On peculiarities of a liquid flow in a gravity field

A problem is formulated and solved on the motion of a viscous liquid in a gravity field. The liquid is in contact with solid walls. The boundary of one of the walls is permeable for the liquid. The liquid is exposed by oscillatory influences which have no predominant direction in space. The problem formulation includes the equation of Navier–Stokes, the equation of continuity, and the conditions at the solid boundaries of the liquid (at the boundaries of the walls). In particular, the new hydro-mechanical effect is revealed which consists in that the liquid behaves paradoxically, that is (at a background of oscillations) the liquid performs a steady motion in the direction which is opposite the direction of the acceleration of free falling.