Note on the Drag on a Circular Cylinder moving with Low Speeds in a Semi-infinite Viscous Liquid bounded by a Plane Wall

The steady slow motion of a circular cylinder in a semi-infinite viscous liquide bounded by a plane wall is discussed on the basis of Stokes' equations of motion, assuming that the cylinder is moving parallel to the bounding wall. It is shown that the components of velocity satisfying the boundary conditions on the bounding plane wall as well as at the surface of the cylinder, satisfy also automatically the conditions at infinity. A second approximation for the drag on the circular cylinder is obtained. As far as higher order terms are neglected, it is in perfect agreement with the first approximation obtained recently by the present writer on the basis of Oseen's linearized equations of motion.