Simulation of the population balances for liquid–liquid systems in a nonideal stirred tank. Part 2—parameter fitting and the use of the multiblock model for dense dispersions

Alopaeus, Ville; Koskinen, Jukka; Keskinen, Kari I.; Majander, Joakim

doi:10.1016/s0009-2509(02)00067-2

Cited by 186 publications

(152 citation statements)

References 15 publications

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“…(28)) is not very sensitive to changes in the values of the constant C 4 . This constant may vary +/-50%, which agrees to the reported results in the published literature (Alopaeus et al [18,65]). Second, the estimated parameters above were used to simulate a pilot plant RDC column with the total active height of 1.76 m, where its characteristic dimensions are shown in Table 3.…”

Section: Sample Problems Parameter Estimation Using An Rdc Column (Dnsupporting

confidence: 91%

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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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Section: Sample Problems Parameter Estimation Using An Rdc Column (Dnsupporting

confidence: 91%

“…Consequently, it is expected to find a droplet size distribution along the spatial coordinate of the liquid-liquid contacting equipment. The strong simplification when assuming uniform droplet size distribution based on a mean droplet diameter ( 32 facial area required for the calculation of mass and heat fluxes [16][17][18][19][20].…”

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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“…A mixer designed to serve this dual purpose of mixing and pumping is called a pump-mixer (Coplan et al, 1954). Though the pump-mixers are essentially used for producing dispersions of a liquid phase in another immiscible liquid phase, single-phase characteristics are equally important as, with the present status of computing hardware, a practical way of solving population balance in agitated vessels calls for pseudo-single-phase modeling to get the parameters that eventually control drop breakage and coalescence and hence dictate the drop size distributions (Alopaeus et al, 1999;Maggioris et al, 2000;Alexopoulos et al, 2002;Alopaeus et al, 2002). The two important design or performance parameters of a pump-mixer are its power consumption and head generation both of which are affected by several parameters which can be classified either as geometric or process parameters.…”

Section: Introductionmentioning

confidence: 99%

CFD modeling of pilot-scale pump-mixer: Single-phase head and power characteristics

Singh

Mahajani

Shenoy

et al. 2007

Chemical Engineering Science

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The present work involves single-phase computational fluid dynamics (CFD) simulations of continuous flow pump-mixer employing topshrouded Rushton turbines with trapezoidal blades. Baffle-impeller interaction has been modeled using sliding mesh and multiple reference frame approaches. Standard k-model has been used for turbulence modeling. Several CFD runs representing different combinations of geometric and process parameters have been carried out. Results of CFD simulations have been used to find out two macroscopic performance parameters of pump-mixer-power consumption and head generated by the impeller. The simulation results have been compared with the experimental data obtained on a pilot-scale setup. Good agreement between CFD predictions and experimental results is observed. In most cases, sliding mesh approach is found to perform better than multiple reference frame approach. Details from CFD simulations have been used to have an insight into the pumping action of the impeller.

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“…The breakup model by Luo is able to describe the BSD in stirred tanks correctly but, because of its sensitivity to the size of the smallest bubble group, the model must be adjusted using experimental data and its general applicability is thus limited. Therefore, although the breakup model by Luo is the most widely used model and has been adopted by numerous authors, the use of different breakup models with DSD functions that contain the capillary constraint (Lehr et al, 2002) or prefer the equal-sized breakup (Alopaeus et al, 2002;Martínez-Bazán et al, 1999) should be considered. Besides, modifications of the Luo model that restrict the formation of small bubbles have been proposed (Hagesaether et al, 2002;Wang et al, 2003).…”

Section: Bubble Size Distributionmentioning

confidence: 99%

CFD Prediction of Gas-Liquid Flow in an Aerated Stirred Vessel Using the Population Balance Model

Kálal¹,

Jahoda²,

Fořt³

2014

Chemical and Process Engineering

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The main topic of this study is the experimental measurement and mathematical modelling of global gas hold-up and bubble size distribution in an aerated stirred vessel using the population balance method. The air-water system consisted of a mixing tank of diameter T = 0.29 m, which was equipped with a six-bladed Rushton turbine. Calculations were performed with CFD software CFX 14.5. Turbulent quantities were predicted using the standard k-ε turbulence model. Coalescence and breakup of bubbles were modelled using the homogeneous MUSIG method with 24 bubble size groups. To achieve a better prediction of the turbulent quantities, simulations were performed with much finer meshes than those that have been adopted so far for bubble size distribution modelling. Several different drag coefficient correlations were implemented in the solver, and their influence on the results was studied. Turbulent drag correction to reduce the bubble slip velocity proved to be essential to achieve agreement of the simulated gas distribution with experiments. To model the disintegration of bubbles, the widely adopted breakup model by Luo & Svendsen was used. However, its applicability was questioned.

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Simulation of the population balances for liquid–liquid systems in a nonideal stirred tank. Part 2—parameter fitting and the use of the multiblock model for dense dispersions

Cited by 186 publications

References 15 publications

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

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

CFD modeling of pilot-scale pump-mixer: Single-phase head and power characteristics

CFD Prediction of Gas-Liquid Flow in an Aerated Stirred Vessel Using the Population Balance Model

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