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Force on a sphere suspended in flowing granulate

Jing Wang1, Bo Fan2,3, Tivadar Pongó4,5, Tamás Börzsönyi2, Raúl Cruz Hidalgo4, and Ralf Stannarius1

  • 1Institute of Physics, Otto von Guericke University, Magdeburg, Germany
  • 2Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Budapest, Hungary
  • 3Physical Chemistry and Soft Matter, Wageningen University & Research, Wageningen, The Netherlands
  • 4Física y Matemática Aplicada, Facultad de Ciencias, Universidad de Navarra, Pamplona, Spain
  • 5Collective Dynamics Lab, Division of Natural and Applied Sciences, Duke Kunshan University, Kunshan, China

Phys. Rev. E 108, L062901 – Published 4 December, 2023

DOI: https://doi.org/10.1103/PhysRevE.108.L062901

Abstract

We investigate the force of flowing granular material on an obstacle. A sphere suspended in a discharging silo experiences both the weight of the overlaying layers and drag of the surrounding moving grains. In experiments with frictional hard glass beads, the force on the obstacle was practically flow-rate independent. In contrast, flow of nearly frictionless soft hydrogel spheres added drag to the gravitational force. The dependence of the total force on the obstacle diameter is qualitatively different for the two types of material: It grows quadratically with the obstacle diameter in the soft, low-friction material, while it grows much weaker, nearly linearly with the obstacle diameter, in the bed of glass spheres. In addition to the drag, the obstacle embedded in flowing low-friction soft particles experiences a total force from the top as if immersed in a hydrostatic pressure profile, but a much lower counterforce acting from below. In contrast, when embedded in frictional, hard particles, a strong pressure gradient forms near the upper obstacle surface.

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