Neoclassical MHD equations for tokamaks

Technical Report · Sat Mar 01 00:00:00 EST 1986

OSTI ID:5969441

Callen, J D; Shaing, K C

The moment equation approach to neoclassical-type processes is used to derive the flows, currents and resistive MHD-like equations for studying equilibria and instabilities in axisymmetric tokamak plasmas operating in the banana-plateau collisionality regime (..nu..* approx. 1). The resultant ''neoclassical MHD'' equations differ from the usual reduced equations of resistive MHD primarily by the addition of the important viscous relaxation effects within a magnetic flux surface. The primary effects of the parallel (poloidal) viscous relaxation are: (1) Rapid (approx. ..nu../sub i/) damping of the poloidal ion flow so the residual flow is only toroidal; (2) addition of the bootstrap current contribution to Ohm's laws; and (3) an enhanced (by B/sup 2//B/sub theta//sup 2/) polarization drift type term and consequent enhancement of the perpendicular dielectric constant due to parallel flow inertia, which causes the equations to depend only on the poloidal magnetic field B/sub theta/. Gyroviscosity (or diamagnetic vfiscosity) effects are included to properly treat the diamagnetic flow effects. The nonlinear form of the neoclassical MHD equations is derived and shown to satisfy an energy conservation equation with dissipation arising from Joule and poloidal viscous heating, and transport due to classical and neoclassical diffusion.

• Research Organization: Wisconsin Univ., Madison (USA). Dept. of Nuclear Engineering; Oak Ridge National Lab., TN (USA)
• DOE Contract Number: AC02-80ER53104
• OSTI ID: 5969441
• Report Number(s): DOE/ER/53104-T5; UWPR-85-8; ON: DE86009463; TRN: 86-014283
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
TOKAMAK DEVICES
MAGNETOHYDRODYNAMICS
NEOCLASSICAL TRANSPORT THEORY
BANANA REGIME
MOMENTS METHOD
NONLINEAR PROBLEMS
PLATEAU REGIME
CLOSED PLASMA DEVICES
FLUID MECHANICS
HYDRODYNAMICS
MECHANICS
THERMONUCLEAR DEVICES
TRANSPORT THEORY
TRAPPING
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)