Mean drop size correlations and population balance models for liquid—liquid dispersion

Abidin, Mohd Izzudin Izzat Zainal; Raman, Abdul Aziz Abdul; Nor, Mohamad Iskandr Mohamad

doi:10.1002/aic.14751

Cited by 24 publications

(12 citation statements)

References 80 publications

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“…In dilute emulsions with added surfactant, coalescence is negligible, and emulsification is driven by drop breakage. Breakage kernels comprise breakage frequency and daughter size distribution models, as reviewed by Liao and Lucas [8], Abidin et al [9], and Solsvik et al [10]. Turbulent breakage frequency models are broadly based on the homogenous isotropic turbulence (HIT) assumption for drop sizes in the inertial subrange.…”

Section: Background and Motivationmentioning

confidence: 99%

“…A general form of a breakage frequency model includes two terms: an inverse time scale of the breakage event (t br ) and a breakage probability (P br ) conditioned on a turbulence quantity and assumptions about the eddy-drop interaction. Several quantities, such as the turbulent kinetic energy, turbulent inertial forces, turbulent velocity fluctuation, etc., have been proposed in the literature [8][9][10] as breakage criteria. These various approaches are not independent of each other as they use Kolmogorov's second similarity hypothesis [18] to obtain (via the second-order longitudinal structure function) a measure of the turbulence quantity.…”

Section: Current Modeling Approachesmentioning

confidence: 99%

“…The majority of breakage frequency models follow the CT approach, setting t br / r u ð Þ À1 in the inertial subrange [8][9][10]; these models may be viewed as specific realizations of a more general structure function approach:…”

Section: Interpreting Breakup and Turbulencementioning

confidence: 99%

See 2 more Smart Citations

Simulation of Turbulent Emulsification in a Sonolator Mixer: Interpretation of Drop Breakage Time

et al. 2019

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The simulation of dilute emulsions in a model ACIP2 Sonolator is investigated using computational fluid dynamics and population balance methods. Two breakage frequency models are used that differ in the expression of the drop breakage time. Drop breakage modeling based on homogenous isotropic turbulence (HIT) shows poor agreement of the Sauter mean diameter when compared to the experiments; simulations with the empirical model from Alopaeus et al. yield better agreement. By perturbing the classical HIT spectrum, it is shown that the breakage time in the empirical model corresponds to a non-isotropic energy spectrum. Such spectra have been observed in the non-isotropic near field in a model A Sonolator, which provides a plausible explanation of why the empirical model performs better than the HIT-based model.

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Section: Background and Motivationmentioning

confidence: 99%

Section: Current Modeling Approachesmentioning

confidence: 99%

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Simulation of Turbulent Emulsification in a Sonolator Mixer: Interpretation of Drop Breakage Time

et al. 2019

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“…Therefore, models for particle size distribution in any two‐phase flow require a priori prediction of a breakup criterion . Population balance models (PBMs) are the most common approach to simulate generation of dispersions . These models allow detailed description of the dispersion rate processes that involve breakage and coalescence of particles with a wide range of sizes.…”

Section: Introductionmentioning

confidence: 99%

Theoretical model for multiple breakup of fluid particles in turbulent flow field

Razzaghi

2016

AIChE Journal

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Generalized phenomenological model, based on the theories of probability and isotropic turbulence, is developed for multiple breakup of fluid particles in turbulent flow field. The approach uses a series of successive binary breakup events occur at a time scale comparable to the colliding eddy turnover time. It was found that the use of energy density, instead of energy, will increase the predicted binary breakup rate which is usually underestimated by the existing models in the literature. Generalization of the binary breakup model for multiple fragmentations is performed by defining a “remaining energy function” for the colliding eddy which means the contribution of original eddy to the later breakup events. For ternary breakage, the model shows a reasonably good agreement with the experimental data. The quaternary fragmentation frequency, however, is of negligible importance at lower energy dissipation rates but its contribution to breakage fraction at higher energy dissipation rates becomes considerable. The results also show that ternary and quaternary breakups have a considerable 90% contribution to the overall fragmentation, while pentenary and further fragmentations are of lower importance at low energy dissipation rates. At higher levels of energy dissipation rate, fragmentations up to six daughter particles contribute to more than 95% of the overall fragmentations. © 2016 American Institute of Chemical Engineers AIChE J, 62: 4508–4525, 2016

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“…The breakage processes of fluid particles usually determine the size distribution of dispersed phase and interfacial area, and thus play a crucial role in mass transfer, heat transfer, and the design of chemical equipments. In past decades, many mathematical models for fluid particle breakage were proposed, please see the excellent reviews given by Lasheras et al, Jakobson, Liao and Lucas, Marchetti and Svendsen, Solsvik et al, and Zainal Abidin et al…”

Section: Introductionmentioning

confidence: 99%

Consideration of low viscous droplet breakage in the framework of the wide energy spectrum and the multiple fragments

et al. 2015

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An improved model for low viscous droplet breakage has been developed. Unlike the previous work that considered the inertia subrange and adopted the assumption of binary breakage, this work considered the breakage of droplets in the framework of the multiple fragments and the wide energy spectrum (i.e., including the dissipation range, the inertia subrange, and the energy containing range simultaneously). The previous interactions between the droplet and the surrounding fluids have been considered through introducing the interaction forces. The effect of the surface deformation and oscillation resulting from these interactions on the constraints of multiple breakages has been accounted for. These factors have been neglected in the existing models. The wide energy spectrum distribution was found to have an important effect on the nonmonotone evolution of breakage frequency with increasing parent droplet size. The cumulative volume fractions predicted by this work showed a better agreement with the experimental data. © 2015 American Institute of Chemical Engineers AIChE J, 61: 2147–2168, 2015

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Mean drop size correlations and population balance models for liquid—liquid dispersion

Cited by 24 publications

References 80 publications

Simulation of Turbulent Emulsification in a Sonolator Mixer: Interpretation of Drop Breakage Time

Simulation of Turbulent Emulsification in a Sonolator Mixer: Interpretation of Drop Breakage Time

Theoretical model for multiple breakup of fluid particles in turbulent flow field

Consideration of low viscous droplet breakage in the framework of the wide energy spectrum and the multiple fragments

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