Wave diffraction on the surface of viscous liquid flowing around a circular cylinder

The motion of fluid due to the interaction of an incident gravitational wave spreading on the surface of viscous incompressible fluid with a circular cylinder having vertical elements is considered. A nonlinear boundary-value problem is reduced to determining the vertical component of a velocity vector represented by a sum of potential and rotational parts. The problem is solved for the small-amplitude oscillations. The comparison of the velocity field between the ideal and viscous liquids is made.