Analysis of thermal stability in a convecting and radiating two-step reactive slab
CITATION: Makinde, O. D. & Tshehla, M. S. 2013. Analysis of thermal stability in a convecting and radiating two-step reactive slab. Advances in Mechanical Engineering, Article ID 294961, doi:10.1155/2013/294961.
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This paper investigates the combined effects of convective and radiative heat loss on thermal stability of a rectangular slab of combustible materials with internal heat generation due to a two-step exothermic chemical reaction, taking the diffusion of the reactant into account and assuming a variable (temperature dependent) preexponential factor. The nonlinear differential equation governing the transient reaction-diffusion problem is obtained and tackled numerically using a semidiscretization finite difference technique. A special type of Hermite-Pade approximants coupled with perturbation technique are employed to analyze the effects of ´ various embedded thermophysical parameters on the steady state problem. Important properties of the temperature field including thermal stability conditions are presented graphically and discussed quantitatively.