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1
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Nedeltchev S, Katerla J, Basiak E. Novel Hybrid Methods for Identifying the Main Transition Velocities in Various Bubble Columns. JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 2022. [DOI: 10.1252/jcej.21we082] [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)
| | - Jakub Katerla
- Institute of Chemical Engineering, Polish Academy of Sciences
| | - Ewelina Basiak
- Institute of Chemical Engineering, Polish Academy of Sciences
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2
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Analysis of the flow pattern and periodicity of gas–liquid–liquid three-phase flow in a countercurrent mixer-settler. Chin J Chem Eng 2021. [DOI: 10.1016/j.cjche.2021.10.001] [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]
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3
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Laupsien D, Men CL, Cockx A, Liné A. Effects of liquid viscosity and bubble size distribution on bubble plume hydrodynamics. Chem Eng Res Des 2021. [DOI: 10.1016/j.cherd.2021.09.025] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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4
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Mathematical Methodology and Metallurgical Application of Turbulence Modelling: A Review. METALS 2021. [DOI: 10.3390/met11081297] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
This paper focusses on three main numerical methods, i.e., the Reynolds-Averaged Navier-Stokes (RANS), Large Eddy Simulation (LES), and Direct Numerical Simulation (DNS) methods. The formulation and variation of different RANS methods are evaluated. The advantage and disadvantage of RANS models to characterize turbulent flows are discussed. The progress of LES with different subgrid scale models is presented. Special attention is paid to the inflow boundary condition for LES modelling. Application and limitation of the DNS model are described. Different experimental techniques for model validation are given. The consistency between physical experimentation/modelling and industrial cases is discussed. An emphasis is placed on the model validation through physical experimentation. Subsequently, the application of a turbulence model for three specific flow problems commonly encountered in metallurgical process, i.e., bubble-induced turbulence, supersonic jet transport, and electromagnetic suppression of turbulence, is discussed. Some future perspectives for the simulation of turbulent flow are formulated.
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5
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Laupsien D, Cockx A, Liné A. The organized flow structure of an oscillating bubble plume. AIChE J 2021. [DOI: 10.1002/aic.17334] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- David Laupsien
- TBI, University of Toulouse, CNRS, INRA, INSA Toulouse France
| | - Arnaud Cockx
- TBI, University of Toulouse, CNRS, INRA, INSA Toulouse France
| | - Alain Liné
- TBI, University of Toulouse, CNRS, INRA, INSA Toulouse France
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6
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Affiliation(s)
- Xiaoping Guan
- State Key Laboratory of Multi‐phase Complex System, Institute of Process Engineering Chinese Academy of Sciences Beijing China
- Innovation Academy for Green Manufacture Chinese Academy of Sciences Beijing China
| | - Ning Yang
- State Key Laboratory of Multi‐phase Complex System, Institute of Process Engineering Chinese Academy of Sciences Beijing China
- School of Chemical Engineering University of Chinese Academy of Sciences Beijing China
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7
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Reliable identification of the first transition velocity in various bubble columns based on accurate sophisticated methods. Chem Eng Res Des 2021. [DOI: 10.1016/j.cherd.2020.11.013] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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8
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9
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Liu L, Keplinger O, Ma T, Ziegenhein T, Shevchenko N, Eckert S, Yan H, Lucas D. Euler-Euler simulation and X-ray measurement of bubble chain in a shallow container filled with liquid metals. Chem Eng Sci 2018. [DOI: 10.1016/j.ces.2018.07.034] [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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10
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Effect of bed thickness on a pseudo 2D gas-solid fluidized bed turbulent flow structures and dynamics. POWDER TECHNOL 2018. [DOI: 10.1016/j.powtec.2018.06.028] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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11
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Singh BK, Quiyoom A, Buwa VV. Dynamics of gas–liquid flow in a cylindrical bubble column: Comparison of electrical resistance tomography and voidage probe measurements. Chem Eng Sci 2017. [DOI: 10.1016/j.ces.2016.10.006] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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12
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Zhang X, Guo K, Qi W, Zhang T, Liu C. Gas holdup, bubble behaviour, and mass transfer characteristics in a two-stage internal loop airlift reactor with different screens. CAN J CHEM ENG 2017. [DOI: 10.1002/cjce.22767] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Xiaobo Zhang
- School of Chemical Engineering and Technology; Tianjin University; Tianjin 300072 P. R. China
- State Key Laboratory of Chemical Engineering; Tianjin University; Tianjin 300072 P. R. China
| | - Kai Guo
- School of Chemical Engineering and Technology; Tianjin University; Tianjin 300072 P. R. China
- State Key Laboratory of Chemical Engineering; Tianjin University; Tianjin 300072 P. R. China
| | - Wenzhe Qi
- School of Chemical Engineering and Technology; Tianjin University; Tianjin 300072 P. R. China
- State Key Laboratory of Chemical Engineering; Tianjin University; Tianjin 300072 P. R. China
| | - Ting Zhang
- School of Chemical Engineering and Technology; Tianjin University; Tianjin 300072 P. R. China
- State Key Laboratory of Chemical Engineering; Tianjin University; Tianjin 300072 P. R. China
| | - Chunjiang Liu
- School of Chemical Engineering and Technology; Tianjin University; Tianjin 300072 P. R. China
- State Key Laboratory of Chemical Engineering; Tianjin University; Tianjin 300072 P. R. China
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13
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Lungu M, Wang H, Wang J, Yang Y, Chen F. Two-Fluid Model Simulations of the National Energy Technology Laboratory Bubbling Fluidized Bed Challenge Problem. Ind Eng Chem Res 2016. [DOI: 10.1021/acs.iecr.5b04511] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Musango Lungu
- State Key
Laboratory of Chemical
Engineering, College of Chemical and Biological Engineering, Zhejiang University, Hangzhou 310027, China
| | - Haotong Wang
- State Key
Laboratory of Chemical
Engineering, College of Chemical and Biological Engineering, Zhejiang University, Hangzhou 310027, China
| | - Jingdai Wang
- State Key
Laboratory of Chemical
Engineering, College of Chemical and Biological Engineering, Zhejiang University, Hangzhou 310027, China
| | - Yongrong Yang
- State Key
Laboratory of Chemical
Engineering, College of Chemical and Biological Engineering, Zhejiang University, Hangzhou 310027, China
| | - Fengqiu Chen
- State Key
Laboratory of Chemical
Engineering, College of Chemical and Biological Engineering, Zhejiang University, Hangzhou 310027, China
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14
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Wang A, Marashdeh Q, Fan LS. ECVT imaging of 3D spiral bubble plume structures in gas-liquid bubble columns. CAN J CHEM ENG 2014. [DOI: 10.1002/cjce.22070] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Aining Wang
- William G. Lowrie Department of Chemical and Biomolecular Engineering; Ohio State University; Columbus OH 43210 USA
| | - Qussai Marashdeh
- William G. Lowrie Department of Chemical and Biomolecular Engineering; Ohio State University; Columbus OH 43210 USA
| | - Liang-Shih Fan
- William G. Lowrie Department of Chemical and Biomolecular Engineering; Ohio State University; Columbus OH 43210 USA
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15
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LI S, MA Y, ZHU C, FU T, LI H. Turbulent Characteristic of Liquid Around a Chain of Bubbles in Non-Newtonian Fluid. Chin J Chem Eng 2012. [DOI: 10.1016/s1004-9541(12)60413-3] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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16
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Sun J, Wang J, Yang Y. CFD investigation of particle fluctuation characteristics of bidisperse mixture in a gas–solid fluidized bed. Chem Eng Sci 2012. [DOI: 10.1016/j.ces.2012.07.022] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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17
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18
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Huang ZB, Cheng ZM. Determination of Liquid Multiscale Circulation Structure in a Bubble Column by Tracing the Liquid Flowing Trajectory. Ind Eng Chem Res 2011. [DOI: 10.1021/ie200859q] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Zi-Bin Huang
- State Key Laboratory of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, P. R. China
| | - Zhen-Min Cheng
- State Key Laboratory of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, P. R. China
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19
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Singh J, Garg MO, Nanoti SM. Comparison of Flow Patterns in a Visbreaking Soaker Drum with Two Different Sieve Tray Internals. Ind Eng Chem Res 2011. [DOI: 10.1021/ie200671k] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Jasvinder Singh
- Indian Institute of Petroleum, Dehradun 248005, Uttaranchal India
| | - M. O. Garg
- Indian Institute of Petroleum, Dehradun 248005, Uttaranchal India
| | - S. M. Nanoti
- Indian Institute of Petroleum, Dehradun 248005, Uttaranchal India
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20
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21
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Kashyap M, Gidaspow D, Koves WJ. Circulation of Geldart D type particles: Part I – High solids fluxes. Measurements and computation under solids slugging conditions. Chem Eng Sci 2011. [DOI: 10.1016/j.ces.2010.10.012] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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22
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Hanafizadeh P, Saidi MH, Karimi A, Zamiri A. Effect of Bubble Size and Angle of Tapering Upriser Pipe on the Performance of Airlift Pumps. PARTICULATE SCIENCE AND TECHNOLOGY 2010. [DOI: 10.1080/02726351.2010.496300] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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23
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24
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Chen W, Tsutsumi A, Otawara K, Shigaki Y. Local Bubble Dynamics and Macroscopic Flow Structure in Bubble Columns with Different Scales. CAN J CHEM ENG 2008. [DOI: 10.1002/cjce.5450810603] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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25
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Olmos E, Gentric C, Midoux N. Identification of Flow Regimes in a Flat Gas-liquid Bubble Column via Wavelet Transform. CAN J CHEM ENG 2008. [DOI: 10.1002/cjce.5450810307] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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26
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Thet MK, Wang CH, Tan RBH. Experimental Studies of Hydrodynamics and Regime Transition in Bubble Columns. CAN J CHEM ENG 2008. [DOI: 10.1002/cjce.5450840110] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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27
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Jiradilok V, Gidaspow D, Breault RW, Shadle LJ, Guenther C, Shi S. Computation of turbulence and dispersion of cork in the NETL riser. Chem Eng Sci 2008. [DOI: 10.1016/j.ces.2008.01.019] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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28
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Influence of hydrodynamics and probe response on oxygen mass transfer measurements in a high aspect ratio bubble column reactor: Effect of the coalescence behaviour of the liquid phase. Biochem Eng J 2008. [DOI: 10.1016/j.bej.2007.08.011] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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29
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Hu G, Celik I. Eulerian–Lagrangian based large-eddy simulation of a partially aerated flat bubble column. Chem Eng Sci 2008. [DOI: 10.1016/j.ces.2007.09.015] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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30
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31
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Hydrodynamic characterization of a needle sparger rectangular bubble column: Homogeneous flow, static bubble plume and oscillating bubble plume. Chem Eng Sci 2007. [DOI: 10.1016/j.ces.2007.07.055] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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32
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Balleda A, Pushpavanam S, Deshpande A. Experimental and numerical investigation of liquid circulation induced by a bubble plume in a baffled tank. Chem Eng Sci 2007. [DOI: 10.1016/j.ces.2007.05.023] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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33
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Kulkarni AA, Deshpande SS, Joshi JB, Ravi Kumar V, Kulkarni BD. Effect of Sparger Design on the Flow in a Bubble Column: Symbolic Analysis of LDA Data. Ind Eng Chem Res 2006. [DOI: 10.1021/ie060778e] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- A. A. Kulkarni
- Institute of Chemical Technology, University of Mumbai, Matunga, Mumbai−400019, India, and Chemical Engineering and Process Development Division, National Chemical Laboratory, Pune−411008, India
| | - S. S. Deshpande
- Institute of Chemical Technology, University of Mumbai, Matunga, Mumbai−400019, India, and Chemical Engineering and Process Development Division, National Chemical Laboratory, Pune−411008, India
| | - J. B. Joshi
- Institute of Chemical Technology, University of Mumbai, Matunga, Mumbai−400019, India, and Chemical Engineering and Process Development Division, National Chemical Laboratory, Pune−411008, India
| | - V. Ravi Kumar
- Institute of Chemical Technology, University of Mumbai, Matunga, Mumbai−400019, India, and Chemical Engineering and Process Development Division, National Chemical Laboratory, Pune−411008, India
| | - B. D. Kulkarni
- Institute of Chemical Technology, University of Mumbai, Matunga, Mumbai−400019, India, and Chemical Engineering and Process Development Division, National Chemical Laboratory, Pune−411008, India
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34
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Díaz ME, Montes FJ, Galán MA. Influence of Aspect Ratio and Superficial Gas Velocity on the Evolution of Unsteady Flow Structures and Flow Transitions in a Rectangular Two-Dimensional Bubble Column. Ind Eng Chem Res 2006. [DOI: 10.1021/ie060466b] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- M. Elena Díaz
- Departamento de Ingeniería Química y Textil, University of Salamanca, Plaza de los Caídos 1-5, 37008, Salamanca, Spain
| | - Francisco J. Montes
- Departamento de Ingeniería Química y Textil, University of Salamanca, Plaza de los Caídos 1-5, 37008, Salamanca, Spain
| | - Miguel A. Galán
- Departamento de Ingeniería Química y Textil, University of Salamanca, Plaza de los Caídos 1-5, 37008, Salamanca, Spain
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35
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Jiradilok V, Gidaspow D, Damronglerd S, Koves WJ, Mostofi R. Kinetic theory based CFD simulation of turbulent fluidization of FCC particles in a riser. Chem Eng Sci 2006. [DOI: 10.1016/j.ces.2006.04.006] [Citation(s) in RCA: 161] [Impact Index Per Article: 8.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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36
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Rafique M, Duduković MP. INFLUENCE OF DIFFERENT CLOSURES ON THE HYDRODYNAMICS OF BUBBLE COLUMN FLOWS. CHEM ENG COMMUN 2006. [DOI: 10.1080/009864490923448] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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37
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Degaleesan S, Dudukovic M, Pan Y. Experimental study of gas-induced liquid-flow structures in bubble columns. AIChE J 2006. [DOI: 10.1002/aic.690470904] [Citation(s) in RCA: 154] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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38
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39
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Oey RS, Mudde RF, van den Akker HEA. Sensitivity study on interfacial closure laws in two-fluid bubbly flow simulations. AIChE J 2006. [DOI: 10.1002/aic.690490703] [Citation(s) in RCA: 72] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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40
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Matonis D, Gidaspow D, Bahary M. CFD simulation of flow and turbulence in a slurry bubble column. AIChE J 2006. [DOI: 10.1002/aic.690480706] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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41
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Pan Y, Dudukovic MP, Chang M. Numerical investigation of gas-driven flow in 2-D bubble columns. AIChE J 2006. [DOI: 10.1002/aic.690460303] [Citation(s) in RCA: 96] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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42
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Sundaresan S. Modeling the hydrodynamics of multiphase flow reactors: Current status and challenges. AIChE J 2006. [DOI: 10.1002/aic.690460602] [Citation(s) in RCA: 169] [Impact Index Per Article: 9.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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43
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Ekambara K, Dhotre MT, Joshi JB. CFD simulations of bubble column reactors: 1D, 2D and 3D approach. Chem Eng Sci 2005. [DOI: 10.1016/j.ces.2005.05.047] [Citation(s) in RCA: 100] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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44
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45
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Jakobsen HA, Lindborg H, Dorao CA. Modeling of Bubble Column Reactors: Progress and Limitations. Ind Eng Chem Res 2005. [DOI: 10.1021/ie049447x] [Citation(s) in RCA: 218] [Impact Index Per Article: 11.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Hugo A. Jakobsen
- Department of Chemical Engineering, Norwegian University of Science and Technology, NTNU, Sem Sælands vei 4, NO-7491 Trondheim, Norway
| | - Håvard Lindborg
- Department of Chemical Engineering, Norwegian University of Science and Technology, NTNU, Sem Sælands vei 4, NO-7491 Trondheim, Norway
| | - Carlos A. Dorao
- Department of Chemical Engineering, Norwegian University of Science and Technology, NTNU, Sem Sælands vei 4, NO-7491 Trondheim, Norway
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Jung J, Gidaspow D, Gamwo IK. Measurement of Two Kinds of Granular Temperatures, Stresses, and Dispersion in Bubbling Beds. Ind Eng Chem Res 2005. [DOI: 10.1021/ie0496838] [Citation(s) in RCA: 128] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Jonghwun Jung
- Department of Chemical and Environmental Engineering, Illinois Institute of Technology, Chicago, Illinois 60616
| | - Dimitri Gidaspow
- Department of Chemical and Environmental Engineering, Illinois Institute of Technology, Chicago, Illinois 60616
| | - Isaac K. Gamwo
- National Energy Technology Laboratory, U.S. Department of Energy, Pittsburgh, Pennsylvania 15236
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48
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Gidaspow D, Jung J, Singh RK. Hydrodynamics of fluidization using kinetic theory: an emerging paradigm. POWDER TECHNOL 2004. [DOI: 10.1016/j.powtec.2004.09.025] [Citation(s) in RCA: 174] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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49
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Cui Z, Fan LS. Energy Spectra for Interactive Turbulence Fields in a Bubble Column. Ind Eng Chem Res 2004. [DOI: 10.1021/ie049440f] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Zhe Cui
- Department of Chemical and Biochemical Engineering, The Ohio State University, 140 West 19th Avenue, Columbus, Ohio 43210
| | - L. S. Fan
- Department of Chemical and Biochemical Engineering, The Ohio State University, 140 West 19th Avenue, Columbus, Ohio 43210
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50
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Cui Z, Fan L. Turbulence energy distributions in bubbling gas–liquid and gas–liquid–solid flow systems. Chem Eng Sci 2004. [DOI: 10.1016/j.ces.2004.01.031] [Citation(s) in RCA: 54] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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