### Abstract

Original language | English |
---|---|

Pages (from-to) | 1465-1475 |

Number of pages | 11 |

Journal | Plasma Physics and Controlled Fusion |

Volume | 26 |

Issue number | 12B |

DOIs | |

Publication status | Published - 1984 |

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### Cite this

*Plasma Physics and Controlled Fusion*,

*26*(12B), 1465-1475. https://doi.org/10.1088/0741-3335/26/12B/003

}

*Plasma Physics and Controlled Fusion*, vol. 26, no. 12B, pp. 1465-1475. https://doi.org/10.1088/0741-3335/26/12B/003

**A 2-D equilibrium model of toroidal belt pinches.** / Heesch, van, E.J.M.; Schuurman, W.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

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

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

AU - Schuurman, W.

PY - 1984

Y1 - 1984

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

IS - 12B

ER -