Using maximum entropy approach for prediction of drop size distribution in a pilot plant multi-impeller extraction contactor

Asadollahzadeh, Mehdi; Torab‐Mostaedi, Meisam; Shahhosseini, Shahrokh; Ghaemi, Ahad

doi:10.1039/c5ra18385e

Cited by 20 publications

(6 citation statements)

References 37 publications

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“…In fact, although the CT kernels were derived for immobile interfaces they are often used to describe nonstabilized dispersions, such as the ones considered in this work. Their use as a reference is also justified by the increased popularity enjoyed, due to the fact that they are easy to be implemented in CFD calculations …”

Section: Introductionmentioning

confidence: 99%

“…Their use as a reference is also justified by the increased popularity enjoyed, due to the fact that they are easy to be implemented in CFD calculations. 46,[48][49][50][51] Once the coalescence and breakage models are defined, another important aspect of the CFD methodology is the efficient solution of the Population Balance Equation (PBE). The PBE can be solved by using different methods and in this work Quadrature-Based Moments Methods (QBMM) are employed.…”

Section: Introductionmentioning

confidence: 99%

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Droplet breakage and coalescence in liquid–liquid dispersions: Comparison of different kernels with EQMOM and QMOM

Gao

Buffo

et al. 2016

AIChE Journal

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Droplet coalescence and breakage in turbulent liquid–liquid dispersions is simulated by using computational fluid dynamics (CFD) and population balance modeling. The multifractal (MF) formalism that takes into account internal intermittency was here used for the first time to describe breakage and coalescence in a surfactant‐free dispersion. The log‐normal Extended Quadrature Method of Moments (EQMOM) was for the first time coupled with a CFD multiphase solver. To assess the accuracy of the model, predictions are compared with experiments and other models (i.e., Coulalogou and Tavlarides kernels and Quadrature Method of Moments [QMOM]). EQMOM and QMOM resulted in similar predictions, but EQMOM provides a continuous reconstruction of the droplet‐size distribution. Transient predictions obtained with the MF kernels result in a better agreement with the experiments. © 2016 American Institute of Chemical Engineers AIChE J, 63: 2293–2311, 2017

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Droplet breakage and coalescence in liquid–liquid dispersions: Comparison of different kernels with EQMOM and QMOM

Gao

Buffo

et al. 2016

AIChE Journal

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“…Similar to the correlation for dispersed-phase holdup developed above, an attempt has been made to correlate Sauter mean drop size in terms of Weber number, physical properties of liquids, and geometrical parameters. The experimental data of the present work, Kadam et al 1 Asadollahzadeh et al, 39 and Hendre et al 24 have been used to develop the correlation for drop size. A nonlinear regression analysis was performed to obtain the coefficient of determination.…”

Section: Development Of Correlation Formentioning

confidence: 98%

Scale-Up Study on the Performance of the Asymmetric Rotating Impeller Extraction Column

Hendre

Hinge

Patwardhan

2021

Ind. Eng. Chem. Res.

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In the present work, hydrodynamics and mass transfer performance of the asymmetric rotating impeller column (ARIC) of different scales, that is, ARIC 1 (I.D. = 0.1 m), ARIC 2 (I.D. = 0.22 m), and ARIC 3 (I.D. = 0.3 m), have been investigated. The liquid−liquid system used in the present study is phosphoric acid containing metal ions and the organo-phosphorous solvent. The effect of different operating conditions on regime transition in ARIC of different scales has been analyzed. Correlations have been developed for the prediction of holdup and drop size in the ARIC of different scales. The average absolute relative error values in the prediction of holdup and drop size using these correlations are 10 and 9%, respectively. An increase in the height of transfer unit is observed with an increase in throughput and column diameter. The results indicate that adequate design and scale-up of extraction columns can be carried out based on geometric similarity.

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“…However, maximum entropy approach is another method which is recently developed in order to evaluate drop size distribution in extraction columns and it is found that maximum entropy method has better predictive ability to predict experimental data (Asadollahzadeh et al, 2017(Asadollahzadeh et al, , 2016(Asadollahzadeh et al, , 2015.…”

Section: Prediction Correlation For Drop Size Distributionmentioning

confidence: 99%

Hydrodynamic performance of a pulsed extraction column containing ZnO nanoparticles: Drop size and size distribution

Amani

Saidur

et al. 2017

Chemical Engineering Research and Design

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Highlights:  Mean drop size and size distribution is determined in a horizontal extraction column in presence of ZnO nanoparticles.  Presence of nanoparticles reduces the interfacial tension and consequently drop sizes.  Density of small droplets considerably increases at the first concentration of adding nanoparticles.  The maximum entropy principle is considered for the determination of the drop size distributions.

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Using maximum entropy approach for prediction of drop size distribution in a pilot plant multi-impeller extraction contactor

Abstract: In this study, the maximum entropy principle is used to predict the drop size distributions in a multi-impeller column extractor.

Cited by 20 publications

References 37 publications

Droplet breakage and coalescence in liquid–liquid dispersions: Comparison of different kernels with EQMOM and QMOM

Droplet breakage and coalescence in liquid–liquid dispersions: Comparison of different kernels with EQMOM and QMOM

Scale-Up Study on the Performance of the Asymmetric Rotating Impeller Extraction Column

Hydrodynamic performance of a pulsed extraction column containing ZnO nanoparticles: Drop size and size distribution

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