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Theory for size segregation in flowing granular mixtures based on computation of forces on a single large particle

Anurag Tripathi*, Alok Kumar†, and Mohit Nema‡

D. V. Khakhar

  • Department of Chemical Engineering, Indian Institute of Technology Kanpur 208016, India

  • Department of Chemical Engineering, Indian Institute of Technology Bombay 400076, India

  • *anuragt@iitk.ac.in
  • †Present address: ITC Ltd, Shirur, Pune 412220, India..
  • ‡Present address: Wells Fargo EGS India, Devarabisanahalli, Bengaluru, 560103, India.

Phys. Rev. E 103, L031301 – Published 9 March, 2021

DOI: https://doi.org/10.1103/PhysRevE.103.L031301

Abstract

We measure the upward force acting on a single, unconstrained, large particle in a granular medium of small particles flowing over inclined plane using discrete element method (DEM) simulation. Based on the computed force, we obtain an expression for the flux of large particles in a binary mixture of large and small particles and predict the equilibrium concentration profile and the velocity profile of the flowing layer. The theoretical predictions are in very good agreement with the DEM simulation results for a wide range of concentrations of large particles and inclination angles.

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