism in the static solution was found to be reduced due to centrifugal drift currents for significant toroidal flow. Example equilibrium calculations are presented using plasma parameters which are approaching attainable values in next generation spherical tokamaks.

UR - http://www.scopus.com/inward/record.url?scp=80053475510&partnerID=8YFLogxK

U2 - 10.1063/1.3641966

DO - 10.1063/1.3641966

M3 - Article

SN - 1070-664X

VL - 18

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 9

M1 - 092508

ER -

High-β equilibria in tokamaks with toroidal flow

Abstract

Access to Document

Other files and links

Fingerprint

Cite this