Table 1

Symbol . | Parameter . | Value . |
---|---|---|

L (m) | Total length of main pipe | 100 |

L_{1} (m) | Main pipe length from measurement point to upstream reservoir | 90 |

L_{2} (m) | Main pipe length from measurement point to end valve | 10 |

L_{3} (m) | Length of stub | Varies |

EL_{1} (m) | Upstream reservoir elevation | 10.0 |

EL_{2} (m) | Downstream reservoir elevation | 8.0 |

D_{1} = D_{2} = D (mm) | Main pipe diameter | 1,000 |

D_{3} (m) | Stub diameter | Varies |

f_{1} = f_{2} | Friction factor for main pipe | 0.018 |

f_{3} | Friction factor for stub (for D_{3} = 15 mm) | 0.073 |

h (m) _{f} | Head loss in main pipe for frictional case | 0.3 |

a_{1}=a_{2} = a_{3} (m/s) | Wave speeds in main pipe and stub | 1,000 |

V_{0} (m/s) | Initial velocity for frictionless system | 1.98 |

V_{0-f} (m/s) | Initial velocity for frictional system | 1.82 |

Initial dimensionless valve position | 1.0 | |

Final dimensionless valve position | 0.0 | |

EM | Exponent that defines the valve curve | 1.0 |

K_{0} | Valve loss coefficient when the valve is fully open | 10.0 |

Δx (m) | Reach length in MOC calculations | 0.1 |

Δt (s) | Time step in MOC calculations | 0.00001 |

t (s) _{c} | Time of closure of valve | Varies |

Symbol . | Parameter . | Value . |
---|---|---|

L (m) | Total length of main pipe | 100 |

L_{1} (m) | Main pipe length from measurement point to upstream reservoir | 90 |

L_{2} (m) | Main pipe length from measurement point to end valve | 10 |

L_{3} (m) | Length of stub | Varies |

EL_{1} (m) | Upstream reservoir elevation | 10.0 |

EL_{2} (m) | Downstream reservoir elevation | 8.0 |

D_{1} = D_{2} = D (mm) | Main pipe diameter | 1,000 |

D_{3} (m) | Stub diameter | Varies |

f_{1} = f_{2} | Friction factor for main pipe | 0.018 |

f_{3} | Friction factor for stub (for D_{3} = 15 mm) | 0.073 |

h (m) _{f} | Head loss in main pipe for frictional case | 0.3 |

a_{1}=a_{2} = a_{3} (m/s) | Wave speeds in main pipe and stub | 1,000 |

V_{0} (m/s) | Initial velocity for frictionless system | 1.98 |

V_{0-f} (m/s) | Initial velocity for frictional system | 1.82 |

Initial dimensionless valve position | 1.0 | |

Final dimensionless valve position | 0.0 | |

EM | Exponent that defines the valve curve | 1.0 |

K_{0} | Valve loss coefficient when the valve is fully open | 10.0 |

Δx (m) | Reach length in MOC calculations | 0.1 |

Δt (s) | Time step in MOC calculations | 0.00001 |

t (s) _{c} | Time of closure of valve | Varies |

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