An analytical study of local thermal equilibrium in porous heat sinks using fin theory

Minimization of thermal resistance in an air cooled porous matrix made up of solid spheres with heat generation

“…He suggested that these constraints must be satisfied when the following conditions are imposed: the solid and fluid phases' thermal diffusivities ratio must equal, the thermal conductivities ratio must be equal, and the non-slip condition must hold. [17] and [18] developed LTE models for metallic foams porous channels where they respectively discovered that the LTE assumption was valid even if the solid thermal conductivity was markedly higher than that of the fluid, and developed an algorithm that does away with the need to conduct numerical calculations. Alazmi and Vafai [1] investigated the proper boundary condition to be used for a porous channel bounded by walls having a constant heat flux.…”

One-domain approach for heat transfer between a porous medium and a fluid

“…doi:10.1016/j.ijheatmasstransfer.2010.12.020 heterogeneous reactors [15], filtering, cooling and heating processes [16], geothermal energy management [17], among others) and that there is interest in the determinations of its extents and limitations. The necessary conditions for its application to convective heat transfer in homogeneous porous media are available from Whitaker [18] and previous numerical studies have been devoted to this matter [19][20][21]. The above is driven by the simplicity that this modeling approach provides with respect to the NLTE counterpart.…”

Thermal Non-Equilibrium Forced Convective Flow in an Annulus Filled with a Porous Medium

“…The only difference between these two models is whether the local thermal equilibrium is assumed or not. A substantial number of researchers [1][2][3] adopted the thermal equilibrium model to perform the theoretical and numerical investigations. Nevertheless, the local thermal equilibrium assumption between the solid and fluid phase is often inappropriate for a number of problems as pointed out by Carbonnel and Whitaker [4], Vafai and Sozen [5], Quintard and Whitaker [6,7], Quintard [8], Amiri and Vafai [9], Jiang et al [10], Jiang and Ren [11], Peterson and Chang [12], and Spiga and Morina [13], who recommended the use of local thermal non-equilibrium model.…”