Numerical Evaluation via Lattice Boltzmann Method to Analyze of Entropy Generation due to Conjugate Mixed Convection Heat Transfer of Non-Newtonian Nanofluid under the Influence of Magnetic Field

The purpose of this analysis using lattice Boltzmann method (LBM) is to investigate the matter with which strategies can be used to control the amount of heat transfer and entropy formation. For this goal, the mixed convection heat transfer of non-Newtonian nanofluid under the impact of the magnetic field inside the square chamber containing the conductor wall has been analyzed. The results depicted that the flow characteristics and heat transfer are strongly affected by changing the position in these places. If the magnetic field is applied at the same location as the speed application position, the effect of increasing the Hartmann number in reducing the average Nusselt number becomes more evident. In order to have the highest value of Nusselt number, CASE3 should be considered, however, the greatest impact of magnetic field on fluid flow was observed for CASE2. By increasing the distance between the conductive wall and the moving wall, the average Nusselt number increases up to 1.5 times. By decreasing the thermal conductivity ratio from 10 to 0.5, the average Nusselt number decreases to about 55%. The entropy value has a direct/inverse relationship with the Richardson number/power-law index.