A series solution of the non-linear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient

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Abstract

An extension of a series solution of the non-linear fin problem with temperature-dependent thermal conductivity [Kim and Huang 2006 J. Phys. D: Appl. Phys. 39 4894-901] is done to include a temperature-dependent heat transfer coefficient as well. It is assumed that the heat transfer coefficient is expressed in a power-law form and the thermal conductivity is a linear function of temperature. The algorithm is based on the Taylor series solution. The proposed approximate solution is successfully compared with the solutions for the Adomian decomposition method (ADM) and numerical algorithm. Also, it has been shown that the Adomian decomposition solution is just an approximation of the series solution given in this work, and therefore the present algorithm is better than ADM.

Original languageEnglish
Article number046
Pages (from-to)2979-2987
Number of pages9
JournalJournal of Physics D: Applied Physics
Volume40
Issue number9
DOIs
Publication statusPublished - 2007 May 7

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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