Abstract
Analytic solutions for a reduced set of magnetohydrodynamic equilibrium equations for high-beta tokamaks with toroidal and poloidal flow velocities comparable to the poloidal sound velocity as well as with pressure anisotropy associated with parallel heat flux are presented. The equations for the parallel heat flux are closed with a fluid closure model. Equilibrium profiles including anisotropic ion and electron pressures are self-consistently obtained and their properties are analytically examined. The solution indicates a qualitatively different behavior in the region around the poloidal sound velocity from those for adiabatic pressure [A. Ito and N. Nakajima: Plasma Phys. Control. Fusion 51 (2009) 035007] and the Chew–Goldberger–Low (CGL) double adiabatic pressure for ions since the parallel heat flux modifies the characteristics of sound waves.
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