On the slip-boundary condition for liquid flow over planar porous boundaries

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 455, Issue 1984, 1999, Pages 1315-1340

  Murdoch, A I ^a   Soliman, A ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Boundary condition; Porous media; Scale dependent averaging

Indexed keywords

EID: 0000404715     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0363     Document Type: Article

References (21)

1. Abramowitz, M. & Stegun, I. A. 1965 Handbook of mathematical functions. New York: Dover.
2. Adamson, A. W. 1960 Physical chemistry of surfaces. New York: Interscience.
3. Bear, J. 1972 Dynamics of fluids in porous media. Amsterdam: Elsevier.
4. Beavers, G. S. & Joseph, D. D. 1967 J. Fluid Mech. 30, 197-207.
5. Defay, R., Prigoginc, I. & Bellemans, A. 1966 Surface tension and adsorption (translated by D. H. Everett). London: Longmans.
6. Haber, S. & Mauri, R. 1983 Int. J. Multiphase Flow 9, 561-574.
7. Jeffreys, H. & Jeffreys, B. S. 1966 Methods of mathematical physics, 3rd edn. Cambridge University Press.
8. Kosinski, W. & Murdoch, A. I. (eds) 1991 Modelling macroscopic phenomena at liquid boundaries. CISM Courses and Lectures no. 318. New York: Springer.
9. Marie, C. M. 1967 Rev. Inst. Français Pétrole 22, 1471-1509.
10. Marie, C. M. 1982 Int. J. Engng Sci. 20, 643-662.
11. Murdoch, A. I. 1995 Int. J. Engng Sci. 33, 803-813.
12. Murdoch, A. I. 1998 Arch. Mech. 50, 531-539
13. Murdoch, A. I. & Bedeaux, D. 1994 Froc. R. Soc. Lond. A 445, 157-179.
14. Murdoch, A. I. & Bedeaux, D. 1996 Int. J. Engng Sci. 34, 1111-1129.
15. Murdoch, A. I. & Kubik, J. 1995 Transport Porous Media 19, 157-197.
16. Quintard, M. & Whitaker, S. 1994 Transport Porous Media 14, 163-206.
17. Richardson, S. 1971 J. Fluid Mech. 49, 327-336.
18. Saffman, P. G. 1971 Stud. Appl. Math. 1, 93-101.
19. Slattery, J. C. 1972 Momentum, energy, and mass transfer in continua. New York: McGraw-Hill.
20. Taylor, G. I. 1971 J. Fluid Mech. 49, 319-326.
21. Veverka, V. 1981 Chem. Engng Sci. 36, 833-838.