A series solution of the fin problem with a temperature-dependent thermal conductivity |
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| Authors: | F. Khani M. Ahmadzadeh Raji S. Hamedi-Nezhad |
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| Affiliation: | 1. Department of Mathematics, Ilam University, P.O. Box 69315516, Ilam, Iran;2. Department of Mathematics, Razi University, Kermanshah, Iran;3. Bakhtar Institute of Higher Education, Ilam, Iran;1. Institute of Resources and Environment Engineering, Shanxi University, Taiyuan 030006, China;2. Department of Chemical Engineering, National Taiwan University of Science and Technology, Taipei 10607, Taiwan;3. Department of Chemical Engineering, National Taiwan University, Taipei 10617, Taiwan |
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| Abstract: | In this work, we apply the homotopy analysis method to solve fin problems with temperature-dependent thermal conductivity. The results are compared with the solutions obtained by the Adomian decomposition method (ADM), homotopy perturbation method (HPM) and with the Taylor series expansion method as well. The results of the comparisons have shown that the ADM and HPM are just an approximation of the present study and the accuracy of the solution obtained by the present study is much better than the latter algorithms. |
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