Bubble breakage in pipeline flow

Hesketh, Robert P.; Etchells, Arthur W.; Russell, T. W. F.

doi:10.1016/0009-2509(91)80110-k

Cited by 136 publications

(55 citation statements)

References 16 publications

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“…Unlike the experimental observations of Hesketh, Etchells & Russell (1991), the model proposed by Konno et al (1980Konno et al ( , 1983 predicts that the most probable breakup event is the formation of three particles of similar sizes as shown in figure 3(b).…”

Section: Grant's Modification Of the Martínez-bazán Et Al (1999b) Modelmentioning

confidence: 82%

Considerations on bubble fragmentation models

et al. 2010

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Key words: breakup/coalescence IntroductionThe fragmentation of drops and bubbles in sheared or turbulent flows has a number of important applications in engineering and earth science fields. Bubble fragmentation in whitecaps, for example, plays an important role in the size distribution of bubbles created by breaking waves, which contributes to air-sea gas flux, aerosol production, ocean albedo, wave breaking energetics and the generation of underwater ambient noise (Melville 1996;Deane & Stokes 2002). The general principles controlling † Email address for correspondence: cmbazan@ujaen.es 160 C. Martínez-Bazán and others the breakup of drops and bubbles in turbulent flows have been established since the works of Kolmogorov (1949) and Hinze (1955) in the early 1950s, but an exact mathematical description of this fundamental fluid dynamical process has not yet been formulated.Since the seminal works of Kolmogorov (Kolmogorov 1949) and Hinze (Hinze 1955), a number of models for bubble fragmentation have been presented, including the phenomenological fragmentation model of Martínez-Bazán, Montañes & Lasheras (1999a, b) that describes the breakup frequency, g(D 0 ), and probability density function (p.d.f.) of daughter bubbles, f (D; D 0 ), produced by the fragmentation of air bubbles in homogeneous, isotropic turbulence (see Lasheras et al. 2002, for a recent review of bubble fragmentation models).The implementation of some breakup models in the population balance equation may lead to the impression that they do not conserve volume since some of the equations for the bubble-size p.d.f. published in the literature are expressed in terms of bubble diameter instead of volume. Thus, some of the turbulent breakup models are based on phenomenological hypotheses and, although they have been developed under the original principle of conservation of volume, especially the binary models, for convenience they are expressed in terms of the bubble diameter and do not always respect the volume-conservation condition. This issue has been also pointed out by Zaccone et al. (2007), who developed an empirical approach to determine the breakup mechanisms in stirred dispersions and an appropriate physical model for the daughter-drop p.d.f, and reported that many models, with the exception of Coulaloglou & Tavlarides (1977) and Luo & Svensen (1996), do not always preserve volume. In fact, they emphasized that models that do not conserve volume lead to an unphysical evolution of the predicted volume fraction.In this paper, in § 2, we state a simple relation that any volume-conserving fragmentation p.d.f. must satisfy, irrespective of the underlying fragmentation physics, making it a simple matter to determine if a model is volume conserving or not. In particular, in § 3, we review the models described in Lasheras et al. (2002) and establish whether they satisfy the conservation of volume and symmetry conditions, and show that the binary models are volume conserving when the equations for the p.d.f.s are expressed in terms of volume ra...

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Section: Grant's Modification Of the Martínez-bazán Et Al (1999b) Modelmentioning

confidence: 82%

Considerations on bubble fragmentation models

et al. 2010

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“…19, C n and We crit usually behave to be constants, or of small deviations as pointed out in most papers. 23,24 Therefore, the decreasing b with the increasing F has to be attributed to the dependence of C 1 on F. Since C 1 indicates the efficiency of energy exchange between the gas and liquid, the dependence of C 1 on F-factor can be explained from the gas-liquid contact time. When the superficial gas velocity is raised, the liquid height changes little, as shown in Figure 5, and the contact time decreases accordingly.…”

Section: Froth Porositymentioning

confidence: 97%

The impact of valve tray geometry on the interfacial area of mass transfer

et al. 2008

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in Wiley InterScience (www.interscience.wiley.com).The interfacial area of mass transfer is one of the key parameters in valve tray design, and the valve geometry is the important structural parameter that determines the interfacial area. In this work, the hydrodynamic and mass-transfer characteristics of three different types of valve trays are investigated. The mechanism of bubbles deformation and breakage in the turbulent dispersion system is theoretically analyzed on the basis of Kolmogoroff's isotropic turbulence hypothesis, and a novel model is proposed to predict the interfacial area. The results show that the simulation results agree well with the experimental data. In contrast to most of the conventional models, the present model is capable of evaluating the effects of valve configuration on the interfacial area. The model is expected to guide effectively the design of valve trays which is widely applied nowadays.

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“…Hesketh et al (1991b) combined the natural oscillation mode of a sphere given by Lamb (1932) and a correlation for the maximum stable drop size in a stirred tank developed by themselves, and obtained an empirical drop breakage rate:…”

Section: (5)mentioning

confidence: 99%