Power-law scaling in granular rheology across flow geometries

Abstract

Based on discrete element method simulations, we propose a new form of the constitution equation for granular flows independent of packing fraction. Rescaling the stress ratio $\mu$ by a power of dimensionless temperature $\Theta$ makes the data from a wide set of flow geometries collapse to a master curve depending only on the inertial number $I$. The basic power-law structure appears robust to varying particle properties (e.g. surface friction) in both 2D and 3D systems. We show how this rheology fits and extends frameworks such as kinetic theory and the Nonlocal Granular Fluidity model.

arXiv comment11 pages with 11 figures and 1 video (ancillary file)

References in corpus (18)

• On dense granular flows
• A constitutive law for dense granular flows
• Rheophysics of dense granular materials : Discrete simulation of plane shear flows
• Granular flow down an inclined plane: Bagnold scaling and rheology
• Vibrations and diverging length scales near the unjamming transition
• A kinetic theory of plastic flow in soft glassy materials
• Creep motion in a granular pile exhibiting steady surface flow
• Granular Shear Flow Dynamics and Forces : Experiment and Continuum Theory
• Turbulent-like fluctuations in quasistatic flow of granular media
• Annular shear of cohesionless granular materials: from inertial to quasistatic regime
• Velocity correlations in dense granular flows
• A Microscopic Description of the Granular Fluidity Field in Nonlocal Flow Modeling
• Flow-induced Agitations Create a Granular Fluid
• Role of vibrations in the jamming and unjamming of grains discharging from a silo
• Pre-avalanche instabilities in a granular pile
• Initiation of granular surface flows in a narrow channel
• Continuum approach to wide shear zones in quasi-static granular matter
• Nonlocal Granular Rheology: Role of Pressure and Anisotropy

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• Single-dopant band bending fluctuations in MoSe${}_2$ measured with electrostatic force microscopy
• Anomalous Scaling of Aeolian Sand Transport Reveals Coupling to Bed Rheology
• Coupled continuum modeling of size-segregation driven by shear-strain-rate gradients and flow in dense, bidisperse granular media
• Inertial Force Transmission in Dense Granular Flows
• Basal layer of granular flow down smooth and rough inclines: kinematics, slip laws and rheology
• Self-diffusion in inhomogeneous granular shearing flows
• Scaling laws for velocity profile of granular flow in rotating drums
• An adaptive, data-driven multiscale approach for dense granular flows