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# Application of Homotopy Analysis Method for Periodic Heat Transfer in Convective Straight Fins with Temperature-Dependent Thermal Conductivity

Wei-Chung Tien1, Yue-Tzu Yang1, Cha’o-Kuang Chen1,2

Department of Mechanical Engineering, NCKU, Tainan City,Taiwan
Corresponding author.Tel.: +886 6 2757575-62140; Fax: +886 6 2342081. E-mail: ckchen@mail.ncku.edu.tw

Computer Modeling in Engineering & Sciences 2012, 84(2), 155-170. https://doi.org/10.3970/cmes.2012.084.155

## Abstract

In this paper, the homotopy analysis method is applied to analyze the heat transfer of the oscillating base temperature processes occurring in a convective rectangular fin with variable thermal conductivity. This method is a powerful and easy-to-use tool for non-linear problems and it provides us with a simple way to adjust and control the convergence region of solution series. Without the need of iteration, the obtained solution is in the form of an infinite power series and the results indicated that the series has high accuracy by comparing it with those generated by the complex combination method.

## Keywords

APA Style
Tien, W., Yang, Y., Chen, C. (2012). Application of homotopy analysis method for periodic heat transfer in convective straight fins with temperature-dependent thermal conductivity. Computer Modeling in Engineering & Sciences, 84(2), 155-170. https://doi.org/10.3970/cmes.2012.084.155
Vancouver Style
Tien W, Yang Y, Chen C. Application of homotopy analysis method for periodic heat transfer in convective straight fins with temperature-dependent thermal conductivity. Comput Model Eng Sci. 2012;84(2):155-170 https://doi.org/10.3970/cmes.2012.084.155
IEEE Style
W. Tien, Y. Yang, and C. Chen "Application of Homotopy Analysis Method for Periodic Heat Transfer in Convective Straight Fins with Temperature-Dependent Thermal Conductivity," Comput. Model. Eng. Sci., vol. 84, no. 2, pp. 155-170. 2012. https://doi.org/10.3970/cmes.2012.084.155

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