The beavers - Joseph boundary condition and related matters: A historical and critical note

Transport in Porous Media

Volumn 78, Issue 3 SPEC. ISS., 2009, Pages 537-540

  Nield, D A ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Beavers Joseph boundary condition; Brinkman equation; Porous medium fluid interface

Indexed keywords

CASTORIDAE;

EID: 67650631024     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-009-9344-y     Document Type: Note

References (20)

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2. Beavers G.S., Sparrow E.M., Magnuson R.A.: Experiments on coupled parallel flows in a channel and a bounding medium. ASME J. Basic Eng. 92, 843-848 (1970)
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). doi: 10.1002/aic.690200323
4. Brinkman H.C.: A calculation of the viscous force exerted by flowing fluid on a dense swarm of particles. Appl. Sci. Res. A 1, 27-34 (1947). doi: 10.1007/BF02120313
5. Jones I.P.: Low Reynolds number flow past a porous spherical shell. Proc. Camb. Philos. Soc. 73, 231-238 (1973)
6. Joseph D.D., Tao L.N.: Lubrication of a porous bearing - Stokes solution. J. Appl. Mech. 33, 753-760 (1966)
7. Larson R.E., Higdon J.L.L.: Microscopic flow near the surface of two-dimensional porous media. 1. Axial flow. J. Fluid Mech. 166, 449-472 (1986). doi: 10.1017/S0022112086000228
8. Larson R.E., Higdon J.L.L.: Microscopic flow near the surface of two-dimensional porous media. 2. Transverse flow. J. Fluid Mech. 178, 119-136 (1987). doi: 10.1017/S0022112087001149
9. Lundgren T.S.: Slow flow through stationary random beds and suspensions of spheres. J. Fluid Mech. 51, 273-299 (1972). doi: 10.1017/ S002211207200120X
10. Neale G., Nader W.: Practical significance of Brinkman's extension of Darcy's law: Coupled parallel flows within a channel and a bounding porous medium. Can. J. Chem. Eng. 52, 475-478 (1974)
11. Nield D.A.: Onset of convection in a fluid layer overlying a layer of porous medium. J. Fluid Mech. 81, 513-522 (1977). doi: 10.1017/ S0022112077002195
12. Nield D.A.: Modeling the effect of surface tension on the onset of natural convection in a saturated porous medium. Transp. Porous Media 31, 365-368 (1998). doi: 10.1023/A:1006598423126
13. Nield D.A., Bejan A.: Convection in porous media. Springer, New York (2006)
14. Rhodes C.A., Rouleau W.T.: Hydrodynamic lubrication of partial porous metal bearings. ASME J. Basic Eng. 88, 53-60 (1966)
15. Richardson S.: A model for the boundary condition of a porous material, Part 2. J. Fluid Mech. 49, 327-336 (1971). doi: 10.1017/S002211207100209X
16. Saffman P.: On the boundary condition at the surface of a porous medium. Stud. Appl. Math. 50, 93-101 (1971)
17. Sahraoui M., Kaviany M.: Slip and no-slip velocity boundary conditions at the surface of porous, plain media. Int. J. Heat Mass Transf. 35, 927-943 (1992). doi: 10.1016/0017-9310(92)90258-T
18. Shir C.C., Joseph D.D.: Lubrication of a porous bearing - Reynolds solution. J. Appl. Mech. 33, 761-767 (1966)
19. Tao L.N., Joseph D.D.: Fluid flow between porous rollers. J. Appl. Mech. 29, 429-433 (1962)
20. Taylor G.I.: A model for the boundary condition of a porous material, Part 1. J. Fluid Mech. 49, 319-326 (1971). doi: 10.1017/S0022112071002088