Flow over a surface with parallel grooves

This is the authors' abstract. We don't add key points for this paper.

Stokes shear flow over a surface with evenly spaced, finite-depth rectangular grooves is solved analytically by eigenfunction expansions and matching. Macroscopically the rough surface is equivalent to a smooth surface with partial slip. The slip coefficients are determined for shear flow both along and transverse to the grooves. The partial slip condition is then applied to the flow through a channel with nonaligned grooves on the walls.