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 values Symbol Unit Value Device diameter at 20 °C d20 mm 69,789 Pipe diameter at 20 ° D20 mm 100,300 Device material steel GH2036 Pipe material steel AISI 321, S32100 Arithmetical mean deviation of the roughness profile (Steel new, welded longitudinally) Ra mm 0,0300 Uniform equivalent roughness Rk mm 0,1000 Operating temperature t °С 380,00 Atmospheric pressure pa kPa 100,50 Upstream pressure pu kPa 2500,00 Differential pressure Δp kPa 16,00 Operating conditions Dynamic viscosity μ μPa·s 23,5267 Density, operating conditions ρ kg/m³ 8,9799 Adiabatic index k - 1,34300

2. Calculation of intermediate values
 Calculated values Symbol Unit Value Absolute pressure p kPa 2600,50 Thermodynamic temperature T °K 653,15 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 69,7890 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 100,3000 Diameter ratio β - 0,695803 Input rate factor E - 1,14287 Expansibility factor ε - 0,99517

3. Final calculations
 Calculated values Symbol Unit Value 1-st approximation Reynolds number Re - 1000000 Discharge coefficient C - 0,991053 The roughness coefficient of the internal surface of the pipe Kr - 1,00467 Mass flowrate qm kg/s 2,32214 2-nd approximation Reynolds number Re - 1252960 Discharge coefficient C - 0,991634 The roughness coefficient of the internal surface of the pipe Kr - 1,00467 Mass flowrate qm kg/s 2,32350 Deviation Δ % 0,0005861 3-d approximation Reynolds number Re - 1253695 Discharge coefficient C - 0,991635 The roughness coefficient of the internal surface of the pipe Kr - 1,00467 Mass flowrate qm kg/s 2,32351 Deviation Δ % 0,0000014