Olanrewaju, P. O.
Thermal explosion analysis of a strong exothermic chemical reaction with
variable pre-exponential factor in a spherical vessel.
AMERICAN JOURNAL OF SCIENTIFIC AND INDUSTRIAL RESEARCH.
This study is devoted to investigate the analysis of thermal explosion of a strong exothermic
chemical reaction with variable pre-exponential factor in a spherical vessel. The steady state
solutions for strong exothermic decomposition of a combustible material uniformly distributed in a
heated spherical vessel under Bimolecular, Arrhenius and Sensitised reaction rates. 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.
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