Stokesian dynamics simulations of particle trajectories near a plane

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Abstract
The trajectories of spherical particles close to a plane in shear flow are computed, taking into account lubrication forces and many-body hydrodynamic interactions between spheres, and between spheres and the plane. It is shown that the relative motion of two particles may be reversed by the presence of the plane, and eddylike recirculation motions can occur. The resistance coefficient of a linear chain of N spheres is calculated as a function of the distance of the chain from the plane, and is shown to agree well with a simple model based on a screening coefficient derived from a single pair of spheres.