Incorporating boundary constraints to predict mean velocities in turbulent channel flow

We derive exact near-wall and centerline constraints and apply them to improve a recently proposed LPR model for finite Reynolds number (Re) turbulent channel flows. The analysis defines two constants which are invariant with Re and suggests two more layers for incorporating boundary effects in the prediction of the mean velocity profile in the turbulent channel. These results provide corrections for the LPR mixing length model and incorrect predictions near the wall and the centerline. Moreover, we show that the analysis, together with a set of well-defined sensitive indicators, is useful for assessment of numerical simulation data.