Slow translation, rotation or oscillation of a disk in a rotating fluid: effect of a plane wall or another disk

The steady axial translation and rotation of a circular disk in a rotating viscous fluid is examined as a function of the Taylor number. Both the effect of a second nearby disk and the presence of a plane upper boundary are studied for a wide range of separation distances. A compact solution procedure, based upon a dual integral equation approach, is outlined and also applied to the study of oscillatory disk motion in a rotating fluid. The effects of a wall or a second particle provide insight into multiparticle interactions in rotating fluid systems, which have not received a systematic treatment to date.