Transient Heat Analysis in a Spherical Domain of Combustible Material

Abstract

Analysis of transient heat in a stockpile of combustible material modelled in a spherical domain is considered in this article. The sphere loses heat by convection to the atmosphere due to exothermic chemical reaction taking place in the reactive stockpile. The complicated chemical reaction taking place in this problem is tackled by assuming a one-step finite rate irreversible Arrhenius kinetics. The differential equation governing the problem is solved numerically by using the FDM (finite difference method) that is very essential for spatial derivatives discretization. The transient heat is analyzed for various thermo-physical parameters embedded in the system and the results are discussed accordingly.