The DOI matches its Crossref record; 47 of the 47 references it cites were found in a registry or an index.
Simulation of bubbly flows: Comparison between direct quadrature method of moments (DQMOM) and method of classes (CM)
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In the citing paper
“Selma et al. [312] implemented the CM and the DQMOM in OpenFOAM ® to model the polydisperse two-phase flow of a rectangular bubble column and a stirred tank reactor (STR). The model was validated with the experimental results [158,313] for the case of the bubble column. Numerical results and experiments agree well in terms of time-averaged axial liquid velocity and gas hold-up.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [312]
In the citing paper
“As far as the STR is concerned, numerical results are also in good agreement with the experiments of Alves et al. [314] in terms of local gas hold-up and local bubble diameter.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [312]
In the citing paper
“However, the computational requirement of the CM is significantly higher than the one of the DQMOM, especially when the number of classes increases.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [312]
Citations
Cites
A Drag Coefficient Correlation
Schiller, L. (1933) · Medical Entomology and Zoology · Cited by 1,654
On the collision of drops in turbulent clouds
Saffman, P., & Turner, J. S. (1956) · Journal of Fluid Mechanics · doi:10.1017/s0022112056000020 · Cited by 1,419
Theoretical model for drop and bubble breakup in turbulent dispersions
Luo, H., & Svendsen, H. F. (1996) · AIChE Journal · doi:10.1002/aic.690420505 · Cited by 1,250
Bubble coalescence and break-up in air-sparged bubble columns
Prince, M. J., & Blanch, H. W. (1990) · AIChE Journal · doi:10.1002/aic.690361004 · Cited by 1,238
Description of aerosol dynamics by the quadrature method of moments
McGraw, R. (1997) · Aerosol Science and Technology · doi:10.1080/02786829708965471 · Cited by 1,128
On the solution of population balance equations by discretization—I. A fixed pivot technique
Kumar, S., & Ramkrishna, D. (1996) · Chemical Engineering Science · doi:10.1016/0009-2509(96)88489-2 · Cited by 1,109
On the solution of population balance equations by discretization—II. A moving pivot technique
Kumar, S., & Ramkrishna, D. (1996) · Chemical Engineering Science · doi:10.1016/0009-2509(95)00355-x · Cited by 825
Quadrature method of moments for aggregation-breakage processes
Marchisio, D. L., Vigil, R. D., & Fox, R. O. (2003) · Journal of Colloid and Interface Science · doi:10.1016/s0021-9797(02)00054-1 · Cited by 524
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
One-group interfacial area transport in vertical bubbly flow
Wu, Q., Kim, S., Ishii, M., & Beus, S. G. (1998) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(97)00167-1 · Cited by 373
Numerical simulation of bubble columns flows: effect of different breakup and coalescence closures
Chen, P., Sanyal, J., & Duduković, M. P. (2004) · Chemical Engineering Science · doi:10.1016/j.ces.2004.09.070 · Cited by 296
Application of the direct quadrature method of moments to polydisperse gas–solid fluidized beds
Fan, R., Marchisio, D. L., & Fox, R. O. (2003) · Powder Technology · doi:10.1016/j.powtec.2003.10.005 · Cited by 293
Buwa, V. V., & Ranade, V. V. (2002) · Chemical Engineering Science · doi:10.1016/s0009-2509(02)00274-9 · Cited by 279
Modelling and simulation of the dynamic flow behaviour in a bubble column
Pfleger, D., & Becker, S. (2001) · Chemical Engineering Science · doi:10.1016/s0009-2509(00)00403-6 · Cited by 275
Zhang, D., Deen, N. G., & Kuipers, J. A. M. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2006.08.053 · Cited by 270
CFD simulation of bubble columns incorporating population balance modeling
Bhole, M. R., Joshi, J. B., & Ramkrishna, D. (2008) · Chemical Engineering Science · doi:10.1016/j.ces.2008.01.013 · Cited by 206
A transport equation for the interfacial area density applied to bubble columns
Lehr, F., & Mewes, D. (2001) · Chemical Engineering Science · doi:10.1016/s0009-2509(00)00335-3 · Cited by 200
CFD modeling of gas dispersion and bubble size in a double turbine stirred tank
Kerdouss, F., Bannari, A., & Proulx, P. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2005.11.061 · Cited by 198
Self-citationModelling local bubble size distributions in agitated vessels
Laakkonen, M., Moilanen, P., Alopaeus, V., & Aittamaa, J. R. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2006.10.006 · Cited by 189
A polydisperse model for bubbly two-phase flow around a surface ship
Carrica, P. M., Drew, D. A., Bonetto, F. J., & Lahey, R. T. (1999) · International Journal of Multiphase Flow · doi:10.1016/s0301-9322(98)00047-0 · Cited by 174
Bubble size in aerated stirred tanks
Alves, S. S., Maia, C. I., Vasconcelos, J. M. T., & Serralheiro, A. J. (2002) · Chemical Engineering Journal · doi:10.1016/s1385-8947(02)00008-6 · Cited by 170
Two-phase mass transfer coefficient prediction in stirred vessel with a CFD model
Kerdouss, F., Bannari, A., Proulx, P., Bannari, R., Skrga, M., & Labrecque, Y. (2007) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2007.10.010 · Cited by 165
Self-citationNumerical simulation of the gas–liquid flow in a laboratory scale bubble column
Díaz, M. E., Iranzo, A., Cuadra, D., Barbero, R., Montes, F. J., & Galán, M. A. (2008) · Chemical Engineering Journal · doi:10.1016/j.cej.2007.08.015 · Cited by 162
Eulerian-Lagrangian simulations of unsteady gas-liquid flows in bubble columns
Buwa, V. V., Deo, D. S., & Ranade, V. V. (2006) · International Journal of Multiphase Flow · doi:10.1016/j.ijmultiphaseflow.2006.02.017 · Cited by 160
CFD modeling of bubble columns flows: Implementation of population balance
Chen, P., Sanyal, J., & Dudukovic, M. P. (2004) · Chemical Engineering Science · doi:10.1016/j.ces.2004.07.037 · Cited by 150
On the Comparison between Population Balance Models for CFD Simulation of Bubble Columns
Sanyal, J., Marchisio, D. L., Fox, R. O., & Dhanasekharan, K. M. (2004) · Industrial & Engineering Chemistry Research · doi:10.1021/ie049555j · Cited by 143
A COMPUTATIONAL MODEL FOR THE GAS-LIQUID FLOW IN STIRRED REACTORS
Bakker, A., & Van Der Akker, H. E. A. (1994) · Process Safety and Environmental Protection · Cited by 124
Predicting gas–liquid flow in a mechanically stirred tank
Lane, G., Schwarz, M. P., & Evans, G. M. (2002) · Applied Mathematical Modelling · doi:10.1016/s0307-904x(01)00057-9 · Cited by 116
Bannari, R., Kerdouss, F., Selma, B., Bannari, A., & Proulx, P. (2008) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2008.05.016 · Cited by 109
Self-citationMultiphase Reacting Flows: Modelling and Simulation
Marchisio, D. L., & Fox, R. O. (2007) · Springer eBooks · doi:10.1007/978-3-211-72464-4 · Cited by 97
The Prediction of Two-Phase Turbulence and Phase Distribution Phenomena Using a K-κ Model
Lee, S. L., Lahey, R. T., & Jones, O. C., Jr. (1989) · JAPANESE JOURNAL OF MULTIPHASE FLOW · doi:10.3811/jjmf.3.335 · Cited by 77
Solutions of population balance models based on a successive generations approach
Liou, J.-J., Srienc, F., & Fredrickson, A. G. (1997) · Chemical Engineering Science · doi:10.1016/s0009-2509(96)00510-6 · Cited by 76
Solution of population balance equations by MWR
Singh, P. K., & Ramkrishna, D. (1977) · Computers & Chemical Engineering · doi:10.1016/0098-1354(77)80004-5 · Cited by 64
Experimental and modelling study of gas dispersion in a double turbine stirred tank
Alves, S. S., Maia, C. I., & Vasconcelos, J. M. T. (2002) · Chemical Engineering Science · doi:10.1016/s0009-2509(01)00400-6 · Cited by 62
A wavelet-Galerkin method for solving population balance equations
Chen, M.-Q., Hwang, C., & Shih, Y. (1996) · Computers & Chemical Engineering · doi:10.1016/0098-1354(94)00010-l · Cited by 48
A coalescence redispersion model for drop-size distributions in an agitated vessel
Bajpai, R. K., Ramkrishna, D., & Prokop, A. (1976) · Chemical Engineering Science · doi:10.1016/0009-2509(76)87041-8 · Cited by 43
Solution of population balance equations
Ramkrishna, D. (1971) · Chemical Engineering Science · doi:10.1016/0009-2509(71)80030-1 · Cited by 35
Population balance simulation of gas–liquid contacting
Azizi, F., & Taweel, A. M. A. (2007) · Chemical Engineering Science · doi:10.1016/j.ces.2007.08.083 · Cited by 33
CHARACTERIZATION OF GAS-LIQUID FLOWS IN RECTANGULAR BUBBLE COLUMNS USING CONDUCTIVITY PROBES
Buwa, V. V., & Ranade, V. V. (2005) · Chemical Engineering Communications · doi:10.1080/009864490522704 · Cited by 29
Numerical treatment of the population balance equation using a Spline-Galerkin method
Erasmus, L. D., Eyre, D. J., & Everson, R. C. (1994) · Computers & Chemical Engineering · doi:10.1016/0098-1354(94)e0007-a · Cited by 28
A coalescence and breakup module for implementation in CFD-codes
Hagesæther, L., Jakobsen, H. A., Hjarbo, K., & Svendsen, H. F. (2000) · Computer-aided chemical engineering/Computer aided chemical engineering · doi:10.1016/s1570-7946(00)80063-2 · Cited by 25
Computional Fluid Dynamics of Gas-Liquid Flows including Bubble Population Balances
Bove, S. (2005) · Cited by 18
Xiong, Y., & Pratsinis, S. E. (1991) · Journal of Aerosol Science · doi:10.1016/s0021-8502(05)80069-2 · Cited by 17
Fdhila, R. B., Suzanne, C., Masbernat, L., & Simonin, O. (1993) · Experimental Thermal and Fluid Science · doi:10.1016/0894-1777(93)90257-j · Cited by 15
Mass transfer and dispersed phase mixing in liquid—liquid systems—II
Guimarães, M. M. L., Regueiras, P. F. R., & Cruz-Pinto, J. J. C. (1990) · Computers & Chemical Engineering · doi:10.1016/0098-1354(90)87073-x · Cited by 11
Mass transfer and dispersed phase mixing in liquid—liquid systems—I
Guimarães, M. M. L., & Cruz-Pinto, J. J. C. (1988) · Computers & Chemical Engineering · doi:10.1016/0098-1354(88)87029-7 · Cited by 10
Combustion of a polydispersed solid using a particle population balance
Aldis, D. F., & Gidaspow, D. (1989) · Powder Technology · doi:10.1016/0032-5910(89)80047-6 · Cited by 9
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Metadata
- Authors
- Selma, B., Bannari, R., & Proulx, P.
- Affiliations
- Université de Sherbrooke (CA)
- Corresponding author
- Selma, B.
- Venue
- Chemical Engineering Science
- Publisher
- Elsevier BV
- Published
- 2010-03
- Volume
- 65
- Issue
- 6
- Pages
- 1925-1941
- ISSN
- 0009-2509 (ISSN-L)
- OpenAlex
- W2013875628
- Cited by
- 103
- References
- 47
- Citations by year
- 2026: 3 · 2025: 4 · 2024: 4 · 2023: 2 · 2022: 5 · 2021: 7 · 2020: 7 · 2019: 4 · 2018: 8 · 2017: 11 · 2016: 11 · 2015: 8 · 2014: 9 · 2013: 5 · 2012: 7
- FWCI
- 2.85
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Chemical Engineering Science (publishedVersion)
- Topics
- Physical Sciences › Chemical Engineering › Fluid Flow and Transfer Processes › Fluid Dynamics and Mixing
- Physical Sciences › Chemical Engineering › Filtration and Separation › Minerals Flotation and Separation Techniques
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Heat Transfer
- Keywords
- bubbly flow, direct quadrature method of moments, population balance equation, bubble rupture, bubble coalescence, bubble size distribution, gas-liquid two-phase flow, bubble column, stirred tank reactor, Eulerian-Eulerian multiphase model, lift and drag, virtual mass force, k-epsilon turbulence model, void fraction
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