High-β equilibria in tokamaks with toroidal flow
Date
2011-09-29
Authors
Fitzgerald, Michael
Sharapov, Sergei
Hole, Matthew
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Physics (AIP)
Abstract
We extend existing 2-D analytical high-β equilibrium solutions obtained by Cowley et al. [Phys. Fluids B 3, 2066 (1991)] and Hsu et al. [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 M²φq²>>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 toroidalflow. Example equilibrium calculations are presented using plasma parameters which are approaching attainable values in next generation spherical tokamaks.
Description
Keywords
Keywords: Boundary layer problems; Drift currents; Equilibrium calculation; Equilibrium solutions; Flowing plasmas; Ideal magnetohydrodynamics; Magnetic surfaces; Plasma diamagnetism; Plasma parameter; Spherical Tokamak; Static solutions; Toroidal flow; Zero flow;
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Source
Physics of Plasmas
Type
Journal article