The Forces on a Circular Cylinder moving with Low Speeds in a Semi-infinite Viscous Liquid bounded by a Plane Wall

Abstract

The steady slow motion of a circular cylinder in a semi-infinite viscous liquid bounded by a plane wall is discussed on the basis of Oseen's linearized equations of motion, assuming that the cylinder is moving parallel to the bounding wall. The forces acting on the cylinder are calculated to Lamb's approximation. By carrying out detailed numerical calculations, it is shown that at sufficiently small Reynolds numbers the drag on the cylinder is of the Stokes type, as in the case of White's experiments on metal wires moving with low speeds in a viscous liquid bounded by two parallel Plane walls. It is also shown that the cylinder experiences a repulsive force from the bounding wall.