Reynolds Equation and Mixing Length Model

Turbulent Flow Between Two Parallel Plates

Kolmogorov Scale

In the inertial sublayer  and . The turbulent production then is given as

(35)

Experiment shows that in the inertial sublayer, production is equal to dissipation:

(36)

Kolmogorov scale  is given by

(37)

Let

(37)

then

, .

(38)

The turbulent macroscale near the wall is given as

(39)

or

(40)

Table of variation of the scales near a wall

From the table and the schematics diagram, it is observed that for ,  and a turbulent flow cannot exist.