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Existence of non-unique steady state solutions to the RMF current drive equations

Journal Article:

Abstract

It is shown that the value of the d.c. current driven in a plasma cylinder by means of a rotating magnetic field (RMF) is not unique for R/delta >= 6 and eBsub(..omega..)/..nu..sub(ei)m approx.R/delta, where R is the radius of the plasma cylinder, delta is the classical skin depth, ..nu..sub(ei) is the electron-ion momentum transfer collision frequency, Bsub(..omega..) is the magnitude of the rotating magnetic field, e is the electron charge and m is the electron mass. This effect is predicted using three distinct approaches: (i) a steady state anaysis which ignores the second and higher harmonics of the fields and currents; (ii) a qualitative model which utilizes the analogy between the RMF current drive technique and the operation of the induction motor; (iii) a solution of the initial boundary value equations describing the RMF current drive in cylindrical plasmas.
Authors:
Hugrass, W N [1] 
  1. Flinders Univ. of South Australia, Bedford Park. School of Physical Sciences
Publication Date:
May 04, 1985
Product Type:
Journal Article
Reference Number:
AIX-16-076037; EDB-86-007029
Resource Relation:
Journal Name: Aust. J. Phys.; (Australia); Journal Volume: 38:2
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA; ELECTRIC CURRENTS; CURRENT-DRIVE HEATING; MAGNETIC FIELDS; MATHEMATICAL MODELS; ROTATION; STEADY-STATE CONDITIONS; CURRENTS; ELECTRIC HEATING; HEATING; JOULE HEATING; MOTION; PLASMA HEATING; RESISTANCE HEATING; 700101* - Fusion Energy- Plasma Research- Confinement, Heating, & Production
OSTI ID:
6234426
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: AUJPA
Submitting Site:
HEDB
Size:
Pages: 157-169
Announcement Date:
Nov 01, 1985

Journal Article:

Citation Formats

Hugrass, W N. Existence of non-unique steady state solutions to the RMF current drive equations. Australia: N. p., 1985. Web.
Hugrass, W N. Existence of non-unique steady state solutions to the RMF current drive equations. Australia.
Hugrass, W N. 1985. "Existence of non-unique steady state solutions to the RMF current drive equations." Australia.
@misc{etde_6234426,
title = {Existence of non-unique steady state solutions to the RMF current drive equations}
author = {Hugrass, W N}
abstractNote = {It is shown that the value of the d.c. current driven in a plasma cylinder by means of a rotating magnetic field (RMF) is not unique for R/delta >= 6 and eBsub(..omega..)/..nu..sub(ei)m approx.R/delta, where R is the radius of the plasma cylinder, delta is the classical skin depth, ..nu..sub(ei) is the electron-ion momentum transfer collision frequency, Bsub(..omega..) is the magnitude of the rotating magnetic field, e is the electron charge and m is the electron mass. This effect is predicted using three distinct approaches: (i) a steady state anaysis which ignores the second and higher harmonics of the fields and currents; (ii) a qualitative model which utilizes the analogy between the RMF current drive technique and the operation of the induction motor; (iii) a solution of the initial boundary value equations describing the RMF current drive in cylindrical plasmas.}
journal = {Aust. J. Phys.; (Australia)}
volume = {38:2}
journal type = {AC}
place = {Australia}
year = {1985}
month = {May}
}