V. Travkin et I. Catton, A 2-TEMPERATURE MODEL FOR TURBULENT-FLOW AND HEAT-TRANSFER IN A POROUS LAYER, Journal of fluids engineering, 117(1), 1995, pp. 181-188
A new model of turbulent flow and of two-temperature heat transfer in
a highly porous medium is evaluated numerically for a layer of regular
packed particles. The layer can have heat exchange from the defining
surfaces. The commonly used models of variable morphology functions fa
r porosity and specific surface were used to obtain comparisons with o
ther works in a relatively high Reynolds number range. A few outstandi
ng features of the closure models for additional integral terms in equ
ations of flow and heat transfer are advanced. Closures were developed
for capillary and globular medium morphology models. It is shown that
the approach taken to close the integral resistance terms in the mome
ntum equation for a regular structure can be obtained in a way that al
lows the second order terms for laminar and turbulent regimes to natur
ally occur. These terms are taken to be close to the Darcy term or For
chheimer terms for different flow velocities. The two-temperature mode
l was compared with a one-temperature model using thermal diffusivity
coefficients and effective coefficients from various authors. Calculat
ed pressure drop along a layer showed very good agreement with experim
ent for a porous structure of spherical beads. A simplified model with
constant coefficients was compared with analytical solutions.