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Liquid Pipeline Pressure Loss From The Moody Diagram

Calculate pressure loss for single phase liquid pipelines and ducts 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..

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CALCULATOR : Single Phase Liquid Pipeline Pressure Loss From Moody Diagram [FREE]   ±

Calculate liquid pipeline outlet pressure from flow rate and diameter using the Moody diagram.

The Moody diagram combines the Hagen-Poiseuille laminar flow equation with the Colebrook White turbulent flow equation (either the original Colebrook White equation or the modified Colebrook White equation).

Tool Input

  • schdtype : Pipe Schedule Type
  • diamtype : Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • visctype : Viscosity Type
    • μu : User Defined Dynamic Viscosity
    • νu : User Defined Kinematic Viscosity
  • voltype : Fluid Flow Rate Type
    • Qu : User Defined Volume Flow Rate
    • Mu : User Defined Mass Flow Rate
    • Vu : User Defined Fluid Velocity
    • Reu : User Defined Reynolds Number
  • rfactype : Pipe Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • ρ : Fluid Density
  • L : Pipe Length
  • K : Minor Loss K Factor
  • zi : Inlet Elevation Relative To Datum
  • zo : Outlet Elevation Relative To Datum
  • Pi : Inlet Pressure

Tool Output

  • ΔP : Friction Pressure Loss
  • μ : Dynamic Viscosity
  • ID : Inside Diameter
  • M : Mass Flowrate
  • Po : Outlet Pressure
  • Q : Volume Flowrate
  • Re : Reynolds Number
  • V : Fluid Velocity
  • cvg : Convergence Factor (≅ 1)
  • fd : Darcy Friction Factor
  • ff : Fanning Friction Factor
  • rr : Surface Roughness Ratio
  • td : Darcy Transmission Factor
  • tf : Fanning Transmission Factor
CALCULATOR : Water Pipeline Pressure Loss From Moody Diagram [FREE]   ±

Calculate water pipeline outlet pressure from volume flow rate and diameter using the Moody diagram.

The Darcy-Weisbach friction factor may be calculated using either the Hagen-Poiseuille laminar flow equation, the original Colebrook White equation, the modified Colebrook White equation, or may be user defined. The water properties can be set for fresh water or salt water.

Tool Input

  • schdtype : Pipe Schedule Type
  • diamtype : Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • wtype : Water Type
  • voltype : Fluid Flow Rate Type
    • Qu : User Defined Volume Flow Rate
    • Mu : User Defined Mass Flow Rate
    • Vu : User Defined Fluid Velocity
    • Reu : User Defined Reynolds Number
  • rfactype : Pipe Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • L : Pipe Length
  • K : Minor Loss K Factor
  • zi : Inlet Elevation Relative To Datum
  • zo : Outlet Elevation Relative To Datum
  • Pi : Inlet Pressure

Tool Output

  • ΔP : Friction Pressure Loss
  • μ : Water Dynamic Viscosity
  • ρ : Water Density
  • ID : Inside Diameter
  • M : Mass Flowrate
  • Po : Outlet Pressure
  • Q : Volume Flowrate
  • Re : Reynolds Number
  • V : Fluid Velocity
  • cvg : Convergence Factor (≅ 1)
  • fd : Darcy Friction Factor
  • ff : Fanning Friction Factor
  • rr : Surface Roughness Ratio
  • td : Darcy Transmission Factor
  • tf : Fanning Transmission Factor
CALCULATOR : Single Phase Liquid Pipeline Pressure Loss General [FREE]   ±

Calculate general liquid pipeline outlet pressure from flow rate and diameter using the Moody diagram.

The Moody diagram combines the Hagen-Poiseuille laminar flow equation with the Colebrook White turbulent flow equation (either the original Colebrook White equation or the modified Colebrook White equation).

Tool Input

  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • ρ : Fluid Density
  • ID : Pipe Inside Diameter
  • r : Pipe Inside Surface Roughness
  • L : Pipe Length
  • K : Minor Loss K Factor
  • zi : Inlet Elevation Relative To Datum
  • zo : Outlet Elevation Relative To Datum
  • Pi : Inlet Pressure
  • μ : Dynamic Viscosity
  • Q : Volume Flowrate

Tool Output

  • ΔP : Friction Pressure Loss
  • M : Mass Flowrate
  • Po : Outlet Pressure
  • Re : Reynolds Number
  • V : Fluid Velocity
  • cvg : Convergence Factor (≅ 1)
  • fd : Darcy Friction Factor
  • rr : Surface Roughness Ratio
CALCULATOR : Single Phase Liquid Pipeline Darcy Friction Factor [FREE]   ±

Calculate liquid pipeline Darcy Weisbach friction factor from Renolds number and pipe roughness.

The Darcy-Weisbach friction factor may be calculated using either the Hagen-Poiseuille laminar flow equation, the original Colebrook White equation, the modified Colebrook White equation, the Prandtl Nikuradse smooth pipe equation, the Blasius smooth pipe equation, the Colebrook smooth pipe equation, the Miller smooth pipe equation, the Konakov smooth pipe equation, the Von Karman rough pipe equation, or user defined.

The Fanning friction is equal to the Darcy friction factor divided by four. The transmission factor equals the inverse of the square root of the friction factor.

Tool Input

  • schdtype : Pipe Schedule Type
  • diamtype : Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • visctype : Viscosity Type
    • μu : User Defined Dynamic Viscosity
    • νu : User Defined Kinematic Viscosity
  • voltype : Fluid Flow Rate Type
    • Qu : User Defined Volume Flow Rate
    • Mu : User Defined Mass Flow Rate
    • Vu : User Defined Fluid Velocity
    • Reu : User Defined Reynolds Number
  • rfactype : Pipe Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • fdtype : Darcy Friction Factor Type
    • fu : User Defined Darcy Friction Factor
  • ρ : Fluid Density

Tool Output

  • μ : Dynamic Viscosity
  • ID : Inside Diameter
  • M : Mass Flowrate
  • Q : Volume Flowrate
  • Re : Reynolds Number
  • V : Fluid Velocity
  • cvg : Convergence Factor (≅ 1)
  • fd : Darcy Friction Factor
  • ff : Fanning Friction Factor
  • rr : Surface Roughness Ratio
  • td : Darcy Transmission Factor
  • tf : Fanning Transmission Factor
CALCULATOR : Single Phase Liquid Pipeline Equivalent Length And K Factor [FREE]   ±

Calculate single phase liquid pipeline minor loss factors through a fitting (valve, tee, reducer, enlarger etc...).

Enter the minor loss factor as either the K factor, the equivalent length, the equivalent diameters, or the flow coefficient (Av, Kv, Cv units). Change flow coefficient units on the setup page. The Darcy friction factor is required to calculate the equivalent length and equivalent diameters. Use either the laminar flow equation, the original Colebrook White equation, or the modified Colebrook White equation from the Moody diagram. The Darcy friction factor can also be user defined.

Tool Input

  • schdtype : Pipe Schedule Type
  • diamtype : Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • visctype : Viscosity Type
    • μu : User Defined Dynamic Viscosity
    • νu : User Defined Kinematic Viscosity
  • voltype : Fluid Flow Rate Type
    • Qu : User Defined Volume Flow Rate
    • Mu : User Defined Mass Flow Rate
    • Vu : User Defined Fluid Velocity
    • Reu : User Defined Reynolds Number
  • rfactype : Pipe Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • kfactype : Minor Loss Factor Type
    • ku : User Defined Minor Loss K Factor
    • lu : User Defined Minor Loss Length
    • lodu : User Defined Minor Loss Diameters
    • fvu : User Defined Minor Loss Flow Coefficient
  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • ρ : Fluid Density

Tool Output

  • μ : Dynamic Viscosity
  • ID : Inside Diameter
  • K : Minor Loss K Factor
  • M : Mass Flowrate
  • Q : Volume Flowrate
  • Re : Reynolds Number
  • V : Fluid Velocity
  • cvg : Convergence Factor (≅ 1)
  • fd : Darcy Friction Factor
  • ff : Fanning Friction Factor
  • fv : Minor Loss Flow Coefficient
  • l : Minor Loss Equivalent Length
  • lod : Minor Loss Diameters
  • rr : Surface Roughness Ratio
  • td : Darcy Transmission Factor
  • tf : Fanning Transmission Factor
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