Convection–radiation heat transfer study of moving fin with temperature-dependent thermal conductivity, heat transfer coefficient and heat generation

Abstract

In this article, the simultaneous convection–radiation heat transfer through a moving fin with heat generation is studied. The heat transfer coefficient, thermal conductivity and heat generation are variable and supposed to be temperature dependent. The heat transfer in fin with longitudinal rectangular profile was carried out by using the Differential Transformation Method (DTM). The results indicated that the fin tip temperature increases with an increase in the heat generation gradient and a decrease in the Peclet number and the radiation–conduction parameter. Also, the optimal temperature distribution for a longitudinal rectangular fin is accomplished at stationary fin with heat generation-without radiation case. Furthermore, the limiting cases are obtained and found to be in good agreement with the numerical results.