Turbulence modeling for non-isothermal flow in undeformable porous media

Resumo

Turbulent heat transport in porous media has been an extensively discussed issue in the pertinent literature. Recently, Rocamora and de Lemos (2000) have developed a macroscopic energy equation using the double decomposition concept presented by Pedras and de Lemos (2000). This development includes an extra term for the convective heat transport therein called turbulent thermal dispersion. This extra term arises from the spatial deviations and temporal fluctuations of both velocity and temperature. This work aims at proposing a gradient type diffusion model for the convective terms involving dispersion and turbulent heat flux. Also considered is the tortuosity derived from the diffusive term of the energy equation.