Computation and validation of the interphase force models for bubbly flow

Wang, Qinggong

doi:10.1016/j.ijheatmasstransfer.2016.03.064

Cited by 67 publications

(39 citation statements)

References 38 publications

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“…The Schiller Naumann model [20] is employed for the drag force coefficient C D . The d b in Equation (6) is the bubble diameter.…”

Section: Eulerian-eulerian Modelmentioning

confidence: 99%

Numerical Study on Flow, Temperature, and Concentration Distribution Features of Combined Gas and Bottom-Electromagnetic Stirring in a Ladle

Deng

et al. 2018

Metals

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Abstract:A novel method of combined argon gas stirring and bottom-rotating electromagnetic stirring in a ladle refining process is presented in this report. A three-dimensional numerical model was adopted to investigate its effect on improving flow field, eliminating temperature stratification, and homogenizing concentration distribution. The results show that the electromagnetic force has a tendency to spiral by spinning clockwise on the horizontal section and straight up along the vertical section, respectively. When the electromagnetic force is applied to the gas-liquid two phase flow, the gas-liquid plume is shifted and the gas-liquid two phase region is extended. The rotated flow driven by the electromagnetic force promotes the scatter of bubbles. The temperature stratification tends to be alleviated due to the effect of heat compensation and the improved flow. The temperature stratification tends to disappear when the current reaches 1200 A. The improved flow field has a positive influence on decreasing concentration stratification and shortening the mixing time when the combined method is imposed. However, the alloy depositing site needs to be optimized according to the whole circulatory flow and the region of bubbles to escape.

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“…The Schiller Naumann model [20] is employed for the drag force coefficient C D . The d b in Equation (6) is the bubble diameter.…”

Section: Eulerian-eulerian Modelmentioning

confidence: 99%

Numerical Study on Flow, Temperature, and Concentration Distribution Features of Combined Gas and Bottom-Electromagnetic Stirring in a Ladle

Deng

et al. 2018

Metals

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“…[10,11] These models can get reasonable results for higher Reynolds flows where bubbles have evolved to the ellipsoidal regime. [12] The lift force significantly affects the bubble distribution pattern across the pipe section in simulations, whereas its existence and sign are still not validated for realistic bubble sizes. [6] Both positive and negative values for the lift coefficient have been used by many authors, [13][14][15][16][17] while some authors thought the coefficient was dependent on the bubble size and the flow conditions.…”

Section: Introductionmentioning

confidence: 99%

“…Clift et al and Ishii and Zuber even formulated the coefficients for different bubble shape regimes . These models can get reasonable results for higher Reynolds flows where bubbles have evolved to the ellipsoidal regime . The lift force significantly affects the bubble distribution pattern across the pipe section in simulations, whereas its existence and sign are still not validated for realistic bubble sizes .…”

Section: Introductionmentioning

confidence: 99%

“…However, different values of wall force coefficient were used by different authors, and there is no widely applicable choice. The turbulence dispersion force accounts for the turbulent fluctuation of liquid velocity and its effect on gas bubbles . It is derived by the ensemble average of the fluctuating component of the drag forces between bubbles and the liquid phase.…”

Section: Introductionmentioning

confidence: 99%

“…The turbulence dispersion force accounts for the turbulent fluctuation of liquid velocity and its effect on gas bubbles. [12] It is derived by the ensemble average of the fluctuating component of the drag forces between bubbles and the liquid phase. The model of Lopez de Bertodano [21] was used by many authors, however, the coefficient was taken at different values between 0.09 and 1.0.…”

Section: Introductionmentioning

confidence: 99%

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CFD‐PBE‐PBE simulation of an airlift loop crystallizer

Cheng

Yang

et al. 2018

Can J Chem Eng

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A complete solver (CFD‐PBE‐PBE) for crystallization processes in an airlift loop crystallizer is developed in OpenFOAM (open‐source field operation and manipulation) in this work. It combines computational fluid dynamics (CFD) with population balance equations (PBE) for both gas bubbles and crystals. Models for gas‐liquid mass transfer and chemical reaction are included as well in the solver. PBE describing bubble coalescence and breakage is solved by the cell average method. Primary nucleation, secondary nucleation, and particle growth are considered in the PBE describing the crystallization process. The solver is validated with the formation of calcium carbonate via the reaction of CO2 with Ca(OH)2 solution in an airlift reactor. Effects of the chemical enhancement factor and crystallization kinetics on predictions are systematically investigated. Variation of predicted pH value, concentration of Ca2+, mean particle size, and crystal size distribution (CSD) with time is in qualitative and semi‐quantitative agreement with the published experimental data, when the appropriate crystallization kinetics are used. Effects of operation parameters such as initial concentration and superficial gas velocity are further numerically examined. The increase in superficial gas velocity results in the increasing consumption rates of OH‐ and Ca2+, while the particle diameter seems unchanged in the present simulation. A higher initial concentration of reactants will lead to a smaller particle diameter and a narrower CSD. The predicted results indicate that the developed solver is feasible, and can be used for the design and scale‐up of airlift loop crystallizers.

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Hydrodynamics and simulation of air–water homogeneous bubble column under elevated pressure

et al. 2019

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A gas–liquid Eulerian computational fluid dynamics (CFD) model coupled with a population balance equation (PBE) was presented to investigate hydrodynamics of an air–water bubble column (1.8 m in height and 0.1 m in inner diameter) under elevated pressure in terms of pressure drop, gas holdup, mean bubble size, and bubble surface area. The CFD‐PBE model was modified with three pressure correction factors to predict both the total gas holdup and the mean bubble size in the homogeneous bubbly flow regime. The three correction factors were optimized compared to experimental data. Increasing the pressure led to increasing the density, reducing the bubble size, and increasing the gas holdup. The bubble size distribution moved toward a smaller bubble size, as the pressure increased. The modified CFD‐PBE model validated with experimental data and empirical models represented well hydrodynamics of the bubble column at P = 0.1, 1.5, and 3.5 MPa.

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Computation and validation of the interphase force models for bubbly flow

Cited by 67 publications

References 38 publications

Numerical Study on Flow, Temperature, and Concentration Distribution Features of Combined Gas and Bottom-Electromagnetic Stirring in a Ladle

Numerical Study on Flow, Temperature, and Concentration Distribution Features of Combined Gas and Bottom-Electromagnetic Stirring in a Ladle

CFD‐PBE‐PBE simulation of an airlift loop crystallizer

Hydrodynamics and simulation of air–water homogeneous bubble column under elevated pressure

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