Radial boundary layers in diffusing toroidal equilibria
Analytic results in straight cylindrical geometry imply sharp density gradients near the boundary of a plasma decaying by classical diffusion. Utilizing an isothermal one-fluid magnetohydrodynamic model, we apply these results to toroidal configurations and obtain a set of nonlinear equations for a radial boundary layer. A dominant effect in this regime is convective plasma flow along magnetic lines of force, with velocity in the sonic range. This flow pattern matches onto the interior solution of Pfirsch-Schlueter convective flow. Solutions separable in the radial and poloidal directions are found that fulfill both boundary and periodicity conditions, and that result in both smooth subsonic poloidal flow, and weak shock transonic flows. Effects of the flow patterns on diffusion are discussed.
- Research Organization:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- DOE Contract Number:
- E(11-1)-3073
- OSTI ID:
- 7228548
- Report Number(s):
- PPPL-1315; TRN: 77-007044
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
PLASMA CONFINEMENT
BOUNDARY CONDITIONS
PLASMA SHEATH
BOUNDARY LAYERS
DIFFUSION
EQUILIBRIUM PLASMA
MAGNETOHYDRODYNAMICS
PLASMA
TOROIDAL CONFIGURATION
ANNULAR SPACE
CONFIGURATION
CONFINEMENT
FLUID MECHANICS
HYDRODYNAMICS
LAYERS
MECHANICS
700101* - Fusion Energy- Plasma Research- Confinement
Heating
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