Analytical Solution for Fin with Temperature Dependent Heat Transfer Coefficient

Year 2011, Volume: 3 Issue: 2, 1 - 12, 01.06.2011

A. Moradi

Abstract

In this study, the differential transformation method (DTM) has been used for thermal characteristics of straight rectangular fin for all type of heat transfer and numerical comparison between DTM and adomain decomposition method (ADM) and exact analytical solution method as well as problem is solved numerically with fourth order Rang- Kutta method using shooting method because one of the boundary conditions is boundary value. Local heat transfer coefficient is assumed to vary power-law function of temperature. The obtained differential transform approximate analytic solution is in the form of an infinite power series, so that with obtained explicit form of temperature profile, the fin tip temperature, fin base heat transfer rate, and fin efficiency can be calculated directly from temperature profile easily, but in the exact analytical method obtained implicit form of temperature profile. Results showed that present results have excellent agreement with ADM results and exact analytical method results

Keywords

DTM, ADM, analytical solution, fin, efficiency

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