Drop size correlation and population balance model for an agitated‐pulsed solvent extraction column

Tan, Boren; Lan, Minle; Li, Longxiang; Wang, Yong; Qi, Tao

doi:10.1002/aic.16279

Cited by 14 publications

(25 citation statements)

References 37 publications

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“…This can be attributed to the fact that under lower agitation speed the d 32 impact on the interfacial area is more extensive than the holdup due to the sharp reduction of the droplet diameter 15. With further increase of agitation speed, there is no noticeable change in droplet diameter and thus the interfacial area declines before increasing.…”

Section: Resultsmentioning

confidence: 99%

“…In the present research, the effects of operational parameters including agitation speed, pulsation intensity, continuous‐ and dispersed‐phase velocities on dispersed‐phase holdup are investigated using a 25‐mm diameter agitated‐pulsed extraction column. The interfacial area is also calculated based on experimental data of the droplet diameter measured in our previous work 15. The calculation method of characteristic velocity is elaborated and evaluated.…”

Section: Introductionmentioning

confidence: 99%

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Dispersed‐Phase Holdup and Characteristic Velocity in an Agitated‐Pulsed Solvent Extraction Column

Tan

Lan

et al. 2021

Chem Eng & Technol

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The agitated‐pulsed column (APC) is expected to exhibit good transfer. The dispersed‐phase holdup and characteristic velocity were measured using a 25‐mm diameter APC. The holdup declined at first and then escalated with the increase of pulsation intensity which was in contrary to the trend of the characteristic velocity change. The pulsation intensity corresponding to minimum holdup was found, and it increased with higher agitation speed. The interfacial area was also calculated. Correlations were developed for the holdup and characteristic velocity prediction within 5.34 % and 9.54 % deviation, respectively. Flooding lines were calculated by the characteristic velocity method and operating regimes were determined by the experimental results.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dispersed‐Phase Holdup and Characteristic Velocity in an Agitated‐Pulsed Solvent Extraction Column

Tan

Lan

et al. 2021

Chem Eng & Technol

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“…To close the equations, a variety of submodels for the breakup frequency (

Ω_{B}

), daughter size distribution function (

β

) and coalescence frequency (

Ω_{C}

) were proposed. Here, the Luo breakup frequency model 29 and the CT coalescence frequency model 30 are adopted as a case for the analysis of the observed experimental data, the

Ω_{B}

is given by Equation () 29 :

Ω_{B} ((), d) = \int_{0}^{0.5} 0.923 {(\frac{ε}{d^{2}})}^{1 / 3} \int_{ξ_{italicmin}}^{1} \frac{{((), 1 + ξ)}^{2}}{ξ^{11 / 3}} italicexp ((), - \frac{12 c_{f} σ}{2.047 ρ_{c} ε^{2 / 3} d^{5 / 3} ξ^{11 / 3}}) italicdξd f_{V}

The

Ω_{C}

is expressed as the form of

Ω_{C} = italichλ

, where the collision frequency ( h ) and the coalescence efficiency (

λ

) are as follows 1,30 :

h ((),, d_{1}, d_{2}) = \frac{0.0334 {(d_{1} + d_{2})}^{2} {(d_{1}^{2 / 3} + d_{2}^{2 / 3})}^{1 / 2} ε^{1 / 3}}{1 + ϕ}

λ ((),, d_{1}, d_{2}) = italicexp ([], -)

…”

Section: Resultsmentioning

confidence: 99%

“…The PBM can be used to regress the experimental DSD directly in an isotropic flow field 1,30 . However, the DSD in PBR@OP has an obvious characteristic of anisotropic.…”

Section: Resultsmentioning

confidence: 99%

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Hydrodynamics and droplet size distribution of liquid–liquid flow in a packed bed reactor with orifice plates

Cai

Wang

et al. 2021

AIChE Journal

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A packed bed reactor with orifice plates (PBR@OP) was designed by adding orifice plates periodically in packed beds. Hydrodynamics and droplet size distribution in PBR@OP were experimentally investigated using fatty acid methyl esters (FAME)/water as the model liquid–liquid system. In PBR@OP, the flow pattern was close to plug flow. Droplets with Sauter mean diameter (d32) of 150–550 μm were generated. The pressure drop of orifice, flow velocity and plate spacing were key parameters to control the droplet size. The reactor performance was evaluated by analyzing a FAME epoxidation process. At the same d32 and residence time, the length and total pressure drop of PBR@OP were about 1/3 and 1/4 of those of PBR without orifice plates, respectively. Furthermore, a semi‐empirical correlation describing the d32 change in PBR@OP was developed, revealing a relative mean deviation of 8.64%. PBR@OP presents a cost‐effective option for the intensification of liquid–liquid medium rate reactions.

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Drop sizes and population balance model for a Karr column

Zhang

Mumford

et al. 2021

AIChE Journal

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Drop sizes were investigated and measured in a Karr column. A stagewise population balance model was presented considering drop breakage and coalescence. The same breakage mechanisms observed in the single drop study were also found in column. The breakage probability model was selected by comparing the model from single drop study and the widely used models. Model parameters were calculated based on a two‐step optimization method. The results showed that the drop sizes decreased with an increase in reciprocating intensity, but changed slightly with phase velocities. The predicted drop sizes were compared to the experimental data in previous studies and good agreement was achieved. Finally, the population balance model along with some existing correlations were compared with the experimental data. It was found that the population balance model and correlations with the low agitation term provided better predictions of drop sizes in the Karr column. Transport Phenomena and Fluid Mechanics: Karr column, drop size distribution, population balance model, parameter optimization.

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Drop size correlation and population balance model for an agitated‐pulsed solvent extraction column

Cited by 14 publications

References 37 publications

Dispersed‐Phase Holdup and Characteristic Velocity in an Agitated‐Pulsed Solvent Extraction Column

Dispersed‐Phase Holdup and Characteristic Velocity in an Agitated‐Pulsed Solvent Extraction Column

Hydrodynamics and droplet size distribution of liquid–liquid flow in a packed bed reactor with orifice plates

Drop sizes and population balance model for a Karr column

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