On the Critical Behaviour of Exothermic Explosions in Class A Geometries

Mustapha Er-Riani (1) , Khaled Chetehouna (2)

1 Department of Mathematics, LMPMH, Faculty of Sciences and Techniques
2 PRISME - Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique

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.

Domaines: Génie des procédés

Mustapha Er-Riani, Khaled Chetehouna. On the Critical Behaviour of Exothermic Explosions in Class A Geometries. Mathematical Problems in Engineering, 2011, 2011 (Article ID 536056), 14 p. ⟨hal-00652740⟩