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ISSN 打印: 2151-4798
ISSN 在线: 2151-562X

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DOI: 10.1615/SpecialTopicsRevPorousMedia.2015013158
pages 91-108

TRANSFERS IN POROUS MEDIA

Michel Quintard
Université de Toulouse; INPT, UPS; IMFT (Institut de Mécanique des Fluides de Toulouse); Allée Camille Soula, F-31400 Toulouse, France and CNRS; IMFT; F-31400 Toulouse, France

ABSTRACT

Modeling heat transfer in porous media requires taking into account multiple-scale aspects inherent to porous media structures. Several methodologies have been developed to upscale the equations at a lower scale and to obtain upperscale models as it is outlined in a brief review based on a simple heat conduction example proposed in the first part of this paper. The more general and classical problem of heat transfer in porous media is reviewed in this paper with the emphasis on the fact that different behaviors and hence different models emerge at a given macro-scale, depending on the interplay of the various characteristic times and lengths characterizing the problem. Various classes of models are discussed and their relationships outlined. Extensions to more complicated problems of heat transfer in porous media are discussed: coupling with mass diffusion, effect of heat sources, radiation, boiling, etc.


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