Repository logo
 

Rheology of dense granular suspensions under extensional flow

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Cheal, Oliver 

Abstract

We study granular suspensions under a variety of extensional deformations and simple shear using numerical simulations. The viscosity and Trouton's ratio (the ratio of extensional to shear viscosity) are computed as functions of solids volume fraction ϕ close to the limit of zero inertia. Suspensions of frictionless particles follow a Newtonian Trouton's ratio for ϕ all the way up to ϕ0, a universal jamming point that is independent of deformation type. In contrast, frictional particles lead to a deformation-type-dependent jamming fraction ϕm, which is largest for shear flows. Trouton's ratio consequently starts off Newtonian but diverges as ϕϕm. We explain this discrepancy in suspensions of frictional particles by considering the particle arrangements at jamming. While frictionless particle suspensions have a nearly isotropic microstructure at jamming, friction permits more anisotropic contact chains that allow jamming at lower ϕ but introduce protocol dependence. Finally, we provide evidence that viscous number rheology can be extended from shear to extensional deformations, with a particularly successful collapse for frictionless particles. Extensional deformations are an important class of rheometric flow in suspensions, relevant to paste processing, granulation and high performance materials.

Description

Keywords

cond-mat.soft, cond-mat.soft

Journal Title

Journal of Rheology

Conference Name

Journal ISSN

0148-6055
1520-8516

Volume Title

62

Publisher

Society of Rheology