Numerical Simulation of Bubbly Flow Using Partially Averaged Navier–Stokes Simulation and a Path Oscillation Model in the Euler–Lagrange Approach

Zhou, Yujia; Zhao, Chen; Ji, Bingqiang; Bo, Hanliang

doi:10.1021/acs.iecr.0c05470

Cited by 8 publications

(3 citation statements)

References 36 publications

(87 reference statements)

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“…Bubble formation is widely present in nature and many industrial processes. 1 These include natural gas released from hydrocarbon seeps in deep sea, 2 froth floatation in mineral processing, 3 bubble column formation in chemical reactor vessels, 4 drug delivery in biological engineering, 5 and boiling during steam generation in power plants. 6 In many scenarios, bubbles are generated from orifices where it is of significant interest as a fundamental topic in multiphase flows.…”

Section: ■ Introductionmentioning

confidence: 99%

Asymmetric Bubble Formation at Rectangular Orifices

Zhou

Yan

et al. 2021

Langmuir

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Bubble formation in liquids is frequently observed in nature and applied in various industrial processes. These include pool and flow boiling for thermal management systems, where bubbles may form asymmetrically at narrow slits and in convective flows. While previous studies have focused on symmetric bubble formation at circular orifices, the dynamics of asymmetric bubble formation remains poorly understood. Here, we experimentally investigate bubble formation at rectangular orifices and examine the effects of the orifice size and aspect ratio and the gas flow rate on the bubble size. The asymmetric bubble shape evolution at the rectangular orifice is analyzed, and we find that the size of the bubble neck is controlled either by the orifice size or by the capillary length. Based on these findings, we develop a static force balance model to predict the bubble size in the quasi-static regime, where the roles of Bond number and aspect ratio are identified. The bubble size evolution in the dynamic regime is further understood by introducing a Weber number that evaluates the effect of the virtual mass force induced by gas flow. Our study provides physical understanding of the dynamics of asymmetric bubble formation and guidance to predict the bubble size at asymmetric orifices.

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Section: ■ Introductionmentioning

confidence: 99%

Asymmetric Bubble Formation at Rectangular Orifices

Zhou

Yan

et al. 2021

Langmuir

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“…For rigid spheres or bubbles with surface properties close to that of rigid spheres, Kim [ 49 ] and Tagawa et al [ 51 ] adopted p = 0.300. For slightly deformed bubbles (equivalent diameter 4 mm), Suñol and González‐Cinca [ 52 ] and Zhou et al [ 53 ] used p = 0.265 ± 0.003. In this study, for the calculation of the 2.34 mm bubble, p = 0.265 was adopted during the stable zigzag stage at an average rising velocity of the bubble V = 0.325 m s −1 .…”

Section: Resultsmentioning

confidence: 99%

Advancements in the Understanding of Single‐Bubble Dynamics: Integrated Experimental and Simulation Studies

Zhao,

Luo,

Zou

2024

steel research int.

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Because of wake instability, bubbles always ascend along an unstable path, which is not considered when simulating their movement in steel refining and continuous casting systems. Utilizing the 3D shadow image method, a quantitative characterization of the bubble trajectories is conducted to establish a bubble path oscillation model considering the zigzag lateral movement of bubbles due to asymmetric wake shedding. This model is incorporated into a rectilinear bubble motion model within the Lagrangian framework and then used to simulate the free ascent of single bubbles within the 2.15–2.55 mm range. The predicted bubble ascent velocities and trajectories agree well with the experimental. The spatial position, velocity, acceleration, forces, volume swept by bubbles, and bubble residence time are discussed. The results shown that the dominant force in the horizontal direction is the lateral force, followed by the drag and virtual mass force. Compared to the rectilinear path model, the volume swept by bubbles with initial diameters of 2.15, 2.25, 2.34, 2.45, and 2.55 mm in this model increases by 30.8%, 32.0%, 34.0%, 31.5%, and 29.6%, respectively. These findings help accurately predict the path of bubbles and also may contribute to a better understanding of bubble dynamics in bubble metallurgy and clean steel production.

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“…Zhou et al [250] evaluated the local dynamic of a bubble in a bubble swarm using a novel path oscillation model combined with the partially-averaged Navier-Stokes (PANS) equation for the continuous phase. By comparing the results of their simulations with the experimental data of Deen et al [249], the authors could determine the value of the oscillation amplitude of the path that produces the best agreement with experiments.…”

Section: Euler-lagrange Modeling Of Gas-liquid Flowsmentioning

confidence: 99%

Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review

Luzi¹,

McHardy

2022

Energies

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Computational Fluid Dynamics (CFD) have been frequently applied to model the growth conditions in photobioreactors, which are affected in a complex way by multiple, interacting physical processes. We review common photobioreactor types and discuss the processes occurring therein as well as how these processes have been considered in previous CFD models. The analysis reveals that CFD models of photobioreactors do often not consider state-of-the-art modeling approaches. As a comprehensive photobioreactor model consists of several sub-models, we review the most relevant models for the simulation of fluid flows, light propagation, heat and mass transfer and growth kinetics as well as state-of-the-art models for turbulence and interphase forces, revealing their strength and deficiencies. In addition, we review the population balance equation, breakage and coalescence models and discretization methods since the predicted bubble size distribution critically depends on them. This comprehensive overview of the available models provides a unique toolbox for generating CFD models of photobioreactors. Directions future research should take are also discussed, mainly consisting of an extensive experimental validation of the single models for specific photobioreactor geometries, as well as more complete and sophisticated integrated models by virtue of the constant increase of the computational capacity.

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Numerical Simulation of Bubbly Flow Using Partially Averaged Navier–Stokes Simulation and a Path Oscillation Model in the Euler–Lagrange Approach

Cited by 8 publications

References 36 publications

Asymmetric Bubble Formation at Rectangular Orifices

Asymmetric Bubble Formation at Rectangular Orifices

Advancements in the Understanding of Single‐Bubble Dynamics: Integrated Experimental and Simulation Studies

Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review

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