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Research Papers: Heat Transfer Enhancement

Effective Computation of Solutions for Nonlinear Heat Transfer Problems in Fins

[+] Author and Article Information
Mustafa Turkyilmazoglu

Department of Mathematics,
Hacettepe University,
06532-Beytepe,
Ankara, Turkey
e-mail: turkyilm@hacettepe.edu.tr

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received November 24, 2013; final manuscript received May 7, 2014; published online June 12, 2014. Assoc. Editor: Giulio Lorenzini.

J. Heat Transfer 136(9), 091901 (Jun 12, 2014) (6 pages) Paper No: HT-13-1596; doi: 10.1115/1.4027772 History: Received November 24, 2013; Revised May 07, 2014

Fins are essentially used in diverse engineering applications to increase the heat transfer between the hot and cold media. In this paper, a technique for computing the analytic approximate solution of the nonlinear differential equations resulting from heat transfer problems, in particular through fins, is developed. The simplicity of the approach presented here is due to its base functions, which makes this method straightforward to apply and formulate without any need for discretization. Analysis of the error and comparisons with the other methods are presented. A few physically interesting fin problems of heat transfer are treated to illustrate that the proposed algorithm generates highly accurate solutions.

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Figures

Grahic Jump Location
Fig. 1

Approximate solutions and absolute errors computed from the present method for Eq. (22). (a) and (b) n = 3 and (c) and (d) n = 10. Unbroken curves represent exact and dashed present solutions in (a)–(c).

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