Modeling outdoors algal cultivation with compartmental approach

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

Bioreactor scale-up and oxygen transfer rate in microbial processes: An overview

García‐Ochoa, F., & Gómez, E. (2008) · Biotechnology Advances · doi:10.1016/j.biotechadv.2008.10.006 · Cited by 1,516 · 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

Constraints to Commercialization of Algal Fuels

Chisti, Y. (2013) · Journal of Biotechnology · doi:10.1016/j.jbiotec.2013.07.020 · Cited by 719 · 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

Photobioreactors: Light regime, mass transfer, and scaleup

Molina Grima, E., Fernández, F. G. A., Garcı́a Camacho, F., & Chisti, Y. (1999) · Journal of Biotechnology · doi:10.1016/s0168-1656(99)00078-4 · Cited by 603 · see citing works

Closed photobioreactors for production of microalgal biomasses

Wang, B., Lan, C. Q., & Horsman, M. (2012) · Biotechnology Advances · doi:10.1016/j.biotechadv.2012.01.019 · Cited by 488 · 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

Photoreactor Analysis and Design: Fundamentals and Applications

Cassano, A. E., Martín, C. A., Brandi, R. J., & Alfano, O. M. (1995) · Industrial & Engineering Chemistry Research · doi:10.1021/ie00046a001 · Cited by 434 · see citing works

Health applications of bioactive compounds from marine microalgae

Raposo, M. F. D. J., Morais, R. M. S. C., & Morais, A. M. M. B. (2013) · Life Sciences · doi:10.1016/j.lfs.2013.08.002 · Cited by 412 · see citing works

CFD simulation of bubble column—An analysis of interphase forces and turbulence models

Tabib, M., Roy, S. A., & Joshi, J. B. (2007) · Chemical Engineering Journal · doi:10.1016/j.cej.2007.09.015 · Cited by 358 · see citing works

Comparative evaluation of compact photobioreactors for large-scale monoculture of microalgae

Sánchez Mirón, A., Contreras Gómez, A., Garcı́a Camacho, F., Molina Grima, E., & Chisti, Y. (1999) · Journal of Biotechnology · doi:10.1016/s0168-1656(99)00079-6 · Cited by 352 · see citing works

Systematic investigation of biomass and lipid productivity by microalgae in photobioreactors for biodiesel application

Pruvost, J., Vooren, G. V., Gouic, B. L., Couzinet‐Mossion, A., & Legrand, J. (2010) · Bioresource Technology · doi:10.1016/j.biortech.2010.06.153 · Cited by 331 · see citing works

Application of computational fluid dynamics for modeling and designing photobioreactors for microalgae production: A review

Bitog, J. P., Lee, I. B., Lee, C., Kim, K. S., Hwang, H.-S., Hong, S.-W., Seo, I.-H., Kwon, K.-S., & Mostafa, E. (2011) · Computers and Electronics in Agriculture · doi:10.1016/j.compag.2011.01.015 · Cited by 300 · see citing works

Bubble-column and airlift photobioreactors for algal culture

Sánchez Mirón, A., García Camacho, F., Contreras Gómez, A., Grima, E. M., & Chisti, Y. (2000) · AIChE Journal · doi:10.1002/aic.690460915 · Cited by 288 · see citing works

Shear stress tolerance and biochemical characterization of Phaeodactylum tricornutum in quasi steady-state continuous culture in outdoor photobioreactors

Sánchez‐Mirón, A., Cerón-García, M. C., Gómez, A. C., García-Camacho, F., Grima, E. M., & Yusuf Chisti, B. (2003) · Biochemical Engineering Journal · doi:10.1016/s1369-703x(03)00072-x · Cited by 279 · see citing works

Metabolic Origin of Carbon Isotope Composition of Leaf Dark-Respired CO2 in French Bean

Tcherkez, G. G. B., Nogués, S., Bleton, J., Cornic, G., Badeck, F., & Ghashghaie, J. (2003) · PLANT PHYSIOLOGY · doi:10.1104/pp.013078 · Cited by 277 · see citing works

A model for light distribution and average solar irradiance inside outdoor tubular photobioreactors for the microalgal mass culture

Acién, F. G., García-Camacho, F., Pérez, J. A. S., Fernández-Sevilla, J. M., & Grima, E. M. (1997) · Biotechnology and Bioengineering · doi:10.1002/(sici)1097-0290(19970905)55:5 · Cited by 248 · 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

A fully predictive model for one‐dimensional light attenuation by <i>Chlamydomonas reinhardtii</i> in a torus photobioreactor

Pottier, L., Pruvost, J., Deremetz, J., Cornet, J. ‐., Legrand, J., & Dussap, C. G. (2005) · Biotechnology and Bioengineering · doi:10.1002/bit.20475 · Cited by 239 · see citing works

Models of diffuse solar radiation

Boland, J. W., Ridley, B., & Brown, B. M. (2007) · Renewable Energy · doi:10.1016/j.renene.2007.04.012 · Cited by 218 · see citing works

Growth and biochemical characterization of microalgal biomass produced in bubble column and airlift photobioreactors: studies in fed-batch culture

Sánchez‐Mirón, A., Cerón-García, M. C., García-Camacho, F., Grima, E. M., & Yusuf Chisti, B. (2002) · Enzyme and Microbial Technology · doi:10.1016/s0141-0229(02)00229-6 · Cited by 213 · see citing works

Comparative study of various correlations in estimating hourly diffuse fraction of global solar radiation

Jacovides, C. P., Tymvios, F. S., Assimakopoulos, V. D., & Kaltsounides, N. A. (2006) · Renewable Energy · doi:10.1016/j.renene.2005.11.009 · Cited by 196 · 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

Validation of bubble breakage, coalescence and mass transfer models for gas–liquid dispersion in agitated vessel

Laakkonen, M., Alopaeus, V., & Aittamaa, J. R. (2005) · Chemical Engineering Science · doi:10.1016/j.ces.2004.11.066 · Cited by 184 · see citing works

Microalgae cultivation in air‐lift reactors: Modeling biomass yield and growth rate as a function of mixing frequency

Barbosa, 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

Analyzing and modeling of photobioreactors by combining first principles of physiology and hydrodynamics

Luo, H., & Al‐Dahhan, M. H. (2004) · Biotechnology and Bioengineering · doi:10.1002/bit.10831 · Cited by 136 · see citing works

Kinetic modeling of the photosynthetic growth of <i>Chlamydomonas reinhardtii</i> in a photobioreactor

Takache, H., Pruvost, J., & Cornet, J. (2012) · Biotechnology Progress · doi:10.1002/btpr.1545 · Cited by 112 · see citing works

Carboxymethyl cellulose protects algal cells against hydrodynamic stress

García-Camacho, F., Grima, E. M., Sánchez‐Mirón, A., Pascual, V. G., & Yusuf Chisti, B. (2001) · Enzyme and Microbial Technology · doi:10.1016/s0141-0229(01)00442-2 · Cited by 94 · 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

A complete energy balance from photons to new biomass reveals a light- and nutrient-dependent variability in the metabolic costs of carbon assimilation

Jakob, T., Wagner, H., Stehfest, K., & Wilhelm, C. (2007) · Journal of Experimental Botany · doi:10.1093/jxb/erm084 · Cited by 89 · see citing works

Experimental analysis and novel modeling of semi-batch photobioreactors operated with Chlorella vulgaris and fed with 100% (v/v) CO2

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

Modeling method for combining fluid dynamics and algal growth in a bubble column photobioreactor

Nauha, E. K., & Alopaeus, V. (2013) · Chemical Engineering Journal · doi:10.1016/j.cej.2013.06.065 · Cited by 71 · see citing works

Two-Dimensional CFD Model for the Prediction of Flow Pattern, Pressure Drop and Heat Transfer Coefficient in Bubble Column Reactors

Dhotre, M. T., & Joshi, J. B. (2004) · Process Safety and Environmental Protection · doi:10.1205/026387604774195984 · Cited by 61 · see citing works

Development of a CFD Model of Bubble Column Bioreactors: Part Two – Comparison of Experimental Data and CFD Predictions

McClure, D. D., Kavanagh, J. M., Fletcher, D. F., & Barton, G. W. (2013) · Chemical Engineering & Technology · doi:10.1002/ceat.201300546 · Cited by 61 · see citing works

Solution of population balances with breakage and agglomeration by high-order moment-conserving method of classes

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

Scale-up cultivation of Chlorella ellipsoidea from indoor to outdoor in bubble column bioreactors

Wang, S.-K., Hu, Y.-R., Wang, F., Stiles, A. R., & Liu, C.-Z. (2014) · Bioresource Technology · doi:10.1016/j.biortech.2014.01.023 · Cited by 58 · see citing works

Photobioreactor 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

Modeling algal growth in bubble columns under sparging with CO2-enriched air

Pegallapati, A. K., & Nirmalakhandan, N. N. (2012) · Bioresource Technology · doi:10.1016/j.biortech.2012.08.026 · Cited by 49 · 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

The role of small bubbles in gas–liquid mass transfer in stirred vessels and assessment of a two-fraction model for noncoalescent or moderately viscous liquids

Pinelli, D. (2007) · Chemical Engineering Science · doi:10.1016/j.ces.2007.03.024 · Cited by 11 · see citing works

Compartmental Modelling in chemical engineering: A critical review

Jourdan, N., Neveux, T., Potier, O., Kanniche, M., Wicks, J., Ingmar Nopens, A., Rehman, U., & Moullec, Y. L. (2019) · Chemical Engineering Science · doi:10.1016/j.ces.2019.115196 · Cited by 105 · see citing works

Compartmental modeling of large stirred tank bioreactors with high gas volume fractions

Nauha, E. K., Kálal, Z., Ali, J. M., & Alopaeus, V. (2017) · Chemical Engineering Journal · doi:10.1016/j.cej.2017.11.182 · Cited by 66 · 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

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

Performance evaluation of bubble column photobioreactor along with CFD simulations for microalgal cultivation using human urine

Patil, S. S., Behera, B., Sen, S., & Balasubramanian, P. (2020) · Journal of environmental chemical engineering · doi:10.1016/j.jece.2020.104615 · Cited by 30 · see citing works

Application of the compartmental model to the gas–liquid precipitation of CO2‐Ca(OH)2 aqueous system in a stirred tank

Zhao, W., Buffo, A., Alopaeus, V., Han, B., & Louhi‐Kultanen, M. (2016) · AIChE Journal · doi:10.1002/aic.15567 · Cited by 27 · 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

Application of computational fluid dynamics in optimizing microalgal photobioreactors

Amanna, B., Bahri, P. A., & Moheimani, N. R. (2024) · Algal Research · doi:10.1016/j.algal.2024.103718 · Cited by 24 · see citing works

Spatio-temporal 1D gas–liquid model for biological methanation in lab scale and industrial bubble column

Ngu, V., Morchain, J., & Cockx, A. (2022) · Chemical Engineering Science · doi:10.1016/j.ces.2022.117478 · Cited by 21 · see citing works

Machine Learning and Artificial Intelligence for Algal Cultivation, Harvesting Techniques, Wastewater Treatment, Nutrient Recovery, and Biofuel Production and Optimization

Mafat, I. H., Palla, S., & Surya, D. V. (2024) · Value Added Products From Bioalgae Based Biorefineries: Opportunities and Challenges · doi:10.1007/978-981-97-1662-3_18 · Cited by 17 · see citing works

A CFD coupled photo-bioreactive transport modelling of tubular photobioreactor mixed by peristaltic pump

Cho, B. A., Grobler, E., Pott, R. W. M., del Rio‐Chanona, E. A., & Zhang, D. (2023) · Chemical Engineering Science · doi:10.1016/j.ces.2023.118525 · Cited by 14 · see citing works

CFD predictive simulations of miniature bioreactor mixing dynamics coupled with photo-bioreaction kinetics in transitional flow regime

Cho, B. A., Teke, G. M., Gakingo, G. K., Pott, R. W. M., & Zhang, D. (2024) · Biochemical Engineering Journal · doi:10.1016/j.bej.2024.109585 · Cited by 3 · see citing works

Surrogate and Multiscale Modelling for (Bio)reactor Scale-up and Visualisation

Cho, B. A. (2023) · Royal Society of Chemistry eBooks · doi:10.1039/bk9781837670178-00277 · Cited by 3 · see citing works

Hydrodynamic Characterization of a Non‐conventional Photobioreactor

Weck, K., Calvo, S., Delafosse, A., & Toye, D. (2021) · Chemical Engineering & Technology · doi:10.1002/ceat.202100076 · Cited by 3 · see citing works

Part III: Data Intelligence and Industrial Applications

(2023) · Royal Society of Chemistry eBooks · doi:10.1039/bk9781837670178-00275

CFD Simulations of Mixing Dynamics and Photobioreaction Kinetics in Miniature Bioreactors under Transitional Flow Regimes

Cho, B. A., Teke, G. M., Gakingo, G. K., Pott, R. W. M., & Zhang, D. (2025) · Systems and Control Transactions · doi:10.69997/sct.197756

Hydrodynamique dans les circuits de refroidissement industriels : influence sur les phénomènes d’encrassement, caractérisation et modélisation

Jourdan, N. (2020) · doi:10.70675/a9f680f6z547cz48eeza8dcze29264ae07da

A 1D model for scale-up of CO2 fermentation to acetic acid in industrial scale bubble columns

Regis, F., Buffo, A., Monteverde, A., & Fino, D. (2026) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2026.129111

Modeling method for combining fluid dynamics and algal growth in a bubble column photobioreactor

Nauha, E. K., & Alopaeus, V. (2013) · Chemical Engineering Journal · doi:10.1016/j.cej.2013.06.065 · Cited by 71 · see citing works

A macromodel for outdoor algal mass production

Guterman, H., Vonshak, A., & Ben‐Yaakov, S. (1990) · Biotechnology and Bioengineering · doi:10.1002/bit.260350809 · Cited by 54 · see citing works

Modeling and simulation of light-limited microalgal growth in an internally illuminated photobioreactor

Yang, J. (2000)

Modeling closed outdoor cultivation of photoautotrophic microalgae growth rate: a critical review

Taborda, T., Pires, J. C. M., Badenes, S. M., & Lemos, F. (2025) · Journal of Applied Phycology · doi:10.1007/s10811-025-03724-5

A comprehensive mechanistic model for simulating algal growth dynamics in photobioreactors

Shriwastav, A., Thomas, J., & Bose, P. (2017) · Bioresource Technology · doi:10.1016/j.biortech.2017.02.080 · Cited by 28 · see citing works