Numerical treatment of an exothermic reaction model with convective boundary conditions

摘要

In this work, we shall use a finite element method to solve the boundary value problem governing the ignition of a solid reactant undergoing slow oxidation for some non-class A geometries (infinite square rod and cube). We also examine the effect of Frank-Kamenetskii parameter on bifurcation and thermal stability by means of the block Lanczos method.