Transport Phenomena in Wall Turbulence - Transport and Coherent Structures in Wall Turbulence - page 83

The dissipation in inner variables is heavily dependent on
the Reynolds number in the inner layer, particularly at the
wall where we can clearly see that

ε *+ increases in line with

. Re

τ

( )

1/ 4
3*
K

obtained in the same conditions are shown in Figure 2.8. We
can see that

The profiles of the Kolmogorov scale

ηνε =

( )

− 1/ 4

is approximately 1.5 at y + ≤

20 . The
Kolmogorov scale in inner variables increases progressively
toward the center of the channel, and decreases as the
Reynolds number increases, as might be expected.

+ *

K

+

ηε =

Figure 2.8. Kolmogorov scale in inner variables in a fully developed
turbulent channel flow according to the DNS performed by
Bauer [BAU 14]

The last group of terms in equation [2.40], which is a
consequence of the intercorrelations of the gradients,
disappears when we have homogeneous turbulence which is
invariant in relation to the translations and rotations of the