• An approximate solution for spherical and cylindrical piston problem

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      https://www.ias.ac.in/article/fulltext/pmsc/110/01/0103-0115

    • Keywords

       

      Shock dynamics; compatibility conditions; blast wave; weak shock propagation

    • Abstract

       

      A new theory of shock dynamics (NTSD) has been derived in the form of a finite number of compatibility conditions along shock rays. It has been used to study the growth and decay of shock strengths for spherical and cylindrical pistons starting from a non-zero velocity. Further a weak shock theory has been derived using a simple perturbation method which admits an exact solution and also agrees with the classical decay laws for weak spherical and cylindrical shocks.

    • Author Affiliations

       

      S K Singh1 V P Singh1

      1. Centre for Aeronautical System Studies and Analyses, New Thippasandra P. O., Bangalore - 560075, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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