Nonlinear wave disturbances of viscous fluid (Q2754736)

The universal phenomenon of integration or averaging of a part of energy changing with high frequency into slow motion, thus balancing action of rapidly changing component, in viscous fluid becomes apparent under effects of stationary transport as a result of fluid wave disturbance. In the paper, governing equations of the phenomenon are derived from general Navier-Stokes equations, and the order of induced mean velocity is estimated. Equations for the mean reaction of fluid express its magnitude in terms of averaged velocities of, in general case, turbulent motion. Corresponding formulae for tangential stresses acting in the averaged field are also derived.