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Finite-size Lagrangian coherent structures in a two-sided lid-driven cavity

Francesco Romanò*

Parvathy Kunchi Kannan and Hendrik C. Kuhlmann

  • Institute of Fluid Mechanics and Heat Transfer, TU Wien, Getreidemarkt 9, 1060 Vienna, Austria and Department of Biomedical Engineering, University of Michigan, 2123 Carl A. Gerstacker Building, 2200 Bonisteel Boulevard, Ann Arbor, Michigan 48109-2099, USA

  • Institute of Fluid Mechanics and Heat Transfer, TU Wien, Getreidemarkt 9, 1060 Vienna, Austria

  • *frromano@umich.edu
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Phys. Rev. Fluids 4, 024302 – Published 6 February, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.024302

Abstract

The motion of small, rigid, nearly neutrally buoyant finite-size particles in a two-sided lid-driven cavity is calculated numerically. The rapid accumulation of particles into coherent structures which is observed experimentally is explained on the basis of single-particle one-way-coupled dynamics. Key is the transfer of the particle from regions of the incompressible flow occupied by chaotic streamlines to regions occupied by regular ones. The particle attractors are caused by lubrication forces which repel the particles from the moving boundaries. This mechanism is independent of particle inertia. Therefore, the particulate structures found represent a class of coherent structures which may be called finite-size coherent structures.

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Phys. Rev. Fluids 4, 024302– Published 6 February, 2019
  • Received 9 July 2018
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