A numerical study of the motion of a neutrally buoyant cylinder in two dimensional shear flow

ORAL

Abstract

We have investigated the motion of a neutrally buoyant cylinder of circular or elliptic shape in two dimensional shear flow of a Newtonian fluid by direct numerical simulation. The numerical results are validated by comparisons with existing theoretical, experimental and numerical results, including a power law of the normalized angular speed versus the particle Reynolds number. The centerline between two walls is an expected equilibrium position of the cylinder mass center in shear flow. When placing the particle away from the centerline initially, it migrates toward another equilibrium position for higher Reynolds numbers due to the interplay between the slip velocity, the Magnus force, and the wall repulsion force.

*T-W Pan acknowledges the support by the US NSF and S-L Huang, S-D Chen, C-C Chu, C-C Chang acknowledge the support by the National Science Council of Taiwan, ROC.

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Authors

  • Tsorng-Whay Pan

    • Department of Mathematics, University of Houston, Houston TX 77204, USA
    • University of Houston
    • Department of Mathematics, University of Houston, Houston, TX 77204, USA

  • Shih-Lin Huang

    • Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, ROC

  • Shih-Di Chen

    • Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, ROC

  • Chin-Chou Chu

    • Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, ROC

  • Chien-Cheng Chang

    • Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, ROC