Effects of interstitial exchange parameters on the thermal field in a porous channel with heat generation and local thermal non equilibrium

Abstract

Paper presented at the 9th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Malta, 16-18 July, 2012.The main objective of this work is to examine the effect of both the solid heat generation ratio, the Biot number and the thermal conductivities ratio on the temperature distributions of both fluid and solid phases and also on the local thermal non equilibrium condition as function of the transverse position and for different section of a porous channel by moving from the inlet to the outlet. The dynamic field in the channel is calculated using the Darcy-Brinkman model and the thermal field is described by the two temperature equations model, which takes into account the local thermal non equilibrium between the two phases by including the interstitial heat transfer between the fluid and solid phases. The results which emerged from this study mainly revealed that the temperature difference profiles of the two phases change along the channel except for high values of Biot number and conductivity ratio, where they remain almost constant far from the inlet. Moreover, the local thermal equilibrium is fully achieved in the entire channel when the Biot number is high and the conductivity ratio is low, while, conversely, the local thermal non equilibrium is strongly pronounced on the whole field for small values of interstitial Biot number and conductivity ratio.