Numerical Investigation of Mixed Convection Heat Transfer in a Lid-Driven Cavity with Two Embedded Rotating Cylinders Based on Immersed Boundary-Lattice Boltzmann Method

In this study, laminar mixed convection flow in a lid-driven cavity with two embedded rotating cylinders maintained at a hot temperature is examined. The upper wall of the enclosure is in motion and maintained at a cold temperature when the vertical walls are insulated. In this paper, the numerical method used is the lattice Boltzmann method (LBM). The numerical simulations are performed to investigate the Richardson number's effect on temperature/velocity fields and the rate of heat transfer. The immersed boundary method (IBM) is used to deal with the boundary conditions in complex geometries. It is found that for low Richardson number values, the natural convection mode is dominated by forced convection mode. In addition, increasing the Richardson number leads to a decrease in the rate of heat transfer.