Mixing-Effective Motion of High Viscosity Fluid Around a Rotating Elliptic Cylinder.

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  • Takigawa Teiji
    Division of Resource and Energy Science, Graduate School of Science and Technology, Kobe University
  • Kataoka Kunio
    Department of Chemical Science and Engineering, Kobe University
  • Ema Haruhiko
    Division of Resource and Energy Science, Graduate School of Science and Technology, Kobe University
  • Yoshimura Tokuo
    Department of Chemical Science and Engineering, Kobe University
  • Ohmura Naoto
    Department of Chemical Science and Engineering, Kobe University

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  • Mixing-Effective Motion of High Viscosity F1uid Around a Rotating Elliptic Cylinder

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Abstract

Mixing-effective motions are both numerically and experimentally studied for a very viscous fluid around a rotating elliptic cylinder installed in a cylindrical vessel. A two-dimensional direct numerical simulation was conducted in an elliptic boundary-fitted curvilinear coordinate system rotating at the same angular velocity as the elliptic cylinder. Time-dependent streamlines and streaklines were observed with the aid of visualization technique. It is found that a mixing-effective (folding) motion actually occurs in the vicinity of the edges of the elliptic cylinder, and that such a motion may result from the unstableness of hyperbolic fixed points on an integrable two-dimensional heteroclinic orbit due to experimentally unavoidable three-dimensional disturbances.

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