ADOMIAN DECOMPOSITION METHOD FOR HEAT CONDUCTION IN AN ANNULAR FIN OF HYPERBOLIC PROFILE WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY

The Adomian decomposition method (ADM) is applied to analyze the thermal performance of an annular fin of hyperbolic profile with temperature dependent thermal conductivity. ADM provides the solution in an infinite series with easily computable components. It has been observed that the variation of thermo-geometric fin parameter and the thermal conductivity parameter have a significant effect on the temperature distribution in the fin and its efficiency. For engineering analysis and design, a regression equation is also proposed for fin efficiency as a function of fin radii ratio and thermo-geometric fin parameter. Obtained results are in a good agreement with numerical results of finite difference method (FDM) and exact solution with the constant thermal conductivity.