Page 105 - Computational Fluid Dynamics for Engineers
P. 105
3.5 Initial Conditions 91
100,000
Fig. 3.2. Dimensionless velocity distribution in the inner layer.
^ • • * § > •
*<t*#>
iie__u 1Q
O Klebanoff-Diehl
# Schultz-Grunow
D Hama
A Hama-Rough VVall
0 0.2 0.4 0.6 0.8 1.0
y/8
Fig. 3.3. Universal plot of turbulent velocity profiles in zero pressure gradient.
approximately) and, most significantly, independent of surface roughness and
mass transfer.
The whole velocity profile in a turbulent boundary layer can be described
by the formula proposed by Coles [20]
+
u + = h(y ) + I ^-w{r 1) (3.5.6)
where r) = y/8, and the function w{rj) can be approximated by
