On the Critical Behaviour of Exothermic Explosions in Class A Geometries | Zendy

Mustapha ErRiani | Zendy; Khaled Chetehouna | Zendy

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On the Critical Behaviour of Exothermic Explosions in Class A Geometries

Author(s) -

Mustapha ErRiani,

Khaled Chetehouna

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/536056

Subject(s) - exothermic reaction , arrhenius equation , bifurcation , work (physics) , criticality , mathematics , slab , class (philosophy) , homotopy , thermodynamics , perturbation (astronomy) , mathematical analysis , statistical physics , classical mechanics , physics , pure mathematics , nonlinear system , kinetics , computer science , quantum mechanics , artificial intelligence , geophysics , nuclear physics

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

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