Free flow at the interface of porous surfaces: A generalization of the Taylor brush configuration

Transport in Porous Media

Volumn 54, Issue 3, 2004, Pages 345-360

  Shavit, U ^a   Rosenzweig, R ^a   Assouline, S ^b  

^a Faculty of Civil and Environmental Engineering   (Israel)

^b VOLCANI CENTER   (Israel)

Author keywords

Brinkman; Darcy; Interface flow; Porous media; REV; Stokes

Indexed keywords

FLOW OF FLUIDS; LAMINAR FLOW; MASS TRANSFER; POROSITY; VELOCITY MEASUREMENT;

POROUS SURFACES; SHALLOW LAMINAR WATER FLOW;

POROUS MATERIALS;

FLOW MODELING; FLOW OVER SURFACE; INTERFACE; POROUS MEDIUM;

FLOW OVER SURFACE; INTERFACE; POROUS MEDIUM; WATER FLOW;

EID: 1242265672     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:TIPM.0000003623.55005.97     Document Type: Article

References (27)

1. Adler, P. M. and Mills, P. M.: 1979, Motion and rupture of a porous sphere in a linear flow field, J. Rheol. 23, 25-37.
2. Basu, A. J. and Khalili, A.: 1999, Computation of flow through a fluid-sediment interface in a benthic chamber, Phys. Fluids 11(6), 1395-1405.
3. Beavers, G. S. and Joseph, D. D.: 1967, Boundary conditions at a naturally permeable wall, J. Fluid Mech. 30, 197-207.
4. Beavers, G. S., Sparrow, E. M. and Magnuson, R. A.: 1970, Experiments on coupled parallel flows in a channel and a bounding porous medium, J. Basic Eng. 92D 843-848.
5. Beavers, G. S., Sparrow, E. M. and Masha, B. A.: 1974, Boundary condition at a porous surface which bounds a fluid flow, AIChE J. 20, 596-597.
6. Brinkman, H. C.: 1947, A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Appl. Sci. Res. 1, 27-34.
7. Durlofsky, L. and Brady, J. F.: 1987, Analysis of the Brinkman equation as a model for flow in porous media, Phys. Fluids 30, 3329.
8. Gray, W. G. and O'Neill, K.: 1976, On the general equations for flow in porous media and their reduction to Darcy's law, Water Resour. Res. 12, 148-154.
9. Happel, J. and Brenner, H.: 1973, Low Reynolds Number Hydrodynamics, Noordhoff, Groningen, The Netherlands.
10. Howells, I. D.: 1974, Drag due to the motion of a Newtonian fluid through a sparse random array of small rigid fixed objects, J. Fluid Mech. 64, 449-475.
11. James, D. F. and Davis, A. M. J.: 2001, Flow at the interface of a model fibrous porous medium, J. Fluid Mech. 426, 47-72.
12. Jennings, A. A. and Pisipati, R.: 1999, The impact of Brinkman's extension of Darcy's law in the neighborhood of a circular preferential flow pathway, Environ. Model. Software 14, 427-435.
13. Kaviany, M.: 1995, Principles of Heat Transfer in Porous Media, Springer, New York.
14. Kim, S. and Russell, W. B.: 1985, Modeling of porous media by renormalization of the Stokes equations, J. Fluid Mech. 154, 269-286.
15. Koplik, J., Levine, H. and Zee, A.: 1983, Viscosity renormalization in the Brinkman equation, Phys. Fluids 26, 2864-2870.
16. Larson, R. E. and Higdon, J. J. L.: 1986, Microscopic flow near the surface of two-dimensional porous media. I. Axial flow, J. Fluid Mech. 166, 449-472.
17. Lundgren, T. S.: 1972, Slow flow through stationary random beds and suspensions of spheres, J. Fluid Mech. 51, 273-299.
18. Martys, N., Bentz, D. P. and Garboczi, E. J.: 1994, Computer simulation study of the effective viscosity in Brinkman's equation, Phys. Fluids 6(4), 1434-1439.
19. Nield, D. A. and Bejan, A.: 1992, Convection in Porous Media, Springer, New York, pp. 11-19.
20. Richardson, S.: 1971, A model for the boundary condition of a porous material. Part 2, J. Fluid Mech. 49, 327-336.
21. Saffman, P. G.: 1971, On the boundary condition at the surface of a porous medium , Stud. Appl. Math. 2, 93-101.
22. Sahraoui, M. and Kaviany, M.: 1992, Slip and no-slip velocity boundary-conditions at interface of porous, plain media, Int. J. Heat Mass Transfer 35(4), 927-943.
23. Shavit, U., Bar-Yosef, G., Rosenzweig, R. and Assouline, S.: 2002, Modified Brinkman equation for a free flow problem at the interface of porous surfaces: the Cantor-Taylor brush configuration case, Water Resour. Res. 38, 1320-1334.
24. Taylor, G. I.: 1971, A model for the boundary condition of a porous material. Part 1, J. Fluid Mech. 49, 319-326.
25. Vignes-Adler, M., Adler, P. M. and Gougat, P.: 1987, Transport processes along fractals. The Cantor-Taylor brush, PhysicoChemical Hydrodyn. 8(4), 401-422.
26. Whitaker, S.: 1999, The Method of Volume Averaging, Kluwer Academic Publishers, Dordrecht.
27. Zhou, D. and Mendosa, C. C.: 1993, Flow through porous bed of turbulent stream, J. Eng. Mech. ASCE 119 365-383.