Functionally Graded Varying Geometry Annular Fins

Abstract

The research work aims at investigating the performance of functionally graded annular fin. The work involves computation of efficiency and effectiveness of such fins and compares the fin performances for different geometry and grading parameters. It is also assumed that the temperature gradient only exists in one direction i.e. along the radius. A general second order governing differential equation has been derived for all the profiles and grading. The thickness of fin is considered to be a power function of radial co-ordinate. The functional grading of thermal conductivity is assumed to be a power function of radial co-ordinate and also consists of parameters, namely grading parameters, varying which different grading combinations can be carried out. The efficiency and effectiveness of the annular fin of different geometry and grading combinations have been calculated and plotted. The performance analysis reveals the dependence of thermal behaviour of annular fins on geometry and grading parameter.