Abstract
The sedimentations of two cylindrical particles in three different initial relative positions are numerically simulated using the lattice Boltzmann method. The movement characteristics and particle interactions during their sedimentation are presented and discussed in detail. The results show that, (i) if the two particles are released parallel but separated horizontally, they push away each other, rotate inwards and separate horizontally as they fall; (ii) if the two particles are released parallel but separated vertically, the sedimentation behavior can be classified into three stages: trailing, tumbling and separating; (iii) if the two particles are released perpendicular but separated vertically, the sedimentation behavior can be characterized as: trailing and rotating, touching and sliding. In order to validate our simulation, experiments were also conducted and the results agree well with the numerical ones.
Similar content being viewed by others
References
Mackaplow MB, Shaqfeh ESG. A numerical study of the sedimentation of fiber suspension.J Fluid Mech, 1998, 376: 149–182
Turney MA, Cheung MK, Powell RL, et al. Hindered settling of rod-like particles measured with magnetic resonance imaging.AICHE J, 1995, 41: 251–257
Herzhaft B, Guazzelli E. Experimental investigation of the sedimentation of a dilute fiber suspension.Phys Rev Lett, 1996, 77(2): 290–293
Mackaplow MB, Shaqfeh ESG. A numerical study of the rheological properties of suspensions of rigid, non-Brownian fibers.J Fluid Mech, 1996, 329: 155–186
Koch DL, Shaqfeh ESG. The Instability of a suspension of sedimenting spheroids.J Fluid Mech, 1989, 209: 521–542
Mackaplow MB, Shaqfeh ESG, Schiek RL. A numerical study of heat and mass transport in fiber suspensions.Proc R Soc Lond A, 1994, 447: 77–110
Lin JZ, Wang YL, Wang WX, et al. Numerical simulation of the sedimentation of cylindrical pollutant particles in fluid.Journal of Environmental Sciences, 2002, 14(4): 433–438
Qi DW, Lattice-Boltzmann simulation of particles in non-zero-Reynolds-number flows.J Fluid Mech, 1999, 385: 41–62
Yan GW. Studies of Burgers equations using a lattice Boltzmann method.Acta Mechanica Sinica, 1999, 31(2): 143–151
Bhatnagar PL, Gross EP, Krook M. A model for collision process in gases. I: small amplitude processes in charged and neutral one-component system.Phys Rev, 1954, 94: 511–532
Chen H, Chen S, Matthaeus WH. Recovery of the Navier-Stokes equations using a lattice Boltzmann method.Phys Rev A, 1992, 45: R5339–5342
Ladd JC. Numerical simulation of particulate suspension vis discrete lattice Boltzmann equation, part I: theoretical foundation.J Fluid Mech, 1994, 271: 285–309
Evans DJ. On the representation of orientation space.Mol Phys, 1997, 34: 317–329
Author information
Authors and Affiliations
Additional information
The project supported by the National Natural Science Foundation of China for Distinguished Scholars (19925210)
Rights and permissions
About this article
Cite this article
Jianzhong, L., Xueming, S., Xing, S. et al. Study on the interaction of sedimenting cylindrical particles in still fluid. Acta Mech Sinica 20, 32–45 (2004). https://doi.org/10.1007/BF02493569
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02493569