A review of models for the stagnant effective thermal conductivity of a saturated porous medium

H. T. Aichlmayr, F. A. Kulacki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The prediction of the effective thermal conductivity, ke, of a saturated porous medium has proven to be a great challenge both theoretically and experimentally. Generally, pore geometry has a substantial influence on ke and is important because conduction within the medium is multidimensional. The failure of one-dimensional models when the ratio of solid (ks) to fluid (kf) conductivity, κ, is different from unity is evidence that conduction within the medium is not one-dimensional. While heat transfer must thus be three-dimensional, the success of two-dimensional spatially periodic models suggests that a high degree of symmetry exists in the internal temperature fields. However, such models fail for κ> 1000, and this failure is attributed to the predominance of diffusion through particle contact regions. Thus ke is dependent on the thermal and mechanical properties of the solid phase. The models of Nozad et al. [1] and Batchelor and O'Brien [2] define two asymptotes for ke corresponding to large and small particle contact area models, respectively. Measured values however, diverge from either model when κ> 1000, and there thus remains a need to develop a validated model that accurately represents the thermo-physics of particle contact. There is also a need for more carefully documented measurements for validation, especially when κ>1.

Original languageEnglish (US)
Title of host publicationProceedings of the International Conference on Energy Conversion and Application (ICECA'2001)
EditorsW. Liu, W. Liu
Pages532-539
Number of pages8
StatePublished - Dec 1 2001
EventProceedings of the International Conference on Energy Conversion and Application (ICECA'2001) - Wuhan, China
Duration: Jun 17 2001Jun 20 2001

Publication series

NameProceedings of the International Conference on Energy Conversion and Application (ICECA'2001)
Volume1

Other

OtherProceedings of the International Conference on Energy Conversion and Application (ICECA'2001)
CountryChina
CityWuhan
Period6/17/016/20/01

Keywords

  • Packed bed
  • Porous media
  • Stagnant effective thermal conductivity

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    Aichlmayr, H. T., & Kulacki, F. A. (2001). A review of models for the stagnant effective thermal conductivity of a saturated porous medium. In W. Liu, & W. Liu (Eds.), Proceedings of the International Conference on Energy Conversion and Application (ICECA'2001) (pp. 532-539). (Proceedings of the International Conference on Energy Conversion and Application (ICECA'2001); Vol. 1).