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Xing Z, Duane G, O'Sullivan J, Chelius C, Smith L, Borys MC, Khetan A. Validation of a CFD model for cell culture bioreactors at large scale and its application in scale-up. J Biotechnol 2024; 387:79-88. [PMID: 38582408 DOI: 10.1016/j.jbiotec.2024.02.006] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2023] [Revised: 11/28/2023] [Accepted: 02/18/2024] [Indexed: 04/08/2024]
Abstract
Among all the operating parameters that control the cell culture environment inside bioreactors, appropriate mixing and aeration are crucial to ensure sufficient oxygen supply, homogeneous mixing, and CO2 stripping. A model-based manufacturing facility fit approach was applied to define agitation and bottom air flow rates during the process scale-up from laboratory to manufacturing, of which computational fluid dynamics (CFD) was the core modeling tool. The realizable k-ε turbulent dispersed Eulerian gas-liquid flow model was established and validated using experimental values for the volumetric oxygen transfer coefficient (kLa). Model validation defined the process operating parameter ranges for application of the model, identified mixing issues (e.g., impeller flooding, dissolved oxygen gradients, etc.) and the impact of antifoam on kLa. Using the CFD simulation results as inputs to the models for oxygen demand, gas entrance velocity, and CO2 stripping aided in the design of the agitation and bottom air flow rates needed to meet cellular oxygen demand, control CO2 levels, mitigate risks for cell damage due to shear, foaming, as well as fire hazards due to high O2 levels in the bioreactor gas outlet. The recommended operating conditions led to the completion of five manufacturing runs with a 100% success rate. This model-based approach achieved a seamless scale-up and reduced the required number of at-scale development batches, resulting in cost and time savings of a cell culture commercialization process.
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Affiliation(s)
- Zizhuo Xing
- Biologics Development and Operations, Bristol Myers Squibb Company, Devens, MA 01434, USA.
| | - Gearóid Duane
- Manufacturing Science and Technology Biologics, Bristol Myers Squibb Company, Mulhuddart, Ireland
| | - Josiah O'Sullivan
- Manufacturing Science and Technology Biologics, Bristol Myers Squibb Company, Mulhuddart, Ireland
| | - Cynthia Chelius
- Biologics Development and Operations, Bristol Myers Squibb Company, Devens, MA 01434, USA
| | - Laura Smith
- Biologics Development and Operations, Bristol Myers Squibb Company, Devens, MA 01434, USA
| | - Michael C Borys
- Biologics Development and Operations, Bristol Myers Squibb Company, Devens, MA 01434, USA.
| | - Anurag Khetan
- Biologics Development and Operations, Bristol Myers Squibb Company, Devens, MA 01434, USA
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2
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Study on hydrodynamics characteristics in a gas-liquid stirred tank with a self-similarity impeller based on CFD-PBM coupled model. J Taiwan Inst Chem Eng 2023. [DOI: 10.1016/j.jtice.2023.104688] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
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3
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Chen H, Zhang XB, Luo ZH. A CFD-PBM Coupled Method to Optimize a Pilot-Scale Stirred Bioreactor. Ind Eng Chem Res 2022. [DOI: 10.1021/acs.iecr.2c00905] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Hao Chen
- Department of Chemical Engineering, School of Chemistry and Chemical Engineering, State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai200240, P. R. China
| | - Xi-Bao Zhang
- Department of Chemical Engineering, School of Chemistry and Chemical Engineering, State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai200240, P. R. China
| | - Zheng-Hong Luo
- Department of Chemical Engineering, School of Chemistry and Chemical Engineering, State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai200240, P. R. China
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4
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Wang S, Bu Q, Luan D, Zhang Y, Li L, Wang Z, Shi W. Study on gas–liquid flow characteristics in stirred tank with dual-impeller based on CFD-PBM coupled model. Chin J Chem Eng 2021. [DOI: 10.1016/j.cjche.2020.10.026] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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5
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Zheng H, Yan Z, Zhu X, Yan Z. Hydrodynamics and flow-accelerated corrosion in a stirred crystallizer: Experiment and simulation. J Taiwan Inst Chem Eng 2021. [DOI: 10.1016/j.jtice.2021.01.002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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6
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CFD simulation of impeller shape effect on quality of mixing in two-phase gas–liquid agitated vessel. Chin J Chem Eng 2020. [DOI: 10.1016/j.cjche.2020.06.036] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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7
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Numerical simulation of micro-mixing in gas–liquid and solid–liquid stirred tanks with the coupled CFD-E-model. Chin J Chem Eng 2020. [DOI: 10.1016/j.cjche.2020.06.016] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Chen Y. SIMULATION AND EXPERIMENTAL INVESTIGATION OF POWER CONSUMPTION, GAS DISPERSION AND MASS TRANSFER COEFFICIENT IN A MULTI-PHASE STIRRED BIOREACTOR. BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING 2019. [DOI: 10.1590/0104-6632.20190364s20180450] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Affiliation(s)
- Yuanfeng Chen
- Fujian Provincial Academy of Environmental Science, China
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9
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Zheng C, Guo J, Wang C, Chen Y, Zheng H, Yan Z, Chen Q. Experimental study and simulation of a three-phase flow stirred bioreactor. Chin J Chem Eng 2019. [DOI: 10.1016/j.cjche.2018.06.010] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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10
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Liangchao L, Ning C, Kefeng X, Beiping X. A Comparative CFD Study on Gas-Liquid Dispersion in A Stirred Tank with Low and High Gas Loadings. INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING 2018. [DOI: 10.1515/ijcre-2017-0147] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
The computational fluid dynamics (CFD) combined with a population balance model (PBM) was applied to simulate gas-liquid dispersion in a stirred tank with low and high gas loadings. The model predictions were validated by using the data in the literature. The simulation results show that the flow patterns and gas dispersion characteristics are very different in the stirred tank for low and high gas loadings. A typical two-loop flow pattern forms as that in single-phase stirred tank for low gas loadings, while a triple-loop flow pattern, with two recirculation loops above and one below the impeller is found in the tank for high gas loadings. Shaft power input of impeller agitation plays a major role for gas dispersion with low gas loadings. For high gas loadings, the potential energy due to gas sparging has significant effect on gas dispersion and can not be neglected. Compared to low gas loading, high gas loading causes average gas holdup increased in the stirred tank, while relative local gas holdup in the lower circulation-loop region and near-wall region reduced. The ability of impeller agitation for gas dispersion reduces with high gas loadings, and mean bubble size becomes larger and the volume-averaged bubble size distribution is wider.
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11
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Computational fluid dynamics simulation of an industrial P. chrysogenum fermentation with a coupled 9-pool metabolic model: Towards rational scale-down and design optimization. Chem Eng Sci 2018. [DOI: 10.1016/j.ces.2017.09.020] [Citation(s) in RCA: 54] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
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12
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Xie L, Zhu LT, Luo ZH, Jiang CW. Multiscale Modeling of Mixing Behavior in a 3D Atom Transfer Radical Copolymerization Stirred-Tank Reactor. MACROMOL REACT ENG 2016. [DOI: 10.1002/mren.201600022] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Affiliation(s)
- Le Xie
- Department of Chemical Engineering; College of Chemistry and Chemical Engineering; Shanghai Jiao Tong University; Shanghai 200240 P. R. China
| | - Li-Tao Zhu
- Department of Chemical Engineering; College of Chemistry and Chemical Engineering; Shanghai Jiao Tong University; Shanghai 200240 P. R. China
| | - Zheng-Hong Luo
- Department of Chemical Engineering; College of Chemistry and Chemical Engineering; Shanghai Jiao Tong University; Shanghai 200240 P. R. China
| | - Chong-Wen Jiang
- College of Chemistry and Chemical Engineering; Central South University; Changsha 410083 P. R. China
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Yang T, Peng LZ, Liu TY, Wang B, Han LH, Liu Q. Optimization of Rotor Geometry for a Type of Self-Suction Aerating Mechanical Flotation Cell. JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 2016. [DOI: 10.1252/jcej.14we430] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Teng Yang
- State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing
| | - Liang-Zhen Peng
- State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing
| | - Ting-Yao Liu
- State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing
| | - Bao Wang
- State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing
| | - Li-Hui Han
- School of Metallurgical and Ecological Engineering, University of Science and Technology Beijing
| | - Qing Liu
- State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing
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Yang S, Li X, Yang C, Ma B, Mao ZS. Computational Fluid Dynamics Simulation and Experimental Measurement of Gas and Solid Holdup Distributions in a Gas–Liquid–Solid Stirred Reactor. Ind Eng Chem Res 2015. [DOI: 10.1021/acs.iecr.5b03163] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Shifang Yang
- Key
Laboratory of Green Process and Engineering, Institute of Process
Engineering, Chinese Academy of Sciences, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Xiangyang Li
- Key
Laboratory of Green Process and Engineering, Institute of Process
Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Chao Yang
- Key
Laboratory of Green Process and Engineering, Institute of Process
Engineering, Chinese Academy of Sciences, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Bin Ma
- Key
Laboratory of Green Process and Engineering, Institute of Process
Engineering, Chinese Academy of Sciences, Beijing 100190, China
- China University of Mining & Technology, Beijing 100083, China
| | - Zai-Sha Mao
- Key
Laboratory of Green Process and Engineering, Institute of Process
Engineering, Chinese Academy of Sciences, Beijing 100190, China
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16
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Ge CY, Wang JJ, Gu XP, Feng LF. CFD simulation and PIV measurement of the flow field generated by modified pitched blade turbine impellers. Chem Eng Res Des 2014. [DOI: 10.1016/j.cherd.2013.08.024] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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17
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Machado MB, Bittorf KJ, Roussinova VT, Kresta SM. Transition from turbulent to transitional flow in the top half of a stirred tank. Chem Eng Sci 2013. [DOI: 10.1016/j.ces.2013.04.039] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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18
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Wang T, Cheng J, Li X, Yang C, Mao ZS. Numerical simulation of a pitched-blade turbine stirred tank with mirror fluid method. CAN J CHEM ENG 2013. [DOI: 10.1002/cjce.21707] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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19
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20
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Kaiser SC, Kraume M, Eibl D. Development of the Travelling Wave Bioreactor - A Concept Study. CHEM-ING-TECH 2012. [DOI: 10.1002/cite.201200127] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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21
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Joshi JB, Nere NK, Rane CV, Murthy BN, Mathpati CS, Patwardhan AW, Ranade VV. CFD simulation of stirred tanks: Comparison of turbulence models (Part II: Axial flow impellers, multiple impellers and multiphase dispersions). CAN J CHEM ENG 2011. [DOI: 10.1002/cjce.20465] [Citation(s) in RCA: 78] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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22
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Montante G, Laurenzi F, Paglianti A, Magelli F. Two-Phase Flow and Bubble Size Distribution in Air-Sparged and Surface-Aerated Vessels Stirred by a Dual Impeller. Ind Eng Chem Res 2010. [DOI: 10.1021/ie9006276] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Giuseppina Montante
- Department of Chemical, Mining and Environmental Engineering, University of Bologna, via Terracini 28, Bologna I-40131, Italy
| | - Fabio Laurenzi
- Department of Chemical, Mining and Environmental Engineering, University of Bologna, via Terracini 28, Bologna I-40131, Italy
| | - Alessandro Paglianti
- Department of Chemical, Mining and Environmental Engineering, University of Bologna, via Terracini 28, Bologna I-40131, Italy
| | - Franco Magelli
- Department of Chemical, Mining and Environmental Engineering, University of Bologna, via Terracini 28, Bologna I-40131, Italy
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23
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Pianko-Oprych P, Nienow A, Barigou M. Positron emission particle tracking (PEPT) compared to particle image velocimetry (PIV) for studying the flow generated by a pitched-blade turbine in single phase and multi-phase systems. Chem Eng Sci 2009. [DOI: 10.1016/j.ces.2009.08.003] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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24
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Zhang YH, Yong YM, Mao ZS, Yang C, Sun HY, Wang HL. Numerical Simulation of Gas-Liquid Flow in a Stirred Tank with Swirl Modification. Chem Eng Technol 2009. [DOI: 10.1002/ceat.200900067] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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25
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Zhu H, Nienow AW, Bujalski W, Simmons MJ. Mixing studies in a model aerated bioreactor equipped with an up- or a down-pumping ‘Elephant Ear’ agitator: Power, hold-up and aerated flow field measurements. Chem Eng Res Des 2009. [DOI: 10.1016/j.cherd.2008.08.013] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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26
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Panneerselvam R, Savithri S, Surender GD. Computational Fluid Dynamics Simulation of Solid Suspension in a Gas−Liquid−Solid Mechanically Agitated Contactor. Ind Eng Chem Res 2008. [DOI: 10.1021/ie800978w] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Ranganathan Panneerselvam
- Process Engineering & Environmental Technology Division, National Institute for Interdisciplinary Science and Technology (CSIR), Thiruvananthapuram−695 019, India
| | - Sivaraman Savithri
- Process Engineering & Environmental Technology Division, National Institute for Interdisciplinary Science and Technology (CSIR), Thiruvananthapuram−695 019, India
| | - Gerald Devasagayam Surender
- Process Engineering & Environmental Technology Division, National Institute for Interdisciplinary Science and Technology (CSIR), Thiruvananthapuram−695 019, India
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Panneerselvam R, Savithri S, Surender GD. CFD modeling of gas–liquid–solid mechanically agitated contactor. Chem Eng Res Des 2008. [DOI: 10.1016/j.cherd.2008.08.008] [Citation(s) in RCA: 53] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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28
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Solids distribution and rising velocity of buoyant solid particles in a vessel stirred with multiple impellers. Chem Eng Sci 2008. [DOI: 10.1016/j.ces.2008.08.033] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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29
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CFD simulation of gas–liquid flows in stirred vessel equipped with dual rushton turbines: influence of parallel, merging and diverging flow configurations. Chem Eng Sci 2008. [DOI: 10.1016/j.ces.2008.04.039] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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31
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Montante G, Horn D, Paglianti A. Gas–liquid flow and bubble size distribution in stirred tanks. Chem Eng Sci 2008. [DOI: 10.1016/j.ces.2008.01.005] [Citation(s) in RCA: 93] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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32
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Montante G, Paglianti A, Magelli F. Experimental Analysis and Computational Modelling of Gas–Liquid Stirred Vessels. Chem Eng Res Des 2007. [DOI: 10.1205/cherd06141] [Citation(s) in RCA: 52] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Scargiali F, D’Orazio A, Grisafi F, Brucato A. Modelling and Simulation of Gas–Liquid Hydrodynamics in Mechanically Stirred Tanks. Chem Eng Res Des 2007. [DOI: 10.1205/cherd06243] [Citation(s) in RCA: 75] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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34
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35
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Khopkar AR, Ranade VV. CFD simulation of gas–liquid stirred vessel: VC, S33, and L33 flow regimes. AIChE J 2006. [DOI: 10.1002/aic.10762] [Citation(s) in RCA: 56] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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36
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Francis P, Martinez DM, Taghipour F, Bowen BD, Haynes CA. Optimizing the rotor design for controlled-shear affinity filtration using computational fluid dynamics. Biotechnol Bioeng 2006; 95:1207-17. [PMID: 16937405 DOI: 10.1002/bit.21090] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Abstract
Controlled shear affinity filtration (CSAF) is a novel integrated processing technology that positions a rotor directly above an affinity membrane chromatography column to permit protein capture and purification directly from cell culture. The conical rotor is intended to provide a uniform and tunable shear stress at the membrane surface that inhibits membrane fouling and cell cake formation by providing a hydrodynamic force away from and a drag force parallel to the membrane surface. Computational fluid dynamics (CFD) simulations are used to show that the rotor in the original CSAF device (Vogel et al., 2002) does not provide uniform shear stress at the membrane surface. This results in the need to operate the system at unnecessarily high rotor speeds to reach a required shear stress of at least 0.17 Pa at every radial position of the membrane surface, compromising the scale-up of the technology. Results from CFD simulations are compared with particle image velocimetry (PIV) experiments and a numerical solution for low Reynolds number conditions to confirm that our CFD model accurately describes the hydrodynamics in the rotor chamber of the CSAF device over a range of rotor velocities, filtrate fluxes, and (both laminar and turbulent) retentate flows. CFD simulations were then carried out in combination with a root-finding method to optimize the shape of the CSAF rotor. The optimized rotor geometry produces a nearly constant shear stress of 0.17 Pa at a rotational velocity of 250 rpm, 60% lower than the original CSAF design. This permits the optimized CSAF device to be scaled up to a maximum rotor diameter 2.5 times larger than is permissible in the original device, thereby providing more than a sixfold increase in volumetric throughput.
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37
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Gas–liquid flow generated by a Rushton turbine in stirred vessel: CARPT/CT measurements and CFD simulations. Chem Eng Sci 2005. [DOI: 10.1016/j.ces.2004.11.044] [Citation(s) in RCA: 134] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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38
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Pinelli D. A phenomenological model for the gas phase flow in high-aspect-ratio stirred vessels: the role of small bubbles in non-coalescent and moderately viscous liquids. Chem Eng Sci 2005. [DOI: 10.1016/j.ces.2004.10.044] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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