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2013 (Vol. 6, Issue: 08)
Article Information:

The Efficiency of Convective-radiative Fin with Temperature-dependent Thermal Conductivity by the Differential Transformation Method

Sadegh Poozesh, Sajjad Nabi, Majid Saber, Saeed Dinarvand and Behzad Fani
Corresponding Author:  Saeed Dinarvand 

Key words:  Convection-conduction parameter, differential transformation method, fin efficiency, nonlinear heat transfer equation, radiation-conduction parameter, temperature-dependent thermal conductivity ,
Vol. 6 , (08): 1354-1359
Submitted Accepted Published
August 30, 2012 October 02, 2012 July 10, 2013
Abstract:

In this study, a simple and accurate solution for the temperature distribution of convective-radiative straight rectangular fins with temperature-dependent thermal conductivity is presented using an analytical method called the Differential Transformation Method (DTM). The governing differential equation for the temperature distribution in present problem contains two nonlinear terms, one due to temperature-dependent thermal conductivity and the other due to surface radiation. Here, the concept of differential transformation method is briefly introduced and then it is used to derive solutions of highly nonlinear equation. The obtained results from DTM are compared with those from the numerical solution to verify the accuracy of the proposed method. The investigations reveal that the differential transformation method can achieve suitable results in predicting the solution of such strong nonlinear problem. After this verification, the effects of some physical applicable parameters in this problem such as convection-conduction parameter, thermal conductivity parameter and the radiation-conduction parameter on efficiency of the fin are presented and discussed.
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  Cite this Reference:
Sadegh Poozesh, Sajjad Nabi, Majid Saber, Saeed Dinarvand and Behzad Fani , 2013. The Efficiency of Convective-radiative Fin with Temperature-dependent Thermal Conductivity by the Differential Transformation Method.  Research Journal of Applied Sciences, Engineering and Technology, 6(08): 1354-1359.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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