Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-15T02:01:13.139Z Has data issue: false hasContentIssue false
  • English
  • Français

The structure of MHD shock waves

Published online by Cambridge University Press:  13 March 2009

Omar Badr
Omar Badr*
Affiliation:
Faculty of Science, Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
Get access Rights & Permissions [Opens in a new window]

Abstract

The MHD equations are used to discuss the formation and structure of shock waves in channel flow of an ionized gas with finite viscosity, thermal and electrical conductivity. The fundamental resulting complicated nonlinear differential equations are solved exactly, and the shock structure is determined completely. A necessary compatibility condition for the evolution of shock waves is obtained in the form:

where Pr and Prm are ordinary and magnetic Prandtl numbers and γ the ratio of specific heats. The flow quantities and parameters are found to depend, in a non-analytical manner, on Pr and Prm, so that special cases of interest are to be treated separately. Numerical results are given and discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 30 , Issue 3 , December 1983 , pp. 359 - 369
Copyright
Copyright © Cambridge University Press 1983

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

Anderson, J. E. 1963 Magnetohydrodynamic Shock Waves. M.I.T. Press.CrossRefGoogle Scholar
Badr, O. 1980 J. Nat. Sci. Math. 20, 63.Google Scholar
Becker, R. 1922 Z. Physik, 8, 321.CrossRefGoogle Scholar
Chow, C. Y. 1979 An Introduction to computational Fluid Mechanics. Wiley.Google Scholar
Coroniti, F. V. 1970 J. Plasma Phys. 4, 265.CrossRefGoogle Scholar
Davis, L., Lüst, R. & Schlüter, A. 1958 Z. Naturforschung, 13a, 916.CrossRefGoogle Scholar
Hoffman, A. L. 1967 J. Plasma Phys. 1, 193.CrossRefGoogle Scholar
Kalikhman, L. E. 1967 Elements of MGD. Saunders.Google Scholar
Mitchner, M. & Kruger, C. H. 1973 Partially Ionized Gases. Wiley.Google Scholar
Polovin, R. V. 1961 a Soviet Phys. Uspekhi 3, 677.CrossRefGoogle Scholar
Polovin, R. V. 1961 b Zh. Eksper. Tear. Fiz. 41, 394.Google Scholar
Von Mises, R. 1950 J. Aeronaut. Sci. 17, 551.CrossRefGoogle Scholar