Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983mnras.204..821r&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 204, Aug. 1983, p. 821-831.
Astronomy and Astrophysics
Astrophysics
32
Astrophysics, Kelvin-Helmholtz Instability, Plasma Compression, Compressible Flow, Incompressible Flow, Magnetic Fields, Magnetohydrodynamic Stability, Shear Flow, Shear Layers, Velocity Distribution
Scientific paper
Kelvin-Helmholtz instabilities for the case of a homogeneous compressible plasma containing a velocity shear and a magnetic field are investigated. It is shown that, in the incompressible limit, the shear layer is stable to modes making arbitrary angles in the flow provided the total velocity jump across the shear layer U(O) is less than twice the Alfven speed V(A). Again assuming a field parallel to the flow, it is fond that for U(O) greater than 2V(A) a magnetic field exerts a slightly destabilizing effect for wavelengths comparable to the shear layer width. For the compressible case, with modes and magnetic field parallel to the flow, it is found that stability exists if V(A) equals or exceeds the speed of sound, provided that the Mach number is greater than about one. For transverse magnetic fields and modes parallel to the flow, the sound speed S is replaced by (S-squared + V(A)-squared) to the 1/2, and the results are applied to the nonmagnetic compressible case.
Ershkovich A. I.
Ray Thomas P.
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