Statistical Treatment of Heterogeneous Chemical Reaction in Shock-Initiated Explosives

摘要

A statistical treatment is introduced for heterogeneities that influence the shock initiation of explosives. A shock forms locally heated regions or hot spots at heterogeneities that can become local reaction sites. Size distributions for hot spots and for local reactions sites are defined along with equations that evolve the distributions in time. Locally heated regions may either disappear (because of thermal diffusion) or thermally explode. The rate of explosion of hot spots is based on a distribution of hot spot temperatures. Reaction sites grow at the laminar burning velocity which is pressure dependent. Reaction is completed by coalescence of the sites. The model of heterogeneous reaction along with a homogeneous reaction is solved numerically in a one-dimensional hydrodynamic computer program. The model and some results are presented. (ERA citation 05:016420)