Analytic closed solution for the heat conduction with time dependent heat convection coefficient at one boundary

Han-Taw Chen, Shao Lun Sun, Hui Chen Huang, Sen-Yung Lee

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A new solution method is proposed to develop the analytic closed form solution for the one dimensional heat conduction with one mixed type boundary condition and general time dependent heat convection coefficient for the first time. The solution method is the combination of an extension of the shifting function method developed by Lee and his colleagues and a series expansion. It is shown that the solution is simple and accurate. The convergence of the present analysis is very fast. One can find that when the dimensionless Fourier number is greater than 0.2, the error for the one term approximation solution of the infinite serious solution can be less than 2%. Examples are given to reveal the solution method. Numerical results are compared with those in the existing literature.

Original languageEnglish
Pages (from-to)107-126
Number of pages20
JournalCMES - Computer Modeling in Engineering and Sciences
Volume59
Issue number2
Publication statusPublished - 2010 Jul 20

Fingerprint

Heat convection
Heat Conduction
Heat conduction
Convection
Heat
Closed
Coefficient
Series Expansion
Closed-form Solution
Dimensionless
Boundary conditions
Numerical Results
Term
Approximation

All Science Journal Classification (ASJC) codes

  • Software
  • Modelling and Simulation
  • Computer Science Applications

Cite this

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Analytic closed solution for the heat conduction with time dependent heat convection coefficient at one boundary. / Chen, Han-Taw; Sun, Shao Lun; Huang, Hui Chen; Lee, Sen-Yung.

In: CMES - Computer Modeling in Engineering and Sciences, Vol. 59, No. 2, 20.07.2010, p. 107-126.

Research output: Contribution to journalArticle

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