Creeping flow translational resistance of rigid assemblies of spheres

Abstract
The creeping flow translational resistance of dimers and tetrahedral tetramers was measured using spheres glued to each other. The results for the dimer were in excellent agreement with exact theory. Computations based on the modified Oseen tensor differed in the case of the tetramer by 9% from the observed value. Dramatically improved results were obtained by modeling the objects as shells of spherical beads and extrapolation to an infinite number of beads of infinitesimal size. The calculations were extended to other rigid assemblies of spheres.