Simulation of Free and Force Mixed Convection Heat Transfer in an Inclined Lid Driven Enclosure by Lattice Boltzmann Method

Mixed convection of free and force convection heat transfer in an inclined lid driven two dimensional enclosure is studied by using Lattice Boltzmann method (LBM) in different values of inclination angle، Richardson (Ri) and Prandtl numbers (Pr). At present case، the velocity components will be affected by inclination angle، force and free convection movements. To do this، using LBM equations are modified. Comparing present results with those of other available ones implies appropriate accuracy. Results are shown as velocity، temperature and Nusselt number profiles and contours of isotherms and streamlines. It is seen that more Pr corresponds to more heat transfer rate especially at higher values of inclination angle and Ri. As a result، to estimate the averaged Nusselt number، a correlation based on Pr، Ri and inclination angle is presented. Moreover، it is seen that the averaged Nusselt number at the upper limit of the considered range of inclination angle، Richardson and Prandtl numbers variability increases by a factor of 7.