New Approach for Determining Fin Performances of an Annular Disc Fin with Internal Heat Generation

Abstract

In the present paper, a new analytical model based on the Frobenius power series is developed for the thermal analysis of an annular disc fin. The temperature distribution in fins has been determined with the help of an infinite Frobenius power series. A linear variation of temperature-dependent internal volumetric heat generation inside the fin has been taken into account. The fin performances have been evaluated over a wide range of thermo-geometric parameters. From the results, it can be highlighted that the maximum fin performances have been achieved at a particular value of thermo-geometric parameter for the internal heat generation which can be the practical design condition to operate a fin for enhancing more heat transfer rate.