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Transient Heat Transfer of a Spiral Fin

Authors: Sen-Yung Lee, Li-Kuo Chou, Chao-Kuang Chen


In this study, the problem of temperature transient response of a spiral fin, with its end insulated, is analyzed with base end subjected to a variation of fluid temperature. The hybrid method of Laplace transforms/Adomian decomposed method-Padé, is applied to the temperature transient response of the fin, the result of the temperature distribution and the heat flux at the base of the spiral fin are obtained, show a good agreement in the physical phenomenon.

Keywords: Heat Transfer, transient response, Laplace transforms/Adomian decomposed method- Padé

Digital Object Identifier (DOI):

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[1] Chu, H.S., Chen, C.K. and Weng, C.I., “Applications of Fourier series technique to transient heat transfer problem,” J. Chem. Eng. Commun., vol. 16, 1982, pp. 215– 225.
[2] Chu, H.S., Chen, C.K. and Weng, C.I., “Transient response of circular pins,” ASME. J. Heat Transfer, vol. 105, 1983, pp. 205– 208.
[3] Mokheimer, E.M.A., “Performance of annual fins with differential profiles subject to variable heat transfer coefficient,” Int. J. heat Mass Transfer, vol. 45, 2002, pp. 3631– 3642.
[4] Wang, J.S., Luo, W.J. and Hsu, S.P., “Transient Response of a Spiral Fin with its Base Subjected to the Variation of Heat Flux,” Journal of Applied Sciences, vol. 8, 2008, pp. 1798– 1811.
[5] Malekzadeh, P. and Rahideh, H., “Two-dimensional nonlinear transient heat transfer analysis of variable section pin fins,” Energy Conversion and Management, vol. 50, 2009, pp. 916– 922.
[6] Lai, C.Y., Kou, H.S. and Lee, J.J., “Recursive formulation on thermal analysis of an annular fin with variable thermal properties,” Applied Thermal Engineering, vol. 29, 2009, pp. 779– 786.
[7] Adomian, G., “Solution of the coupled nonlinear partial differential equations by decomposition,” Computers & Mathematics with Applications, vol. 31, 1996, pp. 117– 120.
[8] Wazwaz, A.M., “The modified decomposition method and Padé approximants for solving the Thomas–Fermi equation,” Applied Mathematics and Computation, vol. 105, 1999, pp. 11–19.
[9] Hsu, J.C., Lai, H.Y., and Chen, C.K., “Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method,” Journal of Sound and Vibration, vol.318, 2008, pp. 965–981.
[10] Chiu, C.H. and Chen, C.K., “A decomposition method for solving the convective longitudinal fins with variable thermal conductivity,” International of Heat and Mass Transfer, vol. 45, 2002, pp. 2067–2075.