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Fall of a large sphere in a suspension of small fluidized particles

Ahmad Amin1, Laurence Girolami1, and Frédéric Risso2,*

  • 1Laboratoire GéHCO, Campus Grandmont, Université de Tours, 37200 Tours, France
  • 2Institut de Mécanique des Fluides de Toulouse, IMFT, Université de Toulouse, CNRS - 31400 Toulouse, France

  • *Corresponding author: frisso@imft.fr

Phys. Rev. Fluids 7, L082301 – Published 9 August, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.L082301

Abstract

The investigation of the fall of a sphere at finite Reynolds number in a concentrated suspension of small fluidized particles leads to unexpected results. By analyzing the drag force, it is shown that the average surface stress on the sphere is independent of the size of the sphere. It is proportional to an effective viscosity determined from the sedimentation velocity of the particles multiplied by the velocity of the sphere and divided by the size of the particles. These results question the role of concentration inhomogeneities that occur on a large scale in the overall flow around a moving obstacle and on a small scale near its surface.

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