RÉSUMÉ

To predict turbulent heat transfer in porous media, double (volume and Reynolds) averaged transport equations are considered. In the double averaged energy equation, the dispersion heat flux, the volume averaged turbulent heat flux, which is split into the macro-scale and the micro-scale turbulent fluxes, and the energy exchange terms (wall heat transfer and tortuosity) between fluid and solid phases come out. For obtaining the thermal fields, an improved twoenergy equation model, which solves the energy equations of solid and fluid phases, is developed to consider nonequilibrium energy fields in porous media. Coupled with the multi-scale second moment closure for flow fields, algebraic models of the volume averaged turbulent heat flux and wall heat transfer terms are discussed. The proposed models are evaluated in the thermal fields of fully developed square rod array flows where the dispersion heat flux and the tortuosity are absent. The results suggest that the present models are promising for both conjugate and isothermal heat transfer conditions at the solid surfaces.