This paper examines the steady-state solutions of a strongly exothermic reaction of a viscous combustible material in a channel filled with a saturated porous medium under Arrhenius kinetics, neglecting reactant consumption. The Brinkman model is employed and analytical solutions are constructed for the governing nonlinear boundary-value problem using a perturbation technique together with a special type of Hermite-Padé approximants and important properties of the temperature field including bifurcations and thermal criticality are discussed.

Issue Section:
Technical Briefs
Keywords:
channel flow, flow through porous media, ignition, combustion, chemically reactive flow, boundary-value problems, perturbation theory, bifurcation, heat transfer, porous medium flows, arrhenius kinetics, hermite-Padé approximants, thermal criticality
Topics:
Bifurcation, Ignition, Porous materials, Boundary-value problems, Flow (Dynamics), Viscous flow, Temperature, Steady state
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Copyright © 2006
 by American Society of Mechanical Engineers
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