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Asymptotic theory of ignition and failure of self-sustained detonations

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Title: Asymptotic theory of ignition and failure of self-sustained detonations
Author(s): Kasimov, Aslan R.; Stewart, D. Scott
Subject(s): Detonation waves Ignition failure
Abstract: Based on a general theory of detonation waves with an embedded sonic locus that we have previously developed, we carry out asymptotic analysis of weakly curved slowly varying detonation waves and show that the theory predicts the phenomenon of detonation ignition and failure. The analysis is not restricted to near Chapman– Jouguet detonation speeds and is capable of predicting quasi-steady, normal detonation shock speed versus curvature (D–κ) curves with multiple turning points. An evolution equation that retains the shock acceleration, ˙D, namely a ˙D–D–κ relation is rationally derived which describes the dynamics of pre-existing detonation waves. The solutions of the equation for spherical detonation are shown to reproduce the ignition/failure phenomenon observed in both numerical simulations of blast wave initiation and in experiments. A single-step chemical reaction described by one progress variable is employed, but the kinetics is sufficiently general and is not restricted to Arrhenius form, although most specific calculations are performed for Arrhenius kinetics. As an example, we calculate critical energies of direct initiation for hydrogen– oxygen mixtures and find close agreement with available experimental data.
Issue Date: 2005
Publisher: Cambridge University Press
Citation Info: Aslan R. Kasimov and D. Scott Stewart. Asymptotic theory of ignition and failure of self-sustained detonations. Journal of Fluid Mechanics, v 525,2005, p 161-192
Genre: Article
Type: Text
Language: English
DOI: 10.1017/S0022112004002599
Publication Status: published or submitted for publication
Peer Reviewed: is peer reviewed
Rights Information: Copyright owned by Cambridge University Press
Date Available in IDEALS: 2007-05-02
Has Version(s): Also published as: TAM Reports 1042;

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