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Nonlinear Wave on the Surface Layer of a Viscous Liquid

The nonlinear problem of the propagation of waves on the free surface of the layer of viscous incompressible fluid of infinite depth in the plane case. Using small parameter method, this nonlinear problem is decomposed into problems in the first two approximations that consistently allowed. Nonlinear expressions for the components of the velocity vector, the dynamic pressure and the shape of the free surface. The motion of particles of the viscous fluid caused by the spread of the wave of the free surface.

Flow a Round Cylinder by Waves Extending on the Viscous Liquid Surface

Some marine hydro technical constructions have such support elements as piles in the form of vertical round cylinders. Questions about the incident wave’s interaction with such barriers and identification of wave regime on the fenced water areas has as the theoretical as the practical concern.We shall consider the motion of liquid, caused by the interaction of incoming gravitational wave, spreading on the surface of the viscous incompressible liquid coat with an infinitely long round cylinder. The problem was solved for the case of small oscillations.