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Pipeng Free Online Software : API 14E General Equation Calculators
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Pipeng : API 14E General Equation For Gas Flow Calculation Module

API 14E General Equation Calculators

Description : API 14E General equation single phase gas flow calculators.

Discussion : The General equation is suitable for all Reynolds numbers. The equation coefficients have been factored for SI units.

References :

Calculator Tools In This Module:

CALC : Flow : Flowrate 031 : API 14E General Equation Gas Flow Rate From Inlet and Outlet Pressure : Calculator
CALC : Flow : Flowrate 032 : API 14E General Equation Gas Flow Rate From Friction Pressure Loss : Calculator
CALC : Flow : Flowrate 033 : API 14E General Equation Friction Pressure Loss From Gas Flow Rate : 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


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Module List

CALC : Flow : Flowrate 031 : API 14E General Equation Gas Flow Rate From Inlet and Outlet Pressure : Calculator

Description : Calculate the gas mole flow rate Q from the inlet pressure P1 and outlet pressure P2 using the general equation.

Discussion : The friction factor f can be calculated or estimated from a Moody diagram. The equation coefficient has been factored for SI units.

Figures :

Input Variables :

  • L = Section Length
  • P1 = Fluid Inlet Absolute Pressure
  • P2 = Fluid Outlet Absolute Pressure
  • S = Fluid Gas Specific Gravity
  • T1 = Fluid Absolute Temperature
  • Z = Fluid Dimensionless Compressibility Z Factor
  • d = Section Internal Diameter
  • f = Dimensionless Darcy Friction Pressure Loss Factor f

Output Variables :

  • ΔPf = Fluid Friction Pressure Loss
  • Q = Fluid Mole Flow Rate

Calculation :

Q = 1.600261e-3 √( ( d 5 ( P1 2 - P2 2 ) ) / ( Z T1 f L S ) )
ΔPf = P1 - P2

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CALC : Flow : Flowrate 032 : API 14E General Equation Gas Flow Rate From Friction Pressure Loss : Calculator

Description : Calculate the gas mole flow rate Q from the inlet pressure P1 and the friction pressure loss ΔPf using the general equation.

Discussion : The friction factor f can be calculated or estimated from a Moody diagram. The equation coefficient has been factored for SI units.

Figures :

Input Variables :

  • ΔPf = Fluid Friction Pressure Loss
  • L = Section Length
  • P1 = Fluid Inlet Absolute Pressure
  • S = Fluid Gas Specific Gravity
  • T1 = Fluid Absolute Temperature
  • Z = Fluid Dimensionless Compressibility Z Factor
  • d = Section Internal Diameter
  • f = Dimensionless Darcy Friction Pressure Loss Factor f

Output Variables :

  • P2 = Fluid Outlet Absolute Pressure
  • Q = Fluid Mole Flow Rate

Calculation :

P2 = P1 - ΔPf
Q = 1.600261e-3 √( ( d 5 ( P1 2 - P2 2 ) ) / ( Z T1 f L S ) )

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CALC : Flow : Flowrate 033 : API 14E General Equation Friction Pressure Loss From Gas Flow Rate : Calculator

Description : Calculate the friction pressure loss ΔPf from the inlet pressure P1 and the the gas mole flow rate Q using the general equation.

Discussion : The friction factor f can be calculated or estimated from a Moody diagram. The equation coefficient has been factored for SI units.

Figures :

Input Variables :

  • L = Section Length
  • P1 = Fluid Inlet Absolute Pressure
  • Q = Fluid Mole Flow Rate
  • S = Fluid Gas Specific Gravity
  • T1 = Fluid Absolute Temperature
  • Z = Fluid Dimensionless Compressibility Z Factor
  • d = Section Internal Diameter
  • f = Dimensionless Darcy Friction Pressure Loss Factor f

Output Variables :

  • ΔPf = Fluid Friction Pressure Loss
  • P2 = Fluid Outlet Absolute Pressure

Calculation :

P2 = √( P1 2 - 3.904974e5 ( S Q 2 Z T1 f L ) / d 5 )
ΔPf = P1 - P2

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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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