Continuum theory of partially fluidized granular flows
arXiv:cond-mat/0109358 · doi:10.1103/PhysRevE.65.061303
Abstract
A continuum theory of partially fluidized granular flows is developed. The theory is based on a combination of the equations for the flow velocity and shear stresses coupled with the order parameter equation which describes the transition between flowing and static components of the granular system. We apply this theory to several important granular problems: avalanche flow in deep and shallow inclined layers, rotating drums and shear granular flows between two plates. We carry out quantitative comparisons between the theory and experiment.
28 pages, 23 figures, submitted to Phys. Rev. E
References in corpus (3)
Cited by in corpus (28)
- Patterns and Collective Behavior in Granular Media: Theoretical Concepts
- Non-local rheology in dense granular flows -- Revisiting the concept of fluidity
- Pattern formation driven by cross--diffusion in a 2D domain
- Avalanche Dynamics in Wet Granular Materials
- Partially fluidized shear granular flows: Continuum theory and MD simulations
- Close-packed floating clusters: granular hydrodynamics beyond the freezing point?
- Rheology of surface granular flows
- A stochastic flow rule for granular materials
- Numerical simulation of 2D steady granular flows in rotating drum: On surface flows rheology
- General scaling relations for locomotion in granular media
- On a cross-diffusion segregation problem arising from a model of interacting particles
- Transverse Instability of Avalanches in Granular Flows down Incline
- Three-dimensional granular flow continuum modeling via material point method with hyperelastic nonlocal granular fluidity
- Relevance of visco-plastic theory in a multi-directional inhomogeneous granular flow
- Lubrication effects on the flow of wet granular materials
- Applying GSH to a Wide Range of Experiments in Granular Media
- Noise influence on solid-liquid transition of ultrathin lubricant film
- Impact Excitation of a Seismic Pulse and Vibrational Normal Modes on Asteroid Bennu and Associated Slumping of Regolith
- Non-local effects reflect the jamming criticality in granular flows of frictionless particles
- Euler-like modelling of dense granular flows: application to a rotating drum
- Interplay between hysteresis and nonlocality during onset and arrest of flow in granular materials
- Uphill solitary waves in granular flows
- Hydrodynamic instabilities in shear flows of cohesive granular particles
- Why Granular Media Are Thermal, and Quite Normal, After All
- Deterministic particle method approximation of a contact inhibition cross-diffusion problem
- Existence theorem for homogeneous incompressible Navier-Stokes equation with variable rheology
- Granular Solid Hydrodynamics (GSH): from Quasi-Static Motion to Rapid Dense Flow
- A network model for granular statics with impenetrability constraints