Reynold's Equation: Navier-Stokes to Const. Density Flow

[mekrob]

Hi,

I've been asked to turn the Navier-Stokes Equation (incompressible flow, constant density) into the Reynold's Equation. However, I can't find the Reynold's equation in my notes or book. I don't need help solving the problem, I just need to know the end result, otherwise I have no idea what I'm working towards.

Thanks.

 

[arildno]

Reynold's equation is the time-averaged N-S equation when we explicitly regard the velocity field as random.
The main feature that will pop up will be "Reynolds' stress tensor", which is, in essence, the non-linear products of the random perturbations that affects the evolution of the avereged velocity field.