Drag and torque on a slowly translating disk in a rotating fluid; Effects of a plane wall, another disk or a side wall

A previously presented analytical method for determining the Stokes drag on a disk sedimenting in the presence of fixed boundaries (Davis, 1990) is adapted to the case of a disk translating broadside in a rotating fluid, possibly with relative rotation. By carefully simplifying the potentially lengthy algebra, concise formulations are again developed for the cases of two disks translating together with opposite relative rotations, a disk translating towards a rigid plane that rotates with the fluid and a disk translating within a similarly rotating concentric circular container. Flows that are asymmetric allow the possibility of adjusting the relative rotation so that the disk is torque free. Values of the Taylor number, based on the disk radius, up to 50 are considered.