### Abstract

A gas-liquid two phase flow is complicated and it has not been understood well thus far, in spite of extensive investigation. Numerical simulation is a potential approach to understand this phenomenon. Although a number of studies have been conducted to understand the behavior of bubbles on the basis of computational fluid dynamics (CFD), it is difficult to completely simulate a complicated three-phase flow, including coalescence and breakup of bubbles. Although the two-fluid model based on the semi-empirical model can well estimate the actual behavior of the system in which the equations are derived, the estimation over the applicable region of equations does not always agree with the actual result. Since the 1960s, various procedures have been proposed to directly track the free surface between two phases, for example, the adaptive mesh method and the particle method. Although each of these methods has certain advantages and disadvantages, the volume of fluid (VOF) method is the most acceptable method for capturing the free surface accurately and clearly. However, a concern related to this method is the maintenance of a constant volume of the fluid. In this study, a simulation code using the VOF method is developed in order to estimate the behavior of bubbles in a vertical pipe. Further, an offset of the volume fraction is introduced to stably calculate and minimize the volume fluctuation. The effect of the surface tension is also built into the program in order to estimate the behavior of the bubbles rising through the liquid medium. The simulations of the collapsed water column and a single rising bubble are conducted with the proposed simulation code. Consequently, we confirm that these results fairly agree with the experimental ones.

Original language | English |
---|---|

Title of host publication | ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 |

Pages | 845-854 |

Number of pages | 10 |

Edition | PARTS A AND B |

Publication status | Published - Dec 1 2011 |

Event | ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 - Denver, CO, United States Duration: Nov 11 2011 → Nov 17 2011 |

### Publication series

Name | ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 |
---|---|

Number | PARTS A AND B |

Volume | 6 |

### Other

Other | ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 |
---|---|

Country | United States |

City | Denver, CO |

Period | 11/11/11 → 11/17/11 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mechanical Engineering

### Cite this

*ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011*(PARTS A AND B ed., pp. 845-854). (ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011; Vol. 6, No. PARTS A AND B).

**The direct numerical simulation of the rising gas bubble with the volume of fluid (VOF) method.** / Hironaka, Shuji; Manabe, Saki; Fujisawa, Yuki; Inoue, Gen; Matsukuma, Yosuke; Minemoto, Masaki.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011.*PARTS A AND B edn, ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011, no. PARTS A AND B, vol. 6, pp. 845-854, ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011, Denver, CO, United States, 11/11/11.

}

TY - GEN

T1 - The direct numerical simulation of the rising gas bubble with the volume of fluid (VOF) method

AU - Hironaka, Shuji

AU - Manabe, Saki

AU - Fujisawa, Yuki

AU - Inoue, Gen

AU - Matsukuma, Yosuke

AU - Minemoto, Masaki

PY - 2011/12/1

Y1 - 2011/12/1

N2 - A gas-liquid two phase flow is complicated and it has not been understood well thus far, in spite of extensive investigation. Numerical simulation is a potential approach to understand this phenomenon. Although a number of studies have been conducted to understand the behavior of bubbles on the basis of computational fluid dynamics (CFD), it is difficult to completely simulate a complicated three-phase flow, including coalescence and breakup of bubbles. Although the two-fluid model based on the semi-empirical model can well estimate the actual behavior of the system in which the equations are derived, the estimation over the applicable region of equations does not always agree with the actual result. Since the 1960s, various procedures have been proposed to directly track the free surface between two phases, for example, the adaptive mesh method and the particle method. Although each of these methods has certain advantages and disadvantages, the volume of fluid (VOF) method is the most acceptable method for capturing the free surface accurately and clearly. However, a concern related to this method is the maintenance of a constant volume of the fluid. In this study, a simulation code using the VOF method is developed in order to estimate the behavior of bubbles in a vertical pipe. Further, an offset of the volume fraction is introduced to stably calculate and minimize the volume fluctuation. The effect of the surface tension is also built into the program in order to estimate the behavior of the bubbles rising through the liquid medium. The simulations of the collapsed water column and a single rising bubble are conducted with the proposed simulation code. Consequently, we confirm that these results fairly agree with the experimental ones.

AB - A gas-liquid two phase flow is complicated and it has not been understood well thus far, in spite of extensive investigation. Numerical simulation is a potential approach to understand this phenomenon. Although a number of studies have been conducted to understand the behavior of bubbles on the basis of computational fluid dynamics (CFD), it is difficult to completely simulate a complicated three-phase flow, including coalescence and breakup of bubbles. Although the two-fluid model based on the semi-empirical model can well estimate the actual behavior of the system in which the equations are derived, the estimation over the applicable region of equations does not always agree with the actual result. Since the 1960s, various procedures have been proposed to directly track the free surface between two phases, for example, the adaptive mesh method and the particle method. Although each of these methods has certain advantages and disadvantages, the volume of fluid (VOF) method is the most acceptable method for capturing the free surface accurately and clearly. However, a concern related to this method is the maintenance of a constant volume of the fluid. In this study, a simulation code using the VOF method is developed in order to estimate the behavior of bubbles in a vertical pipe. Further, an offset of the volume fraction is introduced to stably calculate and minimize the volume fluctuation. The effect of the surface tension is also built into the program in order to estimate the behavior of the bubbles rising through the liquid medium. The simulations of the collapsed water column and a single rising bubble are conducted with the proposed simulation code. Consequently, we confirm that these results fairly agree with the experimental ones.

UR - http://www.scopus.com/inward/record.url?scp=84869203073&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84869203073&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84869203073

SN - 9780791854921

T3 - ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011

SP - 845

EP - 854

BT - ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011

ER -