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Bernoulli's Equation Flow Meter

Calculate fluid flowrate from flowmeter pressure measurements using the Bernoulli equation.

The flowrate through a flow meter can be calculated from the difference in static pressure using the Bernoulli equation. The discharge coefficient accounts for friction losses through the flow meter. Bernoulli flow meters are normally installed horizontal so that changes in elevation can be ignored.

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CALCULATOR : Bernoulli Equation Liquid Flow Meter Flowrate From Static Pressure Difference [FREE]   ±

Calculate the Bernoulli equation liquid flowrate through a flow meter from delta pressure.

Bernoulli type flow meters are normally installed horizontal so that changes in elevation can be ignored. Fluid friction losses are accounted for by the discharge coefficient Cd. For orifice plate flow meters the discharge coefficient is approximately 0.6. For venturi, ISA 1932 nozzle and long radius type flow meters the discharge coefficient is approximately 0.95.

Tool Input

  • schdtype : Pipe Schedule Type
  • diamtype : Pipe Diameter Type
    • ODpu : User Defined Pipe Outside Diameter
    • IDpu : User Defined Pipe Inside Diameter
  • wtntype : Wall Thickness Type
    • tnpu : User Defined Pipe Wall Thickness
  • IDm : Flow Meter Inside Diameter
  • ρ : Density
  • Pp : Pipe Static Pressure
  • Pm : Flow Meter Static Pressure
  • Cd : Discharge Coefficient

Tool Output

  • IDp : Pipe Inside Diameter
  • M : Mass Flow Rate
  • Q : Volume Flowrate
  • Vm : Flow Meter Velocity
  • Vp : Pipe Velocity

CALCULATOR : Bernoulli Equation Fresh Water Density From Temperature [FREE]   ±

Calculate Bernoulli equation fresh water density from temperature at atmospheric pressure (IAPWS R7-97 steam table).

The calculation is valid from the freezing point (0 C) to the boiling point (100 C). Use the Result Plot option to plot density versus temperature.

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

Tool Input

  • T : Temperature

Tool Output

  • ρ : Density

CALCULATOR : Bernoulli Equation Salt Water Density From Temperature And Salinity [FREE]   ±

Calculate Bernoulli equation salt water density from temperature and practical salinity at atmospheric pressure (TEOS-10 seawater).

Practical salinity = parts per thousand of dissolved solids (mainly salt). The absolute salinity is taken as 35.16504 / 35 times the practical salinity. The absolute salinity anomaly δSA is ignored. Use the Result Plot option to plot density versus temperature.

Reference : TEOS-10 Thermodynamic Equation Of Seawater (2010)

Tool Input

  • T : Seawater Temperature

Tool Output

  • ρ : Seawater Density

CALCULATOR : Bernoulli Equation Liquid Density And Specific Gravity [FREE]   ±

Calculate Bernoulli equation liquid density and specific gravity, degrees Baume, degrees Twaddell, and degrees API.

For liquids lighter than or equal to water the density can be defined as degrees API, or degrees Baume (Be-). For liquids heavier than water the density can be defined by degrees Baume (Be+), or degrees Twaddell.

Tool Input

  • sgtype : Density Type
    • SGu : User Defined Specific Gravity
    • Be+u : User Defined Degrees Baume SG > 1
    • Be-u : User Defined Degrees Baume SG <= 1
    • Twu : User Defined Degrees Twaddell SG > 1
    • APIu : User Defined Degrees API SG <= 1
    • ρu : User Defined Liquid Density

Tool Output

  • ρ : Fluid Density
  • API : Degrees API SG ≤ 1
  • Be+ : Degrees Baume SG > 1
  • Be- : Degrees Baume SG ≤ 1
  • SG : Specific Gravity
  • Tw : Degrees Twaddell SG > 1