### Abstract

A theoretical analysis for the onset of gas pull-through (entrainment) during discharge from a stratified two-phase region through two vertically aligned side branches has been developed in this paper. Initially, a simplified point-sink model was developed; this was followed by the acquisition of a more accurate finite branch model. The predicted value of the critical height at the onset of gas entrainment was found to be a function of each branches' corresponding Froude number (Fr_{1} and Fr_{2}), as well as the ratio between the vertical distance connecting the centerlines of the two branches and the diameter of the branches (L/d). The predicted values of the critical heights were found to be consistent with the corresponding experimental data at different values of Fr_{1} Fr_{2} and L/d. From the basis of the present models, it was established that when increasing the flow through the lower branch, the critical height increased for all values of Fr_{1} and L/d. In addition, it was found that increasing the vertical distance between the two branches, reduced the effects of the lower branch on the determination of the critical height.

Original language | English |
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Title of host publication | Proceedings of the 4th ASME/JSME Joint Fluids Engineering Conference: Volume 1, part B, Forums |

Editors | A. Ogut, Y. Tsuji, M. Kawahashi, A. Ogut, Y. Tsuji, M. Kawahashi |

Pages | 1425-1431 |

Number of pages | 7 |

Volume | 1 B |

Publication status | Published - 2003 |

Externally published | Yes |

Event | 4th ASME/JSME Joint Fluids Engineering Conference - Honolulu, HI, United States Duration: 6 Jul 2003 → 10 Jul 2003 |

### Other

Other | 4th ASME/JSME Joint Fluids Engineering Conference |
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Country | United States |

City | Honolulu, HI |

Period | 6/7/03 → 10/7/03 |

### Fingerprint

### ASJC Scopus subject areas

- Mechanical Engineering
- Fluid Flow and Transfer Processes

### Cite this

*Proceedings of the 4th ASME/JSME Joint Fluids Engineering Conference: Volume 1, part B, Forums*(Vol. 1 B, pp. 1425-1431)

**Modeling of the onset of gas entrainment from a stratified two-phase region through two side branches.** / Ahmed, M.; Lenard, K.; Hassan, Ibrahim; Esmail, N.

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

*Proceedings of the 4th ASME/JSME Joint Fluids Engineering Conference: Volume 1, part B, Forums.*vol. 1 B, pp. 1425-1431, 4th ASME/JSME Joint Fluids Engineering Conference, Honolulu, HI, United States, 6/7/03.

}

TY - GEN

T1 - Modeling of the onset of gas entrainment from a stratified two-phase region through two side branches

AU - Ahmed, M.

AU - Lenard, K.

AU - Hassan, Ibrahim

AU - Esmail, N.

PY - 2003

Y1 - 2003

N2 - A theoretical analysis for the onset of gas pull-through (entrainment) during discharge from a stratified two-phase region through two vertically aligned side branches has been developed in this paper. Initially, a simplified point-sink model was developed; this was followed by the acquisition of a more accurate finite branch model. The predicted value of the critical height at the onset of gas entrainment was found to be a function of each branches' corresponding Froude number (Fr1 and Fr2), as well as the ratio between the vertical distance connecting the centerlines of the two branches and the diameter of the branches (L/d). The predicted values of the critical heights were found to be consistent with the corresponding experimental data at different values of Fr1 Fr2 and L/d. From the basis of the present models, it was established that when increasing the flow through the lower branch, the critical height increased for all values of Fr1 and L/d. In addition, it was found that increasing the vertical distance between the two branches, reduced the effects of the lower branch on the determination of the critical height.

AB - A theoretical analysis for the onset of gas pull-through (entrainment) during discharge from a stratified two-phase region through two vertically aligned side branches has been developed in this paper. Initially, a simplified point-sink model was developed; this was followed by the acquisition of a more accurate finite branch model. The predicted value of the critical height at the onset of gas entrainment was found to be a function of each branches' corresponding Froude number (Fr1 and Fr2), as well as the ratio between the vertical distance connecting the centerlines of the two branches and the diameter of the branches (L/d). The predicted values of the critical heights were found to be consistent with the corresponding experimental data at different values of Fr1 Fr2 and L/d. From the basis of the present models, it was established that when increasing the flow through the lower branch, the critical height increased for all values of Fr1 and L/d. In addition, it was found that increasing the vertical distance between the two branches, reduced the effects of the lower branch on the determination of the critical height.

UR - http://www.scopus.com/inward/record.url?scp=0347534942&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347534942&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0347534942

SN - 0791836967

VL - 1 B

SP - 1425

EP - 1431

BT - Proceedings of the 4th ASME/JSME Joint Fluids Engineering Conference: Volume 1, part B, Forums

A2 - Ogut, A.

A2 - Tsuji, Y.

A2 - Kawahashi, M.

A2 - Ogut, A.

A2 - Tsuji, Y.

A2 - Kawahashi, M.

ER -