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University of Illinois at Urbana-Champaign

Rotating magnetohydrodynamic and trapped hot-ion induced internal kinks

Abstract

dc:description

As a new and significant contribution to the tokamak literature, the linear internal MHD kink modes in finite aspect-ratio axisymmetric toroidally rotating tokamak equilibria and their kinetic modifications owing to the presence of hot ions are computationally studied herein using a bilinear form derived using a Lagrangian perturbation procedure. As a practical application, the rotating MHD and kinetic internal kinks are calculated in finite aspect-ratio TFTR- and ITER-like geometries. The MHD and kinetic modes of the rotating tokamak plasmas are found to be significantly destabilized by the centrifugal effects at rotation speeds in the range of $10\sp4$-10$\sp5$ rad/s at normal discharge densities. The kinetic instability model provides a unified description of several features of the 'fishbone'-like oscillations such as the slow mode rotating at the plasma rotation frequency, the fast mode with high rotation frequency, and variation of the slow as well as fast mode frequencies with plasma rotation. The slow kinetic modes rotate close to mean plasma rotation speeds, and the fast kinetic modes rotate at about 10$\sp5$ rad/s. The fast mode rotation frequencies are in the range of the magnetic-precession frequencies of the deeply trapped ions. Also, the kinetic kink modes are found to be excitable in ITER-like ignited tokamak configurations owing to hot fusion products such as alphas.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Nuclear Engineering
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Varadarajan, V.
Contributors dc:contributor
  • Miley, George H.

Subjects

dc:subject × 2

Rights

dc:rights
Statement dc:rights
  • Copyright 1993 Varadarajan, V.
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9411809
(UMI)AAI9411809
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/21572

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Varadarajan, V.. Rotating magnetohydrodynamic and trapped hot-ion induced internal kinks. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/21572