Fanning friction factor, f p
0.04
0.03
Laminar
flow,
f = 16/Re
0.02
0.01
0.008
0.007
0.006
0.005
0.004
0.003
Rough-
ness
ratio
Turbulent
flow
0.02
0.01
0.006
0.004
0.002
0.001
0.0006
0.0004
0.0002
0.0001
Smooth
pipe
0.002
1000
104
105
106
107
Reynolds number, Re
Fig. 3.10 Fanning friction factor for flow in pipes. The tur-
bulent region is based on the Colebrook and White equation.
16
Re
2.) The Fanning friction factor for laminar flow is $f_p = \frac{16}{Re}$. Prove mathematically why this
relation is represented by a straight line on Fig. 3.10. Using any two points on the line, verify that
the slope of the line is what you expect from your proof.
