Instrumentation & Automation
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Long Radius Nozzle - Vapor

  Example Of Vapor Flowrate
  Flowrate - Mass
  Calculation of the flowrate [q] for a given differential pressure [Δp].
1. Input values
Calculated valuesSymbolUnitValue
Device diameter at 20 °Cd20mm69,789
Pipe diameter at 20 °D20mm100,300
Device materialsteel GH2036
Pipe materialsteel AISI 321, S32100
Arithmetical mean deviation of the roughness profile (Steel new, welded longitudinally)Ramm0,0300
Uniform equivalent roughnessRkmm0,1000
Operating temperaturet°С380,00
Atmospheric pressurepakPa100,50
Upstream pressurepukPa2500,00
Differential pressureΔpkPa16,00
Operating conditions
Dynamic viscosityμμPa·s23,5267
Density, operating conditionsρkg/m³8,9799
Adiabatic indexk-1,34300

2. Calculation of intermediate values
Calculated valuesSymbolUnitValue
Absolute pressurepkPa2600,50
Thermodynamic temperatureT°K653,15
The temperature coefficient of change in the diameter of the device, caused by temperature deviations from 20 °CKd-1,000000
Device diameter at operating temperaturedmm69,7890
The temperature coefficient of change in the diameter of the pipe, caused by temperature deviations from 20 °CKp-1,000000
Pipe diameter at operating temperatureDmm100,3000
Diameter ratioβ-0,695803
Input rate factorE-1,14287
Expansibility factorε-0,99517

3. Final calculations
Calculated valuesSymbolUnitValue
1-st approximation
Reynolds numberRe-1000000
Discharge coefficientC-0,991053
The roughness coefficient of the internal surface of the pipeKr-1,00467
Mass flowrateqmkg/s2,32214
2-nd approximation
Reynolds numberRe-1252960
Discharge coefficientC-0,991634
The roughness coefficient of the internal surface of the pipeKr-1,00467
Mass flowrateqmkg/s2,32350
DeviationΔ%0,0005861
3-d approximation
Reynolds numberRe-1253695
Discharge coefficientC-0,991635
The roughness coefficient of the internal surface of the pipeKr-1,00467
Mass flowrateqmkg/s2,32351
DeviationΔ%0,0000014