## Abstract

Moving liquid columns and entrapped gas pockets are basic ingredients in the industrial processes of starting flow and pipe filling. Within limits, the liquid columns can be modeled as masses and the gas pockets as springs. Such a simple model already gives useful estimates of maximum pressures and temperatures in the gas pockets. Herein we consider a gas pocket located at a closed pipe end which is being compressed by a liquid column. In particular the situation is considered where the mass-stiffness ratios of the liquid-gas system and the vibrating dead end are of the same order of magnitude, so that fluid-structure interaction must be taken into account. This leads to interesting nonlinear behavior of the twofold springmass model representing the system. Any acoustic effects (wave propagation) are ignored. The study aims at finding dimensionless dynamic load factors and vibration frequencies in pipe systems filled with liquid and gas.

Original language | English |
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Title of host publication | ASME 2018 Pressure Vessels and Piping Conference, PVP 2018 |

Subtitle of host publication | Volume 4: Fluid-Structure Interaction |

Place of Publication | New York |

Publisher | American Society of Mechanical Engineers |

Number of pages | 6 |

ISBN (Electronic) | 978-0-7918-5165-4 |

DOIs | |

Publication status | Published - 2018 |

Event | ASME 2018 Pressure Vessels and Piping Conference, PVP 2018 - Prague, Czech Republic Duration: 15 Jul 2018 → 20 Jul 2018 |

### Conference

Conference | ASME 2018 Pressure Vessels and Piping Conference, PVP 2018 |
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Country | Czech Republic |

City | Prague |

Period | 15/07/18 → 20/07/18 |

## Keywords

- Bagnold model
- Entrapped gas pocket
- FSI
- Liquid column
- Liquid slug
- Mass oscillation
- Nonlinear spring