Main Article Content

De-Ming NIE


The previously developed lattice Boltzmann – direct forcing/fictitious domain method is improved by introducing a multiple-relaxation-time model, and a detailed investigation of sedimentation of a capsule-shaped particle settling in a channel is carried out. The effects of blockage ratio on the sedimentation pattern at low Reynolds numbers are studied. It concludes that for a narrow channel, besides vertical and horizontal pattern, there exists another sedimentation pattern named inclined pattern. Through a large amount of simulations, two critical lines are obtained, which divide the three patterns based on the critical values of density ratio.

Article Details

How to Cite
NIE, De-Ming. NUMERICAL INVESTIGATION OF A CAPSULE-SHAPED PARTICLE SETTLING IN A VERTICAL CHANNEL. Thermal Science, [S.l.], v. 16, n. 5, p. 1419-1423, dec. 2016. ISSN 2334-7163. Available at: <>. Date accessed: 24 jan. 2018. doi:
Received 2016-12-29
Accepted 2016-12-30
Published 2016-12-30


[1] Shi, X., et al., Discontinuous Galerkin Spectral Element Lattice Boltzmann Method on Triangular Element, Int. J. Numer Methods Fluids, 42 (2003), 11, pp. 1249-1261
[2] Lin, J. Z., et al., Effects of the Aspect Ratio on the Sedimentation of a Fiber in Newtonian Fluids. J. Aerosol Sci, 34 (2003), 7, pp. 909-921
[3] Lin, J. Z., et al., Sedimentation of Rigid Cylindrical Particles with Mechanical Contacts, Chin Phys Lett, 22 (2005), 3, pp. 628-631
[4] Lin, J. Z., Ku, X. K., Fiber Orientation Distributions in a Suspension Flow through a Parallel Plate Channel Containing a Cylinder, J. Compos Mater, 43 (2009), 12, pp. 1373-1390
[5] Lin, J. Z., Ku, X. K., Inertial Effects on the Rotational Motion of a Fiber in Simple Shear Flow between Two Bounding Walls, Phys. Scr., 80 (2009), 2, pp. 025801
[6] Nie, D. M., Lin, J. Z., A LB-DF/FD Method for Particle Suspensions, Commun Comput. Phys., 7 (2010), 3, pp. 544-563
[7] Nie, D. M., et al., Long-Time Decay of the Translational/Rotational Velocity Autocorrelation Function for Colloidal Particles in Two Dimensions, Comput. Math. Appl., 61 (2011), 8, pp. 2152–2157
[8] Lin, J. Z., et al., The Motion of Fibers in an Evolving Mixing Layer, Int. J. Multiphas Flow, 29 (2003), 8, pp. 1355-1372
[9] Lin, J. Z., et al., Numerical Research on the Orientation Distribution of Fibers Immersed in Laminar and Turbulent Pipe Flows, J. Aerosol Sci., 35 (2004), 1, pp. 63-82
[10] Lin, J. Z., et al., Rheological Behavior of Fiber Suspensions in a Turbulent Channel Flow, J. Colloid Interface Sci., 296 (2006), 2, pp. 721-728
[11] Lin, J. Z., Li, J., The Force Exerted on a Cylindrical Particles in the Elongational-Shear Flow, Int. J. Nonlin Sci. Num., 15 (2004), 1, pp. 9-16
[12] Feng, J., et al., Direct Simulation of Initial Value Problems for the Motion of Solid Bodies in a Newtonian Fluid, Part 1. Sedimentation, J. Fluid Mech., 261 (1994), 2, pp. 95–134
[13] Huang, P., et al., Direct Simulation of the Sedimentation of Elliptic Particles in Oldroyd-b Fluids, J. Fluid Mech., 362 (1998), 5, pp. 297-325
[14] Xia, Z. H., et al., Flow Patterns in the Sedimentation of an Elliptical Particle, J. Fluid Mech., 625 (2009), 4, pp. 249-272
[15] Nie, D. M., et al., Flow Patterns in the Sedimentation of a Capsule-shaped Particle, Chin. Phys. Lett., 29 (2012), 8, pp. 084703
[16] Luo, L.S., et al., Numerics of the Lattice Boltzmann Method: Effects of Collision Models on the Lattice Boltzmann Simulations, Phys. Rev. E., 83 (2011), 5, pp. 056710