Theoretical model for drop and bubble breakup in turbulent dispersions

Luo, He’an; Svendsen, Hallvard F.

doi:10.1002/aic.690420505

Cited by 996 publications

(975 citation statements)

References 27 publications

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“…In other words these models are based on the assumption of equal-sized breakage [2,26,47]. In contrast, some others presume unequal breakup which means a bubble/droplet breaking into a large and a smaller one [2,31,45]. The developed model by [27] is able to combine the features of these significantly different breakage closures.…”

Section: Introductionmentioning

confidence: 99%

“…This model also originates from the pioneering theoretical formulation introduced by [31], that enables us to compare the same theoretical model from the point of view of two different practical interpretations. Additionally, both of the breakage models have the following definition in common…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In pursuit of the mentioned study it is shown that the model presented by [28] is more comprehensive than any other model in the literature. The model in question [28] is based on the practical formulation of the theoretical findings reported by [31] which therefore forms the fundamental basis of many other relevant breakage models.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The developed model by [27] is able to combine the features of these significantly different breakage closures. Their model is based on the theoretical findings of [31]. The breakage kernel is derived from the frequency of arriving eddies onto the surface of a bubble and from the probability that collisions lead to breakage.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Numerical aspects and implementation of population balance equations coupled with turbulent fluid dynamics

Bayraktar

Mierka

Platte

et al. 2011

Computers & Chemical Engineering

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Section: Introductionmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical aspects and implementation of population balance equations coupled with turbulent fluid dynamics

Bayraktar

Mierka

Platte

et al. 2011

Computers & Chemical Engineering

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“…While the coalescence models are usually derived on the basis of the kinetic theory of gases and thus exhibit similar behaviour, various breakup models differ significantly in the predicted breakup frequency or in the shape of the daughter size distribution (DSD) function. The most frequently used breakup model was given by Luo and Svendsen (1996). It has been applied by many authors for modelling of the BSD in stirred tanks (e.g., Ahmed et al, 2010;Kerdouss et al, 2008;Montante et al, 2008;Ranganathan and Sivaraman, 2011;Selma et al, 2010).…”

Section: Introductionmentioning

confidence: 99%

CFD Prediction of Gas-Liquid Flow in an Aerated Stirred Vessel Using the Population Balance Model

Kálal¹,

Jahoda²,

Fořt³

2014

Chemical and Process Engineering

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The main topic of this study is the experimental measurement and mathematical modelling of global gas hold-up and bubble size distribution in an aerated stirred vessel using the population balance method. The air-water system consisted of a mixing tank of diameter T = 0.29 m, which was equipped with a six-bladed Rushton turbine. Calculations were performed with CFD software CFX 14.5. Turbulent quantities were predicted using the standard k-ε turbulence model. Coalescence and breakup of bubbles were modelled using the homogeneous MUSIG method with 24 bubble size groups. To achieve a better prediction of the turbulent quantities, simulations were performed with much finer meshes than those that have been adopted so far for bubble size distribution modelling. Several different drag coefficient correlations were implemented in the solver, and their influence on the results was studied. Turbulent drag correction to reduce the bubble slip velocity proved to be essential to achieve agreement of the simulated gas distribution with experiments. To model the disintegration of bubbles, the widely adopted breakup model by Luo & Svendsen was used. However, its applicability was questioned.

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Evolution of bubble size distribution from gas blowout in shallow water

et al. 2016

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Gas is often emanated from the sea bed during a subsea oil and gas blowout. The size of a gas bubble changes due to gas dissolution in the ambient water and expansion as a result of a decrease in water pressure during the rise. It is important to understand the fate and transport of gas bubbles for the purpose of environmental and safety concerns. In this paper, we used the numerical model, VDROP‐J to simulate gas formation in jet/plume upon release, and dissolution and expansion while bubble rising during a relatively shallow subsea gas blowout. The model predictions were an excellent match to the experimental data. Then a gas dissolution and expansion module was included in the VDROP‐J model to predict the fate and transport of methane bubbles rising due to a blowout through a 0.10 m vertical orifice. The numerical results indicated that gas bubbles would increase the mixing energy in released jets, especially at small distances and large distances from the orifice. This means that models that predict the bubble size distribution (BSD) should account for this additional mixing energy. It was also found that only bubbles of certain sizes would reach the water surfaces; small bubbles dissolve fast in the water column, while the size of the large bubbles decreases. This resulted in a BSD that was bimodal near the orifice, and then became unimodal.

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Theoretical model for drop and bubble breakup in turbulent dispersions

Abstract: A theoretical model for the prediction of drop and bubble &kid-particle)

Cited by 996 publications

References 27 publications

Numerical aspects and implementation of population balance equations coupled with turbulent fluid dynamics

Numerical aspects and implementation of population balance equations coupled with turbulent fluid dynamics

CFD Prediction of Gas-Liquid Flow in an Aerated Stirred Vessel Using the Population Balance Model

Evolution of bubble size distribution from gas blowout in shallow water

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