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Gas Pipeline Pressure Loss From The AGA Equation

Calculate pressure loss for single phase gas pipelines using the AGA equation.

`Tr = 4 log(3.7 / (rr)) `
`Ts = 4 log((Re) / (Ts)) - 0.6 `
`Tt = 4 Df log((Re) / (1.4125 Ts)) `
`Tf = min(Tr, Tt) `
`fd = (2 / (Tf))^2 `

where :

Tr = rough pipe transmission factor
Ts = smooth pipe transmission factor
Tt = turbulent pipe transmission factor
Tf= Fanning transmission factor
fd = Darcy friction factor
rr = pipe relative roughness
Re = Reynolds number
Df = AGA drag factor

The AGA equation is used to calculate the Fanning transmission factor using an iteration method. Check that the convergence is close to or equal to one. The pressure loss is calculated from the Darcy friction factor using the Darcy-Weisbach 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 the AGA equation. In the transition region 2000 < Re < 4000, the flow is unstable and the friction loss cannot be reliably calculated.

Pipe bends can be specified as either a bend angle, AGA bend index (degrees of bend per mile), or AGA drag factor. The drag factor is interpolated from the AGA table. The drag factor includes pipe roughness. Valves, tees and other pipe fittings should be included by adding a minor loss equivalent length to the pipeline length.

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CALCULATOR : Single Phase Gas Pipeline Pressure Loss General [FREE]   ±

Calculate general gas 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). Bends, valves, tees and other pipe fittings should be accounted for using the minor loss K factor.

Tool Input

  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • flowtype : Pressure For Fluid Property Calculation
  • ID : Pipe Inside Diameter
  • r : Piipe Internal Roughness
  • L : Pipe Length
  • K : K Factor
  • zi : Inlet Elevation Relative To Datum
  • zo : Outlet Elevation Relative To Datum
  • Pi : Inlet Pressure
  • T : Fluid Temperature
  • Z : Compressibility Factor
  • SG : Gas Specific Gravity (At Pf)
  • μ : Dynamic Viscosity
  • Ng : Mole Flow Rate

Tool Output

  • ΔP : Friction Pressure Loss
  • ρ : Fluid Density (At Pf)
  • Pa : Average Fluid Pressure
  • Pf : Pressure For Fluid Property Calculation
  • Po : Outlet Pressure
  • Re : Reynolds Number (At Inlet)
  • cvg : Convergence Factor (≅ 1)
  • fd : Darcy Friction Factor
  • rr : Surface Roughness Ratio
  • vg : Mole Specific Volume (At Pf)

CALCULATOR : Single Phase Gas Pipeline Pressure Loss From AGA Equation [PLUS]   ±

Calculate AGA equation pipeline outlet pressure from flow rate and diameter.

The AGA equation was developed for hydrocarbon pipelines. Minor losses are accounted for using the pipe bend index (bend degrees per mile). The equivalent Darcy friction factor includes the effect of the bend index. Valves, tees and other pipe fittings should be accounted for either by using the minor loss K factor, or by adding a minor loss equivalent length to the pipeline length.

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
  • fluidtype : Fluid Property Type
    • SGu : User Defined Gas Specific Gravity
    • μu : User Defined Dynamic Viscosity
  • voltype : Fluid Flow Rate Type
    • Qfu : User Defined Gas Volume Flow Rate
    • Mfu : User Defined Gas Mass Flow Rate
    • Ngu : User Defined Gas Mole Flow Rate
    • Vfu : User Defined Gas Velocity
    • Reu : User Defined Reynolds Number
  • rfactype : Pipe Internal Roughness Type
  • dfactype : AGA Drag Factor Type
    • θu : User Defined Total Bend Angle
    • BIu : User Defined Bend Index
    • Dfu : User Defined Pipe Drag Factor
  • ktype : K Factor Type
    • Ku : User Defined K Factor
  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • flowtype : Pressure For Fluid Property Calculation
  • L : Pipe Length
  • zi : Inlet Elevation Relative To Datum
  • zo : Outlet Elevation Relative To Datum
  • Pi : Inlet Pressure
  • T : Fluid Temperature
  • Z : Compressibility Factor

Tool Output

  • ΔP : Friction Pressure Loss
  • μ : Dynamic Viscosity
  • ρ : Fluid Density (At Pf)
  • Df : AGA Pipe Drag Factor
  • ID : Inside Diameter
  • K : K Factor
  • Mf : Mass Flowrate
  • Ng : Mole Flow Rate
  • Pa : Average Fluid Pressure
  • Pf : Pressure For Fluid Property Calculation
  • Po : Outlet Pressure
  • Qf : Volume Flowrate (At Pf)
  • Re : Reynolds Number (At Inlet)
  • SG : Gas Specific Gravity
  • Vf : Fluid Velocity (At Pf)
  • cvg : Convergence Factor (≅ 1)
  • es : Elevation Constant
  • fd : Darcy Friction Factor
  • ff : Fanning Friction Factor
  • ls : Length Constant
  • rr : Surface Roughness Ratio
  • ss : Elevation Exponent
  • td : Darcy Transmission Factor
  • tf : Fanning Transmission Factor
  • vg : Mole Specific Volume (At Pf)