Neoclassical ion transport in rotating axisymmetric plasmas
The neoclassical theory of ion transport in rotating axisymmetric plasmas is formulated. The flow speed is allowed to be of the order of the ion thermal speed. It is shown that the ion distribution function becomes Maxwellian, with temperature uniform on a magnetic surface, and the poloidal flow decays, in a few transit or collision times, in general. A drift kinetic equation is derived which is a simple generalization of the drift kinetic equation for nonrotating plasmas. The radial gradient of the toroidal angular velocity appears as a driving term like the temperature gradient. Both gradients drive the transport of toroidal angular momentum and energy, in general; Onsager relations for the two-by-two transport matrix are derived. The off-diagonal transport coefficients are shown to be zero if the magnetic field has up--down symmetry. A simple expression for the enhancement of the ion thermal conductivity in the banana regime, caused by rotation, is derived. The neoclassical viscosity is shown not to be enhanced by rotation in the banana regime, and to be small in the collisionality parameter in the collisional regime, assuming up--down symmetry. In the collisional regime, the thermal conductivity is shown to be suppressed by the effects of rotation.
- Research Organization:
- GA Technologies, Inc., San Diego, California 92138
- DOE Contract Number:
- AC03-84ER53158
- OSTI ID:
- 5216890
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 28:10; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
BANANA REGIME
BOLTZMANN STATISTICS
COLLISIONAL PLASMA
EQUATIONS
INHIBITION
ION DRIFT
KINETIC EQUATIONS
MAGNETIC FIELD CONFIGURATIONS
MAGNETIC SURFACES
MATRICES
PHYSICAL PROPERTIES
PLASMA
ROTATING PLASMA
SYMMETRY
TEMPERATURE GRADIENTS
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRAPPING