Rheological regimes in agitated granular media under shear
arXiv:2409.01297 · doi:10.1103/PhysRevLett.134.148202
Abstract
Agitated granular media have a rich rheology: they exhibit Newtonian behavior at low shear rate and density, develop a yield stress at high density, and cross over to Bagnoldian shear thickening when sheared rapidly -- making them challenging to encompass in one theoretical framework. We measure the rheology of air-fluidized glass particles, spanning five orders of magnitude in shear rate. By comparing fluidization-induced to Brownian agitation, we show that all rheological regimes can be delineated by two dimensionless numbers -- the Peclet number, $\Pe$, and the ratio of shear-to-fluidization power, -- and propose a constitutive relation that captures all flow behaviors, qualitatively and quantitatively, in one unified framework.
References in corpus (20)
- Shear thickening in concentrated suspensions: phenomenology, mechanisms, and relations to jamming
- Theory of nonlinear rheology and yielding of dense colloidal suspensions
- Hydrodynamic and contact contributions to shear thickening in colloidal suspensions
- Mode-Coupling Theory of the Glass Transition: A Primer
- Caging dynamics in a granular fluid
- Glass Rheology: From mode-coupling theory to a dynamical yield criterion
- Jamming, Yielding and Rheology of Weakly Vibrated Granular Media
- Effect of Composition Changes on the Structural Relaxation of a Binary Mixture
- Yield stress and shear-banding in granular suspensions
- Approach to jamming in an air-fluidized granular bed
- Glass Transition for Driven Granular Fluids
- The Origin of a Repose Angle: Kinetics of Rearrangements for Granular Materials
- Flow in linearly sheared two dimensional foams: from bubble to bulk scale
- Viscous-inertial transition in dense granular suspension
- Linear hydrodynamics for driven granular gases
- Yield-stress transition in suspensions of deformable droplets
- Unified rheology of vibro-fluidized dry granular media: From slow dense flows to fast gas-like regimes
- Rheology of inelastic hard spheres at finite density and shear rate
- Taylor-Couette flow of hard-sphere suspensions: Overview of current understanding
- Integration through transients for inelastic hard sphere fluids