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Vortex Induced Oscillations of Cylinders at Low and Intermediate Reynolds Numbers

In: Advances in Mathematical Fluid Mechanics

Author

Listed:
  • Roberto Camassa

    (University of North Carolina, Department of Mathematics)

  • Bong Jae Chung

    (University of North Carolina, Department of Mathematics)

  • Philip Howard

    (University of North Carolina, Department of Statistics)

  • Richard McLaughlin

    (University of North Carolina, Department of Mathematics)

  • Ashwin Vaidya

    (University of North Carolina, Department of Mathematics)

Abstract

We study the orientational behavior of a hinged cylinder suspended in a water tunnel in the presence of an incompressible flow with Reynolds number (Re), based on particle dimensions, ranging between 100 and 6000 and non-dimensional inertia of the body(I *) in the range 0.1–0.6. The cylinder displays four unique features, which include: steady orientation, random oscillations, periodic oscillations and autorotation.We illustrate these features displayed by the cylinder using a phase diagram which captures the observed phenomena as a function of Re and I *. We identify critical Re and I * to distinguish the different behaviors of the cylinders. We used the hydrogen bubble flow visualization technique to show vortex shedding structure in the cylinder’s wake which results in these oscillations.

Suggested Citation

  • Roberto Camassa & Bong Jae Chung & Philip Howard & Richard McLaughlin & Ashwin Vaidya, 2010. "Vortex Induced Oscillations of Cylinders at Low and Intermediate Reynolds Numbers," Springer Books, in: Rolf Rannacher & Adélia Sequeira (ed.), Advances in Mathematical Fluid Mechanics, pages 135-145, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-04068-9_8
    DOI: 10.1007/978-3-642-04068-9_8
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