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Sun W, Si Q, Zheng Z, Xuan Y, Zhou X, Wang P. Effect of aeration on oxygen transfer characteristics in integrated wastewater treatment systems utilizing mass transfer model and computation fluid dynamics methods. BIORESOURCE TECHNOLOGY 2024; 414:131588. [PMID: 39393648 DOI: 10.1016/j.biortech.2024.131588] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/30/2024] [Revised: 10/06/2024] [Accepted: 10/07/2024] [Indexed: 10/13/2024]
Abstract
This paper investigates the aeration and oxygen transfer characteristics within the aeration tank of an integrated wastewater treatment system (IWTS) using Computational Fluid Dynamics coupled with Population Balance Model and oxygen transfer model. The findings suggest that increasing the air flow rate significantly enhances the oxygen transfer rate, albeit at a decreasing rate of growth. The oxygen overall mass transfer coefficient is primarily influenced by the interfacial area per unit volume and to a lesser by the oxygen mass transfer coefficient (kL). A strong positive correlation is found between turbulence intensity and kL, which, along with dissolved oxygen distribution, confirms the critical role of turbulence in the oxygen transfer process. For small-scale IWTS, an air flow rate of 30 L/min may be the optimal choice.
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Affiliation(s)
- Wentao Sun
- Research Center of Fluid Machinery Engineering & Technology, Jiangsu University, Zhenjiang 212013, PR China
| | - Qiaorui Si
- Research Center of Fluid Machinery Engineering & Technology, Jiangsu University, Zhenjiang 212013, PR China
| | - Zhi Zheng
- School of the Environment and Safety Engineering, Jiangsu University, Zhenjiang 212013, PR China; School of Water, Energy and Environment, Cranfield University, College Road, Cranfield, United Kingdom
| | - Yipeng Xuan
- Research Center of Fluid Machinery Engineering & Technology, Jiangsu University, Zhenjiang 212013, PR China
| | - Xiaoyu Zhou
- Research Center of Fluid Machinery Engineering & Technology, Jiangsu University, Zhenjiang 212013, PR China
| | - Peng Wang
- Research Center of Fluid Machinery Engineering & Technology, Jiangsu University, Zhenjiang 212013, PR China.
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2
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Anand A, McCahill M, Thomas J, Sood A, Kinross J, Dasgupta A, Rajendran A. An in-silico analysis of hydrodynamics and gas mass transfer characteristics in scale-down models for mammalian cell cultures. J Biotechnol 2024; 388:96-106. [PMID: 38642816 DOI: 10.1016/j.jbiotec.2024.04.013] [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: 11/06/2023] [Revised: 03/01/2024] [Accepted: 04/17/2024] [Indexed: 04/22/2024]
Abstract
Bioprocess scale-up and technology transfer can be challenging due to multiple variables that need to be optimized during process development from laboratory scale to commercial manufacturing. Cell cultures are highly sensitive to key factors during process transfer across scales, including geometric variability in bioreactors, shear stress from impeller and sparging activity, and nutrient gradients that occur due to increasing blend times. To improve the scale-up and scale-down of these processes, it is important to fully characterize bioreactors to better understand the differences that will occur within the culture environment, especially the hydrodynamic profiles that will vary in vessel designs across scales. In this study, a comprehensive hydrodynamic characterization of the Ambr® 250 mammalian single-use bioreactor was performed using time-accurate computational fluid dynamics simulations conducted with M-Star computational fluid dynamics software, which employs lattice-Boltzmann techniques to solve the Navier-Stokes transport equations at a mesoscopic scale. The single-phase and two-phase fluid properties within this small-scale vessel were analyzed in the context of agitation hydrodynamics and mass transfer (both within the bulk fluid and the free surface) to effectively characterize and understand the differences that scale-down models possess when compared to their large-scale counterparts. The model results validate the use of computational fluid dynamics as an in-silico tool to characterize bioreactor hydrodynamics and additionally identify important free-surface transfer mechanics that need to be considered during the qualification of a scale-down model in the development of mammalian bioprocesses.
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Affiliation(s)
- Alaina Anand
- Bioprocess Research and Development, Pfizer, Andover, MA 01810, USA
| | - Madelynn McCahill
- Manufacturing Sciences and Technology, Global Technology and Engineering, Pfizer, Andover, MA 01810, USA; Manufacturing Intelligence, Global Technology and Engineering, Pfizer, Andover, MA, USA
| | - John Thomas
- M-Star Simulations, 11000 Baltimore National Pike, Ellicott City, MD 21042, USA
| | - Aishwarya Sood
- Manufacturing Sciences and Technology, Global Technology and Engineering, Pfizer, Andover, MA 01810, USA
| | - Jonathan Kinross
- Manufacturing Sciences and Technology, Global Technology and Engineering, Pfizer, Andover, MA 01810, USA
| | - Aparajita Dasgupta
- Manufacturing Sciences and Technology, Global Technology and Engineering, Pfizer, Andover, MA 01810, USA.
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3
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Zhou G, Wang J, Song R, Xu C, Wang P. Experimental Study on Droplet Breakup and Droplet Particles Diffusion of a Pressure Nozzle Based on PIV. Chem Eng Sci 2022. [DOI: 10.1016/j.ces.2022.117737] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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4
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Zhou H, Tang X, Zhu Z, Li S. 0D Homogeneous Simulation of Droplet Size Evolution in a Turbulent Stirred Tank. Ind Eng Chem Res 2022. [DOI: 10.1021/acs.iecr.2c00208] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Han Zhou
- Research Institute of Petroleum Processing (RIPP), Sinopec, Beijing 100083, China
| | - Xiaojin Tang
- Research Institute of Petroleum Processing (RIPP), Sinopec, Beijing 100083, China
| | - Zhenxing Zhu
- Research Institute of Petroleum Processing (RIPP), Sinopec, Beijing 100083, China
| | - Shaowei Li
- Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
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5
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Farsani HY, Wutz J, DeVincentis B, Thomas JA, Motevalian SP. Modeling mass transfer in stirred microbioreactors. Chem Eng Sci 2022. [DOI: 10.1016/j.ces.2021.117146] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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6
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Zhou H, Yu X, Wang B, Jing S, Lan W, Li S. Breakup model of oscillating drops in turbulent flow field. Chem Eng Sci 2022. [DOI: 10.1016/j.ces.2021.117036] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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7
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Zhang H, Wang Y, Sayyar A, Wang T. Experimental study on breakup of a single bubble in a stirred tank: Effect of gas density and liquid properties. AIChE J 2021. [DOI: 10.1002/aic.17511] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Huahai Zhang
- Beijing Key Laboratory of Green Reaction Engineering and Technology, Department of Chemical Engineering Tsinghua University Beijing China
| | - Yuelin Wang
- Beijing Key Laboratory of Green Reaction Engineering and Technology, Department of Chemical Engineering Tsinghua University Beijing China
| | - Ali Sayyar
- Beijing Key Laboratory of Green Reaction Engineering and Technology, Department of Chemical Engineering Tsinghua University Beijing China
| | - Tiefeng Wang
- Beijing Key Laboratory of Green Reaction Engineering and Technology, Department of Chemical Engineering Tsinghua University Beijing China
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8
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Single oil drop breakage in water: Impact of turbulence level in channel flow. CHEMICAL ENGINEERING SCIENCE: X 2021. [DOI: 10.1016/j.cesx.2021.100111] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022] Open
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9
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Gong S, Gao N. Consideration of bottleneck effect of entire energy spectrum in bubble coalescence simulation. Chem Eng Sci 2021. [DOI: 10.1016/j.ces.2021.116501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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10
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Zhou H, Yu X, Wang B, Jing S, Lan W, Li S. CFD–PBM Simulation of Liquid–Liquid Dispersions in a Pump-Mixer. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.0c05745] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Han Zhou
- Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
| | - Xiong Yu
- Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
| | - Bo Wang
- Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
| | - Shan Jing
- Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
| | - Wenjie Lan
- State Key Laboratory of Heavy Oil Processing, China University of Petroleum (Beijing), Beijing 102249, China
| | - Shaowei Li
- Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
- State Key Laboratory of Chemical Engineering, Tsinghua University, Beijing 100084, China
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11
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On the validity of different methods to estimate breakup frequency from single drop experiments. Chem Eng Sci 2020. [DOI: 10.1016/j.ces.2020.115908] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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12
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Herø EH, La Forgia N, Solsvik J, Jakobsen HA. Single drop breakage in turbulent flow: Statistical data analysis. CHEMICAL ENGINEERING SCIENCE: X 2020. [DOI: 10.1016/j.cesx.2020.100082] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022] Open
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13
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Zhang XB, Luo ZH. Effects of bubble coalescence and breakup models on the simulation of bubble columns. Chem Eng Sci 2020. [DOI: 10.1016/j.ces.2020.115850] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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14
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Zhou H, Yang J, Jing S, Lan W, Zheng Q, Li S. Influence of Dispersed-Phase Viscosity on Droplet Breakup in a Continuous Pump-Mixer. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b05239] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | | | | | - Wenjie Lan
- State Key Laboratory of Heavy Oil Processing, China University of Petroleum (Beijing), Beijing 102249, China
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15
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16
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Single-bubble fragmentation in a mechanically stirred liquid bath under trailing vortex conditions. Chem Eng Sci 2019. [DOI: 10.1016/j.ces.2019.07.019] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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17
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Karimi M, Andersson R. Dual mechanism model for fluid particle breakup in the entire turbulent spectrum. AIChE J 2019. [DOI: 10.1002/aic.16600] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Mohsen Karimi
- Department of Chemistry and Chemical EngineeringChalmers University of Technology Gothenburg Sweden
| | - Ronnie Andersson
- Department of Chemistry and Chemical EngineeringChalmers University of Technology Gothenburg Sweden
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18
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Håkansson A. Emulsion Formation by Homogenization: Current Understanding and Future Perspectives. Annu Rev Food Sci Technol 2019; 10:239-258. [DOI: 10.1146/annurev-food-032818-121501] [Citation(s) in RCA: 44] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Emulsion formation by homogenization is commonly used in food production and research to increase product stability and to design colloidal structures. High-energy methods such as high-pressure homogenizers and rotor–stator mixers are the two most common techniques. However, to what extent does the research community understand the emulsion formation taking place in these devices? This contribution attempts to answer this question through critically reviewing the scientific literature, starting with the hydrodynamics of homogenizers and continuing by reviewing drop breakup and coalescence. It is concluded that although research in this field has been ongoing for a century and has provided a substantial amount of empirical correlations and scaling laws, the fundamental understanding is still limited, especially in the case of emulsions with a high-volume fraction of the disperse phase, as seen in many food applications. These limitations in the current understanding are also used to provide future perspectives and suggest directions for further investigation.
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Affiliation(s)
- Andreas Håkansson
- Department of Food Technology, Engineering and Nutrition, LTH, Lund University, SE-221 00 Lund, Sweden
- Department of Food and Meal Science, Kristianstad University, SE-291 88 Kristianstad, Sweden
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CFD-PBM Coupled Simulation of Liquid-Liquid Dispersions in Spray Fluidized Bed Extractor: Comparison of Three Numerical Methods. INTERNATIONAL JOURNAL OF CHEMICAL ENGINEERING 2019. [DOI: 10.1155/2019/4836213] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
A coupled numerical code of the Euler-Euler model and the population balance model (PBM) of the liquid-liquid dispersions in a spray fluidized bed extractor (SFBE) has been performed to investigate the hydrodynamic behavior. A classes method (CM) and two representatively numerical moment-based methods, namely, a quadrature method of moments (QMOM) and a direct quadrature method of moments (DQMOM), are used to solve the PBE for evaluating the effect of the numerical method. The purpose of this article is to compare the results achieved by three methods for solving population balance during liquid-liquid two-phase mixing in a SFBE. The predicted results reveal that the CM has the advantage of computing the droplet size distribution (DSD) directly, but it is computationally expensive if a large number of intervals are needed. The MOMs (QMOM and DQMOM) are preferable to coupling the PBE solution with CFD codes for liquid-liquid dispersions simulations due to their easy application, reasonable accuracy, and high reliability. Comparative results demonstrated the suitability of the DQMOM for modeling the spray fluidized bed extractor with simultaneous droplet breakage and aggregation. This work increases the understanding of the chemical engineering characteristics of multiphase systems and provides a theoretical basis for the quantitative design, scale-up, and optimization of multiphase devices.
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20
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Karimi M, Andersson R. An exploratory study on fluid particles breakup rate models for the entire spectrum of turbulent energy. Chem Eng Sci 2018. [DOI: 10.1016/j.ces.2018.08.016] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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21
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A novel multiscale theoretical model for droplet coalescence induced by turbulence in the framework of entire energy spectrum. Chem Eng Sci 2018. [DOI: 10.1016/j.ces.2017.10.045] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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22
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Numerical simulation of the bubble column at elevated pressure with a CFD-PBM coupled model. Chem Eng Sci 2017. [DOI: 10.1016/j.ces.2017.01.013] [Citation(s) in RCA: 31] [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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23
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Solsvik J, Skjervold VT, Jakobsen HA. A bubble breakage model for finite Reynolds number flows. J DISPER SCI TECHNOL 2017. [DOI: 10.1080/01932691.2016.1216440] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Jannike Solsvik
- Department of Chemical Engineering, Norwegian University of Science and Technology (NTNU), Trondheim, Norway
| | - Vidar T. Skjervold
- Department of Chemical Engineering, Norwegian University of Science and Technology (NTNU), Trondheim, Norway
| | - Hugo A. Jakobsen
- Department of Chemical Engineering, Norwegian University of Science and Technology (NTNU), Trondheim, Norway
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24
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Das SK. A new turbulence-induced theoretical breakage kernel in the context of the population balance equation. Chem Eng Sci 2016. [DOI: 10.1016/j.ces.2016.05.039] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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25
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Solsvik J, Skjervold VT, Han L, Luo H, Jakobsen HA. A theoretical study on drop breakup modeling in turbulent flows: The inertial subrange versus the entire spectrum of isotropic turbulence. Chem Eng Sci 2016. [DOI: 10.1016/j.ces.2016.04.037] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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26
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Razzaghi K, Shahraki F. Theoretical model for multiple breakup of fluid particles in turbulent flow field. AIChE J 2016. [DOI: 10.1002/aic.15314] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Kiyanoosh Razzaghi
- Dept. of Chemical Engineering; University of Sistan and Baluchestan; Zahedan 98164-161 Iran
| | - Farhad Shahraki
- Dept. of Chemical Engineering; University of Sistan and Baluchestan; Zahedan 98164-161 Iran
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27
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Podgórska W, Marchisio DL. Modeling of turbulent drop coalescence in the presence of electrostatic forces. Chem Eng Res Des 2016. [DOI: 10.1016/j.cherd.2015.11.025] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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28
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Solsvik J, Jakobsen HA. Single Air Bubble Breakup Experiments in Stirred Water Tank. INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING 2015. [DOI: 10.1515/ijcre-2014-0154] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
Single gas bubbles have been injected into an stirred liquid tank and the eventual breakup process of the bubbles was examined through high-speed imaging. Experimental observations of the breakup probability, breakup time, number of daughter bubbles and daughter bubble size distribution have been collected. The occurrence of non-equal-size breakup events dominated over equal-size breakup events. The frequency of binary and multiple breakup events was about equal. The largest uncertainty is associated with the determination of the breakup time because the bubbles take continuously altering deformed shapes already from the point of injection into the tank. The present experimental data do not support the standard model assumption regarding the number of daughter particles. The active breakup zone in the stirred tank was in the large velocity field close to the radial impeller. It is not evident whether the breakup events are due to time average shear or pressures and velocity fluctuations.
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Han L, Fu J, Li M, Gong S, Gao N, Zhang C, Luo H. A theoretical unsteady-state model for k
L
of bubbles based on the framework of wide energy spectrum. AIChE J 2015. [DOI: 10.1002/aic.15092] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Luchang Han
- Dept. of Chemical Engineering; Xiangtan University; Xiangtan 411105 P.R. China
| | - Jin Fu
- Dept. of Chemical Engineering; Xiangtan University; Xiangtan 411105 P.R. China
| | - Ming Li
- Dept. of Chemical Engineering; Xiangtan University; Xiangtan 411105 P.R. China
| | - Shenggao Gong
- Dept. of Chemical Engineering; Xiangtan University; Xiangtan 411105 P.R. China
| | - Ningning Gao
- Dept. of Chemical Engineering; Xiangtan University; Xiangtan 411105 P.R. China
| | - Chi Zhang
- Dept. of Chemical Engineering; Xiangtan University; Xiangtan 411105 P.R. China
| | - He'an Luo
- Dept. of Chemical Engineering; Xiangtan University; Xiangtan 411105 P.R. China
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31
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Han L, Gong S, Ding Y, Fu J, Gao N, Luo H. Consideration of low viscous droplet breakage in the framework of the wide energy spectrum and the multiple fragments. AIChE J 2015. [DOI: 10.1002/aic.14830] [Citation(s) in RCA: 29] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Luchang Han
- Dept. of Chemical Engineering, School of Chemical Engineering; Xiangtan University; Hunan 411105 P.R. China
| | - Shenggao Gong
- Dept. of Chemical Engineering, School of Chemical Engineering; Xiangtan University; Hunan 411105 P.R. China
| | - Yaowen Ding
- Dept. of Chemical Engineering, School of Chemical Engineering; Xiangtan University; Hunan 411105 P.R. China
| | - Jin Fu
- Dept. of Chemical Engineering, School of Chemical Engineering; Xiangtan University; Hunan 411105 P.R. China
| | - Ningning Gao
- Dept. of Chemical Engineering, School of Chemical Engineering; Xiangtan University; Hunan 411105 P.R. China
| | - He'an Luo
- Dept. of Chemical Engineering, School of Chemical Engineering; Xiangtan University; Hunan 411105 P.R. China
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32
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Zainal Abidin MII, Abdul Raman AA, Mohamad Nor MI. Mean drop size correlations and population balance models for liquid-liquid dispersion. AIChE J 2015. [DOI: 10.1002/aic.14751] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
| | - Abdul Aziz Abdul Raman
- Dept. of Chemical Engineering, Faculty of Engineering; University of Malaya; 50603 Kuala Lumpur Malaysia
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33
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Xing C, Wang T, Guo K, Wang J. A unified theoretical model for breakup of bubbles and droplets in turbulent flows. AIChE J 2014. [DOI: 10.1002/aic.14709] [Citation(s) in RCA: 46] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Chutian Xing
- Beijing Key Laboratory of Green Reaction Engineering and Technology; Dept. of Chemical Engineering, Tsinghua University; Beijing 100084 China
| | - Tiefeng Wang
- Beijing Key Laboratory of Green Reaction Engineering and Technology; Dept. of Chemical Engineering, Tsinghua University; Beijing 100084 China
| | - Kunyu Guo
- Beijing Key Laboratory of Green Reaction Engineering and Technology; Dept. of Chemical Engineering, Tsinghua University; Beijing 100084 China
| | - Jinfu Wang
- Beijing Key Laboratory of Green Reaction Engineering and Technology; Dept. of Chemical Engineering, Tsinghua University; Beijing 100084 China
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34
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Solsvik J, Becker PJ, Sheibat-Othman N, Mohallick I, Farzad R, Jakobsen HA. Viscous Drop Breakage in Liquid–Liquid Stirred Dispersions: Population Balance Modeling. J DISPER SCI TECHNOL 2014. [DOI: 10.1080/01932691.2014.910471] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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35
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36
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Han L, Gong S, Li Y, Gao N, Fu J, Luo H, Liu Z. Influence of energy spectrum distribution on drop breakage in turbulent flows. Chem Eng Sci 2014. [DOI: 10.1016/j.ces.2014.06.018] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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37
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Solsvik J, Jakobsen HA. A Combined Multifluid-Population Balance Model Applied to Dispersed Gas–Liquid Flows. J DISPER SCI TECHNOL 2014. [DOI: 10.1080/01932691.2013.866901] [Citation(s) in RCA: 4] [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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38
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Julian Becker P, Puel F, Jakobsen HA, Sheibat-Othman N. Development of an improved breakage kernel for high dispersed viscosity phase emulsification. Chem Eng Sci 2014. [DOI: 10.1016/j.ces.2014.02.008] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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39
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Drop breakage and coalescence in the toluene/water dispersions with dissolved surface active polymers PVA 88% and 98%. Chem Eng Res Des 2013. [DOI: 10.1016/j.cherd.2013.06.011] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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40
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A novel theoretical model of breakage rate and daughter size distribution for droplet in turbulent flows. Chem Eng Sci 2013. [DOI: 10.1016/j.ces.2013.06.046] [Citation(s) in RCA: 40] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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41
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Solsvik J, Tangen S, Jakobsen HA. On the constitutive equations for fluid particle breakage. REV CHEM ENG 2013. [DOI: 10.1515/revce-2013-0009] [Citation(s) in RCA: 68] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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