Rheology of dilute cohesive granular gases

Satoshi Takada and Hisao Hayakawa
Phys. Rev. E 97, 042902 – Published 18 April 2018

Abstract

Rheology of a dilute cohesive granular gas is theoretically and numerically studied. The flow curve between the shear viscosity and the shear rate is derived from the inelastic Boltzmann equation for particles having square-well potentials in a simple shear flow. It is found that (i) the stable uniformly sheared state only exists above a critical shear rate and (ii) the viscosity in the uniformly sheared flow is almost identical to that for uniformly sheared flow of hard core granular particles. Below the critical shear rate, clusters grow with time, in which the viscosity can be approximated by that for the hard-core fluids if we replace the diameter of the particle by the mean diameter of clusters.

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  • Received 24 May 2017
  • Revised 11 March 2018

DOI:https://doi.org/10.1103/PhysRevE.97.042902

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Statistical Physics & Thermodynamics

Authors & Affiliations

Satoshi Takada1,2,* and Hisao Hayakawa3

  • 1Earthquake Research Institute, The University of Tokyo, 1-1-1, Yayoi, Bunkyo-ku, Tokyo 113-0032, Japan
  • 2Department of Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan
  • 3Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan

  • *takada@eri.u-tokyo.ac.jp

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Issue

Vol. 97, Iss. 4 — April 2018

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