Acta Mechanica

, Volume 73, Issue 1–4, pp 239–244

A note on the equivalence of shock manifold equations

  • R. Roy
  • R. Ravindran

DOI: 10.1007/BF01177043

Cite this article as:
Roy, R. & Ravindran, R. Acta Mechanica (1988) 73: 239. doi:10.1007/BF01177043


The shock manifold equation is a first order nonlinear partial differential equation, which describes the kinematics of a shockfront in an ideal gas with constant specific heats. However, it was found that there was more than one of these shock manifold equations, and the shock surface could be embedded in a one parameter family of surfaces, obtained as a solution of any of these shock manifold equations. Associated with each shock manifold equation is a set of characteristic curves called ‘shock rays’. This paper investigates the nature of various associated shock ray equations.

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • R. Roy
    • 1
  • R. Ravindran
    • 1
  1. 1.Department of Applied MathematicsIndia Institute of ScienceBangaloreIndia

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