Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T05:22:43.515Z Has data issue: false hasContentIssue false
  • English
  • Français

Amplification of fast magnetosonic waves and the cut-off spectrum

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 Science, 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
Get access Rights & Permissions [Opens in a new window]

Abstract

The propagation of fast magnetosonic waves in an inhomogeneous medium with planar flow in investigated. The equations describing the rays along which the waves propagate are derived, as well as the equations for the variations of the wave amplitude along the rays. These equations are solved for the case of steady flow that depends only on the radius. In addition, it is shown that a spectrum of eigenmodes may exist if the steady flow contains a shock. For that purpose, the reflection coefficient of a fast magnetosonic wave form a shock is derived, and it is shown that the waves can be localized in a region bounded by a shock and a critical surface. A criterion for stability of the spectrum is derived.

Type
Research Article
Information
Journal of Plasma Physics , Volume 48 , Issue 3 , December 1992 , pp. 345 - 357
Copyright
Copyright © Cambridge University Press 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bazer, J. & Fleischman, O. 1959 Phys. Fluids 2, 366.CrossRefGoogle Scholar
Blokhintsev, D. I. 1981 Acoustics of an Inhomogeneous Moving Medium, 2nd edn (in Russian). Nauka.Google Scholar
Dobrydnev, B. V., Komov, V. I. & Rutkevich, I. M. 1991 Proceedings of the International Conference on Energy Transfer in MHD Flows, Cadarache, France, 1991, p. 293.Google Scholar
Guschin, V. R. & Fedoeov, A. V. 1988 Izv. Akad. Nauk SSSE, Mekh. Zhid. i Gaza, no. 6, p. 72.Google Scholar
Jeffrey, A. & Taniuti, T. 1964 Nonlinear Wave Propagation with Applications to Physics and Magnetohydrodynamics. Academic.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1987 Fluid Mechanics. Pergamon.Google Scholar
Rutkevich, I. M. & Tokar, P. M. 1988 Fluid Dyn. 23, 179.CrossRefGoogle Scholar
Shercliff, J. A. 1965 A Textbook of Magnetohydrodynamics. Pergamon.Google Scholar
Von Mises, R. 1958 Mathematical Theory of Compressible Fluid Flow. Academic.Google Scholar