### Abstract

Forces acting on spherical bubbles in a subchannel of a rod bundle with triangular rod arrangement (the pitch to diameter ratio is P / D = 1.34) have been studied at low bubble Reynolds numbers O(0.1) - O(1). The bubble motion has been simulated resolving the interface of the bubble by using the lattice Boltzmann method. Steady drag and virtual mass forces have been determined from the simulation results. Based on the simulation data, the relation C_{D} = 16.375 / Re_{T} could be established between the steady drag coefficient C_{D} and the terminal Reynolds number Re_{T} when the diameter ratio λ = d / D of the bubble d and the channel D is less than 0.2. It is found that the virtual mass coefficient can achieve as high value as 7.2, which is a consequence of strong wall effects. Considering interactions between bubbles, cooperation in the axial direction and hindering in the lateral direction could be observed. We demonstrate that the relation between the terminal velocity of a bubble and that of the suspension follows a Richardson-Zaki like correlation, but the exponent is not only a function of the Eotvos and Morton numbers, but it also depends on the particle configuration.

Original language | English |
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Pages (from-to) | 1481-1487 |

Number of pages | 7 |

Journal | International Journal of Heat and Mass Transfer |

Volume | 52 |

Issue number | 5-6 |

DOIs | |

Publication status | Published - Feb 2009 |

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### ASJC Scopus subject areas

- Mechanical Engineering
- Condensed Matter Physics
- Fluid Flow and Transfer Processes

### Cite this

**Drag force acting on bubbles in a subchannel of triangular array of rods.** / Házi, G.; Mayer, Gusztav; Márkus, A.

Research output: Contribution to journal › Article

*International Journal of Heat and Mass Transfer*, vol. 52, no. 5-6, pp. 1481-1487. https://doi.org/10.1016/j.ijheatmasstransfer.2008.09.005

}

TY - JOUR

T1 - Drag force acting on bubbles in a subchannel of triangular array of rods

AU - Házi, G.

AU - Mayer, Gusztav

AU - Márkus, A.

PY - 2009/2

Y1 - 2009/2

N2 - Forces acting on spherical bubbles in a subchannel of a rod bundle with triangular rod arrangement (the pitch to diameter ratio is P / D = 1.34) have been studied at low bubble Reynolds numbers O(0.1) - O(1). The bubble motion has been simulated resolving the interface of the bubble by using the lattice Boltzmann method. Steady drag and virtual mass forces have been determined from the simulation results. Based on the simulation data, the relation CD = 16.375 / ReT could be established between the steady drag coefficient CD and the terminal Reynolds number ReT when the diameter ratio λ = d / D of the bubble d and the channel D is less than 0.2. It is found that the virtual mass coefficient can achieve as high value as 7.2, which is a consequence of strong wall effects. Considering interactions between bubbles, cooperation in the axial direction and hindering in the lateral direction could be observed. We demonstrate that the relation between the terminal velocity of a bubble and that of the suspension follows a Richardson-Zaki like correlation, but the exponent is not only a function of the Eotvos and Morton numbers, but it also depends on the particle configuration.

AB - Forces acting on spherical bubbles in a subchannel of a rod bundle with triangular rod arrangement (the pitch to diameter ratio is P / D = 1.34) have been studied at low bubble Reynolds numbers O(0.1) - O(1). The bubble motion has been simulated resolving the interface of the bubble by using the lattice Boltzmann method. Steady drag and virtual mass forces have been determined from the simulation results. Based on the simulation data, the relation CD = 16.375 / ReT could be established between the steady drag coefficient CD and the terminal Reynolds number ReT when the diameter ratio λ = d / D of the bubble d and the channel D is less than 0.2. It is found that the virtual mass coefficient can achieve as high value as 7.2, which is a consequence of strong wall effects. Considering interactions between bubbles, cooperation in the axial direction and hindering in the lateral direction could be observed. We demonstrate that the relation between the terminal velocity of a bubble and that of the suspension follows a Richardson-Zaki like correlation, but the exponent is not only a function of the Eotvos and Morton numbers, but it also depends on the particle configuration.

UR - http://www.scopus.com/inward/record.url?scp=58149389941&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=58149389941&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatmasstransfer.2008.09.005

DO - 10.1016/j.ijheatmasstransfer.2008.09.005

M3 - Article

AN - SCOPUS:58149389941

VL - 52

SP - 1481

EP - 1487

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 5-6

ER -