### Abstract

Turbulent two-phase flow equations are derived and solved for fully developed pipe flow using a composite eddy-viscosity model and a new void-fraction equation. The void fraction profile is first specified from experiments and the velocity field is calculated to validate the eddy viscosity model. Consequently, a new equation is presented for calculation of the void fraction. This void-fraction equation incorporates the gradient of turbulent normal stresses in the radial direction, the conventional lift force, and a contribution from the unsteady drag force. The implications of this new equation, for the bubbly flow regime, are investigated by calculating the void-fraction distribution for a given velocity field. Inclusion of the normal turbulent stresses in the radial direction is shown to simulate correctly the experimentally observed trends of the phase distribution, both for upward and downward bubbly flow, without the need for a fictitious term such as the so called "lubrication force".

Original language | English (US) |
---|---|

Pages (from-to) | 289-311 |

Number of pages | 23 |

Journal | Flow, Turbulence and Combustion |

Volume | 68 |

Issue number | 4 |

DOIs | |

State | Published - Dec 1 2002 |

Externally published | Yes |

### Fingerprint

### Keywords

- Bubbly flow
- Eddy-viscosity model
- Gas-liquid flow
- Modeling
- Phase distribution
- Pseudo-turbulence
- Two-phase turbulence
- Void-fraction equation

### ASJC Scopus subject areas

- Chemical Engineering(all)
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

### Cite this

*Flow, Turbulence and Combustion*,

*68*(4), 289-311. https://doi.org/10.1023/A:1021765605698

**A new approach in modeling phase distribution in fully developed bubbly pipe flow.** / Celik, Ismail; Gel, Aytekin.

Research output: Contribution to journal › Article

*Flow, Turbulence and Combustion*, vol. 68, no. 4, pp. 289-311. https://doi.org/10.1023/A:1021765605698

}

TY - JOUR

T1 - A new approach in modeling phase distribution in fully developed bubbly pipe flow

AU - Celik, Ismail

AU - Gel, Aytekin

PY - 2002/12/1

Y1 - 2002/12/1

N2 - Turbulent two-phase flow equations are derived and solved for fully developed pipe flow using a composite eddy-viscosity model and a new void-fraction equation. The void fraction profile is first specified from experiments and the velocity field is calculated to validate the eddy viscosity model. Consequently, a new equation is presented for calculation of the void fraction. This void-fraction equation incorporates the gradient of turbulent normal stresses in the radial direction, the conventional lift force, and a contribution from the unsteady drag force. The implications of this new equation, for the bubbly flow regime, are investigated by calculating the void-fraction distribution for a given velocity field. Inclusion of the normal turbulent stresses in the radial direction is shown to simulate correctly the experimentally observed trends of the phase distribution, both for upward and downward bubbly flow, without the need for a fictitious term such as the so called "lubrication force".

AB - Turbulent two-phase flow equations are derived and solved for fully developed pipe flow using a composite eddy-viscosity model and a new void-fraction equation. The void fraction profile is first specified from experiments and the velocity field is calculated to validate the eddy viscosity model. Consequently, a new equation is presented for calculation of the void fraction. This void-fraction equation incorporates the gradient of turbulent normal stresses in the radial direction, the conventional lift force, and a contribution from the unsteady drag force. The implications of this new equation, for the bubbly flow regime, are investigated by calculating the void-fraction distribution for a given velocity field. Inclusion of the normal turbulent stresses in the radial direction is shown to simulate correctly the experimentally observed trends of the phase distribution, both for upward and downward bubbly flow, without the need for a fictitious term such as the so called "lubrication force".

KW - Bubbly flow

KW - Eddy-viscosity model

KW - Gas-liquid flow

KW - Modeling

KW - Phase distribution

KW - Pseudo-turbulence

KW - Two-phase turbulence

KW - Void-fraction equation

UR - http://www.scopus.com/inward/record.url?scp=0036980810&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036980810&partnerID=8YFLogxK

U2 - 10.1023/A:1021765605698

DO - 10.1023/A:1021765605698

M3 - Article

VL - 68

SP - 289

EP - 311

JO - Flow, Turbulence and Combustion

JF - Flow, Turbulence and Combustion

SN - 1386-6184

IS - 4

ER -