THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Geng Guan

,

Yuxiang Ying

,

Deming Nie

SEDIMENTATION OF TWO SPHERES IN A SQUARE TUBE

ABSTRACT
In this study, we simulated the sedimentation of two identical spheres having the same density in a square tube. Compared with the center-line and the diagonal planes (including the reverse diagonal plane), the sedimentation of spheres on other planes is more complicated. Results show that at relatively low and high Reynolds number, the spheres will deflect and eventually move to the diagonal plane of the square tube. At the medium Reynolds number, the spheres settle near the initial plane. The possible mechanisms underlying these behaviors are examined. Finally, it is shown that the distance between the spheres increases with an increase in the Reynolds number, which is applicable to all the initial settlement planes studied.
KEYWORDS
sedimentation, Reynolds number, center-line plane
PAPER SUBMITTED: 2021-07-11
PAPER REVISED: 2021-07-22
PAPER ACCEPTED: 2021-07-24
PUBLISHED ONLINE: 2021-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2373G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [373 - 378]
REFERENCES
  1. Fortes, A. F., et al., Non-linear Mechanics of Fluidization of Beds of Spherical Particles, Journal of Fluid Mechanics, 177 (1987), Apr., pp. 467-483
  2. Feng, J., et al., Direct Simulation of Initial Value Problems for The Motion of Solid Bodies in A Newtonian Fluid Part 1 sedimentation, Journal of Fluid Mechanics, 261 (1994), 2, pp. 95-134
  3. Wang, L., et al., Drafting, Kissing and Tumbling Process of Two Particles with Different Sizes, Computer & Fluids, 96 (2014), June, pp. 20-34
  4. Nie, D. M., et al., Grouping Behavior of Coaxial Settling Particles in A Narrow Channel, Physical Review E, 93 (2016), 1, ID 013114
  5. Yacoubi, A. E., et al., Computational Study of the Interaction of Freely Moving Particles At Intermediate Reynolds Numbers, Journal of Fluid Mechanics, 705 (2012), July, pp. 134-148
  6. Nie, D. M., et al., Direct Numerical Simulation of Multiple Particles Sedimentation at An Intermediate Reynolds Number, Communications in Computational Physics, 16 (2014), 3, pp. 675-698
  7. Cao, C., et al., Simulating the Interactions of Two Freely Settling Spherical Particles in Newtonian Fluid Using Lattice-Boltzmann Method, Applied Mathematics and Computation, 250 (2015), Jan., pp. 533-551
  8. Chen, R. Q., Nie, D. M., Kinetic Analysis of the Settlement of Double Particles, Computational Mechan-ics, 33 (2016), 6, pp. 895-94
  9. Luo, K., et al., Fully-Resolved DNS Study of Rotation Behaviors of One and Two Particles Settling Near a Vertical Wall, Powder Technology, 245 (2013), 8, pp. 115-125
  10. Nie, D. M., Lin, J. Z., Simulation of Sedimentation of Two Spheres with Different Densities in a Square Tube, Journal of Fluid Mechanics, 896 (2020), Aug., A12
  11. Lallemand, P., Luo, L. S., Lattice Boltzmann Method for Moving Boundaries, Journal of Computational Physics, 184 (2003), 2, pp. 406-421
  12. Nguyen, N. Q., Ladd, A. J. C., Lubrication Corrections for Lattice-Boltzmann Simulations of Particle Suspensions, Physical Review E, 66 (2002), 4, ID 046708
  13. Jeong, J., Hussain F., On the Identification of a Vortex, Journal of Fluid Mechanics, 285 (1995), Feb., pp. 69-94
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Sedimentation of two spheres in a square tube

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence