EXOTHERMIC EXPLOSIONS IN SYMMETRIC GEOMETRIES: AN EXPLOITATION OF PERTURBATION TECHNIQUE

摘要

In this paper, the steady-state solutions for the strongly exothermic decomposition of a combustible material uniformly distributed in heated symmetrical geometries under Arrhenius kinetics, 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 of Hermite-Pade approximants and important properties of the temperature field including bifurcations and thermal criticality are discussed.