Single drop breakage in a reciprocating plate column

Zhang, Jiyizhe; Berry, Joseph D.; Mumford, Kathryn A.; Harvie, Dalton J. E.; Fei, Weiyang; Stevens, Geoffrey W.; Wang, Yundong

doi:10.1016/j.cej.2021.129049

Cited by 7 publications

(10 citation statements)

References 37 publications

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“…In order to apply the breakage model (Equation ()) based on our previous single drop study, an estimate of the shear rate

\overset{γ}{true}

in the column is needed. Based on the CFD simulation results in the previous work, 30 the shear rate can be correlated to reciprocating intensity and the plate geometry as the following form, where

d_{h}

is the pitch distance:

\overset{γ}{true} \propto k \frac{Af}{e d_{h}} .

Shear rate is shown to be proportional to

italicAf / ((), e d_{h})

with a slope of

k

=25.855 (

R^{2}

= 0.9971), as shown in the Figure 2. Therefore, once the operational condition and plate geometry is selected, the shear rate in the column can be estimated.…”

Section: Resultsmentioning

confidence: 99%

“…For example, drop breakage in the Kühni column mainly occurs in the vicinity of the impeller or when passing the hole, 44 while for the Rotating Disk Contactor (RDC), the drops were usually breakup by shear stress near the rotor disc 45 . For the Karr column, two types of breakup were observed based on our previous single drop study 30 in Figure 1A, B, similarly, these two mechanisms were also observed in the column (C) and (D). The first type was breakup due to plate wettability, as shown in (A) and (C).…”

Section: Resultsmentioning

confidence: 99%

“…To successfully apply PBM to the Karr column, an accurate drop breakage probability model is needed. In the following discussion, three models were compared: the widely used C&T 35 model, Gourdon 36 model based on single drop study in the pulsed column, and model based on our previous single drop study for the reciprocating plate column 30 …”

Section: Resultsmentioning

confidence: 99%

“…Earlier studies of breakage probability in columns were conducted by Gourdon et al 17,19,36 Single drop experiments were performed in small lab‐scale breakage devices, where the internals remained the same as in real columns. They proposed a correlation for breakage probability with the critical Weber number (or critical drop diameter), which is the maximum Weber number (or drop diameter) that drops will not break up under certain operational conditions.

p ((), d) = \exp ((), - \frac{C_{2}}{{italicWe}_{d}}) .

Recently, based on the experimental and simulation study of the single drop breakage in a reciprocating plate column, 30 we proposed a correlation for the breakage probability as:

\frac{p ((), d)}{1 - p ((), d)} = C_{normalp 1} {(\frac{ρ_{c} {\overset{γ}{true}}^{2} d^{3}}{σ} - {italicWe}_{crit})}^{C_{p 2}},

where

\overset{γ}{true}

is the shear rate calculated by the simulation results.…”

Section: Population Balance Modelmentioning

confidence: 99%

“…So far, only one study 29 has applied PBM to the Karr column by using the existing terms from the literatures, which was far from optimal. Based on our previous single drop study, 30 it is necessary to carry on and apply the single drop model to PBM for the Karr column.…”

Section: Introductionmentioning

confidence: 99%

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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.

show abstract

“…In order to apply the breakage model (Equation ()) based on our previous single drop study, an estimate of the shear rate

\overset{γ}{true}

in the column is needed. Based on the CFD simulation results in the previous work, 30 the shear rate can be correlated to reciprocating intensity and the plate geometry as the following form, where

d_{h}

is the pitch distance:

\overset{γ}{true} \propto k \frac{Af}{e d_{h}} .

Shear rate is shown to be proportional to

italicAf / ((), e d_{h})

with a slope of

k

=25.855 (

R^{2}

= 0.9971), as shown in the Figure 2. Therefore, once the operational condition and plate geometry is selected, the shear rate in the column can be estimated.…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

p ((), d) = \exp ((), - \frac{C_{2}}{{italicWe}_{d}}) .

Recently, based on the experimental and simulation study of the single drop breakage in a reciprocating plate column, 30 we proposed a correlation for the breakage probability as: