On the motion of a neutrally buoyant cylinder in simple shear flow

ORAL

Abstract

We have investigated the motion of a neutrally buoyant (NB) cylinder of circular or elliptic shape in simple shear flow by direct numerical simulation. The numerical results are validated by the comparisons with existing theoretical, experimental and numerical results. When placing a NB cylinder of either shape away from the centerline initially, it may migrate to an equilibrium position between the centerline and the wall, not the centerline, depending on the particle Reynolds number. Unlike the circular cylinder, the elliptic shape cylinder can migrate toward the without rotating at the higher particle Reynolds number due to the balanced torque from two sides.

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Authors

  • Tsorng-Whay Pan

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

  • Shih-Di Chen

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

  • Shih-Lin Huang

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

  • Chin-Chou Chu

    National Taiwan University, 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