Relation between curvature rate state-dependence and detonation velocity

The paper considers the effect of rate state-dependence and curvature on detonation velocity and detonation structure in the quasi-steady quasi-one-dimensional limit. Extensions of prior results of Bdzil and Stewart as well as the correct analysis of the problem for Arrhenius kinetics, originally considered by Wood and Kirkwood are given. New formulas for large activation energy are obtained. The latter half of the paper provides a derivation of the relevant front evolution equations and of the simplified asymptotic equations using Whitham’s shock ray coordinates.DOE LANL 9 XG 83831 P 1 91/0