Slow Motion of a Small Sphere in a Viscous Fluid in a Corner I. Motion on and across the Bisector of a Wedge

A theoretical study is made of the slow motion of a small sphere in an incompressible viscous fluid in a wedge-shaped domain bounded by two plane walls. Forces and torques experienced by the sphere which is translating in any direction without rotation on and across the bisector of the wedge are calculated up to the first-order effect of the boundary on the basis of the Stokes equations.