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API 520 Darcy Friction Factor

Calculate API 520 Darcy friction factor and pressure loss factor for single phase liquid and single phase gas.

The Darcy friction factor can be caclulated from either the Moody diagram or the Von Karman rough pipe equation (API 520 Annex E).

At high Reynolds numbers the Moody diagram friction factor is fully turbulent and is dependent on the pipe roughness only. The pressure loss factor (fLe/ID) includes minor losses. Minor losses can be entered as either a K factor, an equivalent added length, or an equivalent added length over diameter ratio.

Reference : API 520 Sizing, Selection And Installation Of Pressure Relieving Devices (2014)

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CALCULATOR : API 520 Gas Duct Pressure Loss Factor From The Moody Diagram [PLUS]   ±

Calculate gas pipe Darcy friction factor and pressure loss factor from either the Moody diagram or the Von Karman rough pipe equation (API 520 Annex E).

The Darcy friction factor can be calculated using either the Hagen-Poiseuille laminar flow equation (Re ≤ 2000), the original Colebrook White equation, the modified Colebrook White equation, or the Von Karman rough pipe equation. The laminar flow equation should be used for Reynold numbers &le: 2000, The rough pipe equation can be used for fully turbulent flow with Renolds number ≥ 1e5 - 1e6, depending on the pipe roughness. Refer to the Moody diagram.

The pressure loss factor (fLe/ID) can include minor losses, either as a K factor, an equivalent added length, or an equivalent added length over diameter ratio. The fluid flowrate can be entered as either fluid velocity, Mach number, mass flowrate, mole flowrate, or Reynolds number. Pipe diameter can be calculated for either the NPS, ISO, GOST or general pipe schedule.

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
  • rfactype : Pipe Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • fluidtype : Fluid Type
    • γu : User Defined Specific Heat Ratio
    • SGu : User Defined Gas Specific Gravity
  • zfactype : Factor Type
    • Zu : User Defined Compressibility Factor
  • vctype : Speed Of Sound Type
    • Cu : User Defined Sound Velocity
  • machtype : Flow Rate Type
    • Vu : User Defined Velocity
    • Mu : User Defined Mach Number
    • mfu : User Defined Mass Flow Rate
    • ngu : User Defined Mole Flow Rate
    • Reu : User Defined Reynolds Number
  • visctype : Viscosity Type
    • μu : User Defined Dynamic Viscosity
    • νu : User Defined Kinematic Viscosity
  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • leqtype : Minor Pressure Loss Type
    • Ku : User Defined Minor Loss K Factor
    • lu : User Defined Minor Loss Length
    • lodu : User Defined Minor Loss Diameters (L/ID)
    • Leu : User Defined Equivalent Length
    • fL/Du : User Defined Pressure Loss Factor
  • P : Fluid Pressure
  • T : Fluid Temperature
  • L : Pipe Length

Tool Output

  • γ : Specific Heat Ratio
  • μ : Dynamic Viscosity
  • ρ : Fluid Density
  • Ax : Nominal Cross Section Area
  • C : Speed Of Sound
  • ID : Inside Diameter
  • Le : Pipe Eqivalent Length
  • M : Flow Mach Number
  • Qf : Volume Flowrate
  • Re : Reynolds Number
  • Rg : Specific Gas Constant
  • SG : Gas Specific Gravity Relative To Air
  • V : Fluid Velocity
  • Z : Compressibility Factor
  • cvg : Convergence Factor (≅ 1)
  • fL/D : Pressure Loss Factor Including Minor Losses
  • fd : Darcy Friction Factor
  • mf : Mass Flowrate
  • mmg : Gas Molar Mass
  • ng : Mole Flow Rate
  • rr : Surface Roughness Ratio
  • vg : Mole Specific Volume

CALCULATOR : API 520 Steam Duct Pressure Loss Factor From The Moody Diagram [PLUS]   ±

Calculate steam pipe Darcy friction factor and pressure loss factor from either the Moody diagram or the Von Karman rough pipe equation (API 520 Annex E).

The Darcy friction factor can be calculated using either the Hagen-Poiseuille laminar flow equation (Re ≤ 2000), the original Colebrook White equation, the modified Colebrook White equation, or the Von Karman rough pipe equation. The laminar flow equation should be used for Reynold numbers &le: 2000, The rough pipe equation can be used for fully turbulent flow with Renolds number ≥ 1e5 - 1e6, depending on the pipe roughness. Refer to the Moody diagram.

The pressure loss factor (fLe/ID) can include minor losses, either as a K factor, an equivalent added length, or an equivalent added length over diameter ratio. The fluid flowrate can be entered as either fluid velocity, Mach number, mass flowrate, mole flowrate, or Reynolds number. Pipe diameter can be calculated for either the NPS, ISO, GOST or general pipe schedule.

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
  • rfactype : Pipe Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • fluidtype : Specific Heat Ratio Type
    • γu : User Defined Specific Heat Ratio
  • zfactype : Factor Type
    • Zu : User Defined Compressibility Factor
  • vctype : Speed Of Sound Type
    • Cu : User Defined Sound Velocity
  • machtype : Flow Rate Type
    • Vu : User Defined Velocity
    • Mu : User Defined Mach Number
    • mfu : User Defined Mass Flow Rate
    • ngu : User Defined Mole Flow Rate
    • Reu : User Defined Reynolds Number
  • visctype : Viscosity Type
    • μu : User Defined Dynamic Viscosity
    • νu : User Defined Kinematic Viscosity
  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • leqtype : Minor Pressure Loss Type
    • Ku : User Defined Minor Loss K Factor
    • lu : User Defined Minor Loss Length
    • lodu : User Defined Minor Loss Diameters (L/ID)
    • Leu : User Defined Equivalent Length
    • fL/Du : User Defined Pressure Loss Factor
  • P : Fluid Pressure
  • T : Fluid Temperature
  • L : Pipe Length

Tool Output

  • γ : Specific Heat Ratio
  • μ : Dynamic Viscosity
  • ρ : Fluid Density
  • Ax : Nominal Cross Section Area
  • C : Speed Of Sound
  • ID : Inside Diameter
  • Le : Pipe Eqivalent Length
  • M : Flow Mach Number
  • Qf : Volume Flowrate
  • Re : Reynolds Number
  • Rg : Specific Gas Constant
  • SG : Gas Specific Gravity Relative To Air
  • V : Velocity
  • Z : Compressibility Factor
  • cvg : Convergence Factor (≅ 1)
  • fL/D : Pressure Loss Factor Including Minor Losses
  • fd : Darcy Friction Factor
  • mf : Mass Flowrate
  • mmg : Gas Molar Mass
  • ng : Mole Flow Rate
  • rr : Surface Roughness Ratio
  • vg : Mole Specific Volume

CALCULATOR : API 520 Duct Pressure Loss Factor From The Von Karman Rough Pipe Equation [FREE]   ±

Calculate duct Darcy friction factor (fd) and pressure loss factor (fL/D) from the Von Karman rough pipe equation for gas, steam or liquid flow.

At high Reynolds numbers the flow is fully turbulent and the Darcy friction factor is dependent on the pipe roughness only. Minor losses can be included in the pressure loss factor, either as a K factor, an equivalent added length, or an equivalent added length over diameter ratio.

Tool Input

  • schdtypea : Vent Schedule Type
  • diamtypea : Vent Diameter Type
    • ODu : User Defined Vent Outside Diameter
    • IDu : User Defined Vent Inside Diameter
  • wtntype : Vent Wall Thickness Type
    • tnu : User Defined Vent Wall Thickness
  • rfactype : Vent Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • leqtype : Minor Pressure Loss Type
    • ku : User Defined Minor Loss K Factor
    • lu : User Defined Minor Loss Length
    • lodu : User Defined Minor Loss Diameters (L/ID)
    • fL/Du : User Defined Pressure Loss Factor
  • Lv : Vent Length

Tool Output

  • ID : Vent Inside Diameter
  • Le : Vent Eqivalent Length
  • fL/D : Pressure Loss Factor Including Minor Losses
  • fd : Darcy Friction Factor
  • rr : Surface Roughness Ratio

CALCULATOR : API 520 Liquid Duct Pressure Loss Factor From The Moody Diagram [PLUS]   ±

Calculate liquid Darcy friction factor and pressure loss factor from either the Moody diagram or the Von Karman rough pipe equation (API 520 Annex E).

The Darcy friction factor can be calculated using either the Hagen-Poiseuille laminar flow equation (Re ≤ 2000), the original Colebrook White equation, the modified Colebrook White equation, or the Von Karman rough pipe equation. The laminar flow equation should be used for Reynold numbers &le: 2000, The rough pipe equation can be used for fully turbulent flow with Renolds number ≥ 1e5 - 1e6, depending on the pipe roughness. Refer to the Moody diagram.

The pressure loss factor (fLe/ID) can include minor losses, either as a K factor, an equivalent added length, or an equivalent added length over diameter ratio. The fluid flowrate can be entered as either fluid velocity, volume flowrate, mass flowrate, or Reynolds number. Pipe diameter can be calculated for either the NPS, ISO, GOST or general pipe schedule.

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
  • rfactype : Pipe Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • 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
  • fdtype : Darcy Friction Factor Type
    • fu : User Defined Darcy Friction Factor
  • leqtype : Minor Pressure Loss Type
    • Ku : User Defined Minor Loss K Factor
    • lu : User Defined Minor Loss Length
    • lodu : User Defined Minor Loss Diameters (L/ID)
    • Leu : User Defined Equivalent Length
    • fL/Du : User Defined Pressure Loss Factor
  • L : Pipe Length
  • ρ : Fluid Density

Tool Output

  • μ : Dynamic Viscosity
  • ID : Inside Diameter
  • Le : Pipe Eqivalent Length
  • M : Mass Flowrate
  • Q : Volume Flowrate
  • Re : Reynolds Number
  • V : Fluid Velocity
  • cvg : Convergence Factor (≅ 1)
  • fL/D : Pressure Loss Factor Including Minor Losses
  • fd : Darcy Friction Factor
  • rr : Surface Roughness Ratio