Stationary equilibrium and rotation of a collisional plasma in a torus
This paper describes a collision dominated and isothermal plasma consisting of N particle species. Starting from the momentum balance equations of the plasma components the flux-friction relations are derived for every magnetic surface. The plasma is considered in general toroidal geometry, therefore the results apply to tokamaks and stellarators. Taking into account inertial forces leads to non-linear equations which determine the poloidal and toroidal rotation of the plasma within the magnetic surfaces. The main part of the paper deals with the multi-fluid model and generalises the flux-friction relations to a multi-species plasma. Because of the Coriolis forces the flux-friction relations become first order differential equations. The viscous damping is analysed for a collisional plasma showing the influence of the magnetic field topology and Pfirsch-Schlüter currents on the spin-up mechanism. The similarity between the spin-up equations and the theory of circulation in planetary atmospheres is indicated. Finally the effect of shear viscosity and gyro viscosity is considered.
Bibliographic Reference: Report: IPP 2/322 EN (1994) 63 pp.
Availability: Available from Max-Planck-Institut für Plasmaphysik, 8046 Garching bei München (DE)
Record Number: 199411559 / Last updated on: 1995-01-10
Original language: en
Available languages: en