Motion of a rigid particle in a rotating viscous flow: an integral equation approach

A boundary integral method is presented for analysing particle motion in a rotating fluid for flows where the Taylor number is arbitrary and the Reynolds number is small. The method determines the surface traction and drag on a particle, and also the velocity field at any location in the fluid. Numerical results show that the dimensionless drag on a spherical translating along the rotation axis of an unbounded fluid can be determined. A further study examines the translation of spherical particles. For large Taylor numbers, the drag is determined by the equatorial radius.