skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Neoclassical toroidal viscosity for an axisymmetric toroidal equilibrium with multiple trapping of particles

Abstract

A method is illustrated on how to apply existing formulas to the neoclassical toroidal plasma viscosity for an axisymmetric toroidal equilibrium with an arbitrary aspect ratio that has multiple trapping states. The effect of the energy scattering on the viscosity in the {nu} regime is presented using an approximate collision operator. Here, {nu} is the collision frequency. The explicit expressions for the steady state toroidal flow speed resulting from the neoclassical toroidal flow damping in both the 1/{nu} and the {nu} regime are also presented. The physics origin of the toroidal viscous force is the broken toroidal symmetry induced by the error fields and the amplification of these fields by stable or unstable resistive wall modes, or other asymmetric magnetic field perturbations.

Authors:
; ;  [1];  [2];  [2]
  1. Department of Engineering Physics, University of Wisconsin, Madison, Wisconsin 53706 (United States)
  2. (United States)
Publication Date:
OSTI Identifier:
20974851
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 2; Other Information: DOI: 10.1063/1.2437119; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLIFICATION; ASPECT RATIO; ASYMMETRY; AXIAL SYMMETRY; COLLISIONS; CONFINEMENT; DAMPING; EQUILIBRIUM; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; NEOCLASSICAL TRANSPORT THEORY; PLASMA; PLASMA INSTABILITY; STEADY-STATE CONDITIONS; TOKAMAK DEVICES; TRAPPING; VISCOSITY; WALL EFFECTS

Citation Formats

Shaing, K. C., Sabbagh, S. A., Peng, M., Department of Applied Physics and Applied Mechanics, Columbia University, New York, New York 10027, and Fusion Energy Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831. Neoclassical toroidal viscosity for an axisymmetric toroidal equilibrium with multiple trapping of particles. United States: N. p., 2007. Web. doi:10.1063/1.2437119.
Shaing, K. C., Sabbagh, S. A., Peng, M., Department of Applied Physics and Applied Mechanics, Columbia University, New York, New York 10027, & Fusion Energy Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831. Neoclassical toroidal viscosity for an axisymmetric toroidal equilibrium with multiple trapping of particles. United States. doi:10.1063/1.2437119.
Shaing, K. C., Sabbagh, S. A., Peng, M., Department of Applied Physics and Applied Mechanics, Columbia University, New York, New York 10027, and Fusion Energy Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831. Thu . "Neoclassical toroidal viscosity for an axisymmetric toroidal equilibrium with multiple trapping of particles". United States. doi:10.1063/1.2437119.
@article{osti_20974851,
title = {Neoclassical toroidal viscosity for an axisymmetric toroidal equilibrium with multiple trapping of particles},
author = {Shaing, K. C. and Sabbagh, S. A. and Peng, M. and Department of Applied Physics and Applied Mechanics, Columbia University, New York, New York 10027 and Fusion Energy Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831},
abstractNote = {A method is illustrated on how to apply existing formulas to the neoclassical toroidal plasma viscosity for an axisymmetric toroidal equilibrium with an arbitrary aspect ratio that has multiple trapping states. The effect of the energy scattering on the viscosity in the {nu} regime is presented using an approximate collision operator. Here, {nu} is the collision frequency. The explicit expressions for the steady state toroidal flow speed resulting from the neoclassical toroidal flow damping in both the 1/{nu} and the {nu} regime are also presented. The physics origin of the toroidal viscous force is the broken toroidal symmetry induced by the error fields and the amplification of these fields by stable or unstable resistive wall modes, or other asymmetric magnetic field perturbations.},
doi = {10.1063/1.2437119},
journal = {Physics of Plasmas},
number = 2,
volume = 14,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}