Approximate analytical solutions for strong shocks with variable energy

  • M P Ranga Rao
  • G Narasimhulu Naidu


Approximate analytical solutions are obtained for self-similar flows behind strong shocks with variable energy deposition or withdrawal at the wavefront in a perfect gas at rest with constant initial density. Numerical solutions are also obtained and the approximate solutions agree with these solutions. The effect of the adiabatic index on the solutions is investigated. The dependence of shock density ratio on the parameter characterizing the energy of the flow is studied. It is observed that the rate of deposition of energy at the wavefront decreases with increase of the parameter that specifies the total energy of the flow.


Strong shocks self-similar flows variable energy approximate analytical solutions 


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  1. [1]
    Barenblatt G I, Guirguis R H, Kamel M M, Kuhl A L, Oppenheim A K and Zeldovich Ya B 1980J. Fluid Mech. 99 841CrossRefMathSciNetGoogle Scholar
  2. [2]
    Dabora E K 1972AIAA. J. 10 1384CrossRefGoogle Scholar
  3. [3]
    Freeman R A 1968J. Phys. D. 1 1697CrossRefGoogle Scholar
  4. [4]
    Laumbach D D and Probstein R F 1969J. Fluid Mech. 35 53CrossRefGoogle Scholar
  5. [5]
    Ranga Rao M P and Ramana B V 1973Int. J. Eng. Sci. 11 1035CrossRefGoogle Scholar
  6. [6]
    Rogers M H 1958Q. J. Mech. Appl. Math. 11 411MATHCrossRefGoogle Scholar
  7. [7]
    Wilson C R and Turcotte D L 1970J. Fluid Mech. 43 399CrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 1983

Authors and Affiliations

  • M P Ranga Rao
    • 1
  • G Narasimhulu Naidu
    • 1
  1. 1.Department of MathematicsIndian Institute of TechnologyBombayIndia

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