Thermal explosion analysis of a strong exothermic chemical reaction withudvariable pre-exponential factor in a spherical vessel

摘要

This study is devoted to investigate the analysis of thermal explosion of a strong exothermicudchemical reaction with variable pre-exponential factor in a spherical vessel. The steady stateudsolutions for strong exothermic decomposition of a combustible material uniformly distributed in audheated spherical vessel under Bimolecular, Arrhenius and Sensitised reaction rates. Analyticaludsolutions are constructed for the governing nonlinear boundary-value problem using perturbationudtechnique together with a special type of Hermite-Padé approximants and important properties ofudthe temperature field including bifurcations and thermal criticality are discussed.