The effect of plasma flow on line-tied magnetohydrodynamic modes
Abstract
The linear stability of a linear pinch to kink modes with line-tying boundary conditions and equilibrium axial flow is studied. Numerical results in visco-resistive magnetohydrodynamics show that for long plasmas, in which the line-tying stabilization effect is weak, plasma flow is stabilizing. For shorter plasmas, near the length at which line-tying stabilizes the mode for zero flow, the flow can be destabilizing. A simple model using reduced ideal magnetohydrodynamics with a step-function current density and an even simpler one-dimensional sound wave model with equilibrium flow elucidate these effects. It is concluded that: (1) The stabilization in long plasmas is due to convective stabilization; (2) the destabilization for short plasmas can be explained using a picture involving the coupling of two stable waves, one propagating in the forward direction and one in the backward direction; and (3) strong magnetic shear suppresses the flow destabilization for short plasmas.
- Authors:
-
- Dipartimento di Energetica, Politecnico di Torino, 10129 Torino (Italy)
- T-5, Applied Mathematics and Plasma Physics Group, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
- Publication Date:
- OSTI Identifier:
- 21378015
- Resource Type:
- Journal Article
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 17; Journal Issue: 6; Other Information: DOI: 10.1063/1.3418317; (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; BOUNDARY CONDITIONS; COUPLING; CURRENT DENSITY; EQUILIBRIUM; HYDROMAGNETIC WAVES; ION ACOUSTIC WAVES; KINK INSTABILITY; MAGNETOHYDRODYNAMICS; PLASMA; SOUND WAVES; STABILIZATION; FLUID MECHANICS; HYDRODYNAMICS; INSTABILITY; ION WAVES; MECHANICS; PLASMA INSTABILITY; PLASMA MACROINSTABILITIES; PLASMA WAVES
Citation Formats
Arcudi, Francesco, Delzanno, Gian Luca, and Finn, John M. The effect of plasma flow on line-tied magnetohydrodynamic modes. United States: N. p., 2010.
Web. doi:10.1063/1.3418317.
Arcudi, Francesco, Delzanno, Gian Luca, & Finn, John M. The effect of plasma flow on line-tied magnetohydrodynamic modes. United States. https://doi.org/10.1063/1.3418317
Arcudi, Francesco, Delzanno, Gian Luca, and Finn, John M. 2010.
"The effect of plasma flow on line-tied magnetohydrodynamic modes". United States. https://doi.org/10.1063/1.3418317.
@article{osti_21378015,
title = {The effect of plasma flow on line-tied magnetohydrodynamic modes},
author = {Arcudi, Francesco and Delzanno, Gian Luca and Finn, John M},
abstractNote = {The linear stability of a linear pinch to kink modes with line-tying boundary conditions and equilibrium axial flow is studied. Numerical results in visco-resistive magnetohydrodynamics show that for long plasmas, in which the line-tying stabilization effect is weak, plasma flow is stabilizing. For shorter plasmas, near the length at which line-tying stabilizes the mode for zero flow, the flow can be destabilizing. A simple model using reduced ideal magnetohydrodynamics with a step-function current density and an even simpler one-dimensional sound wave model with equilibrium flow elucidate these effects. It is concluded that: (1) The stabilization in long plasmas is due to convective stabilization; (2) the destabilization for short plasmas can be explained using a picture involving the coupling of two stable waves, one propagating in the forward direction and one in the backward direction; and (3) strong magnetic shear suppresses the flow destabilization for short plasmas.},
doi = {10.1063/1.3418317},
url = {https://www.osti.gov/biblio/21378015},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 6,
volume = 17,
place = {United States},
year = {Tue Jun 15 00:00:00 EDT 2010},
month = {Tue Jun 15 00:00:00 EDT 2010}
}