IV. On the second approximation to the "oseen” solution the motion of a viscous fluid

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Abstract
In a recent paper the author obtained expressions for the forces on a stationary cylinder in a steady stream of incompressible viscous fluid and showed that the force transverse to the stream follows the well-known Kutta-Joukowski law, whereas the force in the direction of the stream itself is given by a similar law, involving, instead of the circulation, an outward radial flow, compensated by an intake along a “tail” behind the cylinder. These results were obtained by considering the motion at a distance from the cylinder, and assuming that the velocities of disturbance from the uniform stream were so small that, at a sufficient distance, their squares and products could be neglected both in the equations of motion and in the integrals round a circle of large radius, in terms of which the forces on the cylinder were expressed.

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