Jump conditions and surface-excess quantities at a fluid/porous interface: A multi-scale approach

Transport in Porous Media

Volumn 78, Issue 3 SPEC. ISS., 2009, Pages 419-438

  Chandesris, Marion ^a   Jamet, Didier ^a  

^a CEA GRENOBLE   (France)

Author keywords

Excess quantity; Interface; Jump conditions; Multi scale

Indexed keywords

EXCESS QUANTITY; GENERAL APPROACH; HEAT CONDUCTION PROBLEMS; INTERFACE; INTERFACE LOCATIONS; JUMP CONDITIONS; MESOSCOPIC; MULTI-SCALE; MULTI-SCALE APPROACHES; POROUS MEDIUM; SURFACE-EXCESS QUANTITIES; TEMPERATURE JUMP; TRANSITION REGIONS; TRANSPORT PHENOMENA; UPSCALING;

LAMINAR FLOW; POROUS MATERIALS;

TRANSPORT PROPERTIES;

HEAT FLUX; HEAT TRANSFER; INTERFACE; LAMINAR FLOW; POROUS MEDIUM; TRANSPORT PROCESS;

CASTORIDAE;

EID: 67650627051     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-008-9302-0     Document Type: Article

References (29)

1. Anderson D.M., McFadden G.B., Wheeler A.A.: Diffuse-interface methods in fluid mechanics. Annu. Rev. Fluid Mech. 30, 139-165 (1999)
2. Beavers G., Joseph D.: Boundary conditions at a naturally permeable wall. J. Fluid Mech. 30, 197-207 (1967)
3. Beavers G.S., Sparrow E.M., Masha B.A.: Boundary conditions at a porous surface which bounds a fluid flow. AIChE J. 20, 596-597 (1974)
4. Breugem, W.-P., Boersma, B.J., Uittenbogaard, R.E.: Direct numerical simulation of plane channel flow over a 3D cartesian grid of cubes. In: Reis, A.H., Miguel, A. (eds.) Proceedings of the Second International Conference on Applications of Porous Media, pp. 27-35. Evora Geophysics Center, Portugal (2004)
5. Breugem W.-P., Boersma B.J., Uittenbogaard R.E.: The laminar boundary layer over a permeable wall. Transp. Porous Media 59(3), 267-300 (2005)
6. Chandesris M., Jamet D.: Boundary conditions at a planar fluid-porous interface for a Poiseuille flow. Int. J. Heat Mass Transf. 49(13-14), 2137-2150 (2006)
7. Chandesris M., Jamet D.: Boundary conditions at a fluid-porous interface: An a priori estimation of the stress jump coefficients. Int. J. Heat Mass Transf. 50(17-18), 3422-3436 (2007)
8. Edwards D.A., Brenner H., Wasan D.T.: Interfacial Transport Processes and Rheology. Butterworth- Heinemann, Boston, MA (1991)
9. Emmerich H.: The Diffuse Interface Approach in Materials Science. Springer, Berlin (2003)
10. Goharzadeh A., Khalili A., Jorgensen B.B.: Transition layer thickness at a fluid-porous interface. Phys. Fluids 17, 057102 (2005)
11. James D.F., Davis A.M.: Flow at the interface of a model fibous porous medium. J. Fluid Mech. 426, 47-72 (2001)
12. Jamet, D., Chandesris, M.: On the intrinsic nature of jump coefficients at the interface between a porous medium and a free fluid region. Int. J. Heat Mass Transf. In Press, Available online (2008)
13. Kaviany M.: Principles of Heat Transfer in Porous Media 2nd edn. Springer-Verlag, New York (1995)
14. Kuznetsov A.V.: Influence of the stress jump condition at the porous-medium/clear fluid interface on a flow at a porous wall. Int. Commun. Heat Mass Transf. 24(3), 401-410 (1997)
15. Larson R.E., Higdon J.J.L.: Microscopic flow near the surface of a two-dimensional porous media. Part 1. Axial flow. J. Fluid Mech. 166, 449-472 (1986)
16. Larson R.E., Higdon J.J.L.: Microscopic flow near the surface of a two-dimensional porous media. Part 2. Transverse flow. J. Fluid Mech. 178, 119-136 (1987)
17. Nozad I. Carbonell R.G., Whitaker S.: Heat conduction in multiphase systems I: Theory ans experiment for two-phase systems. Chem. Eng. Sci. 40, 843-855 (1985)
18. Ochoa-Tapia J.A., Whitaker S.: Momentum transfer at the boundary between a porous medium and a homogeneous fluid - I. Theoretical development. Int. J. Heat Mass Transf. 38(14), 2635-2646 (1995)
19. Quintard M., Whitaker S.: Transport in ordered and disordered porous media - II. Generalized volume averaging. Transp. Porous Media 14, 179-206 (1994)
20. Saffman P.G.: On the boundary condition at the surface of a porous medium. Stud. Appl. Math. L 2, 93-101 (1971)
21. Sahraoui M., Kaviany M.: Slip and no-slip velocity boundary conditions at interface of porous, plain media. Int. J. Heat Mass Transf. 35(4), 927-943 (1992)
22. Saleh S., Thovert J.F., Adler P.M.: Flow along porous media by partical image velocimetry. AIChE J. 39(11), 1765-1776 (1993)
23. Tachie M.F., James D.F., Currie I.G.: Slow flow through a brush. Phys. Fluids 16(2), 445-451 (2004)
24. Taylor G.I.: A model for the boundary condition of a porous material. Part I. J. Fluid Mech. 49(2), 319-326 (1971)
25. Valdès-Parada F.J., Goyeau B., Ochoa-Tapia J.A.: Diffusive mass transfer between a microporous medium and an homogeneous fluid: Jump boundary conditions. Chem. Eng. Sci. 61(5), 1692-1704 (2006)
26. Valdès-Parada, F.J., Goyeau, B., Ochoa-Tapia, J.A.: Heat conduction with chemical reaction in three-phase systems: Effective medium equations and jump boundary conditions. In: Eurotherm Seminar No. 81 Reactive Heat Transfer in Porous Media, Ecole des Mines d'Albi, France, 4 June 2007a
27. Valdès-Parada F.J., Goyeau B., Ochoa-Tapia J.A.: Jump momentum boundary condition at a fluid-porous dividing surface: Derivation of the closure problem. Chem. Eng. Sci. 62, 4025-4039 (2007)
28. Whitaker S.: The species mass jump condition at a singular surface. Chem. Eng. Sci. 47(7), 1677-1685 (1992)
29. Whitaker S.: The Method of Volume Averaging. Kluwer Academic Publishers, The Netherlands (1999)