Acta Mechanica

, Volume 126, Issue 1, pp 139–151

Shock propagation in gas dynamics: Explicit form of higher order compatibility conditions

  • M. P. Lazarev
  • R. Ravindran
  • P. Prasad
Original Papers

DOI: 10.1007/BF01172804

Cite this article as:
Lazarev, M.P., Ravindran, R. & Prasad, P. Acta Mechanica (1998) 126: 139. doi:10.1007/BF01172804

Summary

With the use of tensor analysis and the method of singular surfaces, an infinite system of equations can be derived to study the propagation of curved shocks of arbitrary strength in gas dynamics. The first three of these have been explicitly given here. This system is further reduced to one involving scalars only. The choice of dependent variables in the infinite system is quite important, it leads to coefficients free from singularities for all values of the shock strength.

Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  • M. P. Lazarev
    • 1
  • R. Ravindran
    • 2
  • P. Prasad
    • 2
  1. 1.Institute of the Physics of the EarthUSSR Academy of SciencesMoscowRussia
  2. 2.Department of MathematicsIndian Institute of ScienceBangaloreIndia