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    • Keywords


      Strong shocks; self-similar flows; variable energy; approximate analytical solutions

    • Abstract


      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.

    • Author Affiliations


      M P Ranga Rao1 G Narasimhulu Naidu1

      1. Department of Mathematics, Indian Institute of Technology, Powai, Bombay - 400 076, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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