Modeling of Liquid-Liquid Extraction Column: A Review

Mohanty, Swati

doi:10.1515/revce.2000.16.3.199

Cited by 83 publications

(42 citation statements)

References 82 publications

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“…The resulting di erential model takes into account the droplet transport; breakage and coalescence as well as the necessary boundary conditions, though the latter are not clearly stated in the published literature. For a comprehensive review of mathematical modeling of liquid-liquid extraction columns, their advantages and disadvantages, the interested reader could refer to Mohanty (2000).…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of the spatially distributed population balance equation describing the hydrodynamics of interacting liquid–liquid dispersions

Attarakih

Bart

Faqir

2004

Chemical Engineering Science

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Section: Introductionmentioning

confidence: 99%

Numerical solution of the spatially distributed population balance equation describing the hydrodynamics of interacting liquid–liquid dispersions

Attarakih

Bart

Faqir

2004

Chemical Engineering Science

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“…Some processes involve both weak and strong flow regions that are physically separated with drop growth by coalescence occurring in the weak-flow region and breakup occurring in the strong-flow region. For example, in liquid-liquid extraction two fluid phases are emulsified together in a strong flow to enhance mass transport, and then subjected to a gentle flow that promotes drop coalescence and thus phase separation [Mohanty, 2000]. Centrifugal contactors have a high-shear "mixing zone" in the gap formed between the rotor and the housing where drop breakup dominates and a "separation zone" inside of the rotor where rigid-body rotation drives buoyancy-driven drop coalescence [Leonard, 1988;Wardle et al, 2006].…”

Section: Introductionmentioning

confidence: 99%

Multiscale models of nuclear waste reprocessing : from the mesoscale to the plant-scale.

Rao¹,

Brotherton²,

Domino³

et al. 2012

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Nuclear waste reprocessing and nonproliferation models are needed to support the renaissance in nuclear energy. This report summarizes an LDRD project to develop predictive capabilities to aid the next-generation nuclear fuel reprocessing, in SIERRA Mechanics, Sandia's high performance computing multiphysics code suite and Cantera, an open source software product for thermodynamics and kinetic modeling.Much of the focus of the project has been to develop a moving conformal decomposition finite element method (CDFEM) method applicable to mass transport at the water/oil droplet interface that occurs in the turbulent emulsion of droplets within the contactor. Contactor-scale models were developed using SIERRA Mechanics turbulence modeling capability. Unit operations occur at the column-scale where many contactors are connected in series. Population balance models 4 were developed to investigate placements and coupling of contactors at this scale. Thermodynamics models of the separation were developed in Cantera to allow for the prediction of distribution coefficients for various concentrations of surfactant and acid. Droplet-scale modeling was conducted in a microfluidic device and for verification of the algorithm. Extensive validation and discovery experiments were performed at the droplet and contactor-scales for both fluid dynamics and mass transport. 5 AcknowledgmentsThe authors would like to thank our mission specialist Veena Tikare for helping us develop the project, our reprocessing material balance expert Ben Cipiti for explaining the details of the reprocessing plant., Roger Pawlowski and Rich Schiek helped with the idea of a scalable network model, but were unable to continue with the project, though were very helpful in the first year of the work. We believe this type of work should be continued at Sandia. Paul Galambos and John Pflug supported our microfluidic experiments. Reviewers Randy Schunk and Lisa Mondy provided helpful feedback. Randy Schunk also helped with our droplet-scale modeling in a moving reference frame. The Aria Product Owners past and present, Amalia Black, Sheldon Tieszen, and Kim Mish, have been invaluable for keeping the project going despite the many other directions of Sierra Mechanics. We would like to thank the "Enabling Predictive Simulations" investment area of the LDRD program for funding this work. We would like to express our gratitude to the LDRD office for the extension given for receiving the final report due to the illness of the PI.6

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“…The resulting differential model takes into account the droplet transport; breakage and coalescence as well as the necessary boundary conditions, though the latter are not clearly stated in the published literature. For a comprehensive review of mathematical modelling of liquidliquid extraction columns, their advantages and disadvantages, the interested reader could refer to Mohanty [25].…”

Section: Introductionmentioning

confidence: 99%

LLECMOD: A Bivariate Population Balance Simulation Tool for Liquid- Liquid Extraction Columns

Attarakih¹,

Bart²,

Steinmetz³

et al. 2008

TOCENGJ

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Abstract:The population balance equation finds many applications in modelling poly-dispersed systems arising in many engineering applications such as aerosols dynamics, crystallization, precipitation, granulation, liquid-liquid, gas-liquid, combustion processes and microbial systems. The population balance lays down a modern approach for modelling the complex discrete behaviour of such systems. Due to the industrial importance of liquid-liquid extraction columns for the separation of many chemicals that are not amenable for separation by distillation, a Windows based program called LLECMOD is developed. Due to the multivariate nature of the population of droplets in liquid -liquid extraction columns (with respect to size and solute concentration), a spatially distributed population balance equation is developed. The basis of LLECMOD depends on modern numerical algorithms that couples the computational fluid dynamics and population balances. To avoid the solution of the momentum balance equations (for the continuous and discrete phases), experimental correlations are used for the estimation of the turbulent energy dissipation and the slip velocities of the moving droplets along with interaction frequencies of breakage and coalescence. The design of LLECMOD is flexible in such a way that allows the user to define droplet terminal velocity, energy dissipation, axial dispersion, breakage and coalescence frequencies and the other internal geometrical details of the column. The user input dialog makes the LLECMOD a user-friendly program that enables the user to select the simulation parameters and functions easily. The program is reinforced by a parameter estimation package for the droplet coalescence models. The scale-up and simulation of agitated extraction columns based on the populations balanced model leads to the main application of the simulation tool.

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Modeling of Liquid-Liquid Extraction Column: A Review

Cited by 83 publications

References 82 publications

Numerical solution of the spatially distributed population balance equation describing the hydrodynamics of interacting liquid–liquid dispersions

Numerical solution of the spatially distributed population balance equation describing the hydrodynamics of interacting liquid–liquid dispersions

Multiscale models of nuclear waste reprocessing : from the mesoscale to the plant-scale.

LLECMOD: A Bivariate Population Balance Simulation Tool for Liquid- Liquid Extraction Columns

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