THE MIXING AND SEGREGATION OF BINARY PARTICLES TRANSPORTATION IN VERTICAL PIPE

Zhang Yan; Ren Wanlong; Zhang Xuhui; Lu Xiaobing

doi:10.6052/0459-1879-23-020

Volume 55 Issue 7

Jul. 2023

Turn off MathJax

Article Contents

Abstract

References

Chinese Journal of Theoretical and Applied Mechanics > 2023 > 55(7): 1582-1592. > DOI: 10.6052/0459-1879-23-020 CSTR: 32045.14.0459-1879-23-020

Zhang Yan, Ren Wanlong, Zhang Xuhui, Lu Xiaobing. The mixing and segregation of binary particles transportation in vertical pipe. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(7): 1582-1592. DOI: 10.6052/0459-1879-23-020

Citation:

PDF (3176 KB)

THE MIXING AND SEGREGATION OF BINARY PARTICLES TRANSPORTATION IN VERTICAL PIPE

Zhang Yan^*,
Ren Wanlong^{*, †},
Zhang Xuhui^{*, †, ,},
Lu Xiaobing^{*, †}

*.
Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
†.
School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China

Received Date: January 15, 2023
Accepted Date: April 09, 2023
Available Online: April 10, 2023

Graphical Abstract

Abstract

Abstract

The development of deep-sea resources has attracted the attention of various countries in recent years where the mineral resources is an important part. This paper considers the internal flow in hydraulic conveying during the deep-sea mining, which is characterized by wide particle gradation and high particle volume concentration. The wide particle gradation will lead to the particle mixing and segregation, which may result in high local particle concentration. The mixing and segregation of binary particles transportation in vertical pipe is investigated based on the computational fluid dynamics-discrete element method (CFD-DEM). A virtual mass distribution function method is proposed for calculating the coarse particle volume fraction field. In addition, a weighted function method relating the particle size is given for the interpolation between the Eulerian and Lagrangian field. The two models are implanted in the open source code CFDEM based on the based on the C++ programming language. Then, the numerical method is verified by comparing the pressure drop and the minimum fluidization velocity of a fluidized bed case between the simulation results and analytical results. The study found that the mixing and segregation of binary particles will cause a gap between the front mixing area and the no-mixing area at the rear. The local particle concentration and the particle collision frequency increase also increased significantly. The particle collision stress and fluid-particle interaction stress are given, which are the ratios of unit particle collision force and unit fluid drag force to unit particle buoyant force, respectively, to explain the particle segregation mechanism. The particle mixing stage makes the particle collision stress increasing. Therefore, the moment from initial mixing to complete separation can be determined by the particle collision stress curve. In addition, the difference of fluid-particle interaction stress between the binary particle results the particle segregation because the fluid-solid interaction stress of fine particles is always greater than that of the coarse particles.
- vertical pipe,
- coarse particles,
- particle segregation,
- CFD-DEM

FullText(HTML)

References (31)

References

[1]	康娅娟, 王长伟, 刘少军等. 深海多金属结核商业开采水下垂直提升方案. 中国有色金属学报, 2021, 31(10): 2938-2952 (Tang Yajuan, Wang Changwei, Liu Shaojun, et al. Underwater vertical lifting scheme for commercial mining of deep-sea polymetallic nodules. The Chinese Journal of Nonferrous Metals, 2021, 31(10): 2938-2952 (in Chinese) Tang Yajuan, Wang Changwei, Liu Shaojun, et al. Underwater vertical lifting scheme for commercial mining of deep-sea polymetallic nodules. The Chinese Journal of Nonferrous Metals, 2021, 31(10): 2938-2952 (in Chinese)
[2]	Zhang Y, Lu XB, Zhang XH. Numerical simulation on transportation behavior of dense coarse particles in vertical pipe with an optimized Eulerian−Lagrangian method. Physics of Fluids, 2022, 34(3): 033305 doi: 10.1063/5.0084263
[3]	Zhou MM, Wang SA, Kuang SB, et al. CFD-DEM modelling of hydraulic conveying of solid particles in a vertical pipe. Powder Technology, 2019, 354: 893-905
[4]	夏建新, 倪晋仁, 黄家桢. 粗颗粒物料在垂直管流中的滞留效应. 矿冶工程, 2020, 22(3): 37-40 (Xia jianxin, Ni Jinren, Huang Jiazhen. Lagging effect of coarse materials in vertical pipe flow. Mining and Metallurgical Engineering, 2020, 22(3): 37-40 (in Chinese) doi: 10.1016/j.powtec.2019.07.015 Xia jianxin, Ni Jinren, Huang Jiazhen. Lagging effect of coarse materials in vertical pipe flow. Mining and Metallurgical Engineering, 2002, 22(03): 37-40 (in Chinese) doi: 10.1016/j.powtec.2019.07.015
[5]	Van Wijk J, Talmon A, Van Rhee C. Stability of vertical hydraulic transport processes for deep ocean mining: An experimental study. Ocean Engineering, 2016, 125: 203-213
[6]	宋跃文, 朱小军, 唐达生. 垂直提升管道中粗颗粒滑移速度试验研究. 矿冶工程, 2016, 36: 5-7 (Song Yuewen, Zhu Xiaojun, and Tang Dasheng. Experimental study on slip velocity of coarse particles in vertical lifting pipe. Mining and Metallurgical Engineering, 2016, 36: 5-7 (in Chinese) doi: 10.1016/j.oceaneng.2016.08.018 Song Yuewen, Zhu Xiaojun, and Tang Dasheng. Experimental study on slip velocity of coarse particles in vertical lifting pipe. Mining and Metallurgical Engineering, 2016, 36(04): 5-7 (in Chinese) doi: 10.1016/j.oceaneng.2016.08.018
[7]	杨建民, 刘磊, 吕海宁等. 我国深海矿产资源开发装备研发现状与展望. 中国工程科学, 2020, 22(6): 1-9 (Yang Jianmin, Liu Lei, Lv Haining, et al. Deep-sea mining equipment in china: current status and prospect. Strategic Study of CAE, 2020, 22(6): 1-9 (in Chinese) Yang Jianmin, Liu Lei, Lv Haining, et al. Deep-sea mining equipment in china: current status and prospect. Strategic Study of CAE, 22(06): 1-9. (in Chinese)
[8]	Li DY, Marchisio D, Hasse C, et al. twoWayGPBEFoam: An open-source Eulerian QBMM solver for monokinetic bubbly flows. Computer Physics Communications, 2020, 250: 107036 doi: 10.1016/j.cpc.2019.107036
[9]	Dai Y, Zhang YL, Li XY. Numerical and experimental investigations on pipeline internal solid-liquid mixed fluid for deep ocean mining. Ocean Engineering, 2021, 220: 108411
[10]	刘磊. 深海采矿水力提升固液两相流动力学特性研究. [博士论文]. 上海: 上海交通大学, 2019 Liu Lei. Research on dynamic performance of solid-liquid two-phase flow in hydraulic transport in deep sea mining. [PhD Thesis]. ShangHai: ShangHai Jiao Tong University, 2019 (in Chinese)
[11]	Cúñez FD, Franklin EM. Mimicking layer inversion in solid-liquid fluidized beds in narrow tubes. Powder Technology, 2020, 364: 994-1008 doi: 10.1016/j.powtec.2019.09.089
[12]	Cúñez FD, Lima NC, Franklin EM. Motion and clustering of bonded particles in narrow solid–liquid fluidized beds. Physics of Fluids, 2021, 33(2): 023303 doi: 10.1063/5.0035718
[13]	Ren WL, Zhang Y, Zhang XH, et al. Investigation of the characteristics and mechanisms of the layer inversion in binary liquid–solid fluidized beds with coarse particles. Physics of Fluids, 2022, 34(10): 103325 doi: 10.1063/5.0111157
[14]	Zhou MM, Kuang SB, Xiao F, et al. CFD-DEM analysis of hydraulic conveying bends: Interaction between pipe orientation and flow regime. Powder Technology, 2021, 392: 619-631 doi: 10.1016/j.powtec.2021.07.052
[15]	Yao YN, Criddle CS, Fringer OB. Competing flow and collision effects in a monodispersed liquid−solid fluidized bed at a moderate Archimedes number. Journal of Fluid Mechanics, 2021, 927: A28
[16]	Zhang Y, Lu XB, Zhang XH, et al. Numerical simulation on flow characteristics of large-scale submarine mudflow. Applied Ocean Research, 2021, 108: 102524
[17]	沈义俊, 陈敏芳, 杜燕连等. 深海矿物资源开发系统关键力学问题及技术挑战. 力学与实践, 2022, 44(5): 1005-1020 (Sheng Yijun, Chen Minfang, Du Yanlian, et al. Key mechanical issues and technical challenges of deep-sea mining development system. Mechanics in Engineering, 2022, 44(5): 1005-1020 (in Chinese) doi: 10.1016/j.apor.2021.102524 Sheng Yijun, Chen Minfang, Du Yanlian, et al. Key mechanical issues and technical challenges of deep-sea mining development system. Mechanics in Engineering, 2022, 44(05): 1005-1020 (in Chinese) doi: 10.1016/j.apor.2021.102524
[18]	王予琪, 宿向辉, 朱祖超. 深海采矿混输泵内流场及粗颗粒运动特性. 排灌机械工程学报, 2022, 40(8): 800-806 (Wang Yuqi, Su Xianghui, Zhu Zuchao. Characteristics of flow field and coarse particle motion in multiphase pump for deep-sea mining. Journal of Drainage and Irrigation Machinery Engineering, 2022, 40(8): 800-806 (in Chinese) Wang Yuqi, Su Xianghui, Zhu Zuchao. Characteristics of flow field and coarse particle motion in multiphase pump for deep-sea mining. Journal of drainage and irrigation machinery engineering, 2022, 40(08):800-806 (in Chinese)
[19]	Elghobashi S. On predicting particle-laden turbulent flows. Applied Scientific Research, 1994, 52(4): 309-329 doi: 10.1007/BF00936835
[20]	Peng ZB, Doroodchi E, Luo CM, et al. Influence of void fraction calculation on fidelity of CFD-DEM simulation of gas-solid bubbling fluidized beds. AIChE Journal, 2014, 60(6): 2000-2018 doi: 10.1002/aic.14421
[21]	Deen N, Annaland MVS, Van der Hoef MA, et al. Review of discrete particle modeling of fluidized beds. Chemical Engineering Science, 2007, 62(1-2): 28-44 doi: 10.1016/j.ces.2006.08.014
[22]	Zhang Y, Lu XB, Zhang XH. An optimized Eulerian–Lagrangian method for two-phase flow with coarse particles: Implementation in open-source field operation and manipulation, verification, and validation. Physics of Fluids, 2021, 33(11): 113307 doi: 10.1063/5.0067553
[23]	Zhou Z, Kuang SB, Chu K, et al. Discrete particle simulation of particle−fluid flow: Model formulations and their applicability. Journal of Fluid Mechanics, 2010, 661: 482-510 doi: 10.1017/S002211201000306X
[24]	Fernandes C, Semyonov D, Ferrás L, et al. Validation of the cfd-dpm solver DPMFoam in openfoam through analytical, numerical and experimental comparisons. Granular Matter, 2018, 20(4): 1-18
[25]	Gidaspow D. Multiphase Flow and Fluidization: Continuum and Kinetic Theory Descriptions. Academic Press, 1994
[26]	Ergun S, Orning AA. Fluid flow through randomly packed columns and fluidized beds. Industrial & Engineering Chemistry, 1949, 41(6): 1179-1184
[27]	Yao YU, Criddle CS, Fringer OB. The effects of particle clustering on hindered settling in high-concentration particle suspensions. Journal of Fluid Mechanics, 2021, 920: A40
[28]	Du Pont SC, Gondret P, Perrin B, et al. Granular avalanches in fluids. Physical Review Letters, 2003, 90(4): 044301 doi: 10.1103/PhysRevLett.90.044301
[29]	Sun YH, Zhang WT, An Y, et al. Experimental investigation of immersed granular collapse in viscous and inertial regimes. Physics of Fluids, 2021, 33(10): 103317 doi: 10.1063/5.0067485
[30]	Richardson J, Zaki W. The sedimentation of a suspension of uniform spheres under conditions of viscous flow. Chemical Engineering Science, 1954, 3(2): 65-73 doi: 10.1016/0009-2509(54)85015-9
[31]	Van Wijk J, Van Grunsven F, Talmon A, et al. Simulation and experimental proof of plug formation and riser blockage during vertical hydraulic transport. Ocean Engineering, 2015, 101: 58-66 doi: 10.1016/j.oceaneng.2015.04.015

Cited By

Cited by

Periodical cited type(2)

1.	魏明珠，段金龙，王旭，周济福. 横向振动立管上升流中球形单颗粒运动特征. 力学学报. 2024(03): 597-612 . 本站查看
2.	李枫，伍小金，邢雷，刘彩玉，李新亚，关帅. 固相颗粒对油水分离水力旋流器内油滴运移轨迹的影响. 化工机械. 2024(06): 871-878 .

Other cited types(1)

Get Citation

PDF

XML

Article Metrics

Article views (592) PDF downloads (67) Cited by(3)

THE MIXING AND SEGREGATION OF BINARY PARTICLES TRANSPORTATION IN VERTICAL PIPE

Abstract

References

Cited by

Periodical cited type(2)

Other cited types(1)

Catalog

Article Metrics

Related

Download Center

Author Center

THE MIXING AND SEGREGATION OF BINARY PARTICLES TRANSPORTATION IN VERTICAL PIPE

Abstract

References

Cited by

Periodical cited type(2)

Other cited types(1)

Catalog

Article Metrics

Related

Download Center

Author Center

Export File

Citation

Format

Content