Examples

Through a pipe with a nominal width of 0,425 m and a length of 6 km 0,2 m³/s water at a temperature of 10^o C shall be conveyed.

The pipe is horizontal and has fittings with a complete friction factor of 18. Wall roughness  k = 0,05 mm

What is the complete pressure drop DP?

DP  =  2.259 bar

A pipeline (Nw=0.42 m, k=0.5 mm) has a mass flow rate of 4,85 kg/s of steam  (upstream temperature  t1 = 170°C,  upstream pressure  P1 = 2.4 bar).

The heat loss of the pipe is 17.5 W/m.

What is the pressure of the steam after passing 2km pipe length.

Properties:

Molecular weight                     MW         =              18 kg/ kmol

Dyn. Viscosity                          h              =              1,49 · 10^-2  mPa · s

Compr. factor                           Z              =              1,017

Density                                      r_E            =              1,194 kg/m³

Spec. heat capacity                 cp           =              2067 J/(kg·K)

Þ               Downstream pressure P2  =  177771 Pa