Weak shock waves in real cases
Abstract
It is generally and exactly proved with few simplifying assumptions that a shock wave in a gas with slow internal modes of energy is fully dispersed if the wave speed lies between the equilibrium and frozen speeds of sound. An analytical solution for the vibrational relaxation region in the fully dispersed shock waves has been obtained by assuming a constant relaxation time and by assuming perturbation expansions of flow parameters in powers of a small parameter. In addition, an approximate expression is given for the thickness of the fully dispersed shock waves.
 Publication:

Theoretical and Applied Mechanics. Volume 22
 Pub Date:
 1974
 Bibcode:
 1974tam....22..439I
 Keywords:

 Compression Waves;
 Diatomic Gases;
 Molecular Relaxation;
 Propagation Velocity;
 Shock Wave Propagation;
 Wave Dispersion;
 Acoustic Velocity;
 Flow Equations;
 Gas Flow;
 Internal Energy;
 Relaxation Time;
 Fluid Mechanics and Heat Transfer