Microscopic origins and macroscopic uses of plasma rotation

David Montgomery; Xiaowen Shan

doi:10.1017/s0022377800018316

Microscopic origins and macroscopic uses of plasma rotation

Journal of Plasma Physics ◽

10.1017/s0022377800018316 ◽

1995 ◽

Vol 54 (1) ◽

pp. 1-10 ◽

Cited By ~ 2

Author(s):

David Montgomery ◽

Xiaowen Shan

Keyword(s):

Kinetic Theory ◽

Plasma Rotation ◽

Poloidal Rotation

We consider the microscopic sources of toroidal and poloidal flow in confined magnetoplasmas and the effects of such flows on macroscopic stability. The central difficulty is satisfactory modelling of kinetic theory effects so as to permit their robust introduction into magnetohydrodynamic (MHD) codes. It is tentatively concluded that poloidal rotation, but not toroidal, is responsible for the computed stabilization and return to axisymmetry.

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Effect of plasma flow on the equilibrium of an axisymmetric toroidal magnetic trap

Journal of Plasma Physics ◽

10.1017/s0022377897006028 ◽

1997 ◽

Vol 58 (3) ◽

pp. 421-432 ◽

Cited By ~ 3

Author(s):

ZH. N. ANDRUSHCHENKO ◽

O. K. CHEREMNYKH ◽

J. W. EDENSTRASSER

Keyword(s):

Plasma Flow ◽

Magnetic Trap ◽

Plasma Equilibrium ◽

Plasma Rotation ◽

Stationary Plasma ◽

Shafranov Equation ◽

Nonlinear Vector ◽

Analytical Expressions ◽

Poloidal Rotation ◽

Shafranov Shift

The effect of finite plasma rotation on the equilibrium of an axisymmetric toroidal magnetic trap is investigated. The nonlinear vector equations describing the equilibrium of a highly conducting, current-carrying plasma are reduced to a set of scalar partial differential equations. Based on Shafranov's well-known tokamak model, this set of equations is employed for the description of a kinetic (stationary) plasma equilibrium. Analytical expressions for the Shafranov shift Δ are found for the case of finite plasma rotation, where two regions of possible plasma equilibria are found corresponding to sub- and super-Alfvénic poloidal rotation. The shift Δ itself, however, turns out to depend essentially on the toroidal rotation only. It is shown that in the case of a stationary plasma flow, the solution of the Grad–Shafranov equation is at the same time also the solution of the stationary Strauss equation.

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Derivation of radial electric fields using kinetic theory in tokamak

Journal of Plasma Physics ◽

10.1017/s0022377812001171 ◽

2013 ◽

Vol 79 (5) ◽

pp. 513-517

Author(s):

K. NOORI ◽

P. KHORSHID ◽

M. AFSARI

Keyword(s):

Kinetic Theory ◽

Electric Field ◽

Electric Fields ◽

Driving Forces ◽

Radial Electric Field ◽

Radial Pressure ◽

Momentum Balance ◽

Balance Equations ◽

Radial Pressure Gradient ◽

Poloidal Rotation

AbstractIn the current study, radial electric field with fluid equations has been calculated. The calculation started with kinetic theory, Boltzmann and momentum balance equations were derived, the negligible terms compared with others were eliminated, and the radial electric field expression in steady state was derived. As mentioned in previous researches, this expression includes all types of particles such as electrons, ions, and neutrals. The consequence of this solution reveals that three major driving forces contribute in radial electric field: radial pressure gradient, poloidal rotation, and toroidal rotation; rotational terms mean Lorentz force. Therefore, radial electric field and plasma rotation are connected through the radial momentum balance.

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