Olanrewaju, P. O. and Eegunjobi, A. S. and Owoloko, E. A.
(2010)
EFFECT OF GOEMETRY ON THE ANALYSIS OF THERMAL EXPLOSION OF A STRONGLY EXOTHERMIC CHEMICAL REACTONS.
Journal of Mathematics and Technology.
ISSN 2078-0257
Abstract
This study is devoted to investigate the effect of geometry on thermal explosion of a strong exothermic chemical reaction with variable pre-exponential factor under Bimolecular, Arrhenius and Sensitised reaction rate,
neglecting the consumption of the material are examined. Analytical solutions are constructed for the governing
nonlinear boundary-value problem using perturbation technique together with a special type Hermite-pade
approximation and important properties of the temperature field including bifurcations and thermal criticality are
discussed. It is shown that temperature field is highly influenced by the geometry.
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