Numerical Simulations of Two-Phase Flow in a Self-Aerated Flotation Machine and Kinetics Modeling

Fayed, Hassan E.; Ragab, Saad A.

doi:10.3390/min5020164

Cited by 14 publications

(4 citation statements)

References 16 publications

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“…Furthermore, others use the shear stress transport (SST) k‐ω model in the simulations of flotation machines. [ 21,22 ] The good prediction ability of the SST k‐ω model is also confirmed in an axial flow stirred tank. [ 23 ] In addition, for the bubbly flow in several columns with an inner diameter of about 0.05 m with different bubble Reynolds numbers, both Yamoah et al [ 24 ] and Wang and Yao [ 25 ] adopt the SST k‐ω model.…”

Section: Introductionmentioning

confidence: 83%

CFD‐PBM simulation of the column flotation unit of FCMC: Importance of gas–liquid interphase forces models

Wang

et al. 2023

Can J Chem Eng

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The cyclonic micro‐bubble flotation column (FCMC) is an efficient flotation device for the separation of fine minerals, but its mechanisms are rarely studied using computational fluid dynamics (CFD). This paper reports the air–water two‐phase computational fluid dynamics‐population balance model (CFD‐PBM) simulations for the column flotation unit of an FCMC. The shear stress transport (SST) k‐ω model with curvature correction (CC) is used to simulate turbulence effects. Then, the interphase forces models considering bubble size distribution are selected according to the experimental data in a bubble column, which is in analogy to the column flotation unit of the FCMC. Finally, the optimal combination of interphase forces models (i.e., the Ishii–Zuber drag force model, the Hosokawa–Frank wall lubrication force model, and the Lopez de Bertodano turbulent dispersion force model) is applied to simulate an FCMC with a superficial gas velocity of 0.0144 m/s. The results show that the CFD‐PBM simulation can achieve a relative error of 9.09% for gas volume fraction and −5.45% for bubble rising velocity, indicating the reliability of the selected combination of interphase forces models.

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Section: Introductionmentioning

confidence: 83%

CFD‐PBM simulation of the column flotation unit of FCMC: Importance of gas–liquid interphase forces models

Wang

et al. 2023

Can J Chem Eng

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“…11. Объединим контур регулирования уровня пульпы в агитационном чане с контуром регулирования плотности пульпы, причем локальный контур регулирования плотности будет возмущающим воздействием для локального контура регулирования уровня [9][10][11][12].…”

Section: рис 9 график переходного процесса заполнения чана Fig 9 unclassified

Development of an Automatic Control System for the Flotation Process of Potassium Chloride

Fel’ker¹,

Bakhtereva²

2021

CTAC&R

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The article discusses the creation of an algorithm and the synthesis of a two-loop automatic control system for level and density, instead of the current single-loop one. Aim. Density stabilization and stabilization of the flotation machine power supply by creating a two-circuit automatic level and density control system in order to improve the quality of the final product. Materials and methods. Since there is no net lag in the system, the controller is tuned using the parametric optimization method, namely: according to the criteria of modular (MO) or symmetric optimum (CO). The MO/CO criterion is also used to adjust the contour. All automatic control systems are obtained in the MATLAB Simulink software package. Control quality is measured by metrics such as transient time, overshoot, and system error. The first two indicators show the dynamics of the process, and the last indicator shows the accuracy of the system. Conclusion. The finished two-loop automatic control system, developed in the software package MATLAB Simulink, according to the analysis of the obtained process parameters, provides stabilization of the density and level in the agitation tank for flotation.

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“…Self-induced flotation cell research on air suction, flow pattern Fayed and Ragab [31] Particle-air bubbles collision, adherin, detachment research predict the metallurgical performance Koh and Schwarz [7,[32][33][34][35] Recovery simulation would be compared with experiment Koh and Schwarz [14] CFD model verification using experimental data Shi et al [13] Optimized of flotation cell of structure Zhou et al [36] where R max (R ∞ ): the theoretical maximum recovery achievable, considering the equipment effciency and mineral liberation; t: time; k: flotation constant; R c : the recovery from the collection zone; R f : the recovery from froth zone; E(t): the residence time distribution; f(k): the flotation rate distribution; N p is the number of free particles in the pulp phase; u: velocity vector; ρ: density; t: time; p: pressure; g: gravity vector; α: phase volume fraction; µ: dynamic viscosity; F: inter-phase force; F d : the drag force; F A : the virtual mass force; F L : the lift force; F T : the turbulence dispersion force; F other : the other force; f : body force; Si: source term. The subscript: i: represents for each phase; l: liquid; g: gas; d: drag; p: pressure gradient; G: gravity.…”

Section: Cfd Simulationmentioning

confidence: 99%

Hydrodynamic and Flotation Kinetic Analysis of a Large Scale Mechanical Agitated Flotation Cell with the Typical Impeller and the Arc Impeller

et al. 2019

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The processing of low grade mineral ores using large scale flotation cells is obviously more advantageous than smaller-scale processing. Large-scale flotation cells have become increasingly important for effective volume scale-up. In this study, the latest and largest flotation cell in China, with an effective volume of 680 m3, is considered. Hydrodynamics and flotation kinetics analyses are conducted using computational fluid dynamics (CFD) simulation. It is demonstrated that the flotation cell with a typical impeller produces suitable hydrodynamics for mineral particles based on analysis of the flow pattern, gas dispersion and solid suspension. The performance of the large-scale flotation cell is studied using hydrodynamic performance parameters. The variation of the performance parameters, such as the power number (Np), the Froude number (Fr), the air flow number (Na), and so on, with the flotation cell volumes, followed trends similar to that of previous cells of a different size, which were proven to be effective for engineering applications. To decrease the detachment of mineral particles, a new type of impeller, for which the impeller plate is a hyperbolic curve, viz. an arc impeller, was developed. Compared with the typical impeller, the arc impeller expands and lifts the low circulating flow, thereby shortening the transportation distance of the mineral particles. The data indicates that kinetic eddy dissipation plays a key role in determining the collision kernel and collision probability profile. The newly designed arc impeller leads to a higher collision probability than the typical impeller, resulting in better flotation performance. This research should aid in the optimization of the structure of the 680 m3 flotation cell.

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Numerical Simulations of Two-Phase Flow in a Self-Aerated Flotation Machine and Kinetics Modeling

Cited by 14 publications

References 16 publications

CFD‐PBM simulation of the column flotation unit of FCMC: Importance of gas–liquid interphase forces models

CFD‐PBM simulation of the column flotation unit of FCMC: Importance of gas–liquid interphase forces models

Development of an Automatic Control System for the Flotation Process of Potassium Chloride

Hydrodynamic and Flotation Kinetic Analysis of a Large Scale Mechanical Agitated Flotation Cell with the Typical Impeller and the Arc Impeller

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