Parametric numerical study and optimization of mass transfer and bubble size distribution in a gas-liquid stirred tank bioreactor equipped with Rushton turbine using computational fluid dynamics
-
Sanaz Salehi
, Amir Heydarinasab, Farshid Pajoum Shariati
, Ali Taghvaie Nakhjiri and Kourosh Abdollahi
Abstract
Designing and optimizing a bioreactor can be an especially challenging process. Computational modelling is an effective tool to investigate the effects of various operating parameters on bioreactor performance and identify the optimum ones. In this work, a computational fluid dynamics-population balance model (CFD-PBM) was developed to elucidate the effect of different geometrical and operating parameters on the hydrodynamics and mass transfer coefficient of a batch stirred tank bioreactor. The validated model was projected to predict the effect of different parameters including the gas flow rate, the impeller off-bottom clearance, the number of agitator blades, and rotational speed of the impeller on the velocity profiles, air volume fraction, bubble size distribution, and the local gas mass transfer coefficient (K l a) in the bioreactor. Air bubble breakup and coalescence phenomena were considered in all simulations. Factorial experimental design approach was employed to statistically investigate the impacts of the aforementioned operating and geometrical parameters on K l a and bubble size distribution in the bioreactor in order to determine the most significant parameters. This can give an essential insight into the most impactful factors when it comes to designing and scaling up a bioreactor.
-
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
-
Research funding: None declared.
-
Conflict of interest statement: The authors declare no conflicts of interest.
References
Amer, M., Y. Feng, and J. D. Ramsey. 2019. “Using CFD Simulations and Statistical Analysis to Correlate Oxygen Mass Transfer Coefficient to Both Geometrical Parameters and Operating Conditions in a Stirred-Tank Bioreactor.” Biotechnology Progress 35 (3): e2785, https://doi.org/10.1002/btpr.2785.Search in Google Scholar
An, M., X. Guan, and N. Yang. 2020. “Modeling the Effects of Solid Particles in CFD-PBM Simulation of Slurry Bubble Columns.” Chemical Engineering Science 223: 115743, https://doi.org/10.1016/j.ces.2020.115743.Search in Google Scholar
Aubin, J., D. F. Fletcher, and C. Xuereb. 2004. “Modeling Turbulent Flow in Stirred Tanks with CFD: the Influence of the Modeling Approach, Turbulence Model and Numerical Scheme.” Experimental Thermal and Fluid Science 28 (5): 431–45, https://doi.org/10.1016/j.expthermflusci.2003.04.001.Search in Google Scholar
Bach, C., J. Yang, H. Larsson, S. M. Stocks, K. V. Gernaey, M. O. Albaek, and U. Krühne. 2017. “Evaluation of Mixing and Mass Transfer in a Stirred Pilot Scale Bioreactor Utilizing CFD.” Chemical Engineering Science 171: 19–26, doi:https://doi.org/10.1016/j.ces.2017.05.001.Search in Google Scholar
Bashiri, H., F. Bertrand, and J. Chaouki. 2016. “Development of a Multiscale Model for the Design and Scale-Up of Gas/liquid Stirred Tank Reactors.” Chemical Engineering Journal 297: 277–94, https://doi.org/10.1016/j.cej.2016.03.102.Search in Google Scholar
Bequette, B. W. 1991. “Nonlinear Control of Chemical Processes: a Review.” Industrial & Engineering Chemistry Research 30 (7): 1391–413, https://doi.org/10.1021/ie00055a001.Search in Google Scholar
Berg, J. R., S. J. Ormiston, and H. M. Soliman. 2006. “Prediction of the Flow Structure in a Turbulent Rectangular Free Jet.” International Communications in Heat and Mass Transfer 33 (5): 552–63, https://doi.org/10.1016/j.icheatmasstransfer.2006.02.007.Search in Google Scholar
Brucato, A., M. Ciofalo, F. Grisafi, and R. Tocco. 2000. “On the Simulation of Stirred Tank Reactors via Computational Fluid Dynamics.” Chemical Engineering Science 55 (2): 291–302, https://doi.org/10.1016/S0009-2509(99)00324-3.Search in Google Scholar
Cai, X., J. Chen, M. Liu, Y. Ji, and S. An. 2017. “Numerical Studies on Dynamic Characteristics of Oil-Water Separation in Loop Flotation Column Using a Population Balance Model.” Separation and Purification Technology 176: 134–44, https://doi.org/10.1016/j.seppur.2016.12.002.Search in Google Scholar
Cappello, V., C. Plais, and C. Vial. 2021. “Scale-up of Aerated Bioreactors: CFD Validation and Application to the Enzyme Production by Trichoderma reesei.” Chemical Engineering Science 229: 116033, doi:https://doi.org/10.1016/j.ces.2020.116033.Search in Google Scholar
Dhanasekharan, K. M., J. Sanyal, A. Jain, and A. Haidari. 2005. “A Generalized Approach to Model Oxygen Transfer in Bioreactors Using Population Balances and Computational Fluid Dynamics.” Chemical Engineering Science 60 (1): 213–18, https://doi.org/10.1016/j.ces.2004.07.118.Search in Google Scholar
Gelves, R., and L. Niño. 2014. “CFD Prediction of Heterogeneities in the Scale up of Liquid-Liquid Dispersions.” International Journal of Chemical Engineering and Applications 5 (2): 79.10.7763/IJCEA.2014.V5.355Search in Google Scholar
Guan, X., X. Li, N. Yang, and M. Liu. 2020. “CFD Simulation of Gas-Liquid Flow in Stirred Tanks: Effect of Drag Models.” Chemical Engineering Journal 386: 121554, https://doi.org/10.1016/j.cej.2019.04.134.Search in Google Scholar
Haringa, C., W. Tang, A. T. Deshmukh, J. Xia, M. Reuss, J. J. Heijnen, R. F. Mudde, and H. J. Noorman. 2016. “Euler-Lagrange Computational Fluid Dynamics for (Bio)reactor Scale Down: An Analysis of Organism Lifelines.” Engineering in Life Science 16 (7): 652–63, doi:https://doi.org/10.1002/elsc.201600061.Search in Google Scholar
Higbie, R. 1935. “The rate of absorption of a pure gas into a still liquid during short periods of exposure.” Transactions of the Institution of Chemical Engineers 31: 365–89.Search in Google Scholar
Kerdouss, F., A. Bannari, P. Proulx, R. Bannari, M. Skrga, and Y. Labrecque. 2008. “Two-phase Mass Transfer Coefficient Prediction in Stirred Vessel with a CFD Model.” Computers & Chemical Engineering 32 (8): 1943–55, https://doi.org/10.1016/j.compchemeng.2007.10.010.Search in Google Scholar
Khapre, A., and B. Munshi. 2015. “Numerical Investigation of Hydrodynamic Behavior of Shear Thinning Fluids in Stirred Tank.” Journal of the Taiwan Institute of Chemical Engineers 56: 16–27, https://doi.org/10.1016/j.jtice.2015.04.003.Search in Google Scholar
Khopkar, A. R., A. R. Rammohan, V. V. Ranade, and M. P. Dudukovic. 2005. “Gas–liquid Flow Generated by a Rushton Turbine in Stirred Vessel: CARPT/CT Measurements and CFD Simulations.” Chemical Engineering Science 60 (8): 2215–29, https://doi.org/10.1016/j.ces.2004.11.044.Search in Google Scholar
Krishna, C., and M. C. M. Van Loosdrecht. 1999. “Substrate Flux into Storage and Growth in Relation to Activated Sludge Modeling.” Water Research 33 (14): 3149–61, https://doi.org/10.1016/S0043-1354(99)00031-7.Search in Google Scholar
Lane, G. L., M. P. Schwarz, and G. M. Evans. 2002. “Predicting Gas–Liquid Flow in a Mechanically Stirred Tank.” Applied Mathematical Modelling 26 (2): 223–35, https://doi.org/10.1016/S0307-904X(01)00057-9.Search in Google Scholar
Lehr, F., M. Millies, and D. Mewes. 2002. “Bubble-Size Distributions and Flow Fields in Bubble Columns.” AIChE Journal 48 (11): 2426–43, https://doi.org/10.1002/aic.690481103.Search in Google Scholar
Li, X., X. Guan, R. Zhou, N. Yang, and M. Liu. 2017. “CFD Simulation of Gas Dispersion in a Stirred Tank of Dual Rushton Turbines.” International Journal of Chemical Reactor Engineering 15 (4): 20160221.10.1515/ijcre-2016-0221Search in Google Scholar
Liu, R., Y. Liu, and C.-Z. Liu. 2013. “Development of an Efficient CFD-Simulation Method to Optimize the Structure Parameters of an Airlift Sonobioreactor.” Chemical Engineering Research and Design 91 (2): 211–20, https://doi.org/10.1016/j.cherd.2012.08.001.Search in Google Scholar
Luo, H., and H. F. Svendsen. 1996. “Theoretical Model for Drop and Bubble Breakup in Turbulent Dispersions.” AIChE Journal 42 (5): 1225–33, https://doi.org/10.1002/aic.690420505.Search in Google Scholar
McClure, D. D., J. M. Kavanagh, D. F. Fletcher, and G. W. Barton. 2015a. “Oxygen Transfer in Bubble Columns at Industrially Relevant Superficial Velocities: Experimental Work and CFD Modelling.” Chemical Engineering Journal 280: 138–46, https://doi.org/10.1016/j.cej.2015.06.003.Search in Google Scholar
McClure, D. D., N. Aboudha, J. M. Kavanagh, D. F. Fletcher, and G. W. Barton. 2015b. “Mixing in Bubble Column Reactors: Experimental Study and CFD Modeling.” Chemical Engineering Journal 264: 291–301, https://doi.org/10.1016/j.cej.2014.11.090.Search in Google Scholar
Mishra, S., V. Kumar, J. Sarkar, and A. S. Rathore. 2021. “CFD Based Mass Transfer Modeling of a Single Use Bioreactor for Production of Monoclonal Antibody Biotherapeutics.” Chemical Engineering Journal 412: 128592, https://doi.org/10.1016/j.cej.2021.128592.Search in Google Scholar
Mohamed, M. H., A. M. Ali, and A. A. Hafiz. 2015. “CFD Analysis for H-Rotor Darrieus Turbine as a Low Speed Wind Energy Converter.” Engineering Science and Technology, an International Journal 18 (1): 1–13, https://doi.org/10.1016/j.jestch.2014.08.002.Search in Google Scholar
Moteshafi, H., S. M. Mousavi, and M. Hashemi. 2019. “Aeration Challenge in High BSG Suspended Fermentation: Impact of Stirred-Tank Bioreactor Scale.” Biomass and Bioenergy 130: 105386, https://doi.org/10.1016/j.biombioe.2019.105386.Search in Google Scholar
Nakhjiri, A. T., A. Heydarinasab, O. Bakhtiari, and T. Mohammadi. 2018. “Modeling and Simulation of CO2 Separation from CO2/CH4 Gaseous Mixture Using Potassium Glycinate, Potassium Argininate and Sodium Hydroxide Liquid Absorbents in the Hollow Fiber Membrane Contactor.” Journal of Environmental Chemical Engineering 6 (1): 1500–11, https://doi.org/10.1016/j.jece.2018.01.068.Search in Google Scholar
Nemdili, F., A. Azzi, G. Theodoridis, and B. A. Jubran. 2008. “Reynolds Stress Transport Modeling of Film Cooling at the Leading Edge of a Symmetrical Turbine Blade Model.” Heat Transfer Engineering 29 (11): 950–60, https://doi.org/10.1080/01457630802186064.Search in Google Scholar
Nguyen, D. D., S. I. Ngo, Y.-I. Lim, W. Kim, D. Seo, and W. L. Yoon. 2018. “Computational Fluid Dynamics (CFD) Modelling and Optimum Gap Size of a Compact Steam Methane Reforming (SMR) Reactor.” In Computer Aided Chemical Engineering, 44, edited by M. R. Eden, M. G. Ierapetritou, and G. P. Towler, 331–6. San Diego: Elsevier.10.1016/B978-0-444-64241-7.50050-1Search in Google Scholar
Nienow, A. W. 1998. “Hydrodynamics of Stirred Bioreactors.” Applied Mechanics Reviews 51 (1): 3–32, https://doi.org/10.1115/1.3098990.Search in Google Scholar
Pirouzpanah, S., A. Patil, Y. Chen, and G. Morrison. 2019. “Predictive Erosion Model for Mixed Flow Centrifugal Pump.” Journal of Energy Resources Technology 141 (092001), https://doi.org/10.1115/1.4043135.Search in Google Scholar
Pourramezan, M., and H. Ajam. 2016. “Modeling for Thermal Augmentation of Turbulent Flow in a Circular Tube Fitted with Twisted Conical Strip Inserts.” Applied Thermal Engineering 105: 509–18, https://doi.org/10.1016/j.applthermaleng.2016.03.029.Search in Google Scholar
Rao, A., M. Sathe, R. K. Reddy, and K. Nandakumar. 2016. “CFD with Population Balance Model to Predict Droplet Size Distribution in Submerged Turbulent Multiphase Jets.” Canadian Journal of Chemical Engineering 94 (11): 2072–85, https://doi.org/10.1002/cjce.22630.Search in Google Scholar
Rathore, A. S., C. Sharma, and A. Persad. 2012. “Use of Computational Fluid Dynamics as a Tool for Establishing Process Design Space for Mixing in a Bioreactor.” Biotechnology Progress 28 (2): 382–91, https://doi.org/10.1002/btpr.745.Search in Google Scholar PubMed
Risberg, D., M. Risberg, and L. Westerlund. 2016. “CFD Modelling of Radiators in Buildings with User-Defined Wall Functions.” Applied Thermal Engineering 94: 266–73, https://doi.org/10.1016/j.applthermaleng.2015.10.134.Search in Google Scholar
Rokkam, R. G., R. O. Fox, and M. E. Muhle. 2010. “Computational Fluid Dynamics and Electrostatic Modeling of Polymerization Fluidized-Bed Reactors.” Powder Technology 203 (2): 109–24, https://doi.org/10.1016/j.powtec.2010.04.002.Search in Google Scholar
Roy, S., and U. K. Saha. 2013. “Computational Study to Assess the Influence of Overlap Ratio on Static Torque Characteristics of a Vertical Axis Wind Turbine.” Procedia Engineering 51: 694–702, https://doi.org/10.1016/j.proeng.2013.01.099.Search in Google Scholar
Sarkar, J., L. K. Shekhawat, V. Loomba, and A. S. Rathore. 2016. “CFD of Mixing of Multi-phase Flow in a Bioreactor Using Population Balance Model.” Biotechnology Progress 32 (3): 613–28, https://doi.org/10.1002/btpr.2242.Search in Google Scholar PubMed
Shaheed, R., A. Mohammadian, and H. Kheirkhah Gildeh. 2019. “A Comparison of Standard k–ε and Realizable k–ε Turbulence Models in Curved and Confluent Channels.” Environmental Fluid Mechanics 19 (2): 543–68, https://doi.org/10.1007/s10652-018-9637-1.Search in Google Scholar
Shahril, S. M., G. A. Quadir, N. A. M. Amin, and I. A. Badruddin. 2017. “Thermo Hydraulic Performance Analysis of a Shell-And-Double Concentric Tube Heat Exchanger Using CFD.” International Journal of Heat and Mass Transfer 105: 781–98, https://doi.org/10.1016/j.ijheatmasstransfer.2016.10.021.Search in Google Scholar
Shih, T.-H., W. W. Liou, A. Shabbir, Z. Yang, and J. Zhu. 1995. “A New K-ϵ Eddy Viscosity Model for High Reynolds Number Turbulent Flows.” Computers & Fluids 24 (3): 227–38, https://doi.org/10.1016/0045-7930(94)00032-T.Search in Google Scholar
Shu, S., and N. Yang. 2018. “GPU-accelerated Large Eddy Simulation of Stirred Tanks.” Chemical Engineering Science 181: 132–45, https://doi.org/10.1016/j.ces.2018.02.011.Search in Google Scholar
Shu, L., M. Yang, H. Zhao, T. Li, L. Yang, X. Zou, and Y. Li. 2019. “Process Optimization in a Stirred Tank Bioreactor Based on CFD-Taguchi Method: A Case Study.” Journal of Cleaner Production 230: 1074–84, doi:https://doi.org/10.1016/j.jclepro.2019.05.083.Search in Google Scholar
Sklavounos, S., and F. Rigas. 2012. “Advanced Multi-Perspective Computer Simulation as a Tool for Reliable Consequence Analysis.” Process Safety and Environmental Protection 90 (2): 129–40, https://doi.org/10.1016/j.psep.2011.06.008.Search in Google Scholar
Terashima, M., R. Goel, K. Komatsu, H. Yasui, H. Takahashi, Y. Y. Li, and T. Noike. 2009. “CFD Simulation of Mixing in Anaerobic Digesters.” Bioresource Technology 100 (7): 2228–33, doi:https://doi.org/10.1016/j.biortech.2008.07.069.Search in Google Scholar PubMed
Um, B.-H., and T. R. Hanley. 2008. “A CFD Model for Predicting the Flow Patterns of Viscous Fluids in a Bioreactor under Various Operating Conditions.” Korean Journal of Chemical Engineering 25 (5): 1094–102, https://doi.org/10.1007/s11814-008-0179-y.Search in Google Scholar
Urbina, R., B. P. Epps, M. L. Peterson, and R. W. Kimball. 2019. “A Dynamic Stall Model for Analysis of Cross-Flow Turbines Using Discrete Vortex Methods.” Renewable Energy 130: 1130–45, https://doi.org/10.1016/j.renene.2018.07.153.Search in Google Scholar
Utyuzhnikov, S. V. 2008. “Robin-type Wall Functions and Their Numerical Implementation.” Applied Numerical Mathematics 58 (10): 1521–33, https://doi.org/10.1016/j.apnum.2007.09.003.Search in Google Scholar
Visuri, O., G. A. Wierink, and V. Alopaeus. 2012. “Investigation of Drag Models in CFD Modeling and Comparison to Experiments of Liquid–Solid Fluidized Systems.” International Journal of Mineral Processing 104-105: 58–70, https://doi.org/10.1016/j.minpro.2011.12.006.Search in Google Scholar
Wadnerkar, D., M. O. Tade, V. K. Pareek, and R. P. Utikar. 2016. “CFD Simulation of Solid–Liquid Stirred Tanks for Low to Dense Solid Loading Systems.” Particuology 29: 16–33, https://doi.org/10.1016/j.partic.2016.01.012.Search in Google Scholar
Xiao, Q., J. Wang, N. Yang, and J. Li. 2017. “Simulation of the Multiphase Flow in Bubble Columns with Stability-Constrained Multi-Fluid CFD Models.” Chemical Engineering Journal 329: 88–99, https://doi.org/10.1016/j.cej.2017.06.008.Search in Google Scholar
Zhan, C., E. Hagrot, L. Brandt, and V. Chotteau. 2019. “Study of Hydrodynamics in Wave Bioreactors by Computational Fluid Dynamics Reveals a Resonance Phenomenon.” Chemical Engineering Science 193: 53–65, https://doi.org/10.1016/j.ces.2018.08.017.Search in Google Scholar
Supplementary Material
The online version of this article offers supplementary material (https://doi.org/10.1515/ijcre-2021-0083).
© 2021 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Review
- Nanoreactors: properties, applications and characterization
- Articles
- Numerical simulation of the particle-wall collision strength and swirling effect on the performance of the axial flow cyclone separator
- Development and experimental validation of reactor kinetic model for catalytic cracking of eugenol, a potential bio additive fuel blend
- Effect of flue gas components on the NO removal and element mercury oxidation performance of Mn-modified low-temperature catalyst
- CFD analysis and RSM optimization of obstacle layout in Tesla micromixer
- Non-invasive morphological characterization of cellular loofa sponges using digital microscopy and micro-CT
- Residence time distribution studies on recycle reactor with recirculation
- The influence of membrane electrode assembly’s pressing on PEM fuel cell’s performance
- Oxidative hydrolysis of Fe(Ⅱ) in the process of hydrothermal synthesis of hematite
- Parametric numerical study and optimization of mass transfer and bubble size distribution in a gas-liquid stirred tank bioreactor equipped with Rushton turbine using computational fluid dynamics
Articles in the same Issue
- Frontmatter
- Review
- Nanoreactors: properties, applications and characterization
- Articles
- Numerical simulation of the particle-wall collision strength and swirling effect on the performance of the axial flow cyclone separator
- Development and experimental validation of reactor kinetic model for catalytic cracking of eugenol, a potential bio additive fuel blend
- Effect of flue gas components on the NO removal and element mercury oxidation performance of Mn-modified low-temperature catalyst
- CFD analysis and RSM optimization of obstacle layout in Tesla micromixer
- Non-invasive morphological characterization of cellular loofa sponges using digital microscopy and micro-CT
- Residence time distribution studies on recycle reactor with recirculation
- The influence of membrane electrode assembly’s pressing on PEM fuel cell’s performance
- Oxidative hydrolysis of Fe(Ⅱ) in the process of hydrothermal synthesis of hematite
- Parametric numerical study and optimization of mass transfer and bubble size distribution in a gas-liquid stirred tank bioreactor equipped with Rushton turbine using computational fluid dynamics