OUTLINE OF A SELF-CONSISTENT SOLUTION OF THE PLASMA AND NEUTRAL GAS BALANCE IN THE Z-PINCH
The self-consistent equilibrium solution is discussed for a Z-pinch which is surrounded by a neutral gas blanket. The plasma and neutral gas balance are described by a set of six equations including four plasma-related quantities (plasma density n, temperature T, current density j, magnetic field strength B) and two neutral gas related quantities (neutral density n-n, particle flux GAMMA). The partially ionized boundary layer acts as a sink for the plasma temperature and flattens the current profile in this layer. A surrounding wall, or a magnetic limiter which is introduced in the case of Extrap systems, act as sinks for the plasma particle density. In general the pinch radius cannot be prescribed, but becomes a result of the plasma and neutral gas balance. Thus, a magnetic limiter puts a constraint on the system which restricts its parameter ranges. In the boundary layer of high-beta systems such as the Z-pinch, the neutral plasma density ratio is of the order of unity, whereas this ratio becomes very small in low-beta systems such as tokamaks. With the purpose of obtaining a self-consistent solution, an iteration method is proposed where an alternating integration procedure is performed with two sets of equations. The first set includes (n, T, j, B) with (n-n,GAMMA) treated as given functions, and the second set includes (n-n,GAMMA) with (n, T, j, B) as given functions.
Bibliographic Reference: WRITE TO DEPARTMENT OF PLASMA PHYSICS AND FUSION RESEARCH, ROYAL INSTITUTE OF TECHNOLOGY, S-100 44 STOCKHOLM 70 (SWEDEN), MENTIONING REPORT TRITA-PFU-84-03, 1984
Record Number: 1989122086200 / Last updated on: 1987-01-01
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