Particle motion in Stokes flow near a plane fluid-fluid interface. Part 1. Slender body in a quiescent fluid.

Abstract

Considers translation and rotation, each in three mutually orthogonal directions, thus determining the components of the hydrodynamic resistance tensors which relate the total hydrodynamic force and torque on the particle to its translational and angular velocities for a completely arbitrary translational and angular motion. Calculates trajectories for a freely rotating particle under the action of an applied force either normal or parallel to a flat interface.-from Authors