On the Critical Behaviour of Exothermic Explosions in Class A Geometries

Mustapha Er-Riani and Khaled Chetehouna

Mathematical Problems in Engineering, 2011, vol. 2011, 1-14

Abstract:

The aim of this work is to apply the homotopy perturbation method for solving the steady state equations of the exothermic decomposition of a combustible material obeying Arrhenius, Bimolecular, and Sensitised laws of reaction rates. These equations are formulated on some Class A geometries (an infinite cylinder, an infinite slab, and a sphere). We also investigate the effect of Frank-Kamenetskii parameter on bifurcation and thermal criticality by means of the Domb-Sykes graphical method.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:536056

DOI: 10.1155/2011/536056

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