Rotation-triggered path instabilities of rising spheres and cylinder

ORAL

Abstract

Path-instabilities are a common observation in the dynamics of buoyant particles in flows. However, the factors leading to the onset of oscillatory motion have remained difficult to predict even for simple bodies such as bubbles, spheres and cylinders. In literature, two quantities are considered to control the buoyancy-driven dynamics for isotropic bodies (spheres and cylinders); they are the particle's density relative to the fluid ($\Gamma \equiv \rho _{\mathrm{p}}$/$\rho_{\mathrm{f}})$ and its Galileo number (Ga). In contrast to this picture, we show that buoyant spheres (as well as cylinders) can exhibit dramatically \quad different modes of vibration and wake-shedding patterns under seemingly identical conditions ($\Gamma $ and Ga fixed). These effects stem from the simplest of changes in the mass distribution of the particle (hollow to solid sphere), which changes its rotational inertia. We show that rotation can couple with the particle's translational motion and trigger distinctly different wake-induced oscillatory motions. The present findings also provide an explanation for the wide variation that is witnessed in the dynamics of buoyant isotropic bodies.

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Authors

  • Varghese Mathai

    • Physics of Fluids Group, University of Twente, The Netherlands
    • Physics of Fluids Group, University of Twente, The Netherlands.
    • Physics of Fluids, University of Twente

  • Xiaojue Zhu

    • Physics of Fluids Group, University of Twente, The Netherlands

  • Chao Sun

    • Center for Combustion Energy & Department of Thermal Engineering, Tsinghua University

  • Detlef Lohse

    • University of Twente
    • Physic of Fluids Group, University of Twente
    • Physics of Fluids Group, Mesa+ Institute and J.M. Burgers Centre for Fluid Dynamics, University of Twente, The Netherlands
    • Physics of Fluids, MESA+ institute, University of Twente, the Netherlands
    • Physics of Fluids Group, University of Twente, The Netherlands
    • Physics of Fluids group, Faculty of Science and Technology, University of Twente, The Netherlands
    • Physics of Fluids, Faculty of Science \& Technology, University of Twente, The Netherlands
    • Physics of Fluids Group, Faculty of Science and Technology, J. M. Burgers Center for Fluid Dynamics and MESA+ Institute, University of Twente
    • Physics of Fluids Group, University of Twente, The Netherlands.
    • Physics of Fluids Group, University of Twente
    • Physics of Fluids, University of Twente