Effect of Thermogeometric Parameters on Heat Transfer Rate in Straight Fin with Variable Thermal Conductivity Having a Convective Tip

Abstract

Temperature distribution in a straight fin with variable thermal conductivity and a convecting tip was analyzed using regular perturbation method. Approximate analytical solution was obtained and used to investigate the effects of Biot number, varying thermal conductivity, convective and insulated tips on the temperature distribution and heat transfer in a straight fin.In the limit of small parameter, the approximate solution was obtained for a straight fin with variable thermal conductivity having a convecting tip. The results of Aziz and Huq were fully recovered when the thermal conductivity at the tip was set to zero. From the results, for a high value of fin parameter, it is shown that the fin with convecting tip convecting tip has an enhanced 20 % heat conducting capacity than the fin with an assumed insulated.

Keywords: Straight Fin, Regular perturbation, Variable Thermal Conductivity,Biot Number and

Convective Tip