  We derive effective wall-laws for Stokes systems with inhomogeneous boundary
conditions in three dimensional bounded domains with curved rough boundaries.
No-slip boundary condition is given on the locally periodic rough boundary
parts with characteristic roughness size $\epsilon$ and boundary data is
assumed to be supported in the nonoscillatory smooth boundary.
  Based on the analysis of a boundary layer cell problem depending on geometry
of the fictitious boundary and roughness shape, boundary layer approximations
are constructed using orthogonal tangential vectors and normal vector on the
fictitious boundary, which have $O(\epsilon^{3/2})$-order in $L^2$-norm and
$O(\epsilon)$-order in energy-norm. Then, a Navier wall-law with error
estimates of $O(\epsilon^{3/2})$-order in $L^2$-norm and $O(\epsilon)$-order in
$W^{1,1}$-norm is obtained, which is proved to be irrespective of the choice of
the orthogonal tangent vectors.
