## Abstract

The classical Bretherton problem describes the propagation of gas fingers through liquid media in a narrow channel with thin liquid films between bubbles and channel walls. The bubble shape and flow patterns are complicated functions of the capillary number Ca and Reynolds number Re. Recently, we investigated the applicability and parameter selection for the two-dimensional Bretherton problem (flow between parallel plates) using the free-energy binary liquid lattice Boltzmann method (LBM) [1]. This paper is the continuation of our previous work with simulations of three-dimensional channels with rectangular (mostly square) cross sections in the range of the capillary number 0.05

Original language | English |
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Pages (from-to) | 306-316 |

Number of pages | 11 |

Journal | Chemical Engineering Journal |

Volume | 178 |

DOIs | |

Publication status | Published - 15 Dec 2011 |

## Keywords

- Taylor/Bretherton problem
- Microchannel simulation
- Multiphase flow
- Lattice Boltzmann method
- Binary liquid model
- Flow in microchannels with square cross sections
- Gravity driven
- NUMERICAL-SIMULATION
- LONG BUBBLES
- TAYLOR FLOW
- POLYGONAL CAPILLARIES
- PRESSURE-DROP
- 2-PHASE FLOW
- FLUID
- TUBE
- MOTION
- HYDRODYNAMICS