
doi: 10.1007/bf02829798
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.
slip boundary conditions, particle-in-cell models, PDEs in connection with fluid mechanics, Stokes and related (Oseen, etc.) flows, stationary Stokes flow
slip boundary conditions, particle-in-cell models, PDEs in connection with fluid mechanics, Stokes and related (Oseen, etc.) flows, stationary Stokes flow
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