Instrumentation & Automation

Windows ⁄ Android

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 °C | 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 | p_{a} | kPa | 100,50 |

Upstream pressure | p_{u} | 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 | K_{d} | - | 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 | K_{p} | - | 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 | - | 0,947478 |

The roughness coefficient of the internal surface of the pipe | Kr | - | 1,00467 |

Mass flowrate | q_{m} | kg/s | 2,22004 |

2-nd approximation | |||

Reynolds number | Re | - | 1197870 |

Discharge coefficient | C | - | 0,947478 |

The roughness coefficient of the internal surface of the pipe | Kr | - | 1,00467 |

Mass flowrate | q_{m} | kg/s | 2,22004 |

Deviation | Δ | % | 0,0000000 |