Analytic Anisotropic Toroidally Axi-Symmetric Equilibria with Parallel Flow for Arbitrary Aspect Ratio and Large Triangularity

Abstract

Solov'ev type analytic equilibria of toroidally axi-symmetric plasmas are extended to include the anisotropic pressure and parallel flow effect. It is shown that the combined effects of the parallel flow and the anisotropic pressure can be added to give a modified Grad-Shafranov equation. Effects of the anisotropic pressure and the parallel flow on the equilibrium's properties such as the safety factor and the magnetic well are clarified. The most prominent characteristic of these two effects is the deviations of both the p//-contours and the p⊥-contours from the magnetic flux contours.