The linear stability of a developing thermal front in a porous medium: The effect of local thermal non-equilibrium

A Nouri-Borujerdi, A R Noghrehabadi, D A S Rees

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10 Citations (Scopus)

Abstract

In this paper we analyze the stability of the developing thermal boundary layer which is induced by a step-change in the temperature of the lower horizontal boundary of a uniformly cold semi-infinite porous medium. Particular attention is paid to the influence of local thermal non-equilibrium between the fluid and solid phases and how this alters the stability criterion compared with corresponding criterion when the phases are in local thermal equilibrium. A full linear stability analysis is developed without approximation, and this yields a parabolic system of equations for the evolving disturbances. Criteria for the onset of convection are derived as a function of the three available nondimensional parameters, the inter-phase heat transfer coefficient, H, the porosity-scaled conductivity ratio, gamma, and the diffusivity ratio, alpha. (C) 2007 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)3090-3099
Number of pages10
JournalInternational Journal of Heat and Mass Transfer
Volume50
Issue number15-16
DOIs
Publication statusPublished - 2007

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