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Pipeng Free Online Software : Pipeline Gas Flow Calculators
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Pipeng : Darcy-Weisbach Friction Loss For Single Phase Gas Pipelines Calculation Module

Pipeline Gas Flow Calculators

Description : Darcy-Weisbach single phase gas pipeline friction pressure loss calculators.

Discussion : The fluid temperature and viscosity are assumed to be constant. The Darcy friction factor is accurate within ± 15%.

The friction pressure loss ΔPf can be calculated by

ΔPf = f L / D ( ρ V 2 ) / 2

where

D = Section Internal Diameter
V = Fluid Velocity
ρ = Fluid Density f = Dimensionless Darcy Friction Pressure Loss Factor f
ΔPf = Fluid Friction Pressure Loss
L = Section Length

The Darcy friction factor is dependent on the Reynolds number. For Reynolds number Re < 2000, the flow is generally laminar. For Reynolds number approximately 2000 < Re < 4000 flow can be either laminar or turbulent. For Reynolds number 4000 < Re the flow is generally turbulent.

Calculator Tools In This Module:

CALC : Flow : Flowrate 011 : Gas Velocity From Mole Flow Rate Diameter Pressure Temperature and Compressibility Factor Z : Calculator
CALC : Flow : Flowrate 044 : Laminar Flow Moody Diagram Friction Factor f : Calculator
CALC : Flow : Flowrate 045 : Turbulent Flow Moody Diagram Friction Factor f : Calculator
CALC : Flow : Friction 031 : Laminar Gas Flow Friction Pressure Loss From Mole Flow Rate and Compressibility Factor Z : Calculator
CALC : Flow : Friction 041 : Turbulent Gas Flow Friction Pressure Loss From Mole Flow Rate and Compressibility Factor Z : Calculator
CALC : Flow : Friction 051 : Gas Mole Volume From Pressure Temperature and Compressibility Factor Z : Calculator
CALC : Flow : Friction 052 : Gas Density From Pressure Temperature Mole Weight and Compressibility Factor Z : Calculator


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Module List

CALC : Flow : Flowrate 011 : Gas Velocity From Mole Flow Rate Diameter Pressure Temperature and Compressibility Factor Z : Calculator

Description : Calculate the gas velocity V from the mole flow rate, diameter, pressure, temperature and compressibility factor Z.

Discussion : The gas velocity varies with temperature and pressure.

Discussion : The gas compressibility factor Z accounts for the non ideal behaviour of real gases.

Input Variables :

  • D = Section Internal Diameter
  • N = Fluid Mole Flow Rate
  • P = Fluid Absolute Pressure
  • R = Universal Gas Constant
  • T = Fluid Absolute Temperature
  • Z = Fluid Dimensionless Compressibility Z Factor

Output Variables :

  • V = Fluid Velocity

Calculation :

V = ( 4 N Z R T ) / ( π P D 2 )

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CALC : Flow : Flowrate 044 : Laminar Flow Moody Diagram Friction Factor f : Calculator

Description : Calculate the laminar flow Moody friction factor f from the mole flow rate Q.

Discussion : For laminar flow check that the Reynolds number Re < 4000.

Figures :

Input Variables :

  • μ = Fluid Dynamic Viscosity
  • D = Section Internal Diameter
  • Q = Fluid Mole Flow Rate
  • mw = Fluid Mole Weight or Molar Mass

Output Variables :

  • Re = Fluid Dimensionless Reynolds Number
  • f = Dimensionless Darcy Friction Pressure Loss Factor f

Calculation :

Re = ( 4 mw Q ) / ( π μ D )
f = 64 / Re

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CALC : Flow : Flowrate 045 : Turbulent Flow Moody Diagram Friction Factor f : Calculator

Description : Calculate the turbulent flow Moody friction factor f from the mole flow rate Q.

Discussion : The function CalcFMoody() calculates the Darcy friction factor f from the Reynolds number Re and the relative roughness Rr. To verify the output from function CalcFMoody() check that the value fchk equals f. For laminar flow check that the Reynolds number Re > 2000.

Figures :

Input Variables :

  • μ = Fluid Dynamic Viscosity
  • D = Section Internal Diameter
  • Q = Fluid Mole Flow Rate
  • mw = Fluid Mole Weight or Molar Mass
  • r = Section Internal Roughness

Output Variables :

  • Re = Fluid Dimensionless Reynolds Number
  • Rr = Internal Pipeline Dimensionless Roughness Number
  • f = Dimensionless Darcy Friction Pressure Loss Factor f
  • fchk = Check Dimensionless Darcy Friction Factor f

Calculation :

Re = ( 4 mw Q ) / ( π μ D )
Rr = r / D
f = CalcFMoody( Re , Rr )
fchk = 0.25 / log10( Rr / 3.7 + 2.51 / ( Re √( f ) ) ) 2

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CALC : Flow : Friction 031 : Laminar Gas Flow Friction Pressure Loss From Mole Flow Rate and Compressibility Factor Z : Calculator

Description : Calculate the friction pressure loss ΔPf from the mole flow rate N for laminar gas flow in a pipeline.

Discussion : The pipeline diameter, fluid temperature, fluid compressibility z factor and fluid viscosity are assumed to be constant along the pipeline. Changes in elevation and dynamic pressure are ignored. The k factor value accounts for the minor losses due to bends tees and valves etc in the pipeline. The k value should be relative to the pipeline diameter. For laminar flow check that the Reynolds number Re < 4000.

Figures :

Input Variables :

  • μ = Fluid Dynamic Viscosity
  • D = Section Internal Diameter
  • K = Dimensionless Friction Pressure Loss Factor K
  • L = Section Length
  • N = Fluid Mole Flow Rate
  • Pi = Fluid Inlet Absolute Pressure
  • R = Universal Gas Constant
  • T = Fluid Absolute Temperature
  • Z = Fluid Dimensionless Compressibility Z Factor
  • mw = Fluid Mole Weight or Molar Mass

Output Variables :

  • ΔPf = Fluid Friction Pressure Loss
  • ρi = Inlet Fluid Density
  • ρo = Outlet Fluid Density
  • Po = Fluid Outlet Absolute Pressure
  • Re = Fluid Dimensionless Reynolds Number
  • Vi = Inlet Fluid Velocity
  • Vo = Outlet Fluid Velocity
  • f = Dimensionless Darcy Friction Pressure Loss Factor f
  • vmi = Inlet Fluid Mole Volume
  • vmo = Outlet Fluid Mole Volume

Calculation :

Re = ( 4 mw N ) / ( π μ D )
f = 64 / Re
Po = √( Pi 2 - ( f L / D + K )( 16 mw Z R T N 2 ) / ( π 2 D 4 ) )
ΔPf = Pi - Po
vmi = ( Z R T ) / Pi
vmo = ( Z R T ) / Po
ρi = mw Pi / ( Z R T )
ρo = mw Po / ( Z R T )
Vi = ( 4 N Z R T ) / ( π Pi D 2 )
Vo = ( 4 N Z R T ) / ( π Po D 2 )

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CALC : Flow : Friction 041 : Turbulent Gas Flow Friction Pressure Loss From Mole Flow Rate and Compressibility Factor Z : Calculator

Description : Calculate the friction pressure loss ΔPf from the mole flow rate N for turbulent gas flow in a pipeline.

Discussion : The pipeline diameter, fluid compressibility factor Z, fluid temperature and fluid viscosity are assumed to be constant along the pipeline. Changes in elevation and dynamic pressure are ignored. The k factor value accounts for the minor losses due to bends tees and valves etc in the pipeline. The k value should be relative to the pipeline diameter. The function CalcFMoody() calculates the Darcy friction factor f from the Reynolds number Re and the relative roughness Rr. To verify the output from function CalcFMoody() check that the value fchk equals f. For turbulent flow check that the Reynolds number Re > 2000.

Figures :

Input Variables :

  • μ = Fluid Dynamic Viscosity
  • D = Section Internal Diameter
  • K = Dimensionless Friction Pressure Loss Factor K
  • L = Section Length
  • N = Fluid Mole Flow Rate
  • Pi = Fluid Inlet Absolute Pressure
  • R = Universal Gas Constant
  • T = Fluid Absolute Temperature
  • Z = Fluid Dimensionless Compressibility Z Factor
  • mw = Fluid Mole Weight or Molar Mass
  • r = Section Internal Roughness

Output Variables :

  • ΔPf = Fluid Friction Pressure Loss
  • ρi = Inlet Fluid Density
  • ρo = Outlet Fluid Density
  • Po = Fluid Outlet Absolute Pressure
  • Re = Fluid Dimensionless Reynolds Number
  • Rr = Internal Pipeline Dimensionless Roughness Number
  • Vi = Inlet Fluid Velocity
  • Vo = Outlet Fluid Velocity
  • f = Dimensionless Darcy Friction Pressure Loss Factor f
  • fchk = Check Dimensionless Darcy Friction Factor f
  • vmi = Inlet Fluid Mole Volume
  • vmo = Outlet Fluid Mole Volume

Calculation :

Rr = r / D
Re = ( 4 mw N ) / ( π μ D )
f = CalcFMoody( Re , Rr )
fchk = 0.25 / log10( Rr / 3.7 + 2.51 / ( Re √( f ) ) ) 2
Po = √( Pi 2 - ( f L / D + K )( 16 mw Z R T N 2 ) / ( π 2 D 4 ) )
ΔPf = Pi - Po
vmi = ( Z R T ) / Pi
vmo = ( Z R T ) / Po
ρi = mw Pi / ( Z R T )
ρo = mw Po / ( Z R T )
Vi = ( 4 N Z R T ) / ( π Pi D 2 )
Vo = ( 4 N Z R T ) / ( π Po D 2 )

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CALC : Flow : Friction 051 : Gas Mole Volume From Pressure Temperature and Compressibility Factor Z : Calculator

Description : Calculate the gas mole volume vm from the pressure, temperature and compressibility factor Z.

Discussion : The gas compressibility factor Z accounts for the non ideal behaviour of real gases.

Input Variables :

  • P = Fluid Absolute Pressure
  • R = Universal Gas Constant
  • T = Fluid Absolute Temperature
  • Z = Fluid Dimensionless Compressibility Z Factor

Output Variables :

  • vm = Fluid Mole Volume

Calculation :

vm = ( Z R T ) / P

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CALC : Flow : Friction 052 : Gas Density From Pressure Temperature Mole Weight and Compressibility Factor Z : Calculator

Description : Calculate the gas density ρ from the mole weight, pressure, temperature and compressibility factor Z.

Discussion : The gas compressibility factor Z accounts for the non ideal behaviour of real gases.

Input Variables :

  • P = Fluid Absolute Pressure
  • R = Universal Gas Constant
  • T = Fluid Absolute Temperature
  • Z = Fluid Dimensionless Compressibility Z Factor
  • mw = Fluid Mole Weight or Molar Mass

Output Variables :

  • ρ = Fluid Density

Calculation :

ρ = mw P / ( Z R T )

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