Influence of dimension variations of a fin and wall emissivity on the nanofluids flow inside a square cavity using the two-phase Lattice Boltzmann method

One of the numerical methods to study nanofluids (NFs) flow is the two-phase Lattice Boltzmann method (LBM). In this research, the NFs flow inside a square cavity (SQC) is examined using the LBM. The two cases of NFs flow inside a SQC with a fin are studied. The walls are at a low temperature on the left and right sides of the chamber, and the fin at the center of the chamber is always at a high temperature. The fin is placed horizontally and vertically and its effect on the flow is assessed by changing its fin length (L-F). The radiation (RD) equations are considered, while the horizontal walls of the SQC are insulated. It is found that the heat transfer (HTR) is enhanced with the L-F for both horizontal and vertical situations. For the vertical fin (VFN), the vortices are stronger than that for the horizontal fin (HFN), leading to more HTR. On the other hand, as the emissivity of the walls is intensified, the Nusselt number (Nu) is reduced, the RD Nusselt number is enhanced, and the overall Nu is increased.