Formula and method
Worked example
Example: 10 m³/h, 50 mm bore, 20 m length, ε = 0.045 mm, ρ = 1000 kg/m³, μ = 1 mPa·s and ΣK = 2. Check velocity and flow regime before reviewing the losses.
Assumptions and limits
- Flow must be positive; length, roughness and ΣK may be zero. The maximum accepted ε/D is 0.05.
- Results for 2000 < Re < 4000 are transition-flow estimates. The Darcy factor is used; the Fanning factor is one quarter of it.
- ΣK must reference the velocity at the entered bore. Defaults are demonstration values, with no automatic material or temperature selection; 1 mPa·s = 1 cP.
- The result covers resistance losses only, excluding elevation, pump head, developing entrance flow, cavitation and transients. It does not model gases, two-phase flow or non-Newtonian fluids.
Frequently asked questions
Should I enter nominal size or internal diameter?
Enter the actual internal diameter. DN, NPS and outside diameter do not give the actual flow bore; obtain it from the pipe specification.
Why does viscosity change the pressure loss?
Viscosity changes Reynolds number and the friction factor. Enter dynamic viscosity in mPa·s; do not enter kinematic viscosity in cSt directly.
Can I select a pump from this result alone?
Also account for elevation, endpoint pressures, other equipment losses and the pump curve. This calculation gives the resistance loss of the entered pipe section.