Hard-sphere limit of soft-sphere model for granular materials: Stiffness dependence of steady granular flow

Namiko Mitarai, Hiizu Nakanishi

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1 Citation (Scopus)

Abstract

Dynamical behavior of steady granular flow is investigated numerically in the inelastic hard-sphere limit of the soft-sphere model. We find distinctively different limiting behaviors for the two flow regimes, i.e., the collisional flow and the frictional flow. In the collisional flow, the hard-sphere limit is straightforward; the number of collisions per particle per unit time converges to a finite value and the total contact time fraction with other particles goes to zero. For the frictional flow, however, we demonstrate that the collision rate diverges as the power of the particle stiffness so that the time fraction of the multiple contacts remains finite even in the hard-sphere limit, although the contact time fraction for the binary collisions tends to zero.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume67
Issue number2
DOIs
Publication statusPublished - Jan 1 2003

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Granular Flow
Granular Materials
granular materials
Hard Spheres
Steady Flow
stiffness
Stiffness
Collision
Contact
Model
Limiting Behavior
Zero
collision rates
Diverge
collisions
Dynamical Behavior
Tend
Binary
Converge
Unit

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

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