Numerical Investigation of Heat Transfer of Non-Newtonian Fluid in a Porous Medium

In this paper, the lattice Boltzmann method (LBM) has been used for study of fluid flow and forced convection heat transfer between two parallel plates, which partially filled by porous medium. Porous medium with regular arrangement of square obstacles has been created to provide pore-scale study of complex flows. Despite the heavy use of LBM, the study of heat transfer with partial arrangement of porous material and the thermal lattice Boltzmann are new jobs in this paper. Two different power-law fluids, shear thinning and shear thickening, with three different square blocks between two parallel plates are investigated. Effect of Reynolds number on the ve-locity and temperature profiles and also Nusselt number are examined. Also vortex generated behind the obstacles in the porous medium are shown by term of the Reynolds number and its effect on heat transfer is studied. Fixed obstacles in the computational domain as a porous medium, lead to increment the average Nusselt number and also reduction the power index and increment the number of obstacles can be improved the heat transfer.