Astrophysics and Space Science

, Volume 125, Issue 2, pp 379–390 | Cite as

The motion of the cylindrical-symmetrical relativistic shock wave in the presence of an axial magnetic field

  • Shi Chang Chun
Article
  • 32 Downloads

Abstract

Some observed astrophysical phenomena, such as the blast of a supernova, suggest the necessity to study the motion of shock waves in a relativistic fluid flow in the presence of a magnetic field. This paper deals with the motion of a special relativistic shock wave which propagates from the center line outwardly after an explosion with the assumption that the magnetic field which has an axial component only. Similarity solutions which depend on the parameter ξ=r/t are constructed. Two special cases are then studied in detail. In the first case, there is an ultrarelativistic fluid in front of the shock and in the second case, there is a cold fluid in front of the shock.

Keywords

Magnetic Field Shock Wave Fluid Flow Center Line Similarity Solution 

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References

  1. Blandford, R. D. and McKee, C. F.: 1976,Phys. Fluids 19, 1130.Google Scholar
  2. Blandford, R. D., McKee, C. F., and Rees, M. J.: 1977,Nature 267, 211.Google Scholar
  3. Deb Ray, G.: 1979,Astrophys. Space Sci. 61, 81.Google Scholar
  4. Deb Ray, G. and Chakraborty, T. K.: 1979,Astrophys. Space Sci. 61, 101.Google Scholar
  5. Eltgroth, P. G.: 1971,Phys. Fluids 14, 2631.Google Scholar
  6. Eltgroth, P. G.: 1972,Phys. Fluids 15, 2153.Google Scholar
  7. Lichnerowicz, A.: 1967,Relativistic Hydrodynamics and Magnetohydrodynamics, W. A. Benjamin Inc., New York.Google Scholar
  8. Mathews, W. G.: 1971,Astrophys. J. 165, 147.Google Scholar
  9. Shapiro, P. R.: 1979, The 153rd Meeting of the American Astronomical Society.Google Scholar
  10. Vitello and Salvati: 1976,Phys. Fluids 19, 1523.Google Scholar
  11. Weinberg, S.: 1972,Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, John Wiley and Sons Inc., New York.Google Scholar
  12. Zeldovich, Y. B. and Novikov, I. D.: 1966,Relativistic Astrophysics II, Vol. II, Univ. of Chicago Press, Chicago.Google Scholar

Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • Shi Chang Chun
    • 1
  1. 1.Department of MechanicsPeking UniversityBeijingChina

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