The relation between curvature, rate state-dependence, and detonation velocity

Journal Article · Fri Oct 01 00:00:00 EDT 1993 · SIAM Journal of Applied Mathematics (Society for Industrial and Applied Mathematics); (United States)

DOI:https://doi.org/10.1137/0153066· OSTI ID:5824586

Klein, R ^[1]; Stewart, D S ^[2]

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1. Inst. fuer Technische Mechanik, Aachen (Germany)
2. Univ. of Illinois, Urbana, IL (United States). Theoretical and Applied Mechanics

The paper considers the effect of rate state-dependence and curvature on detonation velocity and detonation structure in the quasi-one-dimensional limit. Extensions of prior results of Bdzil and Stewart and 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.

• OSTI ID: 5824586
• Journal Information: SIAM Journal of Applied Mathematics (Society for Industrial and Applied Mathematics); (United States), Journal Name: SIAM Journal of Applied Mathematics (Society for Industrial and Applied Mathematics); (United States) Vol. 53:5; ISSN SMJMAP; ISSN 0036-1399
• Country of Publication: United States
• Language: English

Related Subjects

45 MILITARY TECHNOLOGY, WEAPONRY, AND NATIONAL DEFENSE
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99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ARRHENIUS EQUATION
DETONATIONS
DYNAMICS
EQUATIONS
MATHEMATICAL MODELS
MECHANICS
MORPHOLOGY
SHOCK WAVES
VELOCITY