51st Annual Meeting of the APS Division of Plasma Physics
Volume 54, Number 15
Monday–Friday, November 2–6, 2009;
Atlanta, Georgia
Session NI3: Plasma Rotation and Helical Equilibria
9:30 AM–12:30 PM,
Wednesday, November 4, 2009
Room: Centennial II
Chair: Eric Fredrickson, Princeton Plasma Physics Laboratory
Abstract ID: BAPS.2009.DPP.NI3.1
Abstract: NI3.00001 : Transport Equations In Tokamak Plasmas*
9:30 AM–10:00 AM
Preview Abstract
Abstract
Author:
J.D. Callen
(University of Wisconsin)
Tokamak plasma transport equations are usually obtained by flux
surface averaging the collisional Braginskii equations. However,
tokamak plasmas are not in collisional regimes. Also, ad hoc
terms are added for: neoclassical effects on the parallel Ohm's
law (trapped particle effects on resistivity, bootstrap current);
fluctuation-induced transport; heating, current-drive and flow
sources and sinks; small B field non-axisymmetries; magnetic
field transients etc. A set of self-consistent second order in
gyroradius fluid-moment-based transport equations for nearly
axisymmetric tokamak plasmas has been developed recently using a
kinetic-based framework. The derivation uses neoclassical-based
parallel viscous force closures, and includes all the effects
noted above. Plasma processes on successive time scales (and
constraints they impose) are considered sequentially:
compressional Alfv\'{e}n waves (Grad-Shafranov equilibrium, ion
radial force balance); sound waves (pressure constant along field
lines, incompressible flows within a flux surface); and ion
collisions (damping of poloidal flow). Radial particle fluxes are
driven by the many second order in gyroradius toroidal angular
torques on the plasma fluid: 7 ambipolar collision-based ones
(classical, neoclassical, etc.) and 8 non-ambipolar ones
(fluctuation-induced, polarization flows from toroidal rotation
transients etc.). The plasma toroidal rotation equation [1]
results from setting to zero the net radial current induced by
the non-ambipolar fluxes. The radial particle flux consists of
the collision-based intrinsically ambipolar fluxes plus the
non-ambipolar fluxes evaluated at the ambipolarity-enforcing
toroidal plasma rotation (radial electric field). The energy
transport equations do not involve an ambipolar constraint and
hence are more directly obtained. The resultant transport
equations will be presented and contrasted with the usual ones.
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[1] J.D. Callen, A.J. Cole, C.C. Hegna, ``Toroidal Rotation In
Tokamak Plasmas,'' to be published in Nuclear Fusion.
*Collaborators A.J. Cole, C.C. Hegna; research supported by DoE grants DE-FG02-86ER53218 and DE-FG02-92ER54139.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2009.DPP.NI3.1