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Title: Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration

Abstract

A Solovev-like solution describing equilibria with field aligned incompressible flows [G. N. Throumoulopoulos and H. Tasso, Phys. Plasmas 19, 014504 (2012)] is extended to non parallel flows. The solution expressed as a superposition of Bessel functions contains an arbitrary number of free parameters which are exploited to construct a variety of configurations including ITER shaped ones. For parallel flows, application of a sufficient condition for linear stability shows that this condition is satisfied in an appreciable part of the plasma region on the high-field side mostly due to the variation of the magnetic field perpendicular to the magnetic surfaces. Also, the results indicate that depending on the shape of the Mach-function profile and the values of the free parameters the flow and flow shear may have either stabilizing or destabilizing effects.

Authors:
;  [1]
  1. Department of Physics, University of Ioannina, GR 451 10 Ioannina (Greece)
Publication Date:
OSTI Identifier:
22303814
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 8; Other Information: (c) 2014 EURATOM; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BESSEL FUNCTIONS; CONFIGURATION; EQUILIBRIUM; INCOMPRESSIBLE FLOW; ITER TOKAMAK; MAGNETIC FIELDS; MAGNETIC SURFACES; MATHEMATICAL SOLUTIONS; PLASMA; SHEAR; STABILITY

Citation Formats

Kaltsas, D. A., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr, and Throumoulopoulos, G. N., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr. Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration. United States: N. p., 2014. Web. doi:10.1063/1.4892380.
Kaltsas, D. A., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr, & Throumoulopoulos, G. N., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr. Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration. United States. doi:10.1063/1.4892380.
Kaltsas, D. A., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr, and Throumoulopoulos, G. N., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr. Fri . "Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration". United States. doi:10.1063/1.4892380.
@article{osti_22303814,
title = {Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration},
author = {Kaltsas, D. A., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr and Throumoulopoulos, G. N., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr},
abstractNote = {A Solovev-like solution describing equilibria with field aligned incompressible flows [G. N. Throumoulopoulos and H. Tasso, Phys. Plasmas 19, 014504 (2012)] is extended to non parallel flows. The solution expressed as a superposition of Bessel functions contains an arbitrary number of free parameters which are exploited to construct a variety of configurations including ITER shaped ones. For parallel flows, application of a sufficient condition for linear stability shows that this condition is satisfied in an appreciable part of the plasma region on the high-field side mostly due to the variation of the magnetic field perpendicular to the magnetic surfaces. Also, the results indicate that depending on the shape of the Mach-function profile and the values of the free parameters the flow and flow shear may have either stabilizing or destabilizing effects.},
doi = {10.1063/1.4892380},
journal = {Physics of Plasmas},
number = 8,
volume = 21,
place = {United States},
year = {Fri Aug 15 00:00:00 EDT 2014},
month = {Fri Aug 15 00:00:00 EDT 2014}
}