Shock Waves

, Volume 6, Issue 1, pp 29–39 | Cite as

Conical Mach reflection of moving shock waves

Part 1: Analytical considerations
  • B. E. Milton
  • R. D. Archer


Conical Mach reflections differ from those of the equivalent plane, two-dimensional Mach reflection because in axisymmetry, the disturbances generated at the reflecting surface are modified by their more rapidly increasing or decreasing area as they move towards or away from the centerline. Equations for conical Mach reflection cases have now been developed using a simplified ray-shock theory formulation based on the initial assumption that the stem is straight and normal to the wall. These are in a form that applies generally. Their simple structure provides an easy conceptual understanding of self-similarity and non-self-similarity as well as a clear mathematical approach for the development of the curved triple-point locus of the latter by integration. They provide a quick and direct solution in all cases and can easily incorporate the Mach stem curvature by progressively calculating the new ray direction. A range of cases has been considered and results are presented for converging and diverging, self-similar and non-self-similar cases.

Key words

Conical Mach reflection Axisymmetric shocks Triple-point locus curvature 


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Copyright information

© Springer Verlag 1996

Authors and Affiliations

  • B. E. Milton
    • 1
  • R. D. Archer
    • 1
  1. 1.School of Mechanical and Manufacturing EngineeringUniversity of New South WalesSydneyAustralia

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