Instrumentation & Automation
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Orifice Plate - Gas Mixtures

Example Of Gas Flowrate
Flowrate - Volume Std. Cond.
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 84,000 Pipe diameter at 20 ° D20 mm 150,000 Device material steel AISI 321, S32100 Pipe material steel 1030, 1034, 1035, 1038 Arithmetical mean deviation of the roughness profile (Steel new, seamless hot drawn) Ra mm 0,0300 Uniform equivalent roughness Rk mm 0,1000 Tapping Corner Operating temperature t °С 2,00 Atmospheric pressure pa kPa 100,50 Upstream pressure pu kPa 1200,00 Differential pressure Δp kPa 16,00 Operating conditions Dynamic viscosity μ μPa·s 10,4961 Density, standard conditions ρs kg/m³ 0,6800 Compressibility factor K - 0,97170 Adiabatic index k - 1,31174

2. Calculation of intermediate values
 Calculated values Symbol Unit Value Absolute pressure p kPa 1300,50 Thermodynamic temperature T °K 275,15 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 84,0000 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 150,0000 Diameter ratio β - 0,560000 Input rate factor E - 1,05312 Density, operating conditions ρ kg/m³ 9,5695 Expansibility factor ε - 0,99638

3. Final calculations
 Calculated values Symbol Unit Value 1-st approximation Reynolds number Re - 1000000 Discharge coefficient C - 0,605036 The roughness coefficient of the internal surface of the pipe Kr - 1,00102 Volume flowrate, standard conditions qvs m³/s 2,86610 2-nd approximation Reynolds number Re - 1576127 Discharge coefficient C - 0,604617 The roughness coefficient of the internal surface of the pipe Kr - 1,00140 Volume flowrate, standard conditions qvs m³/s 2,86519 Deviation Δ % 0,0003188 3-d approximation Reynolds number Re - 1575624 Discharge coefficient C - 0,604617 The roughness coefficient of the internal surface of the pipe Kr - 1,00140 Volume flowrate, standard conditions qvs m³/s 2,86519 Deviation Δ % 0,0000002