Reynolds Equation and Mixing Length Model

Turbulent Flow Between Two Parallel Plates

Law of the Wall

We expect the solution to (14) to be given as

Law of the Wall:

,

(15)

with boundary conditions  and , and the shapes of  and  are to be found experimentally.

Velocity Defect Law

In the core region, the turbulent stresses are given by (13) and the mean velocity is given as

,

(16)

The velocity gradients from (15) and (16) may be found, i.e.

,

(17)

and

.

(18)