Then the sign of the Son of Man will appear in heaven, and then all the tribes of the earth will mourn, and they will see the Son of Man coming on the clouds of heaven with power and great glory. And he will send his angels with a great sound of a trumpet, and they will gather together his elect from the four winds, from one end of heaven to the other. Matthew 24:30-31
Pipeng Free Online Software : Flow Factor Cv Calculators
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Pipeng : Fluid Flow Coefficient Av, Cv, Kv.. Calculation Module

Flow Factor Cv Calculators

Description : Pipeline volume flow coefficient Cv Av or Kv calculators.

Discussion : The volume flow coefficient Av, Cv or Kv has dimensions length squared and is defined as the flow of a defined fluid which results in a defined friction pressure loss. To calculate the volume flow coefficient Av:

Av = Q √( ρ / ΔPf )

where

ρ = Fluid Density
Q = Fluid Volume Flowrate
Av = Fluid Volume Flow Coefficient Av or Cv
ΔPf = Fluid Friction Pressure Loss

Note : Av is independent of diameter. Because flow coefficients have dimensions they can not be used interchangeably between different systems of units. There are therefore a number of defined flow coefficients:

Calculator Tools In This Module:

CALC : Flow : Flowrate 006 : Flow Rate From Av Volume Flow Coefficient and Pressure Losses : Calculator
CALC : Flow : Flowrate 009 : Flow Rate From Total Flow Coefficient Factor Av or Cv and Pressure Difference : Calculator
CALC : Flow : Friction 016 : Pressure Loss From Av Volume Flow Coefficient and Flow Rate : Calculator
CALC : Flow : Friction 018 : Pressure Loss From Total Flow Coefficient Factor Av or Cv and Flow Rate : Calculator
CALC : Flow : Friction 021 : Volume Flow Coefficients Factor Av or Cv From Flowrate and Pressure Loss : Calculator
CALC : Flow : Friction 022 : Volume Flow Coefficient Factors Av or Cv From K Friction Factor : Calculator
CALC : Flow : Friction 023 : Volume Flow Factor Av or Cv From Discharge Coefficient Cd : Calculator
CALC : Flow : Friction 041 : Friction Pressure Loss From Static Pressure Difference : Calculator
CALC : Flow : Friction 042 : Static Pressure Difference From Friction Pressure Loss : Calculator


Link

Module List

CALC : Flow : Flowrate 006 : Flow Rate From Av Volume Flow Coefficient and Pressure Losses : Calculator

Description : Calculate the volume flow rate Q from the volume flow coefficient Av and the friction pressure loss ΔPf.

Discussion : The volume flowrate Q is independent of the diameter.

Input Variables :

  • ΔPf = Fluid Friction Pressure Loss
  • ρ = Fluid Density
  • Av = Volume Flow Coefficient Av or Cv

Output Variables :

  • Q = Fluid Volume Flowrate

Calculation :

Q = Av √( ΔPf / ρ )

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CALC : Flow : Flowrate 009 : Flow Rate From Total Flow Coefficient Factor Av or Cv and Pressure Difference : Calculator

Description : Calculate flow rate Q from the friction pressure loss ΔPf and a list of Av flow coefficient values.

Discussion : The Av coefficients are converted to equivalent K factors relative to section diameter Do and then summed to calculate the total K value. Changing the section diameter Do does not affect the friction pressure loss ΔPf.

Input Variables :

  • ΔPf = Fluid Friction Pressure Loss
  • ρ = Fluid Density
  • Av = K Friction Factor List
  • Do = Section Internal Diameter

Output Variables :

  • K = Dimensionless Friction Pressure Loss Factor K
  • Ke = K Equivalent Friction Factor List
  • Q = Fluid Volume Flowrate

Calculation :

Loop i
Ke[i] = ( π 2 Do 4 ) / ( 8 Av[i] 2 )
End of i Loop
K = ArraySum( Ke )
Q = π Do 2 √( ΔPf / ( 8 K ρ ) )

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CALC : Flow : Friction 016 : Pressure Loss From Av Volume Flow Coefficient and Flow Rate : Calculator

Description : Calculate the friction pressure loss ΔPf from the flow coefficient Av and the volume flow rate Q.

Discussion : The friction pressure loss ΔPf is independent of the diameter used.

Input Variables :

  • ρ = Fluid Density
  • Av = Volume Flow Coefficient Av or Cv
  • Q = Fluid Volume Flowrate

Output Variables :

  • ΔPf = Fluid Friction Pressure Loss

Calculation :

ΔPf = Q 2 ρ / Av 2

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CALC : Flow : Friction 018 : Pressure Loss From Total Flow Coefficient Factor Av or Cv and Flow Rate : Calculator

Description : Calculate the friction pressure loss ΔPf from a list of Av coefficient values. :new:The tool converts the Av coefficients to equivalent K factor values relative to section diameter Do, then sums the equivalent K values. Changing the section diameter Do does not affect the friction pressure loss ΔPf.

Input Variables :

  • ρ = Fluid Density
  • Av = K Friction Factor List
  • Do = Section Internal Diameter
  • Q = Fluid Volume Flowrate

Output Variables :

  • ΔPf = Fluid Friction Pressure Loss
  • K = Dimensionless Friction Pressure Loss Factor K
  • Ke = K Equivalent Friction Factor List

Calculation :

Loop i
Ke[i] = ( π 2 Do 4 ) / ( 8 Av[i] 2 )
End of i Loop
K = ArraySum( Ke )
ΔPf = 8 K ρ Q 2 / ( π 2 Do 4 )

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CALC : Flow : Friction 021 : Volume Flow Coefficients Factor Av or Cv From Flowrate and Pressure Loss : Calculator

Description : Calculate the volume flow coefficient Av or Cv, Kv etc from the volume flow rate Q and the friction pressure loss ΔPf.

Discussion : The volume flow coefficient Av is independent of diameter.

Input Variables :

  • ΔPf = Fluid Friction Pressure Loss
  • ρ = Fluid Density
  • Q = Fluid Volume Flowrate

Output Variables :

  • Av = Volume Flow Coefficient Av or Cv

Calculation :

Av = Q √( ρ / ΔPf )

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CALC : Flow : Friction 022 : Volume Flow Coefficient Factors Av or Cv From K Friction Factor : Calculator

Description : Calculate the volume flow coefficient Av or Cv, Kv etc from the friction factor or pressure loss factor K.

Discussion : The volume flow coefficient Av can also be expressed as Cv (US, UK and Metric) or Kv.

Input Variables :

  • D = Section Internal Diameter
  • K = Dimensionless Friction Pressure Loss Factor K

Output Variables :

  • Av = Volume Flow Coefficient Av or Cv

Calculation :

Av = π D 2 / √( 8 K )

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CALC : Flow : Friction 023 : Volume Flow Factor Av or Cv From Discharge Coefficient Cd : Calculator

Description : Calculate the volume flow coefficient Av or Cv, Kv etc from the discharge coefficient Cd.

Discussion : The discharge coefficient Cd should be positive and less than 1. Other values of Cd will give invalid results. The volume flow coefficient can also be expressed as Cv (US, UK and Metric) and Kv. Changes in height are ignored. D2 should be smaller than D1.

Figures :

Input Variables :

  • Cd = Dimensionless Discharge Coefficient Cd
  • D1 = Section 1 Internal Diameter
  • D2 = Section 2 Internal Diameter

Output Variables :

  • Av = Volume Flow Coefficient Av or Cv

Calculation :

Av = π D2 2 / √( 8 ( 1 / Cd 2 - 1 )( 1 - D2 4 / D1 4 ) )

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CALC : Flow : Friction 041 : Friction Pressure Loss From Static Pressure Difference : Calculator

Description : Calculate the friction pressure loss ΔPf from the static pressure difference ΔP between sections with varying diameter.

Discussion : The static pressure difference ΔP is the measured pressure difference. It is different from the friction pressure loss ΔPf because of the different velocity pressure in the sections. Changes in diameter between the two measurement points (D1 and D2) do not affect the result.

Figures :

Input Variables :

  • ΔP = Fluid Static Pressure Difference
  • ρ = Fluid Density
  • D1 = Section 1 Internal Diameter
  • D2 = Section 2 Internal Diameter
  • Q = Fluid Volume Flowrate

Output Variables :

  • ΔPf = Fluid Friction Pressure Loss

Calculation :

ΔPf = ΔP + 8 ρ Q 2 / π 2 ( D2 4 - D1 4 ) / ( D2 4 D1 4 )

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CALC : Flow : Friction 042 : Static Pressure Difference From Friction Pressure Loss : Calculator

Description : Calculate the static pressure difference ΔP from the friction pressure loss ΔPf between sections with varying diameter.

Discussion : The friction pressure loss is the pressure lost by fluid friction. It is different to the static pressure difference ΔP, the measured pressure difference, because of the different velocity pressure in the sections. Changes in diameter between the two measurement points (D1 and D2) do not affect the result.

Figures :

Input Variables :

  • ΔPf = Fluid Friction Pressure Loss
  • ρ = Fluid Density
  • D1 = Section 1 Internal Diameter
  • D2 = Section 2 Internal Diameter
  • Q = Fluid Volume Flowrate

Output Variables :

  • ΔP = Fluid Static Pressure Difference

Calculation :

ΔP = ΔPf - 8 ρ Q 2 / π 2 ( D2 4 - D1 4 ) / ( D2 4 D1 4 )

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