Stokes flow with slip and Kuwabara boundary conditions.
The steady Stokes flow of a fluid volume bounded by two parallel surfaces is considered. The boundary conditions are: i) vanishing of the normal component of velocity and slip condition on the inner (solid) surface, ii) continuity of the normal component of velocity and vanishing of vorticity on the outer (cell) surface. The authors obtain expressions for the stream function in the cases of coaxial cylinders, concentric spheres, deformed spheres (in particular oblate spheroid). The drag forces are calculated for all cases above.
scientific article; zbMATH DE number 1870288