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Baumgartner L, Kahn A, Hoogland M, Bleeker J, Jager WF, Vermaas DA. Direct Imaging of Local pH Reveals Bubble-Induced Mixing in a CO 2 Electrolyzer. ACS SUSTAINABLE CHEMISTRY & ENGINEERING 2023; 11:10430-10440. [PMID: 37476421 PMCID: PMC10354799 DOI: 10.1021/acssuschemeng.3c01773] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/25/2023] [Revised: 06/07/2023] [Indexed: 07/22/2023]
Abstract
Electrochemical CO2 reduction poses a promising pathway to produce hydrocarbon chemicals and fuels without relying on fossil fuels. Gas diffusion electrodes allow high selectivity for desired carbon products at high current density by ensuring a sufficient CO2 mass transfer rate to the catalyst layer. In addition to CO2 mass transfer, the product selectivity also strongly depends on the local pH at the catalyst surface. In this work, we directly visualize for the first time the two-dimensional (2D) pH profile in the catholyte channel of a gas-fed CO2 electrolyzer equipped with a bipolar membrane. The pH profile is imaged with operando fluorescence lifetime imaging microscopy (FLIM) using a pH-sensitive quinolinium-based dye. We demonstrate that bubble-induced mixing plays an important role in the Faradaic efficiency. Our concentration measurements show that the pH at the catalyst remains lower at -100 mA cm-2 than at -10 mA cm-2, implying that bubble-induced advection outweighs the additional OH- flux at these current densities. We also prove that the pH buffering effect of CO2 from the gas feed and dissolved CO2 in the catholyte prevents the gas diffusion electrode from becoming strongly alkaline. Our findings suggest that gas-fed CO2 electrolyzers with a bipolar membrane and a flowing catholyte are promising designs for scale-up and high-current-density operation because they are able to avoid extreme pH values in the catalyst layer.
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Affiliation(s)
- Lorenz
M. Baumgartner
- Department of Chemical Engineering, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Aron Kahn
- Department of Chemical Engineering, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Maxime Hoogland
- Department of Chemical Engineering, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Jorrit Bleeker
- Department of Chemical Engineering, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - Wolter F. Jager
- Department of Chemical Engineering, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands
| | - David A. Vermaas
- Department of Chemical Engineering, Delft University of Technology, Van der Maasweg 9, 2629 HZ Delft, The Netherlands
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2
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Discrimination of ablation, shielding, and interface layer effects on the steady-state formation of persistent bubbles under liquid flow conditions during laser synthesis of colloids. J Flow Chem 2021. [DOI: 10.1007/s41981-021-00144-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Abstract
AbstractOver the past decade, laser ablation in liquids (LAL) was established as an innovative nanoparticle synthesis method obeying the principles of green chemistry. While one of the main advantages of this method is the absence of stabilizers leading to nanoparticles with “clean” ligand-free surfaces, its main disadvantage is the comparably low nanoparticle production efficiency dampening the sustainability of the method and preventing the use of laser-synthesized nanoparticles in applications that require high amounts of material. In this study, the effects of productivity-dampening entities that become particularly relevant for LAL with high repetition rate lasers, i.e., persistent bubbles or colloidal nanoparticles (NPs), on the synthesis of colloidal gold nanoparticles in different solvents are studied. Especially under batch ablation conditions in highly viscous liquids with prolonged ablation times both shielding entities are closely interconnected and need to be disentangled. By performing liquid flow-assisted nanosecond laser ablation of gold in liquids with different viscosity and nanoparticle or bubble diffusivity, it is shown that a steady-state is reached after a few seconds with fixed individual contributions of bubble- and colloid-induced shielding effects. By analyzing dimensionless numbers (i.e., Axial Peclet, Reynolds, and Schmidt) it is demonstrated how these shielding effects strongly depend on the liquid’s transport properties and the flow-induced formation of an interface layer along the target surface. In highly viscous liquids, the transport of NPs and persistent bubbles within this interface layer is strongly diffusion-controlled. This diffusion-limitation not only affects the agglomeration of the NPs but also leads to high local densities of NPs and bubbles near the target surface, shielding up to 80% of the laser power. Hence, the ablation rate does not only depend on the total amount of shielding matter in the flow channel, but also on the location of the persistent bubbles and NPs. By comparing LAL in different liquids, it is demonstrated that 30 times more gas is produced per ablated amount of substance in acetone and ethylene glycol compared to ablation in water. This finding confirms that chemical effects contribute to the liquid’s decomposition and the ablation yield as well. Furthermore, it is shown that the highest ablation efficiencies and monodisperse qualities are achieved in liquids with the lowest viscosities and gas formation rates at the highest volumetric flow rates.
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3
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Ma R, Wei B, Wang J. Theoretical study for bubble diameter prediction at detachment from an orifice in high liquid velocity cross-flow. J DISPER SCI TECHNOL 2021. [DOI: 10.1080/01932691.2021.1883054] [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]
Affiliation(s)
- Rui Ma
- School of Mechanical and Power Engineering, Shanghai Jiao Tong University, Shanghai, China
- School of Electrical Engineering, Xinjiang University, Xinjiang Urumqi, China
| | - Bo Wei
- School of Chemistry and Chemical Engineering, Xinjiang University, Xinjiang Urumqi, China
| | - Jianjiang Wang
- School of Chemistry and Chemical Engineering, Xinjiang University, Xinjiang Urumqi, China
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4
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Sun L, Fan M, Yu H, Li P, Xu J, Qin H, Jiang S. Microbubble characteristic in a co-flowing liquid in microfluidic chip. J DISPER SCI TECHNOL 2020. [DOI: 10.1080/01932691.2019.1614037] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Lixia Sun
- College of Mechanical and Electrical Engineering, Changchun University of Science and Technology, Changchun, Jilin, China
- College of Mechanical Engineering, Beihua University, Jilin, Jilin, China
| | - Mingxu Fan
- College of Mechanical Engineering, Beihua University, Jilin, Jilin, China
| | - Huadong Yu
- College of Mechanical and Electrical Engineering, Changchun University of Science and Technology, Changchun, Jilin, China
| | - Peng Li
- College of Mechanical Engineering, Beihua University, Jilin, Jilin, China
| | - Jinkai Xu
- College of Mechanical and Electrical Engineering, Changchun University of Science and Technology, Changchun, Jilin, China
| | - Hongwei Qin
- School of Mechatronics Engineering, Harbin Institute of Technology, Harbin, Heilongjiang, China
| | - Shengyuan Jiang
- School of Mechatronics Engineering, Harbin Institute of Technology, Harbin, Heilongjiang, China
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5
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Haase S, Bauer T, Graf E. Gas–Liquid Flow Regime Prediction in Minichannels: A Dimensionless, Universally Applicable Approach. Ind Eng Chem Res 2020. [DOI: 10.1021/acs.iecr.9b03756] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Stefan Haase
- Chair of Chemical Reaction Engineering and Process Plants, Technische Universität Dresden, Dresden 01069, Germany
| | - Tobias Bauer
- Chair of Chemical Reaction Engineering and Process Plants, Technische Universität Dresden, Dresden 01069, Germany
| | - Eric Graf
- Chair of Chemical Reaction Engineering and Process Plants, Technische Universität Dresden, Dresden 01069, Germany
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7
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Kang Z, Yanzhong L, Gang L, Jiaojiao W, Fushou X, Yuan M. Numerical investigation on flow condensation process during interphase mixing in oxygen pipeline of liquid rocket. ASIA-PAC J CHEM ENG 2018. [DOI: 10.1002/apj.2235] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Zhu Kang
- State Key Laboratory of Technologies in Space Cryogenic Propellants; Beijing China
- Institute of Refrigerating and Cryogenic Engineering; Xi'an Jiaotong University; Xi'an China
| | - Li Yanzhong
- State Key Laboratory of Technologies in Space Cryogenic Propellants; Beijing China
- Institute of Refrigerating and Cryogenic Engineering; Xi'an Jiaotong University; Xi'an China
| | - Lei Gang
- State Key Laboratory of Technologies in Space Cryogenic Propellants; Beijing China
| | - Wang Jiaojiao
- Institute of Refrigerating and Cryogenic Engineering; Xi'an Jiaotong University; Xi'an China
| | - Xie Fushou
- Institute of Refrigerating and Cryogenic Engineering; Xi'an Jiaotong University; Xi'an China
| | - Ma Yuan
- Institute of Refrigerating and Cryogenic Engineering; Xi'an Jiaotong University; Xi'an China
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8
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Cai K, Song Y, Li J, Wang D, Yin J, Liu W, Li H. Pressure and Velocity Fluctuation in the Numerical Simulation of Bubble Detachment in a Venturi-Type Bubble Generator. NUCL TECHNOL 2018. [DOI: 10.1080/00295450.2018.1479575] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
Affiliation(s)
- Kangbei Cai
- Shanghai Jiao Tong University, School of Mechanical Engineering, 800 Dongchuan Road, Minhang District, Shanghai 200240, China
| | - Yuchen Song
- Shanghai Jiao Tong University, School of Mechanical Engineering, 800 Dongchuan Road, Minhang District, Shanghai 200240, China
| | - Jingjing Li
- Shanghai Jiao Tong University, School of Mechanical Engineering, 800 Dongchuan Road, Minhang District, Shanghai 200240, China
| | - Dezhong Wang
- Shanghai Jiao Tong University, School of Mechanical Engineering, 800 Dongchuan Road, Minhang District, Shanghai 200240, China
| | - Junlian Yin
- Shanghai Jiao Tong University, School of Mechanical Engineering, 800 Dongchuan Road, Minhang District, Shanghai 200240, China
| | - Wei Liu
- Chinese Academy of Sciences, Shanghai Institute of Applied Physics, Jiading Campus, Shanghai 201800, China
| | - Hua Li
- Chinese Academy of Sciences, Shanghai Institute of Applied Physics, Jiading Campus, Shanghai 201800, China
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9
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Xue X, Wang R, Lan L, Wang J, Xue Z, Jiang L. Reliable Manipulation of Gas Bubble Size on Superaerophilic Cones in Aqueous Media. ACS APPLIED MATERIALS & INTERFACES 2018; 10:5099-5106. [PMID: 29327912 DOI: 10.1021/acsami.7b17114] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Gas bubbles in aqueous media are ubiquitous in a broad range of applications. In most cases, the size of the bubbles must be manipulated precisely. However, it is very difficult to control the size of gas bubbles. The size of gas bubbles is affected by many factors both during and after the generation process. Thus, precise manipulation of gas bubble size still remains a great challenge. The ratchet and conical hairs of the Chinese brush enable it to realize a significant capacity for holding ink and transferring them onto paper continuously and controllably. Inspired by this, a superhydrophobic/superaerophilic cone interface is developed to manipulate gas bubble size in aqueous media. When the resultant force between the Laplace force and the axial component of the buoyancy force approaches zero, the gas bubble is held steadily by the superhydrophobic/superaerophilic copper cones in a unique position (balance position). A new kind of pressure sensor is also designed based on this principle.
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Affiliation(s)
- Xiuzhan Xue
- Key Laboratory of Bio-Inspired Smart Interfacial Science and Technology of Ministry of Education, School of Chemistry, Beihang University , Beijing 100191, P. R. China
| | - Ruixiao Wang
- Key Laboratory of Bio-Inspired Smart Interfacial Science and Technology of Ministry of Education, School of Chemistry, Beihang University , Beijing 100191, P. R. China
| | - Linwen Lan
- Key Laboratory of Bio-Inspired Smart Interfacial Science and Technology of Ministry of Education, School of Chemistry, Beihang University , Beijing 100191, P. R. China
| | - Jingming Wang
- Key Laboratory of Bio-Inspired Smart Interfacial Science and Technology of Ministry of Education, School of Chemistry, Beihang University , Beijing 100191, P. R. China
- Beijing Advanced Innovation Center for Biomedical Engineering, Beihang University , Beijing 100191, P. R. China
| | - Zhongxin Xue
- School of Chemistry and Materials Science, Ludong University , Yantai 264025, P. R. China
| | - Lei Jiang
- Key Laboratory of Bio-Inspired Smart Interfacial Science and Technology of Ministry of Education, School of Chemistry, Beihang University , Beijing 100191, P. R. China
- Beijing Advanced Innovation Center for Biomedical Engineering, Beihang University , Beijing 100191, P. R. China
- Laboratory of Bio-Inspired Smart Interface Science, Key Laboratory of Bio-Inspired Materials and Interfacial Science, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences , Beijing 100190, P. R. China
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10
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Huang Q, Li C. A theoretical model for bubble formation during horizontal gas injection into liquid flow in vertical tubes. J DISPER SCI TECHNOL 2017. [DOI: 10.1080/01932691.2017.1413654] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Qian Huang
- School of Petroleum Engineering, Chongqing University of Science and Technology, Chongqing, China
- School of Petroleum and Natural Gas Engineering, Southwest Petroleum University, Chengdu, China
| | - Changjun Li
- School of Petroleum and Natural Gas Engineering, Southwest Petroleum University, Chengdu, China
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11
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Lv P, Le The H, Eijkel J, Van den Berg A, Zhang X, Lohse D. Growth and Detachment of Oxygen Bubbles Induced by Gold-Catalyzed Decomposition of Hydrogen Peroxide. THE JOURNAL OF PHYSICAL CHEMISTRY. C, NANOMATERIALS AND INTERFACES 2017; 121:20769-20776. [PMID: 28983387 PMCID: PMC5623943 DOI: 10.1021/acs.jpcc.7b04994] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/23/2017] [Revised: 09/01/2017] [Indexed: 05/11/2023]
Abstract
Whereas bubble growth out of gas-oversatured solutions has been quite well understood, including the formation and stability of surface nanobubbles, this is not the case for bubbles forming on catalytic surfaces due to catalytic reactions, though it has important implications for gas evolution reactions and self-propulsion of micro/nanomotors fueled by bubble release. In this work we have filled this gap by experimentally and theoretically examining the growth and detachment dynamics of oxygen bubbles from hydrogen peroxide decomposition catalyzed by gold. We measured the bubble radius R(t) as a function of time by confocal microscopy and find R(t) ∝ t1/2. This diffusive growth behavior demonstrates that the bubbles grow from an oxygen-oversaturated environment. For several consecutive bubbles detaching from the same position in a short period of time, a well-repeated growing behavior is obtained from which we conclude the absence of noticeable depletion effect of oxygen from previous bubbles or increasing oversaturation from the gas production. In contrast, for two bubbles far apart either in space or in time, substantial discrepancies in their growth rates are observed, which we attribute to the variation in the local gas oversaturation. The current results show that the dynamical evolution of bubbles is influenced by comprehensive effects combining chemical catalysis and physical mass transfer. Finally, we find that the size of the bubbles at the moment of detachment is determined by the balance between buoyancy and surface tension and by the detailed geometry at the bubble's contact line.
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Affiliation(s)
- Pengyu Lv
- Physics
of Fluids group, Faculty of Science and Technology, Max Planck
- University of Twente Center for Complex Fluid Dynamics, MESA+ Institute,
and J. M. Burgers Centre for Fluid Dynamics, and The BIOS Lab-on-a-Chip group, Faculty
of Electrical Engineering, Max Planck - University of Twente Center
for Complex Fluid Dynamics, Mathematics and Computer Science, MESA+
Institute, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands
| | - Hai Le The
- Physics
of Fluids group, Faculty of Science and Technology, Max Planck
- University of Twente Center for Complex Fluid Dynamics, MESA+ Institute,
and J. M. Burgers Centre for Fluid Dynamics, and The BIOS Lab-on-a-Chip group, Faculty
of Electrical Engineering, Max Planck - University of Twente Center
for Complex Fluid Dynamics, Mathematics and Computer Science, MESA+
Institute, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands
| | - Jan Eijkel
- Physics
of Fluids group, Faculty of Science and Technology, Max Planck
- University of Twente Center for Complex Fluid Dynamics, MESA+ Institute,
and J. M. Burgers Centre for Fluid Dynamics, and The BIOS Lab-on-a-Chip group, Faculty
of Electrical Engineering, Max Planck - University of Twente Center
for Complex Fluid Dynamics, Mathematics and Computer Science, MESA+
Institute, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands
| | - Albert Van den Berg
- Physics
of Fluids group, Faculty of Science and Technology, Max Planck
- University of Twente Center for Complex Fluid Dynamics, MESA+ Institute,
and J. M. Burgers Centre for Fluid Dynamics, and The BIOS Lab-on-a-Chip group, Faculty
of Electrical Engineering, Max Planck - University of Twente Center
for Complex Fluid Dynamics, Mathematics and Computer Science, MESA+
Institute, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands
| | - Xuehua Zhang
- Physics
of Fluids group, Faculty of Science and Technology, Max Planck
- University of Twente Center for Complex Fluid Dynamics, MESA+ Institute,
and J. M. Burgers Centre for Fluid Dynamics, and The BIOS Lab-on-a-Chip group, Faculty
of Electrical Engineering, Max Planck - University of Twente Center
for Complex Fluid Dynamics, Mathematics and Computer Science, MESA+
Institute, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands
- Soft
Matter & Interfaces Group, School of Engineering, RMIT University, Melbourne VIC 3001, Australia
- E-mail:
| | - Detlef Lohse
- Physics
of Fluids group, Faculty of Science and Technology, Max Planck
- University of Twente Center for Complex Fluid Dynamics, MESA+ Institute,
and J. M. Burgers Centre for Fluid Dynamics, and The BIOS Lab-on-a-Chip group, Faculty
of Electrical Engineering, Max Planck - University of Twente Center
for Complex Fluid Dynamics, Mathematics and Computer Science, MESA+
Institute, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands
- Max
Planck Institute for Dynamics and Self-Organization, 37077 Goettingen, Germany
- E-mail:
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12
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Balzán MA, Sanders RS, Fleck BA. Bubble formation regimes during gas injection into a liquid cross flow in a conduit. CAN J CHEM ENG 2016. [DOI: 10.1002/cjce.22680] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Miguel A. Balzán
- Department of Mechanical Engineering; University of Alberta; Edmonton AB T6G 2G8 Canada
| | - R. Sean Sanders
- Department of Chemical and Materials Engineering; University of Alberta; University of Alberta; Edmonton AB T6G 2G8 Canada
| | - Brian A. Fleck
- Department of Mechanical Engineering; University of Alberta; Edmonton AB T6G 2G8 Canada
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13
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Wang G, Sathe M, Mitra S, Jameson GJ, Evans GM. Detachment of a bubble anchored to a vertical cylindrical surface in quiescent liquid and grid generated turbulence. CAN J CHEM ENG 2014. [DOI: 10.1002/cjce.22085] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Guichao Wang
- School of Engineering; The University of Newcastle; Callaghan NSW 2308 Australia
| | - Mayur Sathe
- School of Engineering; The University of Newcastle; Callaghan NSW 2308 Australia
| | - Subhasish Mitra
- School of Engineering; The University of Newcastle; Callaghan NSW 2308 Australia
| | - Graeme J. Jameson
- School of Engineering; The University of Newcastle; Callaghan NSW 2308 Australia
| | - Geoffrey M. Evans
- School of Engineering; The University of Newcastle; Callaghan NSW 2308 Australia
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14
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An experimental and theoretical study on the size of bubbles formed between a rotating disc and a stationary wall. Chem Eng Sci 2014. [DOI: 10.1016/j.ces.2014.02.007] [Citation(s) in RCA: 8] [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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15
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LIU C, LIANG B, TANG S, MIN E. Effects of Orifice Orientation and Gas-Liquid Flow Pattern on Initial Bubble Size. Chin J Chem Eng 2013. [DOI: 10.1016/s1004-9541(13)60630-8] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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16
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A Theoretical Model for the Size Prediction of Single Bubbles Formed under Liquid Cross-flow. Chin J Chem Eng 2010. [DOI: 10.1016/s1004-9541(09)60128-2] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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18
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Timgren A, Trägårdh G, Trägårdh C. A model for drop size prediction during cross-flow emulsification. Chem Eng Res Des 2010. [DOI: 10.1016/j.cherd.2009.08.005] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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19
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Martín M, Montes FJ, Galán MA. Bubbling process in stirred tank reactors I: Agitator effect on bubble size, formation and rising. Chem Eng Sci 2008. [DOI: 10.1016/j.ces.2008.03.028] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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21
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Hernandez-Aguilar JR, Cunningham R, Finch JA. A test of the Tate equation to predict bubble size at an orifice in the presence of frother. ACTA ACUST UNITED AC 2006. [DOI: 10.1016/j.minpro.2005.12.003] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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22
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Kulkarni AA, Joshi JB. Bubble Formation and Bubble Rise Velocity in Gas−Liquid Systems: A Review. Ind Eng Chem Res 2005. [DOI: 10.1021/ie049131p] [Citation(s) in RCA: 498] [Impact Index Per Article: 26.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Amol A. Kulkarni
- Institute of Chemical Technology, University of Mumbai, Matunga, Mumbai-400 019, India
| | - Jyeshtharaj B. Joshi
- Institute of Chemical Technology, University of Mumbai, Matunga, Mumbai-400 019, India
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