Discharge of elongated grains from silo with rotating bottom

Kiwing To, Yi-Kai Mo, Tivadar Pongó, and Tamás Börzsönyi
Phys. Rev. E 103, 062905 – Published 21 June 2021

Abstract

We study the flow of elongated grains (wooden pegs of length L=20 mm with circular cross section of diameter dc=6 and 8 mm) from a silo with a rotating bottom and a circular orifice of diameter D. In the small orifice range (D/d<5) clogs are mostly broken by the rotating base, and the flow is intermittent with avalanches and temporary clogs. Here d(32dc2L)1/3 is the effective grain diameter. Unlike for spherical grains, for rods the flow rate W clearly deviates from the power law dependence W(Dkd)2.5 at lower orifice sizes in the intermittent regime, where W is measured in between temporary clogs only. Instead, below about D/d<3 an exponential dependence WeκD is detected. Here k and κ are constants of order unity. Even more importantly, rotating the silo base leads to a strong—more than 50%—decrease of the flow rate, which otherwise does not depend significantly on the value of ω in the continuous flow regime. In the intermittent regime, W(ω) appears to follow a nonmonotonic trend, although with considerable noise. A simple picture, in terms of the switching from funnel flow to mass flow and the alignment of the pegs due to rotation, is proposed to explain the observed difference between spherical and elongated grains. We also observe shear-induced orientational ordering of the pegs at the bottom such that their long axes in average are oriented at a small angle θ15 to the motion of the bottom.

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  • Received 24 November 2019
  • Revised 7 April 2021
  • Accepted 1 June 2021

DOI:https://doi.org/10.1103/PhysRevE.103.062905

©2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsFluid DynamicsPolymers & Soft Matter

Authors & Affiliations

Kiwing To1,*, Yi-Kai Mo1, Tivadar Pongó2,3, and Tamás Börzsönyi2

  • 1Institute of Physics, Academia Sinica, Taipei, Taiwan 119, Republic of China
  • 2Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, P.O. Box 49, H-1525 Budapest, Hungary
  • 3Departamento de Física y Matemática Aplicada, Facultad de Ciencias, Universidad de Navarra, E-31080 Pamplona, Spain

  • *ericto@gate.sinica.edu.tw

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Issue

Vol. 103, Iss. 6 — June 2021

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