A rheological constitutive model for semiconcentrated rod suspensions in Bingham fluids - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physics of Fluids Année : 2017

A rheological constitutive model for semiconcentrated rod suspensions in Bingham fluids

Julien Férec
Erwan Bertevas
Boo Cheong Khoo
Gilles Ausias
Nhan Phan-Thien

Résumé

A rheological constitutive law is developed for a suspension of rigid rods in a Bingham fluid for volume fractions ranging up to the semiconcentrated regime. Based on a cell model approach, which allows expressing the shear stress on the particle surface, the particle stress contribution is derived and involves additional yield stress terms related to an ensemble average orientation distribution of the rods. As a first approach, a von Mises criterion is used to describe the composite flow threshold, which is found to be anisotropic in the sense that it depends on the rod orientation. A rod dynamics equation is also proposed and incorporates some diffusion/perturbation due to yielded regions encountered throughout the suspension. In parallel, an equivalent kinetic theory is also developed. The model provides good agreement with shear stress experiments for kaolin pastes filled with steel fibers of two different aspect ratios.
Fichier principal
Vignette du fichier
frec2017.pdf (603.85 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01697249 , version 1 (07-09-2018)

Identifiants

Citer

Julien Férec, Erwan Bertevas, Boo Cheong Khoo, Gilles Ausias, Nhan Phan-Thien. A rheological constitutive model for semiconcentrated rod suspensions in Bingham fluids. Physics of Fluids, 2017, 29 (7), pp.073103. ⟨10.1063/1.4995436⟩. ⟨hal-01697249⟩
78 Consultations
198 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More