Bridging the rheology of granular flows in three regimes
arXiv:1201.5862 · doi:10.1103/PhysRevE.85.021305
Abstract
We investigate the rheology of granular materials via molecular dynamics simulations of homogeneous, simple shear flows of soft, frictional, noncohesive spheres. In agreement with previous results for frictionless particles, we observe three flow regimes existing in different domains of particle volume fraction and shear rate, with all stress data collapsing upon scaling by powers of the distance to the jamming point. Though this jamming point is a function of the interparticle friction coefficient, the relation between pressure and strain rate at this point is found to be independent of friction. We also propose a rheological model that blends the asymptotic relations in each regime to obtain a general description for these flows. Finally, we show that departure from inertial number scalings is a direct result of particle softness, with a dimensionless shear rate characterizing the transition.
Accepted to Physical Review E
References in corpus (7)
- Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity
- The Jamming Transition in Granular Systems
- Microfluidic rheology of soft colloids above and below jamming
- Model for the Scaling of Stresses and Fluctuations in Flows near Jamming
- Critical scaling near jamming transition for frictional granular particles
- Scaling properties of granular rheology near the jamming transition
- Universal scaling for the jamming transition
Cited by in corpus (29)
- A constitutive model for simple shear of dense frictional suspensions
- Shear thickening in granular suspensions: inter-particle friction and dynamically correlated clusters
- Unified Theory of Inertial Granular Flows and Non-Brownian Suspensions
- Rheological properties of dense granular flows
- Shear thickening regimes of dense non-Brownian suspensions
- Flow regime transitions in dense non-Brownian suspensions: rheology, microstructural characterisation and constitutive modelling
- Phase Diagram for Inertial Granular Flows
- Rheology of dense granular suspensions under extensional flow
- Shaken and stirred: Random organization reduces viscosity and dissipation in granular suspensions
- The influence of surface roughness on the rheology of immersed and dry frictional spheres
- Merging fluid and solid granular behavior
- Jamming of Frictional Particles: a Non-equilibrium First Order Phase Transition
- Avalanche contribution to shear modulus of granular materials
- Two-scale evolution during shear reversal in dense suspensions
- Flow and rheology of frictional elongated grains
- Shear jamming, discontinuous shear thickening, and fragile states in dry granular materials under oscillatory shear
- Fluid-solid transition in unsteady, homogeneous, granular shear flows
- Contact tribology also affects the slow flow behavior of granular emulsions
- Discontinuous change of shear modulus for frictional jammed granular materials
- A new kinetic theory model of granular flows that incorporates particle stiffness
- Experimental investigation and numerical modelling of density-driven segregation in an annular shear cell
- Shear modulus and reversible particle trajectories of frictional granular materials under oscillatory shear
- Ultraslow settling kinetics of frictional cohesive powders
- Non-monotonic constitutive curves and shear banding in dry and wet granular flows
- Shear-induced mixing of granular materials featuring broad granule size distributions
- Linking particle properties to paste extrusion flow characteristics using discrete element simulations
- A modified kinetic theory for frictional-collisional bedload transport valid from dense to dilute regime
- Dry granular flows: rheological measurements of the -Rheology
- Shear flow of frictional spheroids: Comparison between elongated and flattened particles