Exothermic explosions in a slab: A case study of series summation technique

This paper examine the steady-state solutions for the strongly exothermic decomposition of a combustible material uniformly distributed between symmetrically heated parallel plates under Bimolecular, Arrhenius and Sensitised reaction rates, neglecting the consumption of the material. Analytical solu...

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Bibliographic Details
Published in:International communications in heat and mass transfer 2004-11, Vol.31 (8), p.1227-1231
Main Author: Makinde, O.D.
Format: Article
Language:English
Subjects:
Applied sciences
Combustion. Flame
Energy
Energy. Thermal use of fuels
Exact sciences and technology
Miscellaneous
Theoretical studies. Data and constants. Metering
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Summary:This paper examine the steady-state solutions for the strongly exothermic decomposition of a combustible material uniformly distributed between symmetrically heated parallel plates under Bimolecular, Arrhenius and Sensitised reaction rates, neglecting the consumption of the material. Analytical solutions are constructed for the governing nonlinear boundary-value problem using perturbation technique together with a special type of Hermite-Padé approximants and important properties of the temperature field including bifurcations and thermal criticality are discussed.
ISSN:0735-1933
1879-0178
DOI:10.1016/j.icheatmasstransfer.2004.08.020