Abstract: Forced convection heat transfer inside a porous micro duct is performed to investigate the effects of porous material on the heat transfer rate. The flow in the porous material is described by the Darcy- Brinkman- Forchheimer model. The assumption of local thermal non equilibrium (LTNE) condition is adopted for heat transfer and viscous dissipation effects are included in the energy equation of the fluid phase. The obtained governing equations are solved using the Lattice Boltzmann Method (LBM). Knudsen, Eckert and Darcy numbers are selected as the influence parameters. The computational simulations are done for different Knudsen numbers (Kn ), Darcy number ( Da) and Eckert number ( Ec). It is found that both fluid and solid temperatures increases as the Kn decreases, Da decreases and Ec increases. However, the augmentation in Da is related to the important fluid friction effects which decrease the temperature gradient.

Key words: Porous media, Local thermal non-equilibrium, Lattice Boltzmann Method, micro duct.