G. S. Beavers and D. D. Joseph, Boundary conditions at a naturally permeable wall, J. Fluid Mech, vol.30, pp.197-207, 1967.

G. S. Beavers, E. M. Sparrow, and B. A. Masha, Boundary conditions at a porous surface which bounds a fluid flow, AIChE J, vol.20, pp.596-597, 1974.

R. G. Carbonell and S. Whitaker, Fundamentals of transport phenomena in porous media. M. Nijhoff, Dordrecht, 1984.

M. Van-dyke, Perturbation methods in fluid mechanics, 1975.

H. Emmerich, The Diffuse Interface Approach in Materials Science, 2003.

C. Fouillet, Généralisation à des mélanges binaires de la méthode du second gradient et application à la simulation numérique directe de l'ébullition nucléée, 2003.

B. Goyeau, D. Lhuillier, D. Gobin, and M. G. Velarde, Momentum transport at a fluid-porous interface, Int. J. Heat Mass Transfer, vol.46, pp.4071-4081, 2003.

W. G. Gray, A derivation of the equations for multiphase transport, Chem. Engng. Sci, vol.30, pp.229-233, 1975.

R. E. Larson and J. J. Higdon, Microscopic flow near the surface of two-dimensional porous media. Part 1. Axial flow, J. Fluid Mech, vol.166, pp.449-472, 1986.

R. E. Larson and J. J. Higdon, Microscopic flow near the surface of two-dimensional porous media. Part 2. Transverse flow, J. Fluid Mech, vol.178, pp.119-136, 1987.

G. Neale and W. Nader, 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, vol.52, pp.475-478, 1974.

D. A. Nield, The limitations of the Brinkman-Forchheimer equations in modeling flow in a saturated porous medium and at an interface, Int. J. Heat and Fluid Flow, vol.12, issue.3, pp.269-272, 1991.

J. A. Ochoa-tapia and S. Whitaker, Momentum transfer at the boundary between a porous medium and a homogeneous fluid -I. Theoretical development, Int. J. Heat Mass Transfer, vol.38, issue.14, pp.2635-2646, 1995.

J. A. Ochoa-tapia and S. Whitaker, Momentum transfer at the boundary between a porous medium and a homogeneous fluid -II. Comparison with experiment, Int. J. Heat Mass Transfer, vol.38, issue.14, pp.2647-2655, 1995.

F. J. Valdes-parada and J. A. Ochoa-tapia, Jump condition at the boundary between a porous catalyst and a homogeneous fluid, Proc. of the 4th Int. Conf. on Computational Heat and Mass Transfer, vol.1, pp.323-326, 2005.

D. Poulikakos and M. Kazmierczak, Forced convection in a duct partially filled with a porous material, J. Heat Transfer, vol.109, pp.653-662, 1987.

M. Quintard and S. Whitaker, Transport in order and disordered porous media -I. The cellular average and the use of weighting functions, Transp. Porous Media, vol.14, pp.163-177, 1994.

M. Quintard and S. Whitaker, Transport in order and disordered porous media -II. Generalized volume averaging, Transp. Porous Media, vol.14, pp.179-206, 1994.

N. Rudraiah, Coupled parallel flows in a channel and a bounding porous medium of finite thickness, J. Fluids Eng, vol.107, pp.322-329, 1985.

P. G. Saffman, On the boundary condition at the surface of a porous medium, Stud. Appl. Math, vol.L, issue.2, pp.93-101, 1971.

M. Sahraoui and M. Kaviany, Slip and no-slip velocity boundary conditions at interface of porous, plain media, Int. J. Heat Mass Transfer, vol.35, issue.4, pp.927-943, 1992.

J. C. Slattery, Momentum, Energy and Mass Transfer in Continua, 1972.

K. Vafai and S. J. Kim, Fluid mechanics of the interface region between a porous medium and a fluid layer -an exact solution, Int. J. Heat and Fluid Flow, vol.11, issue.3, pp.254-256, 1990.

K. Vafai and S. J. Kim, On the limitations of the Brinkman-Forchheimer-extended Darcy equation, Int. J. Heat and Fluid Flow, vol.16, issue.1, pp.11-15, 1995.

K. Vafai and R. Thiyagaraja, Analysis of flow and heat transfer at the interface region of a porous medium, Int. J. Heat Mass Transfer, vol.30, pp.1391-1405, 1987.

S. Whitaker, Advances in theory of fluid motion in porous media, Ind. Eng. Chem, vol.61, pp.14-28, 1969.

S. Whitaker, Flow in porous media. I: A theoretical derivation of Darcy's law, Transport in Porous Media, vol.1, pp.3-25, 1986.

B. D. Wood, M. Quintard, and S. Whitaker, Jump conditions at non-uniform boundaries: the catalytic surface, Chem. Eng. Sc, vol.55, pp.5231-5245, 2000.

R. Kh and . Zeytounian, Les modèles Asymptotiques de la mécanique des fluides I, Lecture Notes in Physics, 1986.

D. Zwillinger, Handbook of differential equations, 1989.