Hydrodynamic instabilities in shear flows of dry cohesive granular particles

Kuniyasu Saitoh, Satoshi Takada, Hisao Hayakawa

研究成果: Article査読

12 被引用数 (Scopus)

抄録

We extend the dynamic van der Waals model introduced by A. Onuki [Phys. Rev. Lett., 2005, 94, 054501] to the description of cohesive granular flows under a plane shear to study their hydrodynamic instabilities. By numerically solving the dynamic van der Waals model, we observed various heterogeneous structures of density fields in steady states, where the viscous heating is balanced with the energy dissipation caused by inelastic collisions. Based on the linear stability analysis, we found that the spatial structures are determined by the mean volume fraction, the applied shear rate, and the inelasticity, where the instability is triggered if the system is thermodynamically unstable, i.e. the pressure, p, and the volume fraction, ∅, satisfy ∂p/∂∅ < 0.

本文言語English
ページ(範囲)6371-6385
ページ数15
ジャーナルSoft Matter
11
32
DOI
出版ステータスPublished - 2015 6 18

ASJC Scopus subject areas

  • 化学 (全般)
  • 凝縮系物理学

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