A combined model of mass transfer coefficients for contaminated drop liquid‐liquid systems

Slater, M.J.

doi:10.1002/cjce.5450730406

Cited by 44 publications

(57 citation statements)

References 25 publications

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“…Slater [18] has formulated a model to take into account decrease of mass transfer rates due to surface effects and defines a correction factor K H,R :…”

Section: Mass Transfer During Droplet Risementioning

confidence: 99%

“…The intensifying effect of droplet internal circulation is taken into account by (1) using the effective diffusion coefficient D eff which is D m multiplied with a constant [12,13], (2) using eddy diffusivity D E [14] or (3) combining eddy and molecular diffusivities into an effective diffusivity D eff [15][16][17]. To take into account the effect of surfactants, Slater [18] applied the stagnant cap model where a droplet is divided into a circulating and stagnant regions. Effect of surfactants on interface mobility is implemented by using a similar experimental parameter k H,R as was used in droplet formation.…”

Section: Introductionmentioning

confidence: 99%

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Modeling Mass Transfer During Single Organic Droplet Formation and Rise

Lahdenperä¹

2017

J Chem Eng Process Technol

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Copper reactive extraction from ambient aqueous solution to organic droplets using single droplet experiments was performed. Extractant was Agorca M5640 hydroxyoxime in Exxsol D80. An image analysis based method was used to determine droplet concentration directly after droplet formation and rise. Mass transfer during formation is correlated using literature. Level Set interface tracking method was used to find formation hydrodynamics and as a result the assumption of non-circular velocity field could be validated. This was also supported by the circulation criteria based on needle Reynolds number. A model to estimate extraction rate as function of droplet Fourier number was based on a literature correlation and it was found that a model where the interface effect was described using interface mobility parameter was able to predict satisfactorily mass transfer. For a rising droplet stagnant cap model was used. Stagnant cap volumes were estimated from droplet images. A CFD model of a non-deforming rising droplet with rigid interface was used to fit interfacial reaction kinetic constant. Fitted value was much lower than experimentally determined by high a shear reactor. Mass transfer coefficients calculated from CFD model and estimated using literature correlations agreed well. By applying a two-film model it was shown that major part of the resistance is located at the interface between the phases.

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“…Slater [18] has formulated a model to take into account decrease of mass transfer rates due to surface effects and defines a correction factor K H,R :…”

Section: Mass Transfer During Droplet Risementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling Mass Transfer During Single Organic Droplet Formation and Rise

Lahdenperä¹

2017

J Chem Eng Process Technol

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“…The current time step is the criterion for changing the input variables for the next time step. The time of change for each input variable can be used -Slater [67,68] -Henschke [37] -User defined- Model Fig. (12).…”

Section: Structured Packing Geometrymentioning

confidence: 99%

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

Jaradat¹,

Attarakih²,

Steinmetz³

et al. 2012

TOCENGJ

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A rigours mathematical model based on the bivariate population balance frame work (the base of LLECMOD ''Liquid-Liquid Extraction Column Module'') for the steady state and dynamic simulation of pulsed liquid-liquid extraction columns is developed. The model simulates the coupled hydrodynamic and mass transfer for pulsed (packed and sieve plate) extraction columns. It is implemented using visual digital FORTRAN and then integrated into the LLECMOD program. Experimental validated correlations are used for the estimation of the droplet terminal velocity in extraction columns based on single and swarm droplet experiments in laboratory scale devices. Additionally, recently published correlations for turbulent energy dissipation, droplet breakage and coalescence frequencies are discussed as being used in this version of LLECMOD. In a case study, LLECMOD is used here to simulate the steady state performance of pulsed extraction columns with two chemical test systems recommended by the European Federation of Chemical Engineering (water-acetone-n-butyl acetate and water-acetone-toluene) and an industrial test system. Model predictions are successfully validated against steady state and transient experimental data, where good agreements are achieved. The simulated results (holdup, mean droplet diameter and mass transfer profiles) compared to the experimental data show that LLECMOD is a powerful simulation tool, which can efficiently predict the dynamic and steady state performance of pulsed extraction columns.

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“…In LLECMOD many available phenomenological and experimentally correlated mass transfer models are included [35][36][37][38][39][40][41]. Accordingly, the resistance in series combination of these individual mass transfer coefficients results in the overall mass transfer coefficient, K oy , which can be used to predict the rate of change of solute concentration in the liquid droplet as expressed in terms of the droplet volume average concentration:…”

Section: Mass Transfer Coefficientsmentioning

confidence: 99%

“…In some cases were no solid theoretical models are available (e.g. reactive extraction or very slow kinetics) the recently developed correlations can also be selected (the Wolschner [38], Bart [41], Korchinski & Young [39], Kroning & Brink [37], Slater [40] or the User defined model).…”

Section: Mass-transfermentioning

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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A combined model of mass transfer coefficients for contaminated drop liquid‐liquid systems

Cited by 44 publications

References 25 publications

Modeling Mass Transfer During Single Organic Droplet Formation and Rise

Modeling Mass Transfer During Single Organic Droplet Formation and Rise

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

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

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