TY - JOUR
T1 - The linear stability of a developing thermal front in a porous medium: The effect of local thermal non-equilibrium
AU - Nouri-Borujerdi, A
AU - Noghrehabadi, A R
AU - Rees, D A S
N1 - ID number: ISI:000247047600023
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
U2 - 10.1016/j.ijheatmasstransfer.2007.01.005
DO - 10.1016/j.ijheatmasstransfer.2007.01.005
M3 - Article
SN - 0017-9310
VL - 50
SP - 3090
EP - 3099
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
IS - 15-16
ER -