Green function for a Stokes flow near a porous slab

The Green function of the Stokes equations for the creeping flow of a visco us fluid near a porous slab is calculated analytically. The flow in the por ous slab is represented by Darcy equations and the boundary condition on th e interface between the flu-id and the porous medium is a. slip condition p roposed by BEAVERS and JOSEPH (1967) on the basis of experimental results. An alternative simpler condition in which a no-slip condition applies on th e fluid side is also used for comparison. Streamlines then are calculated n umerically and represented for various values of the parameters: porosity, slip length, thickness of the porous slab.