Efficiency and Effectiveness of a Rotation-Shaped Fin Having the Cross-Section Area Dependent on the One-Dimensional Position

This article reports research results on the efficiency and effectiveness of a rotation-shaped fin. The cross section area of the fin is dependent on the one-dimensional position. The computation is based on the conservation of energy. Using a finite difference method, we compute the temperature of the fin at every time step. We focus our investigation in unsteady state problems. We obtain that when the state is unsteady, the efficiency and effectiveness of the fin are affected by the thermal diffusivity of the material. When the state is steady, the efficiency and effectiveness of the fin is affected by the thermal conductivity of the material. The velocity of the fluid acrosses the fin influences the efficiency and effectiveness of the fin, that is, the greater the speed of fluid flowing across the fins, the lower the efficiency and effectiveness of the fin.