Abstract:

In the paper, with application of fundamental laws of tensor analysis, without introducing of any assumptions, is stated the definition of turbulent stress tensor and is shown that, if the surface that restricts the flow, does not generate transients, forced oscillations, and inside the flow have a stationary turbulent flow, then the behavior of the change of average velocity and density in space uniquely determines the turbulent stress tensor at any point within the flow

Keywords: Stress tensor; Reynolds problem; problem of turbulence; Navier-stokes equations system.