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 [Combustion and flame, 72 (1988), pp. 311-323] and [Mathematical Modelling in Combustion Science, Lecture Notes is Physics, Vol. 249, Springer-Verlag, Berlin, New York, 1988, pp. 17-30] as well as the correct analysis of the problem for Arrhenius kinetics, originally considered by Wood and Kirkwood [J. Chem. Phys., 22 (1954), pp. 1920-1924] 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.
ASJC Scopus subject areas
- Applied Mathematics