Effect of Insulated up and Down Lid Motion on the Heat Transfer of a Lid-Driven Cavity with an Attached Fin

This study investigates the effect of lid motion on the optimal characteristics a thin rectangular fin attached on the hot wall of a square lid-driven cavity with active vertical walls. The optimal fin position is studied for Richardson numbers of 0.1-10. The effect of mounting a rectangular fin with a thermal conductivity of 1 and 1000 on minimization and maximization of heat transfer through such cavity is explored. Mixed convection equations are solved using the control volume method with the help of the SIMPLER algorithm. The particle swarm optimization algorithm is used to determine the fin characteristics that minimizes or maximizes the heat transfer to the cold wall. The results show that optimal fin length and position is influenced by the position of the lid driven on the top or bottom of the cavity as well as lid velocity direction. The greatest reduction and increase in the Nusselt number are related to Richardson number of 0.1 with the bottom lid moving in the negative direction and Richardson number of 10 with the bottom lid moving in the positive direction, respectively.