Evolution of a Reaction Center in an Explosive Material

DOI10.1137/0149027zbMath0673.76080OpenAlexW2072756096MaRDI QIDQ3827717

A. K. Kapila, Thomas L. Jackson, D. Scott Stewart

Publication date: 1989

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2142/112225

zbMATH Keywords

combustiondetonationhot spotself-similar structuresArrhenius kineticsactivation-energy asymptoticsCombusion wavesignition in explosive systemstemporal evolution of a reaction center

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Chemically reacting flows (80A32)

Related Items (16)

Influence of smooth temperature variation on hotspot ignition ⋮ Asymptotic Analysis of Reacting Materials with Saturated Explosion. I. Low-Frequency Waves ⋮ Blow-up in semilinear parabolic equations with weak diffusion ⋮ Ignition of thermally sensitive explosives between a contact surface and a shock ⋮ Acoustic timescale characterisation of symmetric and asymmetric multidimensional hot spots ⋮ Acoustic timescale characterisation of a one-dimensional model hot spot ⋮ Weak detonations, their paths and transition to strong detonation ⋮ Mechanisms of detonation formation due to a temperature gradient ⋮ Shock-to-detonation transition: A model problem ⋮ A nonlinear nonlocal wave equation arising in combustion theory ⋮ An approximate model for the ignition of reactive materials by a hot spot with reactant depletion. ⋮ Influence of compressibility on propagation of curved flames ⋮ Fast, non-diffusive ignition of a gaseous reacting mixture subject to a point energy source ⋮ Theoretical analysis on the transient ignition of a premixed expanding flame in a quiescent mixture ⋮ The Zeldovich spontaneous reaction wave propagation concept in the fast/modest heating limits ⋮ Wave propagation at high dissociation temperatures

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