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On the Critical Behaviour of Exothermic Explosions in Class A Geometries

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  • Mustapha Er-Riani
  • Khaled Chetehouna

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.

Suggested Citation

  • Mustapha Er-Riani & Khaled Chetehouna, 2011. "On the Critical Behaviour of Exothermic Explosions in Class A Geometries," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-14, August.
    • Handle: RePEc:hin:jnlmpe:536056
    DOI: 10.1155/2011/536056
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