Sedimentation of a Particle with Translation-Rotation Coupling

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  • Makino Masato
    Department of Computational Science and Engineering, Nagoya University
  • Doi Masao
    Department of Computational Science and Engineering, Nagoya University

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Abstract

We present an analysis on the sedimentation of a propeller-like particle in Newtonian fluid. Due to the translation–rotation coupling, the propeller-like particle settles down with nonconstant speed, drawing a rather complex trajectory. We give analytic expressions for the orientation and the height of the particle using elliptic functions and integrals. We found that the motion of the propeller-like particle remains in the finite region in the X–Y plane (the plane normal to the direction of sedimentation). This is in contrast to the ellipsoidal particle which does not have the translation–rotation coupling, and moves with constant velocity in the X–Y plane.

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