Instrumentation & Automation
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# ISA 1932 Nozzle - Liquid

Example Of Water Flowrate
Flowrate - Mass
Calculation of the flowrate [q] for a given differential pressure [Δp].
1. Input values
 Calculated values Symbol Unit Value Device diameter at 20 °C d20 mm 120,000 Pipe diameter at 20 ° D20 mm 200,000 Device material steel AISI 321, S32100 Pipe material steel 1030, 1034, 1035, 1038 Arithmetical mean deviation of the roughness profile (Steel encrusted) Ra mm 0,4000 Uniform equivalent roughness Rk mm 1,2500 Operating temperature t °С 75,00 Atmospheric pressure pa kPa 100,00 Upstream pressure pu kPa 1900,00 Differential pressure Δp kPa 49,00 Operating conditions Dynamic viscosity μ μPa·s 378,2349 Density, operating conditions ρ kg/m³ 975,6960

2. Calculation of intermediate values
 Calculated values Symbol Unit Value Absolute pressure p kPa 2000,00 Thermodynamic temperature T °K 348,15 The temperature coefficient of change in the diameter of the device, caused by temperature deviations from 20 °C Kd - 1,000000 Device diameter at operating temperature d mm 120,0000 The temperature coefficient of change in the diameter of the pipe, caused by temperature deviations from 20 °C Kp - 1,000000 Pipe diameter at operating temperature D mm 200,0000 Diameter ratio β - 0,600000 Input rate factor E - 1,07187 Expansibility factor ε - 1,00000

3. Final calculations
 Calculated values Symbol Unit Value 1-st approximation Reynolds number Re - 1000000 Discharge coefficient C - 0,961911 The roughness coefficient of the internal surface of the pipe Kr - 1,00723 Mass flowrate qm kg/s 114,84923 2-nd approximation Reynolds number Re - 1933066 Discharge coefficient C - 0,962035 The roughness coefficient of the internal surface of the pipe Kr - 1,00723 Mass flowrate qm kg/s 114,86407 Deviation Δ % 0,0001292 3-d approximation Reynolds number Re - 1933315 Discharge coefficient C - 0,962035 The roughness coefficient of the internal surface of the pipe Kr - 1,00723 Mass flowrate qm kg/s 114,86407 Deviation Δ % 0,0000000