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Parallel And Series Piping Fitting

Calculate minor loss factors for parallel and series pipe fittings.

The effective K factor for fittings in series equals the sum of the K factors.

`Ke = ΣKi `

For fittings in parallel the inverse effective K factor equals the sum of the inverse K factors.

`1/(Ke) = Σ1/(Ki) `

The calculators can be used for parallel and series K factor, discharge coefficient Cd, dimensionless flow coefficient Cv*, and flow coefficients Av, Cv-uk, Cv-us, Cv-met and Kv.

Minor loss factors are calculated for:

  • Av (SI) flow coefficient - the flow in cubic meters per second fluid density 1 kilogram per cubic meter which gives a pressure drop of 1 Pa
  • Cv-uk (UK) flow coefficient - the flow in UK gallons per minute of water at 60 degrees F which gives a pressure drop of 1 psi
  • Cv-us (US) flow coefficient - the flow in US gallons per minute of water at 60 degrees F which gives a pressure drop of 1 psi
  • Cv-met (Metric) flow coefficient - the flow in liters per minute of water at 16 degrees C which gives a pressure drop of 1 bar
  • Kv (EU) flow coefficient - the flow in cubic meters per hour of water at 16 degrees C which gives a pressure drop of 1 bar
  • Cv* the dimensionless US flow factor = Cv-us / din^2 (din is the inside diameter in inches)
  • K factor - the ratio of pressure loss over the dynamic pressure
  • Cd or discharge coefficient - the ratio of the actual flow rate of the fluid through the fitting over the frictionless flow rate.

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CALCULATOR : Pipe Fitting Inside Diameter And Cross Section Area [FREE]   ±

Calculate pipe fitting inside diameter and inside cross section area from pipe diameter and wall thickness.

Use the Result Table option to display a table of the inside diameter and cross section area versus either outside diameter or wall thickness.

Tool Input

  • schdtype : Schedule Type
  • diamtype : Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness

Tool Output

  • AX : Pipe Inside Cross Section Area
  • ID : Nominal Inside Diameter
  • OD : Nominal Outside Diameter
  • OD/tn : Diameter Over Wall Thickness Ratio
  • tn : Nominal Wall Thickness

CALCULATOR : Pipe Fitting Convert Minor Loss Factor [FREE]   ±

Convert pipe fitting friction factor K, discharge coefficient Cd, dimensionless flow coefficient Cv*, and flow coefficients Av, Cv-uk, Cv-us, Cv-met and Kv.

The dimensionless flow coefficient Cv* equals Cv-us / IDin^2, where IDin is the valve inside diameter in inches. For control valves a maximum Cv* value of 30 is recommended, equivalent to a minimum K factor of 1.

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
  • factype : Input Factor Type
    • Avu : User Defined SI Flow Coefficient
    • Cv-uku : User Defined UK Flow Coefficient
    • Cv-usu : User Defined US Flow Coefficient
    • Cv-metu : User Defined Metric Flow Coefficient
    • Kvu : User Defined EU Flow Coefficient
    • Ku : User Defined Friction Factor
    • Cdu : User Defined Discharge Coefficient
    • Cvu* : User Defined Dimensionless Flow Coefficient (Cv-us / IDin^2)

Tool Output

  • Av : SI Flow Coefficient
  • Cd : Discharge Coefficient
  • Cv* : Dimensionless US Flow Coefficient (Cv-us / IDin^2)
  • Cv-met : Metric Flow Coefficient
  • Cv-uk : UK Flow Coefficient
  • Cv-us : US Flow Coefficient
  • ID : Inside Diameter
  • IDin : Inside Diameter Inches
  • K : Friction Factor Or Resistance Factor
  • Kv : EU Flow Coefficient

CALCULATOR : Pipe Fitting Parallel And Series K Factor [FREE]   ±

Calculate pipe fitting total friction factor K for parallel and series flow.

Enter the K factor and inside diameter data as comma separated data pairs (Ki,IDi), with each pair on a new line. The data can also be copied from a spreadsheet, or copied as tab separated pairs. The friction factors can either be converted to the nominal diameter, or used as entered. The total discharge coefficient Cd, total dimensionless flow coefficient Cv*, and total flow coefficients Av, Cv-uk, Cv-us and Kv are also calculated. The K factor, discharge coefficient and dimensionless flow coefficient are calculated for the nominal diameter.

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
  • dtype : Internal Diameter Type
  • flowtype : Flow Type
  • Kdata : Friction Factor Data
  • IDdata : Flow Diameter Data

Tool Output

  • Av : SI Flow Coefficient
  • Cd : Discharge Coefficient
  • Cv* : Dimensionless US Flow Coefficient (Cv-us / IDin^2)
  • Cv-met : Metric Flow Coefficient
  • Cv-uk : UK Flow Coefficient
  • Cv-us : US Flow Coefficient
  • ID : Pipe Inside Diameter
  • IDin : Inside Diameter Inches
  • K : Friction Factor Or Resistance Factor
  • Kv : EU Flow Coefficient

CALCULATOR : Pipe Fitting Parallel And Series Discharge Coefficient [FREE]   ±

Calculate pipe fitting total discharge coefficient Cd for parallel and series flow.

Enter the discharge coefficient and inside diameter data as comma separated data pairs (Cdi,IDi), with each pair on a new line. The data can also be copied from a spreadsheet, or copied as tab separated pairs. The discharge coefficients can either be converted to the nominal diameter, or used as entered. The total friction factor K, total dimensionless flow coefficient Cv*, and total flow coefficients Av, Cv-uk, Cv-us and Kv are also calculated. The K factor, discharge coefficient and dimensionless flow coefficient are calculated for the nominal diameter.

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
  • dtype : Internal Diameter Type
  • flowtype : Flow Type
  • Cddata : Discharge Coefficient Data
  • IDdata : Flow Diameter Data

Tool Output

  • Av : SI Flow Coefficient
  • Cd : Discharge Coefficient
  • Cv* : Dimensionless US Flow Coefficient (Cv-us / IDin^2)
  • Cv-met : Metric Flow Coefficient
  • Cv-uk : UK Flow Coefficient
  • Cv-us : US Flow Coefficient
  • ID : Pipe Inside Diameter
  • IDin : Inside Diameter Inches
  • K : Friction Factor Or Resistance Factor
  • Kv : EU Flow Coefficient

CALCULATOR : Pipe Fitting Parallel And Series Flow Coefficient [FREE]   ±

Calculate pipe fitting total flow coefficients Av, Cv-uk, Cv-us, Cv-met or Kv for parallel and series flow.

Enter the flow coefficient data as a comma separated list. The total friction factor K, total discharge coefficient Cd, total dimensionless flow coefficient Cv* and the other flow coefficients Av, Cv-uk, Cv-us, Cv-met or Kv are also calculated. The K factor, discharge coefficient and dimensionless flow coefficient are calculated for the nominal diameter.

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
  • factype : Flow Coefficient Data Type
  • flowtype : Flow Type
  • Fdata : Flow Coefficient Data

Tool Output

  • Av : SI Flow Coefficient
  • Cd : Discharge Coefficient
  • Cv* : Dimensionless US Flow Coefficient (Cv-us / IDin^2)
  • Cv-met : Metric Flow Coefficient
  • Cv-uk : UK Flow Coefficient
  • Cv-us : US Flow Coefficient
  • ID : Pipe Inside Diameter
  • IDin : Inside Diameter Inches
  • K : Friction Factor Or Resistance Factor
  • Kv : EU Flow Coefficient

CALCULATOR : Pipe Fitting Parallel And Series Dimensionless Flow Coefficient [FREE]   ±

Calculate pipe fitting total dimensionless flow coefficient Cv* for parallel and series flow.

Enter the dimensionless flow coefficient and inside diameter data as comma separated data pairs (Cv*i,IDi), with each pair on a new line. The data can also be copied from a spreadsheet, or copied as tab separated pairs. The dimensionless flow coefficient can either be converted to the nominal diameter, or used as entered. The total friction factor K, total discharge coefficient Cd, and total flow coefficients Av, Cv-uk, Cv-us and Kv are also calculated. The K factor, discharge coefficient and dimensionless flow coefficient are calculated for the nominal diameter.

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
  • dtype : Internal Diameter Type
  • flowtype : Flow Type
  • Cvdata : Discharge Coefficient Data
  • IDdata : Flow Diameter Data

Tool Output

  • Av : SI Flow Coefficient
  • Cd : Discharge Coefficient
  • Cv* : Dimensionless US Flow Coefficient (Cv-us / IDin^2)
  • Cv-met : Metric Flow Coefficient
  • Cv-uk : UK Flow Coefficient
  • Cv-us : US Flow Coefficient
  • ID : Pipe Inside Diameter
  • IDin : Inside Diameter Inches
  • K : Friction Factor Or Resistance Factor
  • Kv : EU Flow Coefficient

CALCULATOR : Pipe Fitting Total K Factor [FREE]   ±

Calculate pipe fitting total friction factor K for series flow.

Enter the K factor and number of items for each fitting type. The diameter is assumed constant. Calculation details are displayed at the bottom of the page.

Tool Input

Tool Output

  • ΣK : Total Friction Factor Or Resistance Factor