Analytical investigation of heat transfer enhancement in a channel partially filled with a porous material under local thermal non-equilibrium condition: Effects of different thermal boundary conditions at the porous-fluid interface

Abstract

Mahmoudi, Yasser, Karimi, Nader, and Mazaheri, Kiumars (2014) Analytical investigation of heat transfer enhancement in a channel partially filled with a porous material under local thermal non-equilibrium condition: Effects of different thermal boundary conditions at the porous-fluid interface. International Journal of Heat and Mass Transfer, Copyright © 2013 Elsevier Ltd.A copy can be downloaded for personal non-commercial research or study, without prior permission or charge Content must not be changed in any way or reproduced in any format or medium without the formal permission of the copyright holder(s)

Heat transfer and second law analyses of forced convection in a channel partially filled by porous media and featuring internal heat sources

“…(3b) and (3c) are equivalent to model A of Yang and Vafai [31], which has been also used in the investigations of partially filled channels [16,29]. It is emphasised here that previous works [14][15][16] have demonstrated that the choice of porous-fluid boundary condition has significant effects upon the thermal behaviour of the system. In order to make analytical progress with the energy equations (2a) and (2b), their left hand sides should be evaluated.…”

“…The latter, however, is regarded as local thermal non-equilibrium (LTNE), or two-energy equation model [11,12]. Although LTE model [11] has been used extensively in heat transfer analyses [11], LTNE model is receiving an increasing attention from the research community [13][14][15][16]. This stems from the fact that in the emerging fields such as MEMS and biotechnology as well as some classical areas, such as chemical and nuclear engineering, the accuracy of the analysis is of primary importance [12,17].…”

“…Yet, the pumping power and the consequent expenses are maintained within a reasonable range. These attractive features have resulted in a significant number of published studies on the thermal aspects of partially filled systems, see for example [14][15][16]29]. In the partially filled systems, the thermal boundary condition of the interface of the porous material and clear fluid poses a fundamental difficulty.…”

Theoretical investigation of entropy generation and heat transfer by forced convection of copper–water nanofluid in a porous channel — Local thermal non-equilibrium and partial filling effects

“…While a number of interface models have been developed, some of them are more 38 widely used [40]. Yet, there is no generally preferred porous-fluid or solid interface model and the final choice different interface models to detect the similarities and disparities between their predictions [37,42].…”

First and second law analyses of nanofluid forced convection in a partially-filled porous channel – The effects of local thermal non-equilibrium and internal heat sources

“…[50] for ordinary fluids. Further, in the presence of thermal source terms the temperature fields predicted by the current derivations for φ=0 appear to be identical to those of 1 Ref.…”