The Kelvin-Helmholtz Instability in a Compressible Plasma: The Role of the Orientation of the Magnetic Field with Respect to the Flow

The hydromagnetic Kelvin-Helmholtz instability is relevant in many complex situations in astrophysical and laboratory plasmas. Many cases of interest are very complicated, since they involve the combined roles of velocity shear, density and magnetic field stratification, and various geometries in co...

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Autores principales: González, A.G., Gratton, J.
Formato: JOUR
Materias:
Dispersion (waves)
Hall effect
Interfacial energy
Magnetic field effects
Magnetohydrodynamics
Parameter estimation
Plasma collision processes
Plasma density
Plasma flow
Stress analysis
Velocity
Kelvin-Helmholtz instability
Plasma stability
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00223778_v51_n1_p43_Gonzalez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00223778_v51_n1_p43_Gonzalez
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spelling todo:paper_00223778_v51_n1_p43_Gonzalez2023-10-03T14:32:32Z The Kelvin-Helmholtz Instability in a Compressible Plasma: The Role of the Orientation of the Magnetic Field with Respect to the Flow González, A.G. Gratton, J. Dispersion (waves) Hall effect Interfacial energy Magnetic field effects Magnetohydrodynamics Parameter estimation Plasma collision processes Plasma density Plasma flow Stress analysis Velocity Kelvin-Helmholtz instability Plasma stability The hydromagnetic Kelvin-Helmholtz instability is relevant in many complex situations in astrophysical and laboratory plasmas. Many cases of interest are very complicated, since they involve the combined roles of velocity shear, density and magnetic field stratification, and various geometries in compressible plasmas. The present work is part of a systematic investigation of the influence of the various physical and geometrical parameters characterizing the plasmas on the Kelvin-Helmholtz modes. The general dispersion relation for ideal compressible MHD modes localized near a velocity discontinuity between two uniform plasmas is derived. The existence and characteristics of the modes and their stability are studied analytically for any relative orientation of B, u and k, for continuous B and p. It is shown that the stability of a given configuration cannot be determined by considering only special orientations of k (say flute or parallel modes). The results obtained here may serve as a guide to interpret results in more complicated and realistic situations, such as those occurring in expeririments and natural plasmas. © 1994, Cambridge University Press. All rights reserved. Fil:González, A.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Gratton, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00223778_v51_n1_p43_Gonzalez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Dispersion (waves)
Hall effect
Interfacial energy
Magnetic field effects
Magnetohydrodynamics
Parameter estimation
Plasma collision processes
Plasma density
Plasma flow
Stress analysis
Velocity
Kelvin-Helmholtz instability
Plasma stability
spellingShingle Dispersion (waves)
Hall effect
Interfacial energy
Magnetic field effects
Magnetohydrodynamics
Parameter estimation
Plasma collision processes
Plasma density
Plasma flow
Stress analysis
Velocity
Kelvin-Helmholtz instability
Plasma stability
González, A.G.
Gratton, J.
The Kelvin-Helmholtz Instability in a Compressible Plasma: The Role of the Orientation of the Magnetic Field with Respect to the Flow
topic_facet Dispersion (waves)
Hall effect
Interfacial energy
Magnetic field effects
Magnetohydrodynamics
Parameter estimation
Plasma collision processes
Plasma density
Plasma flow
Stress analysis
Velocity
Kelvin-Helmholtz instability
Plasma stability
description The hydromagnetic Kelvin-Helmholtz instability is relevant in many complex situations in astrophysical and laboratory plasmas. Many cases of interest are very complicated, since they involve the combined roles of velocity shear, density and magnetic field stratification, and various geometries in compressible plasmas. The present work is part of a systematic investigation of the influence of the various physical and geometrical parameters characterizing the plasmas on the Kelvin-Helmholtz modes. The general dispersion relation for ideal compressible MHD modes localized near a velocity discontinuity between two uniform plasmas is derived. The existence and characteristics of the modes and their stability are studied analytically for any relative orientation of B, u and k, for continuous B and p. It is shown that the stability of a given configuration cannot be determined by considering only special orientations of k (say flute or parallel modes). The results obtained here may serve as a guide to interpret results in more complicated and realistic situations, such as those occurring in expeririments and natural plasmas. © 1994, Cambridge University Press. All rights reserved.
format JOUR
author González, A.G.
Gratton, J.
author_facet González, A.G.
Gratton, J.
author_sort González, A.G.
title The Kelvin-Helmholtz Instability in a Compressible Plasma: The Role of the Orientation of the Magnetic Field with Respect to the Flow
title_short The Kelvin-Helmholtz Instability in a Compressible Plasma: The Role of the Orientation of the Magnetic Field with Respect to the Flow
title_full The Kelvin-Helmholtz Instability in a Compressible Plasma: The Role of the Orientation of the Magnetic Field with Respect to the Flow
title_fullStr The Kelvin-Helmholtz Instability in a Compressible Plasma: The Role of the Orientation of the Magnetic Field with Respect to the Flow
title_full_unstemmed The Kelvin-Helmholtz Instability in a Compressible Plasma: The Role of the Orientation of the Magnetic Field with Respect to the Flow
title_sort kelvin-helmholtz instability in a compressible plasma: the role of the orientation of the magnetic field with respect to the flow
url http://hdl.handle.net/20.500.12110/paper_00223778_v51_n1_p43_Gonzalez
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