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Sedimentation of a suspension of discorectangles

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  • Lebovka, Nikolai I.
  • Cieśla, Michał
  • Vygornitskii, Nikolai V.

Abstract

The sedimentation of anisotropically-shaped particles (discorectangles) was studied by means of Monte Carlo (MC) simulations in two-dimensional systems. The model with continuous positional and orientational degrees of freedom was considered. During sedimentation, the particle undergoes random translational and rotational Brownian motions and downward movements controlled by gravitation. Interrelation between gravitational and random motions was determined by the Péclet number varied in the interval Pe=0.05−0.2 (i.e. random walks were dominant). The value of particle aspect ratio (the length-to-width ratio) was varied in the interval ɛ=1.1−10. In the studied systems, the initial hindered sedimentation process was followed by a consolidation process at the bottom sediment. Studies revealed the complicated sedimentation-driven self-assembly, orientational ordering, and formation of stacks (tactoids) in sediment films. Permeability of sediment films was tested using the random walker method and was characterized by diffusion coefficient through the sediment film D. The evolution of the deposit height, order parameter, and diffusion coefficient D at different values of ɛ and Pe are discussed.

Suggested Citation

  • Lebovka, Nikolai I. & Cieśla, Michał & Vygornitskii, Nikolai V., 2024. "Sedimentation of a suspension of discorectangles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 644(C).
    • Handle: RePEc:eee:phsmap:v:644:y:2024:i:c:s0378437124003467
    DOI: 10.1016/j.physa.2024.129837
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    References listed on IDEAS

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    1. Kwak, Wooseop & Kim, Jin Min, 2019. "Random deposition model with surface relaxation in higher dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 87-92.
    2. Fonseca, F. & Herrmann, H.J., 2004. "Sedimentation of oblate ellipsoids at low and moderate Reynolds numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(3), pages 447-461.
    3. Fonseca, F. & Herrmann, H.J., 2005. "Simulation of the sedimentation of a falling oblate ellipsoid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(3), pages 341-355.
    4. Arenzon, Jeferson J. & Levin, Yan & Sellitto, Mauro, 2003. "Slow dynamics under gravity: a nonlinear diffusion model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 371-395.
    5. Mello, Bernardo A., 2015. "A random rule model of surface growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 762-767.
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