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Amplification of magnetovortex waves in planar MHD flows

Published online by Cambridge University Press:  13 March 2009

I. M. Rutkevich  and
M. Mond
I. M. Rutkevich
Affiliation:
Institute of High Temperatures of the Russian Academy of Sciences, Izhorskaya 13/19, Moscow, Russia
M. Mond
Affiliation:
The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
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Abstract

The propagation of magnetovortex waves in an inhomogeneous medium with planar flow and perpendicular magnetic field is investigated. The linearized MHD equations are studied with the aid of the WKB approximation. Within the latter, a set of ordinary differential equations along the streamlines of the basic flow is derived. These equations govern the variations of the transverse as well as the parallel magnetovortex waves along its rays. The amplitude equations are solved explicitly for a particular geometry of the basic flow, and the solutions are investigated for subsonic as well as for supersonic basic flows.

Type
Research Article
Information
Journal of Plasma Physics , Volume 48 , Issue 3 , December 1992 , pp. 359 - 366
Copyright
Copyright © Cambridge University Press 1992

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References

Dewar, R. L. & Glasser, A. H. 1983 Phys. Fluids 26, 3038.CrossRefGoogle Scholar
Hameiri, E., Lawrence, P. & Mond, M. 1991 J. Geophys. Res. 9, 1513.CrossRefGoogle Scholar
Mond, M. & Hameiri, E. 1992 The ballooning instability in fluid dynamics. Prog. Astronautics and Aeronautics (to be published).Google Scholar
Rutkevich, I. M. & Mond, M. 1992 J. Plasma Phys. 48, 345.CrossRefGoogle Scholar
Rutkevich, I. M. & Tokar, P. M. 1981 High Temperature 19, 887.Google Scholar
Shercliff, J. A. 1965 A Textbook of Magnetohydrodynamics. Pergamon.Google Scholar
Von Mises, R. 1958 Mathematical Theory of Compressible Fluid Flow. Academic Press (New York).Google Scholar