Analysis of Transient Thermal Behaviour of a Different Profiled Fully Wetted Longitudinal Porous Fin with Internal Heat Generation

Abstract

The transient thermal performance of a fully wetted longitudinal permeable fin under natural convection, radiation, and internal heat generation has been studied in the present problem. Due to variation of fin thickness with respect to fin length, it is possible to obtain different fin profiles such as triangular, convex and rectangular profiles. Here, the diverse profiles of the fin have been considered for the examination and Darcy’s model was implemented to investigate the porous nature of the fin. The governed partial differential equation has been solved by applying finite difference method. The influence of dimensionless parameters on the transient thermal profile as well as the heat dissipation rate of the three types of fins, has been graphically illustrated and interpreted physically.