2005
DOI: 10.1016/j.nucengdes.2004.09.006
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On the modelling of bubbly flow in vertical pipes

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Cited by 170 publications
(82 citation statements)
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“…The model, however, did not implement a population balance model, but rather, a constant bubble equivalent diameter for each group and the non-drag forces were neglected. More recently, Ziegenhein et al [10] used two velocity groups for the gas phase, following the proposal of Krepper et al [488], which has also been used in several studies [430,435,442,444,446,447,458,465,489]-the two velocity groups for the gas phase are computed by slitting the original distributions at the diameter for which the lift coefficient changes its sign. It is worth mentioning the study of Xu et al [483], which compared the above-mentioned approaches and found that the best performances are given by the "inhomogeneous population balance model".…”
Section: The Eulerian Multi-fluid Approachmentioning
confidence: 99%
“…The model, however, did not implement a population balance model, but rather, a constant bubble equivalent diameter for each group and the non-drag forces were neglected. More recently, Ziegenhein et al [10] used two velocity groups for the gas phase, following the proposal of Krepper et al [488], which has also been used in several studies [430,435,442,444,446,447,458,465,489]-the two velocity groups for the gas phase are computed by slitting the original distributions at the diameter for which the lift coefficient changes its sign. It is worth mentioning the study of Xu et al [483], which compared the above-mentioned approaches and found that the best performances are given by the "inhomogeneous population balance model".…”
Section: The Eulerian Multi-fluid Approachmentioning
confidence: 99%
“…Contrary to this, recent works have developed hybrid models that effectively couple the TFM with either a population balance model (PBM) or an ITM in an attempt to eliminate the dependency on prior knowledge of the flow regime. The commercial CFD code, CFX for example has implemented an inhomogenous multiple size group (MUSIG) model [145][146][147] that has been reported to capture flow regimes consistent with the work of Taitel, et al [8] on vertical co-current flow.…”
Section: Methodsmentioning
confidence: 99%
“…To cater for this, Krepper, et al [147] looked to use more objective criteria when analysing co-current vertical flows by measuring the bubble size distributions and radial gas volume fraction profiles. This was performed in both their experimental setup and CFD simulations.…”
Section: Methodsmentioning
confidence: 99%
“…In (3), the right-hand terms are the pressure gradient force, the drag force, the added mass force, the shear lift force, the wall lift force, and the buoyant force, respectively. The wall lift force is calculated according to Krepper et al [20]. For the spherical bubble, the added mass force coefficient is V = 0.5.…”
Section: Equations For the Bubble Phasementioning
confidence: 99%