Segregation of binary particles in gas-solid fluidized bed
Yaxiong Yu1, Feng Lu1, Xuan He2, Fei Wei1,3, Chenxi Zhang1,3,4()
1. Beijing Key Laboratory of Green Chemical Reaction Engineering and Technology, Department of Chemical Engineering, Tsinghua University, Beijing 100084, China 2. School of Chemical Engineering and Technology, Xi’an Jiaotong University, Xi’an 710049, China 3. Ordos Laboratory, Ordos 017010, China 4. Institute for Carbon Neutrality, Tsinghua University, Beijing 100084, China
Particle segregation and mixing behavior play a crucial role in industrial processes. This study investigates the saturated jetsam fraction, which indicates the maximum capacity of flotsam to entrain jetsam, in an initially separated binary fluidized bed with particle size differences. According to the value of saturated jetsam fraction, three distinct regimes—segregation, mixing, and an intermediate regime—are identified. Moreover, intriguing relationships between the saturated jetsam fraction and superficial gas velocity are observed, exhibiting monotonic trends in both the segregation and mixing regimes, while a unique volcano-shaped curve in the intermediate regime. Additionally, a comprehensive entrainment model based on two-fluid model elucidates the observed phenomena, emphasizing the significance of mixing behavior in fluidized layer on the saturated jetsam fraction. This work offers potential insights for evaluating segregation in industrial applications.
N Burtally , P King , M R Swift . Spontaneous air-driven separation in vertically vibrated fine granular mixtures. Science, 2002, 295(5561): 1877–1879 https://doi.org/10.1126/science.1066850
2
J Javier Brey , F Moreno , R Garcia-Rojo , M J Ruiz-Montero . Hydrodynamic maxwell demon in granular systems. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 2001, 65(1): 011305 https://doi.org/10.1103/PhysRevE.65.011305
3
C P McLaren , T M Kovar , A Penn , C R Müller , C M Boyce . Gravitational instabilities in binary granular materials. Proceedings of the National Academy of Sciences of the United States of America, 2019, 116(19): 9263–9268 https://doi.org/10.1073/pnas.1820820116
4
J E Galvin , S R Dahl , C M Hrenya . On the role of non-equipartition in the dynamics of rapidly flowing granular mixtures. Journal of Fluid Mechanics, 2005, 528: 207–232 https://doi.org/10.1017/S002211200400326X
5
Y Yu , F Lu , H Bai , F Wei , C Zhang . Discovery of asymmetric distribution of fine particles in fluidization using signal deflection reconstruction measurement. Chemical Engineering Science, 2024, 285: 119564 https://doi.org/10.1016/j.ces.2023.119564
6
Z Jiang , T Tsuji , J Oshitani , K Washino , T Tanaka . Reverse to forward density segregation depending on gas inflow velocity in vibrated fluidized beds. Physics of Fluids, 2023, 35(3): 033313 https://doi.org/10.1063/5.0138556
7
F P Di Maio , A Di Renzo , V Vivacqua . Extension and validation of the particle segregation model for bubbling gas-fluidized beds of binary mixtures. Chemical Engineering Science, 2013, 97: 139–151 https://doi.org/10.1016/j.ces.2013.04.012
8
Y Yu , F Lu , H Bai , F Wei , C Zhang . Effect of fines addition on heat transfer performance in gas-solid fluidized bed: an integrated experimental, simulation, and theoretical study. Chemical Engineering Journal, 2023, 476: 146806 https://doi.org/10.1016/j.cej.2023.146806
9
B Du , L S Fan , F Wei , W Warsito . Gas and solids mixing in a turbulent fluidized bed. AIChE Journal, 2002, 48(9): 1896–1909 https://doi.org/10.1002/aic.690480907
10
J L P Chen , D L Keairns . Particle segregation in a fluidized bed. Canadian Journal of Chemical Engineering, 1975, 53(4): 395–402 https://doi.org/10.1002/cjce.5450530407
11
F Duan , L Zhao , X Chen , Q Zhou . Fluid-particle drag and particle-particle drag in low-reynolds-number bidisperse gas-solid suspensions. Physics of Fluids, 2020, 32(11): 113311 https://doi.org/10.1063/5.0023874
12
M Mehrabadi , S Tenneti , S Subramaniam . Importance of the fluid-particle drag model in predicting segregation in bidisperse gas-solid flow. International Journal of Multiphase Flow, 2016, 86: 99–114 https://doi.org/10.1016/j.ijmultiphaseflow.2016.07.006
F Duan , Y Yu , X Chen , Q Zhou . Particle-particle drag force in inertial bidisperse gas-particle suspensions. Journal of Fluid Mechanics, 2022, 952: A11 https://doi.org/10.1017/jfm.2022.874
16
K Shi , M He , L Zhang , B Zhao , J Wang . Critical comparison of polydisperse kinetic theories using bidisperse dem data. Chemical Engineering Science, 2022, 263: 118062 https://doi.org/10.1016/j.ces.2022.118062
17
A Hoffmann , L Janssen , J Prins . Particle segregation in fluidised binary mixtures. Chemical Engineering Science, 1993, 48(9): 1583–1592 https://doi.org/10.1016/0009-2509(93)80118-A
D Kunii , O Levenspiel . Bubbling bed model. Model for flow of gas through a fluidized bed. Industrial & Engineering Chemistry Fundamentals, 1968, 7(3): 446–452 https://doi.org/10.1021/i160027a016
20
L T Fan , Y Chang . Mixing of large particles in two-dimensional gas fluidized beds. Canadian Journal of Chemical Engineering, 1979, 57(1): 88–97 https://doi.org/10.1002/cjce.5450570114
21
H Moritomi , T Yamagishi , T Chiba . Prediction of complete mixing of liquid-fluidized binary solid particles. Chemical Engineering Science, 1986, 41(2): 297–305 https://doi.org/10.1016/0009-2509(86)87010-5
22
J W Chew , C M Hrenya . Link between bubbling and segregation patterns in gas-fluidized beds with continuous size distributions. AIChE Journal, 2011, 57(11): 3003–3011 https://doi.org/10.1002/aic.12507
23
J W Chew , J R Wolz , C M Hrenya . Axial segregation in bubbling gas-fluidized beds with gaussian and lognormal distributions of geldart group B particles. AIChE Journal, 2010, 56(12): 3049–3061 https://doi.org/10.1002/aic.12219
24
D Geldart , J Baeyens , D Pope , P Van De Wijer . Segregation in beds of large particles at high velocities. Powder Technology, 1981, 30(2): 195–205 https://doi.org/10.1016/0032-5910(81)80012-5
25
B Formisani , R Girimonte , T Longo . The fluidization process of binary mixtures of solids: development of the approach based on the fluidization velocity interval. Powder Technology, 2008, 185(2): 97–108 https://doi.org/10.1016/j.powtec.2007.10.003
26
G Olivieri , A Marzocchella , P Salatino . Segregation of fluidized binary mixtures of granular solids. AIChE Journal, 2004, 50(12): 3095–3106 https://doi.org/10.1002/aic.10340
27
A Marzocchella , P Salatino , V Di Pastena , L Lirer . Transient fluidization and segregation of binary mixtures of particles. AIChE Journal, 2000, 46(11): 2175–2182 https://doi.org/10.1002/aic.690461110
28
A Rao , J S Curtis , B C Hancock , C Wassgren . Classifying the fluidization and segregation behavior of binary mixtures using particle size and density ratios. AIChE Journal, 2011, 57(6): 1446–1458 https://doi.org/10.1002/aic.12371
29
C Zhang , P Li , C Lei , W Qian , F Wei . Experimental study of non-uniform bubble growth in deep fluidized beds. Chemical Engineering Science, 2018, 176: 515–523 https://doi.org/10.1016/j.ces.2017.10.006
G I Taylor . The formation of a blast wave by a very intense explosion i: theoretical discussion. Proceedings of the Royal Society of London Series A: Mathematical and Physical Sciences, 1950, 201(1065): 159–174 https://doi.org/10.1098/rspa.1950.0049
32
G I Taylor . The formation of a blast wave by a very intense explosion. ii. The atomic explosion of 1945. Proceedings of the Royal Society of London Series A: Mathematical and Physical Sciences, 1950, 201(1065): 175–186 https://doi.org/10.1098/rspa.1950.0050
33
M A Avillez , M M Mac Low . Mushroom-shaped structures as tracers of buoyant flow in the galactic disk. Astrophysical Journal, 2001, 551(1): L57–L61 https://doi.org/10.1086/319842
34
Y A Alghamdi , Z Peng , Z Almutairi , H Alibrahim , F M Al-Alweet , B Moghtaderi , E Doroodchi . Assessment of correlations for minimum fluidization velocity of binary mixtures of particles in gas fluidized beds. Powder Technology, 2021, 394: 1231–1239 https://doi.org/10.1016/j.powtec.2021.09.035
35
R Andreux , T Gauthier , J Chaouki , O Simonin . New description of fluidization regimes. AIChE Journal, 2005, 51(4): 1125–1130 https://doi.org/10.1002/aic.10380
