| CALC : Flow : Bernoulli 032 : Flow Meter Static Pressure Difference - From Flow Rate : Calculator
Description : Calculate the static pressure difference across a Bernoulli type flow meter.
Discussion : 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.
Note : The pressure losses only apply to the inlet of the flow meter. There are additional losses downstream.
Figures :
Input Variables :
- ρ = Fluid Density
- Cd = Dimensionless Discharge Coefficient Cd
- D1 = Section 1 Internal Diameter
- D2 = Section 2 Internal Diameter
- Q = Fluid Volume Flowrate
- g = Standard Gravity Acceleration At Sea Level
Output Variables :
- ΔPf = Fluid Friction Pressure Loss
- ΔPs = Fluid Static Pressure Difference
Calculation :
ΔPs = ( 8 ρ Q 2 ) / ( Cd 2 π 2 )( D1 4 - D2 4 ) / ( D1 4 D2 4 )
ΔPf = ΔPs + 8 ρ Q 2 / π 2 ( D2 4 - D1 4 ) / ( D2 4 D1 4 )
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