Reynolds Equation and Mixing Length Model

Turbulent Flow Between Two Parallel Plates

Consider a turbulent flow field between two parallel plates as shown in the figure.

The Reynolds Equation for the mean turbulent motion is given by

(1)

Mean Flow Equations

Let

.

(2)

Equation (1) leads to

x-comp: ,

(3)

y-comp: .

(4)

Integrating Equation (4), we find

, or .

(4)