### Abstract

Three-phase flow formed in a disrupted core of nuclear reactors is one of the key phenomena to be simulated in reactor safety analysis. Particle-based simulation could be a powerful CFD tool to understand and clarify local thermal-hydraulic behaviors involved in such three-phase flows. In the present study, to develop a computational framework for three-phase flow simulations, a single bubble moving in a stagnant solid particle-liquid mixture pool was simulated using the finite volume particle (FVP) method. The simulations were carried out in a two dimensional system. The bubble shape change and the bubble rise velocity were compared with the newly performed experiments, which used solid particulate glasses of 0.9 mm in diameter, liquid silicone and air. The two-phase flow simulation of a single bubble rising in a stagnant liquid pool reproduced measured bubble shape and bubble rise velocity reasonably. On the other hand, the bubble rise velocity in a stagnant particle-liquid mixture pool was overestimated in comparison with the measurement. This result suggests that particle-particle and particle-fluid interactions would have dominant influence on bubble motion behavior in the particleliquid mixture pool under the present multiphase conditions. To evaluate such interactions in the simulations, the particleparticle interactions were modeled by the distinct element method (DEM), while two models were applied to represent particle-fluid interactions. One is the theoretical model for apparent viscosity of particle-liquid mixture, which describes the viscosity increase of liquid mixed with solids based on the Frankel-Acrivos equation. The other is the drag force model for solid-fluid interactions. In the present study, we took the Gidaspow drag correlation, which is a combination of the Ergun equation and Wen-Yu equation. A comparison of both the transient bubble shape and bubble rise velocity between the results of experiment and simulation demonstrates that the present computational framework based on the FVP method and solid-phase interaction models is useful for numerical simulations of a single bubble moving in a stagnant solid particle-liquid mixture pool.

Original language | English |
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Title of host publication | Beyond Design Basis Events; Student Paper Competition |

Publisher | American Society of Mechanical Engineers (ASME) |

ISBN (Print) | 9780791855836 |

DOIs | |

Publication status | Published - Jan 1 2013 |

Event | 2013 21st International Conference on Nuclear Engineering, ICONE 2013 - Chengdu, China Duration: Jul 29 2013 → Aug 2 2013 |

### Publication series

Name | International Conference on Nuclear Engineering, Proceedings, ICONE |
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Volume | 6 |

### Other

Other | 2013 21st International Conference on Nuclear Engineering, ICONE 2013 |
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Country | China |

City | Chengdu |

Period | 7/29/13 → 8/2/13 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear Energy and Engineering

### Cite this

*Beyond Design Basis Events; Student Paper Competition*(International Conference on Nuclear Engineering, Proceedings, ICONE; Vol. 6). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/ICONE21-16688

**Numerical simulation of single bubble moving in stagnant solidliquid mixture pool using finite volume particle method.** / Aramaki, Yuki; Suzuki, Takahito; Miya, Ichiro; Guo, Liancheng; Morita, Koji.

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

*Beyond Design Basis Events; Student Paper Competition.*International Conference on Nuclear Engineering, Proceedings, ICONE, vol. 6, American Society of Mechanical Engineers (ASME), 2013 21st International Conference on Nuclear Engineering, ICONE 2013, Chengdu, China, 7/29/13. https://doi.org/10.1115/ICONE21-16688

}

TY - GEN

T1 - Numerical simulation of single bubble moving in stagnant solidliquid mixture pool using finite volume particle method

AU - Aramaki, Yuki

AU - Suzuki, Takahito

AU - Miya, Ichiro

AU - Guo, Liancheng

AU - Morita, Koji

PY - 2013/1/1

Y1 - 2013/1/1

N2 - Three-phase flow formed in a disrupted core of nuclear reactors is one of the key phenomena to be simulated in reactor safety analysis. Particle-based simulation could be a powerful CFD tool to understand and clarify local thermal-hydraulic behaviors involved in such three-phase flows. In the present study, to develop a computational framework for three-phase flow simulations, a single bubble moving in a stagnant solid particle-liquid mixture pool was simulated using the finite volume particle (FVP) method. The simulations were carried out in a two dimensional system. The bubble shape change and the bubble rise velocity were compared with the newly performed experiments, which used solid particulate glasses of 0.9 mm in diameter, liquid silicone and air. The two-phase flow simulation of a single bubble rising in a stagnant liquid pool reproduced measured bubble shape and bubble rise velocity reasonably. On the other hand, the bubble rise velocity in a stagnant particle-liquid mixture pool was overestimated in comparison with the measurement. This result suggests that particle-particle and particle-fluid interactions would have dominant influence on bubble motion behavior in the particleliquid mixture pool under the present multiphase conditions. To evaluate such interactions in the simulations, the particleparticle interactions were modeled by the distinct element method (DEM), while two models were applied to represent particle-fluid interactions. One is the theoretical model for apparent viscosity of particle-liquid mixture, which describes the viscosity increase of liquid mixed with solids based on the Frankel-Acrivos equation. The other is the drag force model for solid-fluid interactions. In the present study, we took the Gidaspow drag correlation, which is a combination of the Ergun equation and Wen-Yu equation. A comparison of both the transient bubble shape and bubble rise velocity between the results of experiment and simulation demonstrates that the present computational framework based on the FVP method and solid-phase interaction models is useful for numerical simulations of a single bubble moving in a stagnant solid particle-liquid mixture pool.

AB - Three-phase flow formed in a disrupted core of nuclear reactors is one of the key phenomena to be simulated in reactor safety analysis. Particle-based simulation could be a powerful CFD tool to understand and clarify local thermal-hydraulic behaviors involved in such three-phase flows. In the present study, to develop a computational framework for three-phase flow simulations, a single bubble moving in a stagnant solid particle-liquid mixture pool was simulated using the finite volume particle (FVP) method. The simulations were carried out in a two dimensional system. The bubble shape change and the bubble rise velocity were compared with the newly performed experiments, which used solid particulate glasses of 0.9 mm in diameter, liquid silicone and air. The two-phase flow simulation of a single bubble rising in a stagnant liquid pool reproduced measured bubble shape and bubble rise velocity reasonably. On the other hand, the bubble rise velocity in a stagnant particle-liquid mixture pool was overestimated in comparison with the measurement. This result suggests that particle-particle and particle-fluid interactions would have dominant influence on bubble motion behavior in the particleliquid mixture pool under the present multiphase conditions. To evaluate such interactions in the simulations, the particleparticle interactions were modeled by the distinct element method (DEM), while two models were applied to represent particle-fluid interactions. One is the theoretical model for apparent viscosity of particle-liquid mixture, which describes the viscosity increase of liquid mixed with solids based on the Frankel-Acrivos equation. The other is the drag force model for solid-fluid interactions. In the present study, we took the Gidaspow drag correlation, which is a combination of the Ergun equation and Wen-Yu equation. A comparison of both the transient bubble shape and bubble rise velocity between the results of experiment and simulation demonstrates that the present computational framework based on the FVP method and solid-phase interaction models is useful for numerical simulations of a single bubble moving in a stagnant solid particle-liquid mixture pool.

UR - http://www.scopus.com/inward/record.url?scp=84901700001&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901700001&partnerID=8YFLogxK

U2 - 10.1115/ICONE21-16688

DO - 10.1115/ICONE21-16688

M3 - Conference contribution

AN - SCOPUS:84901700001

SN - 9780791855836

T3 - International Conference on Nuclear Engineering, Proceedings, ICONE

BT - Beyond Design Basis Events; Student Paper Competition

PB - American Society of Mechanical Engineers (ASME)

ER -