Analytical and numerical approaches for heat conduction in composite materials

K. C. Chang, U. J. Payne

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


A rectangular composite slab constituted by two different materials with linearly temperature-dependent thermal conductivity is selected as a test example. The analytical solution can be obtained by introducing the Kirchhoff transformation. Using the exact solution as a comparison base, it is found that the evaluation of the thermal conductivity at the control-volume surface using the harmonic mean operation is generally better than that using the arithmetic mean operation. However, if we intend to obtain the information right at some specific interfaces of abrupt change of thermal conductivity, the recommended grid layout is arranged so that each specific interface is placed with a grid node and more accurate predictions, particularly at these interesting interfaces, can be obtained.

Original languageEnglish
Pages (from-to)899-904
Number of pages6
JournalMathematical and Computer Modelling
Issue numberC
Publication statusPublished - 1990

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computer Science Applications

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