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Diverging viscosity and soft granular rheology in non-Brownian suspensions | | Takeshi Kawasaki
; Daniele Coslovich
; Atsushi Ikeda
; Ludovic Berthier
; | | Date: |
21 Oct 2014 | | Abstract: | We use large scale computer simulations and finite size scaling analysis to
study the shear rheology of dense three-dimensional suspensions of frictionless
non-Brownian particles in the vicinity of the jamming transition. We perform
simulations of soft repulsive particles at constant shear rate, constant
pressure, and finite system size, and study carefully the asymptotic limits of
large system sizes and infinitely hard particle repulsion. Extending earlier
analysis by about two orders of magnitude, we first study the asymptotic
behavior of the shear viscosity in the hard particle limit. We confirm its
asymptotic power law divergence at the jamming transition, but show that a
precise determination of the critical density and critical exponent is
difficult due to the ’multiscaling’ behavior of the viscosity. Additionally,
finite-size scaling analysis suggests that this divergence is accompanied by a
growing correlation length scale, which also diverges algebraically. We then
study the effect of soft repulsion, and propose a natural extension of the
standard granular rheology to account for softness effects, which we validate
from simulations. Close to the jamming transition, this ’soft granular
rheology’ offers a detailed description of the non-linear rheology of soft
particles, which differs from earlier empirical scaling forms. | | Source: | arXiv, 1410.5683 | | Services: | Forum | Review | PDF | Favorites | |
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