One-group interfacial area transport in vertical 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?
Wu et al. [282] consider random collisions among bubbles to occur only among neighboring bubbles while long-range interactions are discarded.
“Random collisions among bubbles are considered to occur only among neighboring bubbles while long-range interactions are discarded.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [282]
Wu et al. [282] consider two distinct mechanisms for bubble coalescence: random collision-induced and wake-entrainment induced.
“Wu et al. [282] consider two distinct mechanisms for bubble coalescence, i.e., the random collision-induced bubble coalescence and the wake-entrainment induced bubble coalescence.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [282]
Cites
White, F. M. (1974) · Cited by 5,753 · see citing works
Leal, L. G. (1979) · International Journal of Multiphase Flow · doi:10.1016/0301-9322(79)90021-1 · Cited by 5,328 · see citing works
Modeling of swirl in turbulent flow systems
Sloan, D. G., Smith, P. J., & SMOOT, L. D. (1986) · Progress in Energy and Combustion Science · doi:10.1016/0360-1285(86)90016-x · Cited by 5,250 · see citing works
One Dimensional Two-Phase Flow
Wallis, G. B. (1969) · CERN Document Server (European Organization for Nuclear Research) · Cited by 4,886 · see citing works
Thermo-fluid dynamic theory of two-phase flow
(1976) · International Journal of Multiphase Flow · doi:10.1016/0301-9322(76)90008-2 · Cited by 1,551 · see citing works
Mathematical Modeling of Two-Phase Flow
Drew, D. A. (1983) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.15.010183.001401 · Cited by 1,472 · see citing works
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 · see citing works
Foundation of the interfacial area transport equation and its closure relations
Kocamustafaogullari, G., & Ishii, M. (1995) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(94)00183-v · Cited by 503 · see citing works
Self-citationInterfacial area and nucleation site density in boiling systems
Kocamustafaogullari, G., & Ishii, M. (1983) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(83)80069-6 · Cited by 426 · see citing works
Self-citationDrop size distributions and coalescence frequencies of liquid‐liquid dispersions in flow vessels
Coulaloglou, C. A., & Tavlarides, L. L. (1976) · AIChE Journal · doi:10.1002/aic.690220211 · Cited by 263 · see citing works
The Splitting of Drops and Bubbles by Turbulent Fluid Flow
Sevik, M. M., & Park, S. H. (1973) · Journal of Fluids Engineering · doi:10.1115/1.3446958 · Cited by 240 · see citing works
Local Drag Laws in Dispersed Two-Phase Flow
USDOE, Ishii, M., USNRC, et al. (1979) · doi:10.2172/5512664 · Cited by 222 · see citing works
Self-citationThe influence of approach velocity on bubble coalescence
Kirkpatrick, R. D., & Lockett, M. J. (1974) · Chemical Engineering Science · doi:10.1016/0009-2509(74)80013-8 · Cited by 220 · see citing works
Development of a k-ε Model for Bubbly Two-Phase Flow
de Bertodano, M. L., Lahey, R. T., & Jones, O. C., Jr. (1994) · Journal of Fluids Engineering · doi:10.1115/1.2910220 · Cited by 210 · see citing works
BUBBLE COALESCENCE IN STAGNANT LIQUIDS
Oolman, T., & Blanch, H. W. (1986) · Chemical Engineering Communications · doi:10.1080/00986448608911334 · Cited by 195 · see citing works
Study of Two-Fluid Model and Interfacial Area
USDOE, Ishii, M., USNRC, et al. (1980) · doi:10.2172/6776430 · Cited by 145 · see citing works
Self-citationBubble interaction in low-viscosity liquids
Stewart, C. W. (1995) · International Journal of Multiphase Flow · doi:10.1016/0301-9322(95)00030-2 · Cited by 121 · see citing works
Coalescence and breakup of bubbles in liquids
Otake, T., Tone, S., Nakao, K., et al. (1977) · Chemical Engineering Science · doi:10.1016/0009-2509(77)85004-5 · Cited by 104 · see citing works
Turbulence suppression in bubbly two-phase flow
Serizawa, A., & Kataoka, I. (1990) · Nuclear Engineering and Design · doi:10.1016/0029-5493(90)90193-2 · Cited by 83 · see citing works
Transition criteria for two-phase flow patterns in vertical upward flow
Bilicki, Z., & Kestin, J. (1987) · International Journal of Multiphase Flow · doi:10.1016/0301-9322(87)90049-8 · Cited by 58 · see citing works
Tsuchiya, K., Miyahara, T., & Fan, L. ‐. (1989) · International Journal of Multiphase Flow · doi:10.1016/0301-9322(89)90084-0 · Cited by 37 · see citing works
Thermo-Fluid Dynamics of Separated Two-Phase Flow.
Kocamustafaogullari, G. (1971) · Defense Technical Information Center (DTIC) · Cited by 36 · see citing works
Statistically derived conservation equations for fluid particle flows
Reyes, J. N. (1989) · Transactions of the American Nuclear Society · Cited by 31 · see citing works
Comments on “Foundation of the interfacial area transport equation and its closure relations”
Shraiber, A. A. (1996) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(95)00192-1 · Cited by 10 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Two-group interfacial area transport equations at bubbly-to-slug flow transition
Hibiki, T., & Ishii, M. (2000) · Nuclear Engineering and Design · doi:10.1016/s0029-5493(00)00286-7 · Cited by 187 · see citing works
Self-citationTheoretical prediction of flow regime transition in bubble columns by the population balance model
Wang, T., Wang, J., & Jin, Y. (2005) · Chemical Engineering Science · doi:10.1016/j.ces.2005.04.027 · Cited by 141 · see citing works
Selma, B., Bannari, R., & Proulx, P. (2010) · Chemical Engineering Science · doi:10.1016/j.ces.2009.11.018 · Cited by 103 · see citing works
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
- Wu, Q., Kim, S., Ishii, M., & Beus, S. G.
- Affiliations
- Purdue University West Lafayette (US)
- Venue
- International Journal of Heat and Mass Transfer
- Publisher
- Elsevier BV
- Published
- 1998-04
- Volume
- 41
- Issue
- 8-9
- Pages
- 1103-1112
- ISSN
- 0017-9310 (ISSN-L)
- OpenAlex
- W2040453920
- Cited by
- 373
- References
- 24
- Citations by year
- 2026: 14 · 2025: 22 · 2024: 17 · 2023: 23 · 2022: 21 · 2021: 14 · 2020: 13 · 2019: 16 · 2018: 21 · 2017: 18 · 2016: 18 · 2015: 14 · 2014: 18 · 2013: 11 · 2012: 10
- FWCI
- 5.51
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Heat and Mass Transfer (publishedVersion)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Physical Sciences › Engineering › Ocean Engineering › Particle Dynamics in Fluid Flows
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Heat Transfer
- Keywords
- interfacial area transport, two-fluid model, interfacial concentration, bubble coalescence, wake entrainment, bubble breakup, turbulent eddies, source and sink terms, one-dimensional transport equation, axial 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
