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.
|Number of pages||10|
|Journal||International Journal of Heat and Mass Transfer|
|Publication status||Published - 2007|
Nouri-Borujerdi, A., Noghrehabadi, A. R., & Rees, D. A. S. (2007). The linear stability of a developing thermal front in a porous medium: The effect of local thermal non-equilibrium. International Journal of Heat and Mass Transfer, 50(15-16), 3090-3099. https://doi.org/10.1016/j.ijheatmasstransfer.2007.01.005