Flow over a surface with parallel grooves

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. (C) 2003 American Institute of Physics.