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Magnetohydrodynamic shock waves in non-aligned flow

Published online by Cambridge University Press:  13 March 2009

Shigeki Morioka  and
John R. Spreiter
Shigeki Morioka
Affiliation:
Space Sciences Division, Ames Research Center, NASA, Moffett Field, California 94035
John R. Spreiter
Affiliation:
Space Sciences Division, Ames Research Center, NASA, Moffett Field, California 94035
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Abstract

The steady shock dicontinuity in the flow of a perfectly conducting gas with anarbitrarily oriented magnetic field is considered by taking as the parameters the Mach number, the Alfvén Mach number, the magentic field direction, and the shock angle. The shock solutions satisfying the conservation laws as well as the entrophy and evolutionary conditions are given by the roots of a simple cubic equation and the associated formulas. Several special cases are discussed analytically and numerically. The possible types of magnetohydrodynamic shock waves are shown on the speed-deflexion phase plane, and the possible shock configurations in the physical space are discussed on the basis of them.

Type
Research Article
Information
Journal of Plasma Physics , Volume 3 , Issue 1 , February 1969 , pp. 81 - 96
Copyright
Copyright © Cambridge University Press 1969

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References

REFERENCES

Anderson, J. E. 1963 Magnetohydrodynamic Shock Waves. M.I.P. Press.Google Scholar
Jeffrey, A. & Taniuti, T. 1964 Non-linear Wave Propagation. Academic Press.Google Scholar
Kogan, M. N. 1956 J. Appl. Math. Mech. 23, 784.Google Scholar
Lyn, Y. M. 1966 Phys. Fluids 9, 314.Google Scholar
Polovin, R. V. 1961 Soviet Phys.-Uspekhi 3, 677.CrossRefGoogle Scholar
Shercliff, J. A. 1960 J. Fluid Mech. 9, 481.Google Scholar
Urashima, S. & Morioka, S. 1966 J. Phys. Soc. Japan 21, 1431.CrossRefGoogle Scholar