Outside the viscous sublayer the shear stress will be produced entirely by turbulent eddies. Here "l" may be taken equal to the local distance x2. Then
or
|
(12.7) |
where
is the constant of proportionality.
|
(12.8) |
using (12.3) and (12.7) we obtain
|
(12.9) |
This is a positive quantity. Now from (12.8) it can be concluded that
|
(12.7) |
Thus the vorticity transport term
represents a decleration effect. The equilibrium is maintained by the voretx stretching force.
|