Nikuradse Formula Modules

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.

Change Module :

• Liquid Pipeline Chemical Dose Rate Calculation Module
• Liquid Pipeline Fluid Density Viscosity And Specific Gravity Calculation Module
• Liquid Pipeline Fluid Mass And Volume Calculation Module
• Liquid Pipeline Fluid Velocity And Flow Rate Calculation Module
• Liquid Pipeline Local Pressure Calculation Module
• Liquid Pipeline Minor Loss Factor Calculation Module
• Liquid Pipeline Pressure Loss From The AGA Equation Calculation Module
• Liquid Pipeline Pressure Loss From The Moody Diagram Calculation Module
• Liquid Pipeline Unit Weight Calculation Module
• Liquid Pipeline Vent Calculation Module
• Liquid Rectangular Duct Pressure Loss Calculation Module
• Water Open Channel Or Culvert Flow Rate From The Manning Equation Calculation Module
• Water Pipeline Pressure Loss From The Hazen Williams Equation Calculation Module
• All

Related Modules :

• Fluid Density And Volume Calculation Module
• Line Pipe Cross Section Calculation Module
• Liquid Kinematic And Dynamic Viscosity Calculation Module
• More Pipeline Schedule Modules

Calculate pressure loss for single phase gas pipelines using the Darcy Weisbach version of the Moody Diagram.

`fdl = 64/(Re) `
`1/(√fdo) = -2 log10(r/3.7 + 2.51 / (Re √(fdo))) `
`1/(√fdm) = -2 log10(r/3.7 + 2.825 / (Re √(fdm))) `

where :

fdl = Hagen-Poiseuille laminar flow equation Darcy friction factor
fdo = original Colebrook White equation Darcy friction factor
fdm = modified Colebrook White equation Darcy friction factor
Re = Reynolds number
r = relative roughness

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 version of the Moody diagram. The Fanning transmission factor combined with the Fanning equation is commonly used for gas flow. The results for the Darcy and Fanning equations are identical provided that the correct friction factor is used.

`ff = (fd) / 4 `
`tf = 1 / (√ff)= 2 / (√fd) `

where :

fd = Darcy friction factor
ff = Fanning friction factor
tf = Fanning transmission factor

The gas specific gravity is the ratio of gas density over the density of dry air at base temperature and pressure. The compressibility factor is assumed to equal 1 at the base conditions. The gas specific gravity is proportional to the gas molar mass.

Change Module :

• Gas Pipeline Blowdown Time Calculation Module
• Gas Pipeline Chemical Dose Rate Calculation Module
• Gas Pipeline Fluid Density And Specific Gravity Calculation Module
• Gas Pipeline Fluid Mass And Volume Calculation Module
• Gas Pipeline Fluid Velocity And Flow Rate Calculation Module
• Gas Pipeline Line Pack Calculation Module
• Gas Pipeline Local Pressure Calculation Module
• Gas Pipeline Mass And Weight Calculation Module
• Gas Pipeline Minor Loss Factor Calculation Module
• Gas Pipeline Pressure Loss From The AGA Equation Calculation Module
• Gas Pipeline Pressure Loss From The Darcy Weisbach Equation Calculation Module
• Gas Pipeline Pressure Loss From The Weymouth And Panhandle Equation Calculation Module
• Gas Pipeline Vent Calculation Module
• Gas Rectangular Duct Pressure Loss Calculation Module
• Low Pressure Air Pressure Loss From The Moody Diagram Calculation Module
• All

Related Modules :

• Gas Compressibility Factor Calculation Module
• Line Pipe Cross Section Calculation Module
• Liquid Kinematic And Dynamic Viscosity Calculation Module
• More Moody Diagram Modules