Relation between curvature, rate state-dependence, and detonation velocity

Rupert Klein, D. Scott Stewart

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)1401-1435
Number of pages35
JournalSIAM Journal on Applied Mathematics
Issue number5
StatePublished - 1993
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics


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