Tuck, E. O.Kouzoubov, A.2006-06-192006-06-191995Journal of Fluid Mechanics, 1995; 300:59-700022-1120http://hdl.handle.net/2440/511A modified slip boundary condition is obtained to represent the effects of small roughness-like perturbations to an otherwise-plane fixed wall which is acting as a boundary to steady laminar flow of a viscous fluid. In its simplest form, for low local Reynolds number and small roughness slope, this boundary condition involves a constant apparent backflow at the mean surface or, equivalently, represents a shift of the apparent plane boundary toward the flow domain. Extensions of the theory are also made to include finite local Reynolds number and finite roughness slope.enCopyright © 1995 Cambridge University PressJournal article001995028710.1017/S0022112095003600