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Compressible Flow Pressure Loss Factor

Calculate compressible flow pressure loss factor for subsonic and supersonic pipe flow.

The pressure loss factor is calculated from the Darcy friction factor and the minor loss factors

`fld = (f L) / D + K `

where :

fld = pressure loss factor
f = Darcy friction factor
L = pipe length
D = pipe internal diameter
K = sum of minor loss factors

Minor losses can also be accounted for using an equivalent length.

Reference : Fluid Mechanics, Frank M White, McGraw Hill

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CALCULATOR : Compressible Flow Gas Duct Vent Or Header Pressure Loss Factor fL/D From The Moody Diagram [PLUS]   ±

Calculate gas pipe flow Darcy friction factor and pressure loss factor from either the Moody diagram or the Von Karman rough pipe equation.

At high Reynolds numbers the Moody diagram friction factor is fully turbulent friction factor and is dependent on the pipe roughness only. The pressure loss factor (fL/D) includes minor losses. Minor losses can be entered as either a K factor, an equivalent added length, or an equivalent added length over diameter ratio.

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
  • rfactype : Pipe Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • fluidtype : Fluid Type
    • γu : User Defined Specific Heat Ratio
    • SGu : User Defined Gas Specific Gravity
  • zfactype : Factor Type
    • Zu : User Defined Compressibility Factor
  • vctype : Speed Of Sound Type
    • Cu : User Defined Sound Velocity
  • machtype : Flow Rate Type
    • Vu : User Defined Velocity
    • Mu : User Defined Mach Number
    • mfu : User Defined Mass Flow Rate
    • ngu : User Defined Mole Flow Rate
    • Reu : User Defined Reynolds Number
  • visctype : Viscosity Type
    • μu : User Defined Dynamic Viscosity
    • νu : User Defined Kinematic Viscosity
  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • leqtype : Minor Pressure Loss Type
    • Ku : User Defined Minor Loss K Factor
    • lu : User Defined Minor Loss Length
    • lodu : User Defined Minor Loss Diameters (L/ID)
    • Leu : User Defined Equivalent Length
    • fL/Du : User Defined Pressure Loss Factor
  • P : Fluid Pressure
  • T : Fluid Temperature
  • L : Pipe Length

Tool Output

  • γ : Specific Heat Ratio
  • μ : Dynamic Viscosity
  • ρ : Fluid Density
  • Ax : Nominal Cross Section Area
  • C : Speed Of Sound
  • ID : Inside Diameter
  • Le : Pipe Eqivalent Length
  • M : Flow Mach Number
  • Qf : Volume Flowrate
  • Re : Reynolds Number
  • Rg : Specific Gas Constant
  • SG : Gas Specific Gravity Relative To Air
  • V : Fluid Velocity
  • Z : Compressibility Factor
  • cvg : Convergence Factor (≅ 1)
  • fL/D : Pressure Loss Factor Including Minor Losses
  • fd : Darcy Friction Factor
  • mf : Mass Flowrate
  • mmg : Gas Molar Mass
  • ng : Mole Flow Rate
  • rr : Surface Roughness Ratio
  • vg : Mole Specific Volume

CALCULATOR : Compressible Flow Steam Duct Vent Or Header Pressure Loss Factor fL/D From The Moody Diagram [PLUS]   ±

Calculate steam pipe Darcy friction factor and pressure loss factor from either the Moody diagram or the Von Karman rough pipe equation.

At high Reynolds numbers the Moody diagram friction factor is fully turbulent and is dependent on the pipe roughness only. The pressure loss factor (fLe/ID) includes minor losses. Minor losses can be entered as either a K factor, an equivalent added length, or an equivalent added length over diameter ratio.

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
  • rfactype : Pipe Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • fluidtype : Specific Heat Ratio Type
    • γu : User Defined Specific Heat Ratio
  • zfactype : Factor Type
    • Zu : User Defined Compressibility Factor
  • vctype : Speed Of Sound Type
    • Cu : User Defined Sound Velocity
  • machtype : Flow Rate Type
    • Vu : User Defined Velocity
    • Mu : User Defined Mach Number
    • mfu : User Defined Mass Flow Rate
    • ngu : User Defined Mole Flow Rate
    • Reu : User Defined Reynolds Number
  • visctype : Viscosity Type
    • μu : User Defined Dynamic Viscosity
    • νu : User Defined Kinematic Viscosity
  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • leqtype : Minor Pressure Loss Type
    • Ku : User Defined Minor Loss K Factor
    • lu : User Defined Minor Loss Length
    • lodu : User Defined Minor Loss Diameters (L/ID)
    • Leu : User Defined Equivalent Length
    • fL/Du : User Defined Pressure Loss Factor
  • P : Fluid Pressure
  • T : Fluid Temperature
  • L : Pipe Length

Tool Output

  • γ : Specific Heat Ratio
  • μ : Dynamic Viscosity
  • ρ : Fluid Density
  • Ax : Nominal Cross Section Area
  • C : Speed Of Sound
  • ID : Inside Diameter
  • Le : Pipe Eqivalent Length
  • M : Flow Mach Number
  • Qf : Volume Flowrate
  • Re : Reynolds Number
  • Rg : Specific Gas Constant
  • SG : Gas Specific Gravity Relative To Air
  • V : Velocity
  • Z : Compressibility Factor
  • cvg : Convergence Factor (≅ 1)
  • fL/D : Pressure Loss Factor Including Minor Losses
  • fd : Darcy Friction Factor
  • mf : Mass Flowrate
  • mmg : Gas Molar Mass
  • ng : Mole Flow Rate
  • rr : Surface Roughness Ratio
  • vg : Mole Specific Volume

CALCULATOR : Compressible Flow Duct Vent Or Header Pressure Loss Factor fL/D From The Von Karman Rough Pipe Equation [FREE]   ±

Calculate duct, vent or header Darcy friction factor (fd) and pressure loss factor (fL/D) from the Von Karman rough pipe equation.

At high Reynolds numbers the flow is fully turbulent and the Darcy friction factor is dependent on the pipe roughness only. Minor losses can be included in the pressure loss factor, either as a K factor, an equivalent added length, or an equivalent added length over diameter ratio.

Tool Input

  • schdtypea : Vent Schedule Type
  • diamtypea : Vent Diameter Type
    • ODu : User Defined Vent Outside Diameter
    • IDu : User Defined Vent Inside Diameter
  • wtntype : Vent Wall Thickness Type
    • tnu : User Defined Vent Wall Thickness
  • rfactype : Vent Internal Roughness Type
    • ru : User Defined Surface Roughness
    • rru : User Defined Relative Roughness
  • fdtype : Darcy Friction Factor Type
    • fdu : User Defined Darcy Friction Factor
  • leqtype : Minor Pressure Loss Type
    • ku : User Defined Minor Loss K Factor
    • lu : User Defined Minor Loss Length
    • lodu : User Defined Minor Loss Diameters (L/ID)
    • fL/Du : User Defined Pressure Loss Factor
  • Lv : Vent Length

Tool Output

  • ID : Vent Inside Diameter
  • Le : Vent Eqivalent Length
  • fL/D : Pressure Loss Factor Including Minor Losses
  • fd : Darcy Friction Factor
  • rr : Surface Roughness Ratio

CALCULATOR : Compressible Flow Steam Table [FREE]   ±

Calculate steam table properties from temperature and pressure (IAPWS R7-97 Steam Table).

Steam table values can be calculated for water and steam, saturated water, saturated steam, saturated water and steam, metastable water, and metastable steam. The calculations for water and steam are valid between 273.15 K and 1073.15 K (0 to 100 MPa), and between 1073.15 K and 2273.15 K (0 to 50 MPa).

The saturated water and steam calculations are valid between 273.15 K and 647.096 K.

The metastable calculation is valid between 273.15 K and 647.096 K, and for pressure from the saturated vapour line to the 5% equilibium moisture line (user defined). Use the Result Plot option to plot the steam properties versus temperature and pressure.

Note : There is an anomaly in the steam calculation for region 3 between the saturated vapour line, the regions 2/3 boundary, and the critical pressure. Select either region 2 or region 3 for calculations in the anomaly zone.

Reference : IAPWS R7-97 Industrial Formulation for thermodynamic Properties of Water and Steam

Tool Input

  • anomtype : Region 2/3 Anomaly Type
  • proptype : Steam Phase
    • Pu : User Defined Pressure
    • Tu : User Defined Temperature
    • Xu : User Defined Saturated Steam Quality

Tool Output

  • ρ : Density
  • Cp : Specific Heat Constant Pressure
  • Cp-Cv : Delta Specific Heat (Cp - Cv)
  • Cp/Cv : Specific Heat Ratio
  • Cv : Specific Heat Constant Volume
  • P : Pressure
  • T : Temperature
  • Vc : Speed Of Sound
  • Z : Compressibility Factor
  • cvg : Convergence Check
  • h : Enthalpy
  • s : Entropy
  • u : Internal Energy
  • vg : Mole Specific Volume
  • vm : Specific Volume
  • wv : Specific Weight