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Stationary and transient heat conduction in a non homogeneous material

Stationäre und Übergangswärmeleitung in nichthomogenen Materialien

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Abstract

An apparent thermal conductivity for inhomogeneous materials is widely used. In this paper it is demonstrated that the apparent thermal conductivity for stationary heat conduction is not sufficient to describe the transient heat response of an inhomogeneous medium. In the geometry we used the heat transfer is estimated too high when the stationary thermal conductivity is employed. A numerical solution of the equation of thermal diffusion has been used to check several approximations. For short and for long times a separate approximate analytic expression can be used.

Zusammenfassung

Oft wird eine scheinbare Wärmeleitfähigkeit für inhomogene Materialien verwendet. In diesem Artikel wird gezeigt, daß es im allgemeinen nicht genügt, die instationäre Übergangswärmeleitung mit der stationären Wärmeleitfähigkeit zu beschreiben. In unserer Geometrie gibt dies eine Überschätzung der Wärmeleitung. Ein numerisches Modell für die Wärmediffusions-gleichung ist entwickelt worden, um mehrere Schätzungen der scheinbaren Wärmeleitfähigkeit zu kontrollieren. Für kurze und lange Zeiten stehen unterschiedliche analytische Beziehungen zur Verfügung.

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Authors and Affiliations

  1. Applied Physics Department, Delft University of Technology, P.O. Box 5046, NL-2600, GA Delft, The Netherlands

    G. C. J. Bart,  C. J. Hoogendoorn &  P. B. J. Schaareman

Authors
  1. G. C. J. Bart
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  2. C. J. Hoogendoorn
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  3. P. B. J. Schaareman
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Bart, G.C.J., Hoogendoorn, C.J. & Schaareman, P.B.J. Stationary and transient heat conduction in a non homogeneous material. Warme- und Stoffubertragung 20, 269–272 (1986). https://doi.org/10.1007/BF01002417

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  • DOI: https://doi.org/10.1007/BF01002417

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