skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Magnetohydrodynamic counter-rotating vortices and synergetic stabilizing effects of magnetic field and plasma flow

Abstract

A nonlinear two-dimensional steady state solution in the framework of hydrodynamics describing a row of periodic counter-rotating vortices is extended to the magnetohydrodynamic (MHD) equilibrium equation with incompressible flow of arbitrary direction. The extended solution covers a variety of equilibria because four surface quantities remain free. Similar to the case of the MHD cat-eyes equilibrium [Throumoulopoulos et al., J. Phys. A: Math. Theor. 42, 335501 (2009)] and unlike linear equilibria, the flow has a strong impact on isobaric surfaces by forming pressure islands located within the counter-rotating vortices even for values of beta (defined as the ratio of the thermal pressure over the external axial magnetic-field pressure) on the order of 0.01. Also, the axial current density is appreciably modified by the flow. Furthermore, a magnetic-field-aligned flow of experimental fusion relevance, i.e., for Alfven Mach numbers of the order of 0.01, and the flow shear in combination with the variation of the magnetic field perpendicular to the magnetic surfaces have significant stabilizing effects potentially related to the equilibrium nonlinearity. The stable region is enhanced by an external axial magnetic field.

Authors:
 [1];  [2]
  1. Association Euratom-Hellenic Republic, Division of Theoretical Physics, University of Ioannina, GR 451 10 Ioannina (Greece)
  2. Max-Planck-Institut fuer Plasmaphysik, Euratom Association, D-85748 Garching (Germany)
Publication Date:
OSTI Identifier:
21347187
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 17; Journal Issue: 3; Other Information: DOI: 10.1063/1.3353077; (c) 2010 American Institute of Physics; Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; MAGNETIC FIELDS; MHD EQUILIBRIUM; NONLINEAR PROBLEMS; STEADY-STATE CONDITIONS; TWO-DIMENSIONAL CALCULATIONS; VORTICES; EQUILIBRIUM

Citation Formats

Throumoulopoulos, G N, and Tasso, H. Magnetohydrodynamic counter-rotating vortices and synergetic stabilizing effects of magnetic field and plasma flow. United States: N. p., 2010. Web. doi:10.1063/1.3353077.
Throumoulopoulos, G N, & Tasso, H. Magnetohydrodynamic counter-rotating vortices and synergetic stabilizing effects of magnetic field and plasma flow. United States. https://doi.org/10.1063/1.3353077
Throumoulopoulos, G N, and Tasso, H. 2010. "Magnetohydrodynamic counter-rotating vortices and synergetic stabilizing effects of magnetic field and plasma flow". United States. https://doi.org/10.1063/1.3353077.
@article{osti_21347187,
title = {Magnetohydrodynamic counter-rotating vortices and synergetic stabilizing effects of magnetic field and plasma flow},
author = {Throumoulopoulos, G N and Tasso, H},
abstractNote = {A nonlinear two-dimensional steady state solution in the framework of hydrodynamics describing a row of periodic counter-rotating vortices is extended to the magnetohydrodynamic (MHD) equilibrium equation with incompressible flow of arbitrary direction. The extended solution covers a variety of equilibria because four surface quantities remain free. Similar to the case of the MHD cat-eyes equilibrium [Throumoulopoulos et al., J. Phys. A: Math. Theor. 42, 335501 (2009)] and unlike linear equilibria, the flow has a strong impact on isobaric surfaces by forming pressure islands located within the counter-rotating vortices even for values of beta (defined as the ratio of the thermal pressure over the external axial magnetic-field pressure) on the order of 0.01. Also, the axial current density is appreciably modified by the flow. Furthermore, a magnetic-field-aligned flow of experimental fusion relevance, i.e., for Alfven Mach numbers of the order of 0.01, and the flow shear in combination with the variation of the magnetic field perpendicular to the magnetic surfaces have significant stabilizing effects potentially related to the equilibrium nonlinearity. The stable region is enhanced by an external axial magnetic field.},
doi = {10.1063/1.3353077},
url = {https://www.osti.gov/biblio/21347187}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 3,
volume = 17,
place = {United States},
year = {2010},
month = {3}
}