A nonsimilar solution for blast waves by an asymptotic piston expansion
Abstract
An analytical technique is outlined for predicting the blast wave from a rapid but asymptotic expansion of an inner pistonlike surface. The method more accurately describes real blasts compared to conventional point source models and agrees favorably with the exact method of characteristic solution for wave Mach numbers exceeding approximately 1.1. The method makes two a priori assumptions: (1) that the blast wave density can be described by a power law, and (2) that an equation exists for the motion of the driving piston. The present treatment extends the work of Bach and Lee, who assume a zero radius piston (i.e., a point source).
 Publication:

Final Report Ballistic Research Labs
 Pub Date:
 June 1983
 Bibcode:
 1983brla.rept.....B
 Keywords:

 Asymptotic Series;
 Detonation Waves;
 Differential Equations;
 Shock Waves;
 Solutions;
 Combustion;
 Gases;
 Mathematical Models;
 Pistons;
 Fluid Mechanics and Heat Transfer