Numerical study of an exothermic reaction with convective boundary conditions. (English) Zbl 1488.65404
Summary: In this work, we used 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.
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 80A19 | Diffusive and convective heat and mass transfer, heat flow |
