Note: We have already averaged to get Navier-Stokes. There we used "fundamental physics" and 10-8 cm basic dL. ( actually this "fundamental average" averages over quantum effects over length scales of 10-13 cm ) |
So Reynolds averaging is a "new average" |
The Reynolds averaged equations need TURBULENCE MODELING done by mix of the theoretical analysis and experimental observations. |
The Reynolds Averaging Procedure at its simplest gives back the Navier-Stokes Equations with changed parameters (such as viscosity) and additional external force terms. These are estimated by turbulence modelling. The most sophisticated treatments add one or two additional differential equations to be solved. |