Modeling method for combining fluid dynamics and algal growth in a bubble column photobioreactor
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?
The purpose of the listed models covers a variety of applications, including mechanistic understanding, investigations on flashing-light effect, design optimization, and optimization of operating conditions.
“The purpose of the listed models covers a variety of applications, including the mechanistic understanding of photobioreactors [17-21], investigations on the flashing-light effect [22-31], photobioreactor design optimization [21,22,29,32-42] and optimization of operating conditions [26,34-36,43-45].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [25]
The majority of gas-liquid flows in photobioreactor CFD models are modeled in the Eulerian-Eulerian formulation, as two interpenetrating continua.
“According to Table 1, the majority of gas-liquid flows is modeled in the EulerianEulerian formulation [18,25-27,29-31,39-42,45,125,135,136], thus, as two interpenetrating continua.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [25]
The literature includes models for two-phase gas-liquid flows, solid-liquid flows, or three-phase gas-solid-liquid flows.
“The literature includes models for two-phase gasliquid flows [17-19,25,39-42,44,45,125,135], solid-liquid flows [21,23,24,34,36-38,126] or three-phase gas-solid-liquid flows [19,26-31,136].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [25]
The most commonly used drag models for gas-liquid flows in photobioreactor models are the Schiller-Naumann, Grace, Ishii-Zuber and Tomiyama models.
“According to Table 2, the most commonly used drag models for gas-liquid flows are the Schiller-Naumann [17,25,27,29], Grace [45,135], Ishii-Zuber [18,19,26,136] and Tomiyama models [30,31,125]”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [25]
Cites
Correlation of diffusion coefficients in dilute solutions
Wilke, C. R., & Chang, P. (1955) · AIChE Journal · doi:10.1002/aic.690010222 · Cited by 4,881 · see citing works
THE GROWTH OF BACTERIAL CULTURES
Monod, J. (1949) · Annual Review of Microbiology · doi:10.1146/annurev.mi.03.100149.002103 · Cited by 3,853 · see citing works
An outlook on microalgal biofuels
Wijffels, R. H., & Barbosa, M. J. (2010) · Science · doi:10.1126/science.1189003 · Cited by 1,886 · see citing works
A model for the relationship between light intensity and the rate of photosynthesis in phytoplankton
Eilers, P. H. C., & Peeters, J. C. H. (1988) · Ecological Modelling · doi:10.1016/0304-3800(88)90057-9 · Cited by 1,112 · see citing works
Struggle with computational bubble dynamics
(1998) · Multiphase Science and Technology · doi:10.1615/multscientechn.v10.i4.40 · Cited by 663 · see citing works
Shape of liquid drops moving in liquid media
Wellek, R. M., Agrawal, A. K., & Skelland, A. H. P. (1966) · AIChE Journal · doi:10.1002/aic.690120506 · Cited by 435 · see citing works
Computational flow modelling and design of bubble column reactors
Joshi, J. B. (2001) · Chemical Engineering Science · doi:10.1016/s0009-2509(01)00273-1 · Cited by 392 · see citing works
Modeling of Bubble Column Reactors: Progress and Limitations
Jakobsen, H. A., Lindborg, H., & Dorao, C. A. (2005) · Industrial & Engineering Chemistry Research · doi:10.1021/ie049447x · Cited by 285 · see citing works
A mechanistic model of photosynthesis in microalgae
Rubio, F. C., García-Camacho, F., Fernández-Sevilla, J. M., Yusuf Chisti, B., & Grima, E. M. (2002) · Biotechnology and Bioengineering · doi:10.1002/bit.10492 · Cited by 272 · see citing works
Bubble formation in quiescent liquids under constant flow conditions
Gaddis, E. S., & Vogelpohl, A. (1986) · Chemical Engineering Science · doi:10.1016/0009-2509(86)85202-2 · Cited by 246 · see citing works
CFD simulation of bubble column flows: Investigations on turbulence models in RANS approach
Laborde-Boutet, C., Larachi, F., Dromard, N., Delsart, O., & Schweich, D. (2009) · Chemical Engineering Science · doi:10.1016/j.ces.2009.07.009 · Cited by 240 · see citing works
Modelling 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 187 · see citing works
Self-citationLaakkonen, M., Alopaeus, V., & Aittamaa, J. R. (2005) · Chemical Engineering Science · doi:10.1016/j.ces.2004.11.066 · Cited by 184 · see citing works
Self-citationBarbosa, M. J., Janssen, M., Ham, N., Tramper, J., & Wijffels, R. H. (2003) · Biotechnology and Bioengineering · doi:10.1002/bit.10563 · Cited by 181 · see citing works
A model integrating fluid dynamics in photosynthesis and photoinhibition processes
Wu, X., & Merchuk, J. C. (2001) · Chemical Engineering Science · doi:10.1016/s0009-2509(01)00048-3 · Cited by 180 · see citing works
Liquid‐Phase mass transfer coefficients in bioreactors
Kawase, Y., Halard, B., & Moo‐Young, M. (1992) · Biotechnology and Bioengineering · doi:10.1002/bit.260391109 · Cited by 154 · see citing works
Luo, H., & Al‐Dahhan, M. H. (2004) · Biotechnology and Bioengineering · doi:10.1002/bit.10831 · Cited by 136 · see citing works
Serum-free production of recombinant proteins and adenoviral vectors by 293SF-3F6 cells
Côté, J., Garnier, A., Bernard Massie, B., & Kamen, A. (1998) · Biotechnology and Bioengineering · doi:10.1002/(sici)1097-0290(19980905)59:5 · Cited by 133 · see citing works
CFD analysis of turbulence non-homogeneity in mixing vessels
Alexopoulos, A. H., Maggioris, D., & Kiparissides, C. A. (2002) · Chemical Engineering Science · doi:10.1016/s0009-2509(02)00053-2 · Cited by 117 · see citing works
Evaluation of photosynthetic efficiency in microalgal cultures using averaged irradiance
Grima, E. M., García-Camacho, F., Pérez, J. A. S., Acién, F. G., & Fernández-Sevilla, J. M. (1997) · Enzyme and Microbial Technology · doi:10.1016/s0141-0229(97)00012-4 · Cited by 113 · see citing works
A mechanistic model of photosynthesis in microalgae including photoacclimation dynamics
García-Camacho, F., Sánchez‐Mirón, A., Grima, E. M., Camacho‐Rubio, F., & Merchuck, J. (2012) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2012.03.021 · Cited by 111 · see citing works
A general methodology for hybrid multizonal/CFD models
Bezzo, F., Macchietto, S., & Pantelides, C. C. (2003) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2003.08.004 · Cited by 97 · see citing works
Influence of power supply in the feasibility of Phaeodactylum tricornutum cultures
Brindley, C., López, M. C. G., Acién, F. G., Fernández-Sevilla, J. M., Sánchez, J. L. G., & Grima, E. M. (2004) · Biotechnology and Bioengineering · doi:10.1002/bit.20179 · Cited by 95 · see citing works
Dynamic model of microalgal production in tubular photobioreactors
Fernández, I., Acién, F. G., Fernández-Sevilla, J. M., Guzmán, J. L., Magán, J. J., & Berenguel, M. (2012) · Bioresource Technology · doi:10.1016/j.biortech.2012.08.087 · Cited by 93 · see citing works
Simulation of algae growth in a bench-scale bubble column reactor
Wu, X., & Merchuk, J. C. (2002) · Biotechnology and Bioengineering · doi:10.1002/bit.10350 · Cited by 93 · see citing works
Simulation of algae growth in a bench scale internal loop airlift reactor
Wu, X., & Merchuk, J. C. (2004) · Chemical Engineering Science · doi:10.1016/j.ces.2004.02.019 · Cited by 92 · see citing works
Rigopoulos, S., & Jones, A. (2003) · Chemical Engineering Science · doi:10.1016/s0009-2509(03)00179-9 · Cited by 91 · see citing works
Concas, A., Lutzu, G. A., Pisu, M., & Cao, G. (2012) · Chemical Engineering Journal · doi:10.1016/j.cej.2012.09.119 · Cited by 85 · see citing works
Effect of O2:CO2 ratio on the primary metabolism of Chlamydomonas reinhardtii
Kliphuis, A. M. J., Martens, D. E., Janssen, M. G. J., & Wijffels, R. H. (2011) · Biotechnology and Bioengineering · doi:10.1002/bit.23194 · Cited by 73 · see citing works
A general methodology for hybrid multizonal/CFD models
Bezzo, F., & Macchietto, S. (2003) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2003.08.010 · Cited by 71 · see citing works
Analysis of light regime in continuous light distributions in photobioreactors
Brindley, C., Acién Fernández, F. G., & Fernández-Sevilla, J. M. (2011) · Bioresource Technology · doi:10.1016/j.biortech.2010.10.088 · Cited by 64 · see citing works
Alopaeus, V., Laakkonen, M., & Aittamaa, J. R. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2006.07.010 · Cited by 60 · see citing works
Self-citationPhotobioreactor Design and Fluid Dynamics
Merchuk, J. C., García-Camacho, F., & Grima, E. M. (2007) · University of Zagreb University Computing Centre (SRCE) · Cited by 55 · see citing works
Compartmental Models for Continuous Flow Reactors Derived from CFD Simulations
Gresch, M., Brügger, R., Meyer, A., et al. (2009) · Environmental Science & Technology · doi:10.1021/es801651j · Cited by 49 · see citing works
Modeling radiative transfer in photobioreactors for algal growth
Wheaton, Z. C., & Krishnamoorthy, G. (2012) · Computers and Electronics in Agriculture · doi:10.1016/j.compag.2012.05.002 · Cited by 47 · see citing works
Luo, H., & Al‐Dahhan, M. H. (2011) · Biotechnology and Bioengineering · doi:10.1002/bit.24361 · Cited by 46 · see citing works
Pope, D. H. (1975) · Microbial Ecology · doi:10.1007/bf02010377 · Cited by 39 · see citing works
Dynamic modeling of local reaction conditions in an agitated aerobic fermenter
Laakkonen, M., Moilanen, P., Alopaeus, V., & Aittamaa, J. R. (2006) · AIChE Journal · doi:10.1002/aic.10782 · Cited by 33 · see citing works
Self-citationKagoshima, M., & Mann, R. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2005.11.054 · Cited by 25 · see citing works
Effect of oxygen on the growth (yield) of Chlorella vulgaris
Ogawa, T., Fujii, T., & Aiba, S. (1980) · Archives of Microbiology · doi:10.1007/bf00414351 · Cited by 24 · see citing works
Analysis of stirred tanks with two‐zone models
Alopaeus, V., Moilanen, P., & Laakkonen, M. (2009) · AIChE Journal · doi:10.1002/aic.11850 · Cited by 23 · see citing works
Self-citationDevelopment and validation of mass transfer models for the design of agitated gas-liquid reactors
Laakkonen, M. (2006) · Aaltodoc (Aalto University) · Cited by 11 · see citing works
Seppälä, M., Laakkonen, M., Manninen, M., et al. (2008) · Cited by 3 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Photo-bioreactor design for microalgae: A review from the aspect of CO2 transfer and conversion
Fu, J., Huang, Y., Liao, Q., Xia, A., Fu, Q., & Zhu, X. (2019) · Bioresource Technology · doi:10.1016/j.biortech.2019.121947 · Cited by 157 · see citing works
A systems approach for CO2 fixation from flue gas by microalgae—theory review
Kroumov, A. D., Módenes, A. N., Trigueros, D. E. G., Espinoza-Quiñones, F. R., Borba, C. E., Scheufele, F. B., & Hinterholz, C. L. (2016) · Process Biochemistry · doi:10.1016/j.procbio.2016.05.019 · Cited by 62 · see citing works
Simulation of algal photobioreactors: recent developments and challenges
Gao, X., Kong, B., & Vigil, R. D. (2018) · Biotechnology Letters · doi:10.1007/s10529-018-2595-3 · Cited by 60 · see citing works
First Principles Model of a Tubular Photobioreactor for Microalgal Production
Fernández, I., Acién, F. G., Berenguel, M., & Guzmán, J. L. (2014) · Industrial & Engineering Chemistry Research · doi:10.1021/ie501438r · Cited by 57 · see citing works
Gao, X., Kong, B., & Dennis Vigil, R. (2017) · Algal Research · doi:10.1016/j.algal.2017.03.009 · Cited by 53 · see citing works
Wang, L., Wang, Q., Zhao, R., Tao, Y., Ying, K.-Z., & Mao, X.-Z. (2021) · ACS Sustainable Chemistry & Engineering · doi:10.1021/acssuschemeng.0c06109 · Cited by 53 · 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
“One of the most basic and widely known correlations for the drag-force coefficient is the Schiller-Naumann model.”
BackgroundMethodInfluentialXu, J., Cheng, J., Lai, X., Zhang, X., Yang, W., Park, J.-Y., Kim, H., & Xu, L. (2020) · Bioresource Technology · doi:10.1016/j.biortech.2020.123762 · Cited by 30 · see citing works
Numerical analysis of the effects of air on light distribution in a bubble column photobioreactor
McHardy, C., Luzi, G., Lindenberger, C., Agudo, J. R., Delgado, A., & Rauh, C. (2018) · Algal Research · doi:10.1016/j.algal.2018.02.016 · Cited by 25 · see citing works
Modeling outdoors algal cultivation with compartmental approach
Nauha, E. K., & Alopaeus, V. (2015) · Chemical Engineering Journal · doi:10.1016/j.cej.2014.08.073 · Cited by 18 · see citing works
Self-citationBaránková, B., Lazár, D., Nauš, J., Solovchenko, A., Gorelova, O., Baulina, O., Huber, G., & Nedbal, L. (2020) · Algal Research · doi:10.1016/j.algal.2020.101881 · Cited by 17 · see citing works
- Authors
- Nauha, E. K., & Alopaeus, V.
- Affiliations
- Aalto University (FI)
- Corresponding author
- Nauha, Elina K.
- ORCID
- Alopaeus, Ville
- Venue
- Chemical Engineering Journal
- Publisher
- Elsevier BV
- Published
- 2013-08
- Volume
- 229
- Pages
- 559-568
- ISSN
- 1385-8947 (ISSN-L)
- OpenAlex
- W2022788338
- Cited by
- 71
- References
- 43
- Citations by year
- 2026: 3 · 2025: 2 · 2024: 3 · 2023: 4 · 2022: 6 · 2021: 8 · 2020: 12 · 2019: 6 · 2018: 7 · 2017: 8 · 2016: 6 · 2015: 2 · 2014: 4
- FWCI
- 1.45
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Chemical Engineering Journal (publishedVersion)
- Funders
- Tekes
- Topics
- Physical Sciences › Energy › Renewable Energy, Sustainability and the Environment › Algal biology and biofuel production
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Physical Sciences › Environmental Science › Environmental Chemistry › Aquatic Ecosystems and Phytoplankton Dynamics
- Keywords
- bubble column photobioreactor, algal growth modeling, compartmental modeling, light distribution, mass transfer, oxygen inhibition, mixing, computational fluid dynamics, photobioreactor scale-up
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