Analysis of thermal stability in a convecting and radiating two-step reactive slab

Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
Abstract
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 ยด 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.
Description
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.
The original publication is available at https://journals.sagepub.com
Keywords
Heat, Heat -- Convection, Heat -- Radiation and absorption
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.