Augmented CFD–PBM Simulation of Liquid–Liquid Two-Phase Flows in Liquid Extraction Columns with Wettable Internal Plates

Abstract

In this study, augmented computational fluid dynamic–population balance model (CFD–PBM) simulations were carried out to predict hydrodynamics in pulsed disc and doughnut columns (PDDC) with wettable internal plates. The droplet breakage and droplet–liquid layer interaction submodels were integrated to construct an augmented PBM, which was embedded in the CFD to calculate droplet-size distributions (DSD). It was found that the augmented PBM-predicted DSDs are better than the PBM with only the breakage submodel. The influences arising from the wettability of internal plates should be carefully considered. In a pilot-scale PDDC with wettable internal plates, the augmented CFD–PBM simulation results indicated that the shape of DSDs changed little with an increase in the throughput from 80 to 200 L/(dm2·h), but was significantly influenced by the pulsation intensity as it increased from 0.0065 to 0.0125 m/s.

Three-Dimensional Model on Liquid–Liquid Mass Transfer of the Kenics Static Mixer: Considering Dynamic Droplet Size Distribution

“…The turbulent eddy viscosity (μ t,aq and μ t,org ) was calculated by combining k and ω, as presented in eqs 18…”

“…However, the spatial and temporal variation of dispersed-phase droplet size distribution, which is caused by droplet breakage and coalescence, is not considered by the above models. , The combined model of computational fluid dynamics and the population balance equation (CFD-PBE) is able to quantify this variation well. − However, the liquid–liquid mass transfer model considering the dynamic droplet size distribution by coupling the CFD-PBE model is only available in a small number of publications. It was initially studied by a German research team under the direction of Hans–Jorg Bart.…”

Investigation of the Role of Impeller Structural Parameters on Liquid–Liquid Mixing Characteristics in Stirred Tanks

“…As discussed by Coulaloglou and Tavlarides, the roles of breakage/coalescence frequency parameters were more prominent, and therefore, the breakage frequency parameter and coalescence frequency parameter were calibrated in turn according to the reported experimental data. The model calibrations were performed to minimize the objective function, which is defined as (20) where d mod,i and d exp,i are the model and experimental predictions, respectively. The calibration values of the breakage and coalescence frequency were 1.2 and 0.0008, respectively.…”

“…As a supplementary approach, recently, computational fluid dynamics (CFD) coupled with population balance models (PBMs) has been widely used to characterize the liquid–liquid dispersion behavior. − Several effective methods, such as the discrete method, quadrature method of moments (QMOM), and DQMOM, have been proposed to solve PBM. The discrete method directly computes the particle size distribution since the population is discretized into small size intervals.…”

CFD-PBM Simulation of Sauter Mean Diameter in a Stirred Sieve-Plate Extraction Column

“…Sarkar et al 28 performed CFD-PBM simulations for a pulsed disc and doughnut column to investigate the influences of operating conditions and material properties on holdup and d 32 . Yu et al 29 developed an augmented PBM that considered five kernel functions combined with CFD to calculate the DSD in a pulsed disc and doughnut column. Tan et al 30 refitted the parameters for kernel functions with simplified PBM based on the experimental results and implemented it in CFD.…”