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

研究成果: Article同行評審

16 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)107-126
頁數20
期刊CMES - Computer Modeling in Engineering and Sciences
59
發行號2
出版狀態Published - 2010 七月 20

All Science Journal Classification (ASJC) codes

  • Software
  • Modelling and Simulation
  • Computer Science Applications

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