In many industrial processes or natural phenomena, coupled heat and mass transfer and fluid flow take place in configurations combining a clear fluid and a porous medium. Since the pioneering work by Beavers and Joseph (1967), the modeling of such systems has been a controversial issue, essentially due to the description of the interface between the fluid and the porous domains. The validity of the so-called one-domain approach—more intuitive and numerically simpler to implement—compared to a two-domain description where the interface is explicitly accounted for, is now clearly assessed. This paper reports recent developments and the current state of the art on this topic, concerning the numerical simulation of such flows as well as the stability studies. The continuity of the conservation equations between a fluid and a porous medium are examined and the conditions for a correct handling of the discontinuity of the macroscopic properties are analyzed. A particular class of problems dealing with thermal and double diffusive natural convection mechanisms in partially porous enclosures is presented, and it is shown that this configuration exhibits specific features in terms of the heat and mass transfer characteristics, depending on the properties of the porous domain. Concerning the stability analysis in a horizontal layer where a fluid layer lies on top of a porous medium, it is shown that the onset of convection is strongly influenced by the presence of the porous medium. The case of double diffusive convection is presented in detail.

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# Thermosolutal Natural Convection in Partially Porous Domains

Dominique Gobin,

Dominique Gobin

Laboratoire FAST, CNRS, Université Pierre et Marie Curie

, 91405 Orsay Cedex, France

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Benoît Goyeau

Benoît Goyeau

Laboratoire EM2C, CNRS, École Centrale de Paris

, 92295 Châtenay-Malabry Cedex, France

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Dominique Gobin

Laboratoire FAST, CNRS, Université Pierre et Marie Curie

, 91405 Orsay Cedex, France

Benoît Goyeau

Laboratoire EM2C, CNRS, École Centrale de Paris

, 92295 Châtenay-Malabry Cedex, France

*J. Heat Transfer*. Mar 2012, 134(3): 031013 (10 pages)

**Published Online:**January 18, 2012

Article history

Received:

July 28, 2010

Revised:

June 24, 2011

Online:

January 18, 2012

Published:

January 18, 2012

Citation

Gobin, D., and Goyeau, B. (January 18, 2012). "Thermosolutal Natural Convection in Partially Porous Domains." ASME. *J. Heat Transfer*. March 2012; 134(3): 031013. https://doi.org/10.1115/1.4005147

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