A series solution of the fin problem with a temperature-dependent thermal conductivity

Sin Kim; Cheng Hung Huang

doi:10.1088/0022-3727/39/22/023

A series solution of the fin problem with a temperature-dependent thermal conductivity

Sin Kim, Cheng Hung Huang

Department of Systems and Naval Mechatronic Engineering

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

In this work, a recursive algorithm to solve fin problems with temperature-dependent thermal conductivity is given. The algorithm is based on the Taylor series solution. The results are compared with the solutions obtained by the Adomian decomposition method (ADM) and with the numerical solutions as well. The results of the comparisons have shown that the ADM is just an approximation of the present study and the accuracy of the solution is also worse than the present algorithm.

Original language	English
Article number	023
Pages (from-to)	4894-4901
Number of pages	8
Journal	Journal of Physics D: Applied Physics
Volume	39
Issue number	22
DOIs	https://doi.org/10.1088/0022-3727/39/22/023
Publication status	Published - 2006 Nov 21

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Acoustics and Ultrasonics
Surfaces, Coatings and Films

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10.1088/0022-3727/39/22/023

Cite this

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abstract = "In this work, a recursive algorithm to solve fin problems with temperature-dependent thermal conductivity is given. The algorithm is based on the Taylor series solution. The results are compared with the solutions obtained by the Adomian decomposition method (ADM) and with the numerical solutions as well. The results of the comparisons have shown that the ADM is just an approximation of the present study and the accuracy of the solution is also worse than the present algorithm.",

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AB - In this work, a recursive algorithm to solve fin problems with temperature-dependent thermal conductivity is given. The algorithm is based on the Taylor series solution. The results are compared with the solutions obtained by the Adomian decomposition method (ADM) and with the numerical solutions as well. The results of the comparisons have shown that the ADM is just an approximation of the present study and the accuracy of the solution is also worse than the present algorithm.

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A series solution of the fin problem with a temperature-dependent thermal conductivity

Abstract

All Science Journal Classification (ASJC) codes

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