Calculate single phase liquid pipeline pressure loss using the Darcy Weisbach equation.
`Po = P - (fd L / (ID) + K) 1/2 ρ V^2 + ρ g (zi - zo) `
where :
Po = outlet pressure
P = inlet pressure
fd = Darcy friction factor
L = piping length
ID = piping inside diameter
K = total friction loss factor for fittings
ρ = fluid density
V = fluid velocity
g = gravity constant
zi = inlet elevation
zo = outlet elevation
The Darcy friction factor can be calculated for
- Hagen-Poiseuille laminar flow equation
- original Colebrook White equation
- modified Colebrook White equation
- Prandtl Nikuradse smooth pipe equation
- Blasius smooth pipe equation
- Colebrook smooth pipe equation
- Miller smooth pipe equation
- Konakov smooth pipe equation
- Von Karman rough pipe equation
For low Reynolds numbers Re < 2000, the fluid flow is laminar and the Darcy friction factor should be calculated using the Hagen-Poiseuille laminar flow equation. For high Reynolds numbers Re > 4000, the fluid flow is turbulent and the Darcy friction factor should be calculated using one of the turbulent flow equations. In the transition region 2000 < Re < 4000, the flow is unstable and the friction loss cannot be reliably calculated. The minor loss K factor is used to account for pipeline fittings such as bends, tees, valves etc..
The calculators use the Darcy-Weisbach pressure loss equation. The Fanning friction factor is used with the Fanning pressure loss equation. The transmission factors are commonly used for gas flow. The results for the Darcy and Fanning equations are identical provided that the correct friction factor is used.
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