Large- and Very Large-scale Structures - Transport and Coherent Structures in Wall Turbulence - page 417

the buffer sublayer at , according to the results of the

experiments performed by these authors.

y + = 20

Figure 6.28. Contours of a) the spanwise velocity and b) the Reynolds
shear stress at

y +

. The quantities are taken at their
respective mean square values. The domain is identical to that which is
used in Figure 6.26

= 15

and Re

τ =

1,100

There is another argument to be made in favor of
independence of the Reynolds number on the part of the
structures

. By combining the
continuity equation with that of the wall-normal vorticity,
we can easily show that the Fourier transform

LL

+

>>

+

that transport uv

−

x z

( )

u k yk in
a homogeneous plane y is linked to the wall-normal vorticity

,,

x z

, by ω

y

v
u kk y kk

ι k ⎛ ⎞ ∂ ι k

[6.10]

=

x

−

z

ω

⎜ ⎟

y

2 2 2 2

+ ∂ +

⎝ ⎠

x z x z