Numerical Simulation of Bubbly Flow Using Partially Averaged Navier–Stokes Simulation and a Path Oscillation Model in the Euler–Lagrange Approach
Abstract
Large bubbles always undergo asymmetric paths due to the wake instability, which was rarely considered in the simulation of bubbly flow in complex flow systems such as bubble columns. Here, we propose a bubble path oscillation model considering the zigzag lateral motion caused by the periodic vortex shedding, which is added into the rectilinear bubble motion model in the Lagrange frame. This model is further adopted to simulate the flow of 4 mm bubbles with 680 < Re < 1000 in bubble columns, with the liquid flow predicted by the partially averaged Navier–Stokes model in the Euler frame. A parameter analysis is conducted by comparing the simulation results with the existing experimental data to determine the optimal oscillation amplitude of the path. The effects of oscillation amplitude on the bubble distribution, gas holdup, and flow field are further discussed. Our findings may contribute to the fundamental understanding and accurate simulation of bubbly flow.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Zhou et al. [250] determined the value of the oscillation amplitude of the path that produces the best agreement with experiments by comparing their simulations with the experimental data of Deen et al. [249].
“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.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [250]
Cites
Aspects of Computer Simulation of Liquid-Fueled Combustors
Gosman, A. D., & loannides, E. (1983) · Journal of Energy · doi:10.2514/3.62687 · Cited by 1,387 · see citing works
Transverse migration of single bubbles in simple shear flows
Tomiyama, A., Tamai, H., Zun, I., & Hosokawa, S. (2002) · Chemical Engineering Science · doi:10.1016/s0009-2509(02)00085-4 · Cited by 1,085 · see citing works
The Motion of High-Reynolds-Number Bubbles in Inhomogeneous Flows
Magnaudet, J., & Eames, I. (2000) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.32.1.659 · Cited by 759 · see citing works
Girimaji, S. S. (2005) · Journal of Applied Mechanics · doi:10.1115/1.2151207 · Cited by 535 · see citing works
Dynamics of an initially spherical bubble rising in quiescent liquid
Tripathi, M. K., Sahu, K. C., & Govindarajan, R. (2015) · Nature Communications · doi:10.1038/ncomms7268 · Cited by 493 · see citing works
Terminal velocity of single bubbles in surface tension force dominant regime
Tomiyama, A., Celata, G. P., Hosokawa, S., & Yoshida, S. (2002) · International Journal of Multiphase Flow · doi:10.1016/s0301-9322(02)00032-0 · Cited by 490 · see citing works
The rise velocity and shape of bubbles in pure water at high Reynolds number
Duineveld, P. C. (1995) · Journal of Fluid Mechanics · doi:10.1017/s0022112095001546 · Cited by 383 · see citing works
Path Instability of a Rising Bubble
Mougin, G., & Magnaudet, J. (2001) · Physical Review Letters · doi:10.1103/physrevlett.88.014502 · Cited by 333 · see citing works
On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid-induced velocity
Ellingsen, K., & Risso, F. (2001) · Journal of Fluid Mechanics · doi:10.1017/s0022112001004761 · Cited by 295 · see citing works
Modeling of Vertical Bubble-Driven Flows
Jakobsen, H. A., Sannæs, B. H., Grevskott, S., & Svendsen, H. F. (1997) · Industrial & Engineering Chemistry Research · doi:10.1021/ie970276o · Cited by 262 · see citing works
Cano-Lozano, J. C., Martı́nez-Bazán, C., Magnaudet, J., et al. (2016) · Physical Review Fluids · doi:10.1103/physrevfluids.1.053604 · Cited by 171 · see citing works
Path instability of rising spheroidal air bubbles: A shape-controlled process
Zenit, R., & Magnaudet, J. (2008) · Physics of Fluids · doi:10.1063/1.2940368 · Cited by 147 · see citing works
Darmana, D., Deen, N. G., & Kuipers, J. A. M. (2006) · Journal of Computational Physics · doi:10.1016/j.jcp.2006.05.011 · Cited by 130 · see citing works
The KIVA-II Computer Program for Transient Multidimensional Chemically Reactive Flows with Sprays
Amsden, A. A., Butler, T. D., & O'Rourke, P. J. (1987) · SAE technical papers on CD-ROM/SAE technical paper series · doi:10.4271/872072 · Cited by 108 · see citing works
Jeong, E.-H., & Girimaji, S. S. (2010) · Journal of Fluids Engineering · doi:10.1115/1.4003153 · Cited by 105 · see citing works
Force measurements on rising bubbles
Shew, W. L., Poncet, S., & Pinton, J.-F. (2006) · Journal of Fluid Mechanics · doi:10.1017/s0022112006002928 · Cited by 97 · see citing works
Surfactant effect on path instability of a rising bubble
Tagawa, Y., Takagi, S., & Matsumoto, Y. (2013) · Journal of Fluid Mechanics · doi:10.1017/jfm.2013.571 · Cited by 91 · see citing works
Euler/Lagrange Calculations of Bubbly Flows with Consideration of Bubble Coalescence
Sommerfeld, M., Bourloutski, E., & Bröder, D. (2003) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450810324 · Cited by 73 · see citing works
Eulerian–Lagrangian based large-eddy simulation of a partially aerated flat bubble column
Hu, G., & Celik, I. B. (2007) · Chemical Engineering Science · doi:10.1016/j.ces.2007.09.015 · Cited by 72 · see citing works
Modeling and Measurements of Multiphase Flow and Bubble Entrapment in Steel Continuous Casting
Jin, K., Thomas, B. G., & Ruan, X. (2015) · Metallurgical and Materials Transactions B · doi:10.1007/s11663-015-0525-5 · Cited by 71 · see citing works
What happens to the vortex structures when the rising bubble transits from zigzag to spiral?
Zhang, J., & Ni, M. (2017) · Journal of Fluid Mechanics · doi:10.1017/jfm.2017.514 · Cited by 69 · see citing works
Cano-Lozano, J. C., Bolaños-Jiménez, R., Gutiérrez-Montes, C., & Martı́nez-Bazán, C. (2014) · Applied Mathematical Modelling · doi:10.1016/j.apm.2014.11.034 · Cited by 54 · see citing works
Bubble wake visualization by using photochromic dye
Sanada, T., Shirota, M., & Watanabe, M. (2007) · Chemical Engineering Science · doi:10.1016/j.ces.2007.08.037 · Cited by 49 · see citing works
Zhou, Y., Zhao, C., & Bo, H. (2020) · International Journal of Multiphase Flow · doi:10.1016/j.ijmultiphaseflow.2020.103265 · Cited by 47 · see citing works
Self-citationMass transfer from oscillating bubbles in bubble column reactors
Martı́n, M., Montes, F. J., & Galán, M. Á. (2009) · Chemical Engineering Journal · doi:10.1016/j.cej.2009.01.046 · Cited by 42 · see citing works
Masterov, M. V., Baltussen, M. W., & Kuipers, J. A. M. (2018) · International Journal of Multiphase Flow · doi:10.1016/j.ijmultiphaseflow.2018.06.006 · Cited by 33 · see citing works
CFD simulation of bubbly flows: Random dispersion model
Dhotre, M. T., Smith, B. L., & Ničeno, B. (2007) · Chemical Engineering Science · doi:10.1016/j.ces.2007.08.016 · Cited by 30 · see citing works
Impact of Internals on the Heat-Transfer Coefficient in a Bubble Column
Abdulmohsin, R. S., & Al‐Dahhan, M. H. (2012) · Industrial & Engineering Chemistry Research · doi:10.1021/ie2018096 · Cited by 25 · see citing works
Eulerian–Lagrangian simulation of bubble coalescence in bubbly flow using the spring-dashpot model
Xue, J., Chen, F., Yang, N., & Ge, W. (2016) · Chinese Journal of Chemical Engineering · doi:10.1016/j.cjche.2016.08.006 · Cited by 21 · see citing works
Bubble formation from a submerged orifice in a thin liquid layer: Detachment and bursting
Zhou, Y., Ji, B., Zhao, C., et al. (2021) · Physics of Fluids · doi:10.1063/5.0036330 · Cited by 20 · see citing works
Self-citationCoalescence and Break-Up in Bubble Columns: Euler-Lagrange Simulations Using a Stochastic Approach
Gruber, M. C., Radl, S., & Khinast, J. G. (2013) · Chemie Ingenieur Technik · doi:10.1002/cite.201300024 · Cited by 18 · see citing works
Experimental investigation of single small bubble motion in linear shear flow in water
Li, Z., Zhao, Y., Song, X., et al. (2016) · Nuclear Engineering and Design · doi:10.1016/j.nucengdes.2016.06.011 · Cited by 14 · see citing works
The lateral migration of relative large bubble in simple shear flow in water
Li, Z., Song, X., Jiang, S., et al. (2016) · Experimental Thermal and Fluid Science · doi:10.1016/j.expthermflusci.2016.04.013 · Cited by 13 · see citing works
Effects of gravity level on bubble formation and rise in low-viscosity liquids
Suñol, F., & Cinca, R. G. (2015) · Physical Review E · doi:10.1103/physreve.91.053009 · Cited by 12 · see citing works
Linear Stability Analysis for a Reactive, Multiphase Bubble Column
Smith, J. D., Crunkleton, D. W., & Cremaschi, S. (2015) · Industrial & Engineering Chemistry Research · doi:10.1021/acs.iecr.5b03094 · Cited by 1 · see citing works
Numerical Investigation on Turbulence Models in Bubbly Flow Using Euler-Lagrange Approach
Zhou, Y., Du, J., Zhao, C., et al. (2020) · doi:10.1115/icone2020-16212 · Cited by 1 · see citing works
Self-citation
Flagged first, then by citations
Cited by
Sorted by citations
Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
Luzi, G., & McHardy, C. (2022) · Energies · doi:10.3390/en15113966 · Cited by 44 · see citing works
- Authors
- Zhou, Y., Zhao, C., Ji, B., & Bo, H.
- Affiliations
- Tsinghua University (CN)
- Corresponding author
- Bo, Hanliang
- Venue
- Industrial & Engineering Chemistry Research
- Publisher
- American Chemical Society (ACS)
- Published
- 2021-03-03
- Volume
- 60
- Issue
- 10
- Pages
- 4120-4130
- ISSN
- 0888-5885 (ISSN-L)
- 1520-5045
- OpenAlex
- W3134371508
- Cited by
- 8
- References
- 36
- Citations by year
- 2024: 2 · 2023: 2 · 2022: 3 · 2021: 1
- FWCI
- 0.61
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Industrial & Engineering Chemistry Research (publishedVersion)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Physical Sciences › Engineering › Ocean Engineering › Particle Dynamics in Fluid Flows
- Physical Sciences › Environmental Science › Water Science and Technology › Minerals Flotation and Separation Techniques
- Keywords
- bubbly flow, wake instability, vortex shedding, bubble column, Eulerian-Lagrangian simulation, large bubbles, oscillation amplitude, gas holdup, bubble distribution
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review