Numerical Study on Cubic Particle Solid–Liquid Two-Phase Flow in Multistage Pump

Document Type : Regular Article


1 Research Center of Fluid Machinery Engineering and Technology, Jiangsu University, Zhenjiang, Jiangsu, 212013, China

2 School of Energy and Power Engineering, Jiangsu University, Zhenjiang, Jiangsu, 212013, China

3 School of Mechanical Engineering, Jiangsu University, Zhenjiang, Jiangsu, 212013, China



To investigate the movement characteristics of cubic particles in a pump, a deep-sea mining lift model pump with a specific speed of 94 is used as the research object in this study. The discrete element method is coupled with the computational fluid dynamics method to simulate the solid–liquid two-phase flow of cubic particles with different densities in the pump while the effect of particle shape on the solid–liquid two-phase flow in the pump is considered. Results show that the cubic particle movement rules for the same flow component are the same. The cubic particle density imposes a more significant effect on the number of particles in the low-velocity zone than in other zones. The number of particles in the low-velocity zone increases with the increase of density. The cubic particle velocity gradient in the impeller decreases as the particle density increases, and the particles exhibit unsatisfactory following performance in the fluid. As the density increases, the collision exhibited by the cubic particles is primarily particle-to-particle collisions, (i.e., more than 37%), and the collision rate between the cubic particles and first-stage guide vane decreases significantly. Compared with cubic particles, spherical particles are likely to obstruct the flow channel in the guide vane. The collision exhibited by the spherical particles in the pump is primarily particle-to-guide vane collision, and the collision rate between the spherical particles decreases by 15.92%.


Coetzee, C. (2017). Calibration of the discrete element method. Power Technology 310, 104-142.##
Datta, S. (2012). Numerical investigation of flow-field inside a centrifugal slurry pump casing. Ph.D. thesis, Jadavpur University, Kolkata, India.##
Guan, Y., L. Zou, H. Zheng, Y. Bian and Z. Yu (2021). Ore particle backflow performance in the deep-sea mining slurry pump. Journal of Harbin Engineering University 42(11), 1557-1565.##
Ji, Y. (2018). Test and numerical simulation on coarse particles two-phase flow with in a centrifugal pump. Master thesis, Jiangsu University, Zhenjiang, China.##
Li, Y., S. Yuan, Y. Tang, P. Huang and X. Li (2012). Simulation of tracer particles movement by discrete phase model in centrifugal pump. Transactions of the Chinese Society for Agricultural Machinery 43(11), 113-118.##
Lian, G., W. Zhong and X. Liu (2021). DEM study on the mixed feeding process of coal and cylindroid biomass particles in a screw feeder. Advanced Powder Technology 32(7), 2543-2554.##
Liu, S., Y. Li and X. Hu (2020). Effect of Particle Volume Fraction on the Performance of Deep-sea Mining Eletric Lifting Pump Based on DEM-CFD. Journal of Mechanical Engineering 56(10), 257-264.##
Liu, Y., A. Hui and X. Zhao (2009). Numerical calculation of interior liquid-solid two-phase flow inside a slurry pump and analysis of wear character for the impeller. Journal of Xihua University (Natural Science Edition) 28(2), 70-73.##
Luo, L. and S. Zhang (2016). Prediction of blade wear of slurry pump based on two solid–liquid two-phase flow models. Pump Technology 6, 16-19.##
Lv, H. (2011). Direct numerical simulation of rectangular particle–liquid two-phase flow. Ph.D. thesis, Chongqing University, Chongqing, China.##
Mohaghegh, F. and H. Udaykumar (2017, July). Title of paper. A Simplified Model for the Normal Collision of Arbitrary Shape Particles in a Viscous Flow. ASME 2017 Fluids Engineering Division Summer Meeting, Waikoloa, America.##
Pozorski, J. (2017). Models of turbulent flows and particle dynamics. In J.P. Minier and J. Pozorski (Ed.), Particles in wall-bounded turbulent flows: deposition, re-suspension and agglomeration, Cham, Switzerland, 97-150. Springer.##
Rahul, B., K. Willian and H. Bruno (2010). Discrete element simulation study of a Freeman powder rheometer. Chemical Engineering Science 65(21), 5747-5756.##
Ren, B., W. Zhong, X. Jiang, B. Jin and Z. Yuan (2014). Numerical simulation of spouting of cylindroid particles in a spouted bed. Canadian Journal of Chemical Engineering 92(5), 928-934.##
Shi, Y. and H. Zhu (2021). Research on the Flow Characteristic in a Multi-Stage Multiphase Pump by Numerical Simulations. Journal of Applied Fluid Mechanics 14(2), 555-566.##
Song, X., X. Mao, J. Lu and X. Zhang (2021). CFD-based optimal design of pump-turbine runner with long and short blades. Water Resources and Hydropower Engineering 52(4), 115-123.##
Tarodiya, R. and B. Gandhi (2019). Numerical simulation of a centrifugal slurry pump handling solid–liquid mixture:Effect of solids on flow field and performance. Advanced Powder Technology 14(10), 2225-2239.##
Walton, R. (1984). Application of molecular dynamics to macroscopic particles. International Journal of Engineering Science 22(8-10), 1097-1107.##
Wang, J., Y. Pan, J. Zheng, C. Li and K. Kim (2013). A numerical study of the impact of find sand-particles on centrifugal pump working characteristics. China Rural Water and Hydropower 5, 129-132+136.##
Wu, X., J. Song, K. Wang, H. Liu, H. Ye and M. Tan (2021). Visualization test on solid–liquid two-phase flow in multistage pump. Journal of Drainage and Irrigation Machinery 39(12), 1270-1277.##
You, C., Y. Qi and X. Xu (2002). Progresses and Applications of Basset Force. Chinese Journal of Applied Mechanics 19(2), 31-33+139-140.##
Yun, C. and O. Jin (2008). A study of influence of gravity on bulk behaviour of particulate solid. Particuology 6(6), 467-474.##
Zhang, D., J. Mei, R. Zhao, J. Huang and Y. Jin (2020). Response surface method-based optimization of impeller of fluoroplastic two-phase flow centrifugal pump. Journal of Drainage and Irrigation Machinery Engineering 38(9), 898-903.##
Zhang, H. (2019). Research on particle collision and erosion mechanism in the channel of impeller. Master thesis, Zhejiang Sci-Tech University, Hangzhou, China.##
Zhang, K., M. Tan, X. Wu, H. Ma and H. Liu (2021). Clocking effect of guide vane in multi-stage centrifugal pump. Journal of Drainage and Irrigation Machinery 39(7), 663-670.##
Zhao, X., X. Lai, G. Liao and L. Zhong (2019). Numerical Analysis of the Effects of Particle Size and Volume Fraction on the Internal Flow Field of Centrifugal Pump. Journal of Engineering for Thermal Energy and Power 34(4), 67-72.##
Volume 15, Issue 5
September and October 2022
Pages 1377-1386
  • Received: 17 January 2022
  • Revised: 30 May 2022
  • Accepted: 30 May 2022
  • First Publish Date: 26 June 2022