A 2-D equilibrium model of toroidal belt pinches

E.J.M. Heesch, van, W. Schuurman

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

An analytical method is described to extend an existing equilibrium model of a straight cylindrical plasma column with elliptic cross-section, traversed by a uniform axial current, and surrounded by a vacuum. This model is the zero order in a procedure in which the ideal MHD equations are linearized after the introduction of small perturbations which represent toroidicity, deviation from ellipticity and external force-free currents. The solution of the resulting equations is used to analyse the effects of the perturbations, major effects being the shift of stagnation points and reshaping of the outer flux surfaces. Numerical examples are given and a comparison is made with other existing theories and with belt screw-pinch experiments.
Original languageEnglish
Pages (from-to)1465-1475
Number of pages11
JournalPlasma Physics and Controlled Fusion
Volume26
Issue number12B
DOIs
Publication statusPublished - 1984

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screw pinch
cylindrical plasmas
perturbation
stagnation point
ellipticity
Magnetohydrodynamics
Vacuum
Fluxes
deviation
Plasmas
vacuum
shift
cross sections
Experiments

Cite this

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title = "A 2-D equilibrium model of toroidal belt pinches",
abstract = "An analytical method is described to extend an existing equilibrium model of a straight cylindrical plasma column with elliptic cross-section, traversed by a uniform axial current, and surrounded by a vacuum. This model is the zero order in a procedure in which the ideal MHD equations are linearized after the introduction of small perturbations which represent toroidicity, deviation from ellipticity and external force-free currents. The solution of the resulting equations is used to analyse the effects of the perturbations, major effects being the shift of stagnation points and reshaping of the outer flux surfaces. Numerical examples are given and a comparison is made with other existing theories and with belt screw-pinch experiments.",
author = "{Heesch, van}, E.J.M. and W. Schuurman",
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A 2-D equilibrium model of toroidal belt pinches. / Heesch, van, E.J.M.; Schuurman, W.

In: Plasma Physics and Controlled Fusion, Vol. 26, No. 12B, 1984, p. 1465-1475.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - A 2-D equilibrium model of toroidal belt pinches

AU - Heesch, van, E.J.M.

AU - Schuurman, W.

PY - 1984

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N2 - An analytical method is described to extend an existing equilibrium model of a straight cylindrical plasma column with elliptic cross-section, traversed by a uniform axial current, and surrounded by a vacuum. This model is the zero order in a procedure in which the ideal MHD equations are linearized after the introduction of small perturbations which represent toroidicity, deviation from ellipticity and external force-free currents. The solution of the resulting equations is used to analyse the effects of the perturbations, major effects being the shift of stagnation points and reshaping of the outer flux surfaces. Numerical examples are given and a comparison is made with other existing theories and with belt screw-pinch experiments.

AB - An analytical method is described to extend an existing equilibrium model of a straight cylindrical plasma column with elliptic cross-section, traversed by a uniform axial current, and surrounded by a vacuum. This model is the zero order in a procedure in which the ideal MHD equations are linearized after the introduction of small perturbations which represent toroidicity, deviation from ellipticity and external force-free currents. The solution of the resulting equations is used to analyse the effects of the perturbations, major effects being the shift of stagnation points and reshaping of the outer flux surfaces. Numerical examples are given and a comparison is made with other existing theories and with belt screw-pinch experiments.

U2 - 10.1088/0741-3335/26/12B/003

DO - 10.1088/0741-3335/26/12B/003

M3 - Article

VL - 26

SP - 1465

EP - 1475

JO - Plasma Physics and Controlled Fusion

JF - Plasma Physics and Controlled Fusion

SN - 0741-3335

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