TY - JOUR

T1 - Relation between curvature, rate state-dependence, and detonation velocity

AU - Klein, Rupert

AU - Stewart, D. Scott

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

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U2 - 10.1137/0153066

DO - 10.1137/0153066

M3 - Article

AN - SCOPUS:0027678656

VL - 53

SP - 1401

EP - 1435

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 5

ER -