The Motion of a Neutrally Buoyant Ellipsoid Inside Square Tube Flows

The Motion of a Neutrally Buoyant Ellipsoid Inside Square Tube Flows

Year:    2017

Author:    Xin Yang, Haibo Huang, Xiyun Lu

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 2 : pp. 233–249

Abstract

The motion and rotation of an ellipsoidal particle inside square tubes and rectangular tubes with the confinement ratio $R/a$∈(1.0,4.0) are studied by the lattice Boltzmann method (LBM), where $R$ and $a$ are the radius of the tube and the semi-major axis length of the ellipsoid, respectively. The Reynolds numbers ($Re$) up to 50 are considered. For the prolate ellipsoid inside square and rectangular tubes, three typical stable motion modes which depend on $R/a$ are identified, namely, the kayaking mode, the tumbling mode, and the log-rolling mode are identified for the prolate spheroid. The diagonal plane strongly attracts the particle in square tubes with 1.2 ≤ $R/a$<3.0. To explore the mechanism, some constrained cases are simulated. It is found that the tumbling mode in the diagonal plane is stable because the fluid force acting on the particle tends to diminish the small displacement and will bring it back to the plane. Inside rectangular tubes the particle will migrate to a middle plane between short walls instead of the diagonal plane. Through the comparisons between the initial unstable equilibrium motion state and terminal stable mode, it seems that the particle tends to adopt the mode with smaller kinetic energy.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2015.m1376

Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 2 : pp. 233–249

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    LBM Poiseuille flow square tubes ellipsoidal particles.

Author Details

Xin Yang

Haibo Huang

Xiyun Lu

  1. Numerical investigation on motion of an ellipsoidal particle inside confined microcavity flow

    Miao, Tianrou | Xiao, Zuoli

    Theoretical and Applied Mechanics Letters, Vol. 11 (2021), Iss. 1 P.100234

    https://doi.org/10.1016/j.taml.2021.100234 [Citations: 2]
  2. Effect of neutrally buoyant oblate spheroid's aspect ratio on its equilibrium position in a square duct

    Yang, LI | Hong, LIANG | ZhenHua, XIA

    SCIENTIA SINICA Physica, Mechanica & Astronomica, Vol. 52 (2022), Iss. 10 P.104708

    https://doi.org/10.1360/SSPMA-2022-0204 [Citations: 2]
  3. Dynamic self-assembly of staggered oblate particle train in a square duct

    Li, Yang | Xia, Zhenhua | Wang, Lian-Ping

    Acta Mechanica Sinica, Vol. 39 (2023), Iss. 8

    https://doi.org/10.1007/s10409-023-23006-x [Citations: 1]
  4. Inertial migration of a neutrally buoyant oblate spheroid in three-dimensional square duct poiseuille flows

    Li, Yang | Xia, Zhenhua | Wang, Lian-Ping

    International Journal of Multiphase Flow, Vol. 155 (2022), Iss. P.104148

    https://doi.org/10.1016/j.ijmultiphaseflow.2022.104148 [Citations: 9]
  5. Elasto-inertial focusing and rotating characteristics of ellipsoidal particles in a square channel flow of Oldroyd-B viscoelastic fluids

    Hu, Xiao | Lin, Jianzhong | Zhu, Zuchao | Yu, Zhaosheng | Lin, Zhaowu | Li, Xiaojun

    Journal of Fluid Mechanics, Vol. 997 (2024), Iss.

    https://doi.org/10.1017/jfm.2024.479 [Citations: 1]
  6. Self-ordering and organization of a staggered oblate particle pair in three-dimensional square ducts

    Li, Yang | Shao, Chun | Huang, Lizhong | Wang, Ruijin | Liang, Hong

    Physics of Fluids, Vol. 36 (2024), Iss. 3

    https://doi.org/10.1063/5.0190605 [Citations: 0]
  7. Comparison of ellipsoidal particle migration in square channel flow of power-law fluids with equivalent spheres

    Hu, Xiao | Kang, Xuefeng | Lin, Jianzhong | Lin, Peifeng | Bao, Fubing | Zhu, Zuchao

    International Journal of Multiphase Flow, Vol. 167 (2023), Iss. P.104565

    https://doi.org/10.1016/j.ijmultiphaseflow.2023.104565 [Citations: 4]
  8. Lattice Boltzmann modeling of transport phenomena in fuel cells and flow batteries

    Xu, Ao | Shyy, Wei | Zhao, Tianshou

    Acta Mechanica Sinica, Vol. 33 (2017), Iss. 3 P.555

    https://doi.org/10.1007/s10409-017-0667-6 [Citations: 150]