UPF_cw_f(): Friction loss with Colebrooke-White equation

About:

Calculate the friction loss in a pipe, with uniform flow according to the Colebrook-White equation. 

\begin{equation} \frac{1}{\sqrt{f}} = -2 \times \log{\left( \frac{e}{3,7 \times D} + \frac{2.51}{Re \times \sqrt{f}}\right)} \end{equation} 

\begin{equation} f = \left( \frac{1}{-2 \times \log{\left( \frac{e}{3,7 \times D} + \frac{2.51}{Re \times \sqrt{f}} \right)}} \right)^2 \end{equation}

Where,

q, flow - $\frac{m^3}{s}$;

e, pipe roughness - $m$;

$\nu$, water kinematic viscosity » WATER_viscosity_kvisc() - $\frac{m^2}{s}$;

d, internal diameter - $m$.

Module: UniformPressurizedFlow

Function: UPF_cw_f(q,e,t,s,d)

Definition of variables:

• q, flow - m3/s;
• e, pipe roughness - m;
• t, temperature - ºC;
• s, salinity - g/kg;
• d, internal diameter - m.

Sample code:

from UniformPressurizedFlow import*

q= 1.0 #(m3/s)
e= 0.000003 #(m)
t = 15 #(oC)
s = 2.5 #(g/kg)
d= 0.75 #(m)

f = UPF_cw_f(q,e,t,s,d)

print("f:",f,"m/m")

Result:

f: 0.010998773939 m/m