Numerical studies on dynamic characteristics of oil-water separation in loop flotation column using a population balance model

Cai, Xiaolei; Chen, Jiaqing; Liu, Meili; Ji, Yipeng; An, Shan

doi:10.1016/j.seppur.2016.12.002

Cited by 33 publications

(6 citation statements)

References 28 publications

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“…53 The Luo Breakage model 56 is a breakage frequency model based on the isotropic homogeneous turbulence theory and probability statistics. 57 The breakage rate is written as…”

Section: Numerical Simulationmentioning

confidence: 99%

CFD–PBM Numerical Study on Liquid–Liquid Dispersion in the Q-Type Static Mixer

Meng

Wang

et al. 2021

Ind. Eng. Chem. Res.

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Numerical simulations of silicone oil−water twophase turbulent dispersion mixing in Q-type static mixers (QSM) are performed using computational fluid dynamics (CFD) coupled with a population balance model in the range of Re = 8000− 24 000. The numerical prediction of Sauter mean diameter (d 32 ) in the Kenics static mixer had a good agreement with experimental results. The centerlines of droplet size distributions gradually shift to the left, and the flat profiles with lower peak values become much thinner with higher peak values with increasing axial length. The dimensionless d 32 decreases with increasing element number and Re and stabilizes below 0.03 at the axial length z/l > 10. A correlation among d 32 , We, and residence time is obtained to predict the equilibrium characteristics of droplet groups. The average shear rate in the QSM with right−left staggered segments (RL-90-QSM) is 1.15−2.41 times that with right−right staggered segments, which indicates that RL-90-QSM has excellent droplet breakage performance.

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“…53 The Luo Breakage model 56 is a breakage frequency model based on the isotropic homogeneous turbulence theory and probability statistics. 57 The breakage rate is written as…”

Section: Numerical Simulationmentioning

confidence: 99%

CFD–PBM Numerical Study on Liquid–Liquid Dispersion in the Q-Type Static Mixer

Meng

Wang

et al. 2021

Ind. Eng. Chem. Res.

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“…This results in a polydispersed flow with different bubble sizes in accordance with population balance modeling, as shown in some of the recent works. 62,63 Modeling these phenomena is imperative to determine the catalytic effect of surface reactions of each intermediate. The present study only evaluates the volume-based gas-phase kinetics of hydrocarbons, and hence, the surface area distribution of bubbles becomes irrelevant here.…”

Section: Resultsmentioning

confidence: 99%

Hydrogen Evolution from Hydrocarbon Pyrolysis in a Simulated Liquid Metal Bubble Reactor

et al. 2021

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The evolution of hydrogen from methane decomposition in a liquid metal bubble reactor (LMBR) has become a recent subject of interest; this study examines a novel approach to hydrogen production from pyrolysis of complex hydrocarbon fuels. Modeling hydrocarbon fuel decomposition in an LMBR is executed in two stages of pyrolysis: First, primary pyrolysis intermediates are simulated using a functional-group-based kinetic model (FGMech). Then, a detailed high temperature mechanism (AramcoMech 1.3 + KAUST PAH + 5 solid carbon chemistry) is applied to simulate secondary pyrolysis of intermediates. The quantities of major products of the secondary pyrolysis simulation (CH4, H2, Cs, C6H6) are approximated by simplified regression equations. Further decomposition of smaller hydrocarbons (until exiting the reactor) is simulated using a coupled kinetic and hydrodynamics model that has been reported in the literature. The mixing effects of bubble coalescence and breakup are investigated in a comparative study on homogeneous and non-homogeneous reactors. Finally, a qualitative relationship between H2 yield per mass of fuel, functional group, and other factors such as temperature, pressure, and residence time is analyzed. In general, the H/C ratio and cyclic/aromatic content are the main features influencing total conversion to H2.

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“…To describe the behavior of droplet coalescence and breakup in the reaction tank, a population balance model (PBM) was introduced. Methods of CFD–PBM are effective in particle dynamics simulations and have been widely used . A detailed introduction of the PBM can be found in the work of Liao and Lucas …”

Section: Methodsmentioning

confidence: 99%

“…Therefore, the Luo model is adopted to describe droplet breakup. In addition, in a similar oil–water two‐phase flow system, Cai et al validated the accuracy of the turbulent model and Luo model in describing the coalescence and breakup of droplets in a flotation column. In the section, all of the simulations were carried out at 343 K. The density and viscosity of the FAMEs were set at 847 kg/m 3 and 2.12 mPa·s, respectively.…”

Section: Methodsmentioning

confidence: 99%

“…Methods of CFD-PBM are effective 26-28 in particle dynamics simulations and have been widely used. 29,30 A detailed introduction of the PBM can be found in the work of Liao and Lucas. 31,32 The mathematical expression of the PBM is as follows: The discrete method was chosen to solve the PBM, and the boundary conditions are given by n(V, t = 0), which can be calculated by the DSD correlation obtained in the following section.…”

Section: Numerical Simulation Of Droplet Dynamics In the Reaction Tankmentioning

confidence: 99%

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Modeling of an industrial scale hydrodynamic cavitation multiphase reactor for Prileschajew epoxidation

Cai

Liu

et al. 2020

AIChE Journal

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The hydrodynamic cavitation multiphase reactor (HCMR) is emerging as a promising alternative for the intensification of liquid–liquid heterogeneous reactions, but research on HCMR modeling is lacking. In this article, an HCMR model was developed using Prileschajew epoxidation as the model system. First, based on experimental measurements of oil/water two‐phase flow downstream of hydrodynamic cavitation devices, semiempirical correlations were proposed to describe the droplet size and droplet size distribution (DSD) as functions of flow conditions and geometry parameters. Then, with boundary conditions calculated by the DSD correlation, a droplet dynamics simulation in a reaction tank was performed by computational fluid dynamics coupled with population balance model to obtain the two‐phase interfacial area. Finally, the acquired reactor model was substituted into an overall kinetic model, to simulate the epoxidation reaction in HCMR. Model predictions were verified by experimental results measured on an industrial scale HCMR.

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Numerical studies on dynamic characteristics of oil-water separation in loop flotation column using a population balance model

Cited by 33 publications

References 28 publications

CFD–PBM Numerical Study on Liquid–Liquid Dispersion in the Q-Type Static Mixer

CFD–PBM Numerical Study on Liquid–Liquid Dispersion in the Q-Type Static Mixer

Hydrogen Evolution from Hydrocarbon Pyrolysis in a Simulated Liquid Metal Bubble Reactor

Modeling of an industrial scale hydrodynamic cavitation multiphase reactor for Prileschajew epoxidation

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