The slow motion of a small sphere between two concentric circular cylinders filled with a viscous incompressible fluid is investigated theoretically on the basis of the Stokes equation. The force experienced by the sphere translating in an arbitrary direction is determined up to the first order effect of the walls. The several different cases investigated previously are included in this study; the case of a single plane wall, the case of two parallel plane walls and the cases of the outside and inside regions of a circular cylinder. However small its radius is, the effect of the inner cylinder can not be neglected.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)