Hostname: page-component-7479d7b7d-c9gpj Total loading time: 0 Render date: 2024-07-11T07:58:15.049Z Has data issue: false hasContentIssue false
  • English
  • Français

Stability of magnetohydrodynamic shock waves

Published online by Cambridge University Press:  13 March 2009

Martin Lessen  and
Narayan V. Deshpande
Martin Lessen
Affiliation:
Department of Mechanical and Aerospace Sciences, University of Rochester, Rochester, N.Y.
Narayan V. Deshpande
Affiliation:
Department of Mechanical and Aerospace Sciences, University of Rochester, Rochester, N.Y.
Get access Rights & Permissions [Opens in a new window]

Abstract

The stability of oblique magnetohycirodynamic shock waves is studied with respect to a disturbance that excites magneto-acoustic waves. The problem is solved numerically by the normal mode analysis and it is shown that slow shocks are unstable in the sense that the disturbance grows exponentially with time. Growth rates are calculated for a particular Mach number and for different values of the magnetic field and obliqueness. The fast shock appears to be stable.

Type
Research Article
Information
Journal of Plasma Physics , Volume 1 , Issue 4 , November 1967 , pp. 463 - 472
Copyright
Copyright © Cambridge University Press 1967

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

REFERENCE

Arhiezer, A. I., Liubarskii, G. I. & Polovin, R. V. 1959 Soviet Phys. JETP 8, 507.Google Scholar
Anderson, S. E. 1963 Magnetohydrodynamic Shock Waves. Cambridge, Massachusetts: M.I.T. Press.CrossRefGoogle Scholar
Bazer, S. & Ericson, W. B. 1959 Astrophys. J. 129, 758.CrossRefGoogle Scholar
Cabannes, H. 1960 Rev. Mod. Fhys. 32, 973.CrossRefGoogle Scholar
Erpenbeck, J. J. 1962 Phys. Fluids 5, 1181.CrossRefGoogle Scholar
Friedrichs, K. O. 1954 Los Alamos Rept no. LAMS-2105 (Physics).Google Scholar
Friedrichs, K. O. & Kruskal, M. D. 1964 Phys. Fluids 7, 700.Google Scholar
Helfer, H. L. 1953 Astrophys. J. 117, 177.CrossRefGoogle Scholar
De Hoffmann, F. & Teller, E. 1950 Phys. Rev. 80, 692.CrossRefGoogle Scholar
Lüst, R. 1953 Z. Naturforsch. 8 a, 277.CrossRefGoogle Scholar
Lüst, R. 1955 Z. Naturforsch. 109, 125.CrossRefGoogle Scholar
Lynn, Y. M. 1965 Courant Institute of Mathematical Sciences, New York University Report NYO-1480-29 MF-47.Google Scholar