On Thermal Stability Analysis for a Reacting Slab

Abstract

In this chapter, thermal stability analysis of the steady state exothermic chemical reaction in a slab of co mbustible material is investigated in the present of convective heat loss to the ambient. The nonlinear d ifferential equations governing the system are obtained and solved using perturbation technique together with a special type of Hermite-Padé series summation and improvement method. The effects of various embedded parameters on the temperature pro file and thermal stability of the system are p resented graphically and discussed quantitatively. The possibility of thermal runaway phenomena was shown and the corresponding thermal criticality values were obtained and illustrated on a bifurcation diagram. The results reveal the thermal stability crit icality as well as the effects of various embedded parameters on the system.

Thermal Stability Investigation in a Reactive Sphere of Combustible Material

“…is the density, is the specific heat at constant pressure, is the thermal conductivity of the material, is the heat of reaction, is the rate constant, and is the reactant concentration. We have also as Boltzmann's constant, V as the vibration frequency, as Planck's number, as the activation energy, and as the universal gas number; is the numerical exponent and takes the following values: −2 for sensitized (light induced), 0 for Arrhenius, and 1/2 for bimolecular kinetics; is the heat loss parameter [3,8,9].…”

“…Some veld fires are caused by stockpiles of combustible materials that have been left without attention for a long time. Some physical factors or parameters that influence the self-ignition process are combustible material particle size, volume-tosurface ratio, porosity, thermal conductivity, density, and heat capacity including convection in the surroundings [1][2][3]. The three groups, into which the parameters that influence self-ignition in stockpiles of combustible materials are distinguished, are outlined in [4].…”

Investigating Thermal Stability in a Two-Step Convective Radiating Cylindrical Pipe

“…Heat transfer and thermal stability have important applications in engineering and industrial equipment manufacturing. Some applications include, internal engine combustion and vehicle exhaust systems designs, cellulose storage, recovery of heavy oil, waste material incineration, and solids combustion [20].…”