THERMAL SCIENCE

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Amir Moradi

,

Reza Rafiee

ANALYTICAL SOLUTION TO CONVECTION-RADIATION OF A CONTINUOUSLY MOVING FIN WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY

ABSTRACT
In this article, the simultaneous convection-radiation heat transfer of a moving fin of variable thermal conductivity is studied. The differential transformation method (DTM) is applied for an analytic solution for heat transfer in fin with two different profiles. Fin profiles are rectangular and exponential. The accuracy of analytic solution is validated by comparing it with the numerical solution that is obtained by fourth-order Runge-Kutta method. The analytical and numerical results are shown for different values of the embedding parameters. DTM results show that series converge rapidly with high accuracy. The results indicate that the fin tip temperature increases when ambient temperature increases. Conversely, the fin tip temperature decreases with an increase in the Peclet number, convection-conduction and radiation-conduction parameters. It is shown that the fin tip temperature of the exponential profile is higher than the rectangular one. The results indicate that the numerical data and analytical method are in a good agreement with each other.
KEYWORDS
DTM, fin, fin tip temperature, exponential, radiation
PAPER SUBMITTED: 2011-04-25
PAPER REVISED: 2012-01-05
PAPER ACCEPTED: 2012-01-05
DOI REFERENCE: https://doi.org/10.2298/TSCI110425005M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 4, PAGES [1049 - 1060]
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Analytical solution to convection-radiation of a continuously moving fin with temperature-dependent thermal conductivity

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