Analysis of temperature distribution in radial moving fins with temperature dependent thermal conductivity and heat transfer coefficient

Abstract

In this article, a model describing heat transfer through radial moving fins of hyperbolic and rectangular profiles is studied. The thermal conductivity and heat transfer coefficient are assumed to be given by linear and power law functions of temperature respectively. The temperature distribution along the fin is given by a closed-form solution obtained by applying the Variational Iteration Method (VIM). The impact of the embedding parameters on temperature distribution is illustrated and explained. The approximate analytical solutions are validated using numerical results obtained by applying the Runge-Kutta fourth order method. A good agreement is observed between the analytical and numerical solutions. The results further show that the rate of heat transfer to the ambient fluid increases with an increase in the horizontal flow field induced by the moving fin.