Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-26T04:41:01.713Z Has data issue: false hasContentIssue false
  • English
  • Français

Dissipation discontinuities in hydromagnetic shock waves

Published online by Cambridge University Press:  13 March 2009

F. V. Coroniti
F. V. Coroniti
Affiliation:
Department of Physics and Space Sciences Laboratory, University of California, Berkeley, California
Get access Rights & Permissions [Opens in a new window]

Abstract

Within the hydromagnetic approximation, the effects of resistive, viscous, and thermal conduction dissipation on the structure of shock waves is studied. A Perturbation analysis about the upstream and downstream stationary points is developed, which, when coupled with the shock evolutionary conditions, determines the conditions for the formation of discontinuities in the shock structure. The Viscous subshock for fast shock waves and the hydromagnetic analogue of the gas dynamic isothermal discontinuity for fast and slow shocks are analyzed. Very oblique fast shocks require both resistive and viscous dissipation for a steady shock structure. Strong slow shocks propagationg nearly along the magnetic field fail to steepen if only resistive dissipation is included. The rotational discontinuity does not possess a stable shock structure for any of the dissipation processes considered.

Type
Research Article
Information
Journal of Plasma Physics , Volume 4 , Issue 2 , May 1970 , pp. 265 - 282
Copyright
Copyright © Cambridge University Press 1970

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

REFERENCES

Akhiezer, A. I., Liubraski, G. Ia. & Polovin, R. V. 1959 Soc. Phys. JETP 35, 507.Google Scholar
Anderson, J. E. 1963 Magnetohydrodynamic Shock Waves. Cambridge, Massachusetts: MIT Press.CrossRefGoogle Scholar
Banos, A. 1956 Magneto-hydrodynamic waves in compressible fluids with finite viscosity and heat conductivity. In I.A.U. Symposium no. 6, Electromagnetic Phenomena in Cosmical Physics, p. 15. Ed., Lehnert, B., Cambridge.Google Scholar
Formisano, V. & Kennel, C. F. 1969 J. Plasma Phys. 3, 55.CrossRefGoogle Scholar
Gardner, C. S. & Kruskal, M. D. 1964 Phys. Fluids 7, 700.CrossRefGoogle Scholar
Germain, P. 1960 Rev. Mod. Phys. 32, 951.CrossRefGoogle Scholar
Kantrowitz, A. R. & Petschek, H. E. 1966 MHD characteristics and shock waves. In Plasma Physics in Theory and Application, p. 148. Ed. Kunkel, W. B.. New York: McGraw-Hill.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics. Addison-Wesley.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1960 Electrodynamics of Continuous Media. Addison- Wesley.Google Scholar
Leonard, B. P. 1966 Phys Fluids 9, 913.CrossRefGoogle Scholar
Marshall, W. 1955 Proc. Roy. Soc. Lond. A 233, 367.Google Scholar
Trehan, S. K. 1965 Macroscopic theory of plasma waves. In Plasma Physics, p. 21. Austria: IAEA, Vienna.Google Scholar