Computational analysis of CO2 emission, O2 depletion and thermal decomposition in a cylindrical pipe filled with reactive materials

Thermal decomposition analysis in a sphere of combustible materials

“…14 In this article, the investigation of selfignition in a spherical domain of combustible materials is investigated. A similar study was investigated in a reactive slab in Makinde et al, 15 and in Chinyoka and Makinde, 16 the study was done using a long cylindrical pipe. In section ''Mathematical formulation,'' we consider the mathematical formulation and the relevant numerical methods are described in section ''Numerical method.''…”

“…A spherical domain of combustible material with constant thermal conductivity k is considered. A one-step finite irreversible Arrhenius kinetics with convective heat loss to the ambient is assumed, and it is described by the formula 8,15,16…”

“…Following 15,16 the nonlinear partial differential equations (PDEs) describing temperature, oxygen concentration and carbon dioxide emission in the combustible material can be written as…”

Thermal Stability Investigation in a Reactive Sphere of Combustible Material

“…Following [5], the semi-implicit finite difference scheme is applied where implicit terms are taken at intermediate time level ( + ) for 0 ≤ ≤ 1. In this investigation, we use = 1 to enable use of larger time steps that allow working with any value of the time step.…”

“…Exothermic chemical reaction taking place in a reactive stockpile results in heat generation. Should the heat generation within a stockpile exceed heat loss to the ambient surroundings, thermal instability and runaway leading to self-ignition may occur [5][6][7]. Thermal explosion criticality concept was investigated by Frank-Kamenetskii and he also developed the steady state theory for combustion of reactive materials due to exothermic chemical reaction [8].…”