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A shock hodograph in collisionless plasma

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Abstract

In this paper, the shock hodograph (polar) for a collisionless transverse shock has been developed in the plane of the flow deflection angle and total pressure jump. The sonic point on the hodograph lies closer to the characteristic than to the point of maximum flow deflection for an attached shock. This hodograph is particularly useful in the analysis of three shock confluences and refraction of shock waves at gas interfaces. The first analysis is fully described in this paper. It is observed that the third shock wave is forward facing. It is pertinent to note that the limited region of supersonic flow also restricts the occurrences of three shock interactions.

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References

  1. Bestman, A. R.: 1975,J. Plasma Phys. 13, 107.

  2. Bestman, A. R.: 1977,J. Plasma Phys. 18, 189.

  3. Tidman, D. A. and Krall, N. A.: 1971,Shock Waves in Collisionless Plasma, Wiley-Interscience, New York.

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Alabraba, M.A., Bestman, A.R. A shock hodograph in collisionless plasma. Astrophys Space Sci 189, 57–62 (1992). https://doi.org/10.1007/BF00642952

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Keywords

  • Shock Wave
  • Refraction
  • Total Pressure
  • Maximum Flow
  • Supersonic Flow