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.

Skip Nav Destination

Article navigation

Research Papers

# Thermosolutal Natural Convection in Partially Porous Domains

Dominique Gobin,

Dominique Gobin

Laboratoire FAST, CNRS, Université Pierre et Marie Curie

, 91405 Orsay Cedex, France

Search for other works by this author on:

Benoît Goyeau

Benoît Goyeau

Laboratoire EM2C, CNRS, École Centrale de Paris

, 92295 Châtenay-Malabry Cedex, France

Search for other works by this author on:

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

Download citation file:

### Get Email Alerts

### Cited By

Experimental Analysis of a Bayonet Tube at Constant Wall Temperature Conditions Under Laminar, Transition, and Turbulent Flow

J. Heat Mass Transfer (April 2023)

Flow and Convective Exchanges Study in Rotor-Stator System with Eccentric Impinging Jet

J. Heat Mass Transfer

### Related Articles

Numerical Analysis of Thermal-Solutal Convection in Heterogeneous Porous Media

J. Appl. Mech (January,2006)

Transient Double Diffusive Convection in a Vertical Enclosure With Asymmetrical Boundary Conditions

J. Heat Transfer (August,2000)

Transient Double-Diffusive Convection of Water Around 4 ° C in a Porous Cavity

J. Heat Transfer (May,2009)

Instability of Convection and Heat Transfer of High Prandtl Number Fluids in a Vertical Slot

J. Heat Transfer (May,1996)

### Related Proceedings Papers

### Related Chapters

Research on Heat and Mass Transfer of VOCS in a Partially Porous Cavity

Inaugural US-EU-China Thermophysics Conference-Renewable Energy 2009 (UECTC 2009 Proceedings)

Convection Mass Transfer Through Air–Water Interface

Case Studies in Fluid Mechanics with Sensitivities to Governing Variables

Mixed-Up Convection

Hot Air Rises and Heat Sinks: Everything You Know about Cooling Electronics Is Wrong