Approximate analytical solutions for strong shocks with variable energy
Abstract
Approximate analytical solutions are obtained for selfsimilar 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.
 Publication:

Indian Academy of Sciences Proceedings Mathematical Sciences
 Pub Date:
 September 1983
 Bibcode:
 1983InMS...92...19R
 Keywords:

 Detonation Waves;
 Energy Transfer;
 Gas Explosions;
 Gas Flow;
 Shock Wave Propagation;
 Adiabatic Flow;
 Analytic Functions;
 Cylindrical Waves;
 Ideal Gas;
 Similarity Theorem;
 Spherical Waves;
 Fluid Mechanics and Heat Transfer