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The continuum theory of partially fluidized shear granular flows is tested and calibrated using two dimensional soft particle molecular dynamics simulations. The theory is based on the relaxational dynamics of the order parameter that…

Materials Science · Physics 2009-11-10 D. Volfson , L. S. Tsimring , I. S. Aranson

Using discrete simulations, we investigate the behavior of a model granular material within an annular shear cell. Specifically, two-dimensional assemblies of disks are placed between two circular walls, the inner one rotating with…

Materials Science · Physics 2009-11-13 Georg Koval , Jean-Noël Roux , Alain Corfdir , François Chevoir

The spatial correlation function of the momentum density in the three-dimensional dilute sheared granular fluids is theoretically investigated. The existence of the long-range correlation is verified through both the analytic calculation…

Statistical Mechanics · Physics 2009-11-13 Michio Otsuki , Hisao Hayakawa

We carry out a detailed comparison of soft particle molecular dynamics simulations with the theory of partially fluidized shear granular flows. We verify by direct simulations a constitutive relation based on the separation of the shear…

Soft Condensed Matter · Physics 2007-05-23 Dmitri Volfson , Lev S. Tsimring , Igor S. Aranson

The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

Statistical Mechanics · Physics 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

Slow and dense granular flows often exhibit narrow shear bands, making them ill-suited for a continuum description. However, smooth granular flows have been shown to occur in specific geometries such as linear shear in the absence of…

Soft Condensed Matter · Physics 2009-11-11 Martin Depken , Martin van Hecke , Wim van Saarloos

A unifying framework to describe dense flows of dry, deformable grains is proposed. Perturbative analysis of a granular temperature equation describing flows with contact stresses, supported by the recovery of the nonlocal granular fluidity…

Soft Condensed Matter · Physics 2026-01-06 Benjamin M. Alessio , Matthew R. Edwards , Ching-Yao Lai

Linear gyrokinetic simulations covering the collisional -- collisionless transitional regime of the tearing instability are performed. It is shown that the growth rate scaling with collisionality agrees well with that predicted by a…

Plasma Physics · Physics 2015-05-30 R. Numata , W. Dorland , G. G. Howes , N. F. Loureiro , B. N. Rogers , T. Tatsuno

We analyze the main features of granular shear flow through experimental measurements in a Couette geometry and a comparison to a locally Newtonian, continuum model of granular flow. The model is based on earlier hydrodynamic models,…

Statistical Mechanics · Physics 2021-05-26 L. Bocquet , W. Losert , D. Schalk , T. C. Lubensky , J. P. Gollub

The rheology of dense granular flows is studied numerically in a shear cell controlled at constant pressure and shear stress, confined between two granular shear flows. We show that a liquid state can be achieved even far below the yield…

Soft Condensed Matter · Physics 2018-01-08 Mehdi Bouzid , Martin Trulsson , Philippe Claudin , Eric Clément , Bruno Andreotti

We investigate the evolution of multi-scale mechanical properties towards the macroscopic mechanical instability in frictional granular media under multiaxial compressive loading. Spatial correlations of shear stress redistribution…

Statistical Mechanics · Physics 2015-06-11 Florent Gimbert , David Amitrano , Jérôme Weiss

In the classical theory of fluid mechanics a linear relationship between the shear stress and the symmetric velocity gradient tensor is often assumed. Even when a nonlinear relationship is assumed, it is typically formulated in terms of an…

Numerical Analysis · Mathematics 2019-12-20 Patrick E. Farrell , Pablo Alexei Gazca-Orozco , Endre Süli

We report on a numerical study of the shear flow of a simple two-dimensional model of a granular material under controlled normal stress between two parallel smooth, frictional walls, moving with opposite velocities $\pm$V . Discrete…

Soft Condensed Matter · Physics 2012-10-15 Zahra Shojaaee , Jean-Noël Roux , François Chevoir , Wolf Dietrich

We report on measurements of self-diffusion coefficients in discrete numerical simulations of steady, homogeneous, collisional shearing flows of nearly identical, frictional, inelastic spheres. We focus on a range of relatively high solid…

Soft Condensed Matter · Physics 2021-04-01 Riccardo Artoni , Michele Larcher , James Jenkins , Patrick Richard

Individual constituent balance equations are often used to derive expressions for species-specific segregation velocities in flows of dense granular mixtures. We propose a semiempirical expression for the interspecies momentum exchange in…

Soft Condensed Matter · Physics 2020-11-19 Yifei Duan , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

The form of the stress tensor is investigated in smooth, dense granular flows which are generated in split-bottom shear geometries. We find that, within a fluctuation fluidized spatial region, the form of the stress tensor is directly…

Soft Condensed Matter · Physics 2009-11-11 Martin Depken , Jeremy B. Lechman , Martin van Hecke , Wim van Saarloos , Gary S. Grest

Dense suspensions of particles dispersed in liquids are central to industrial and geophysical processes and serve as model systems for out-of-equilibrium soft matter. At high particle concentrations, they exhibit stress-dependent rheology,…

Soft Condensed Matter · Physics 2026-03-16 Orhun Ayar , Bhargav Sriram Siddani , Ishan Srivastava , Abhinendra Singh

We investigate the bulk rheology of dense granular flow down a rough slope, where the density profile has been found to show a plateau except for the boundary layers in simulations [Silbert {\it et al.}, Phys. Rev. E {\bf 64}, 051302…

Statistical Mechanics · Physics 2009-11-10 Namiko Mitarai , Hiizu Nakanishi

The local granular rheology is investigated numerically in turbulent bedload transport. Considering spherical particles, steady uniform configurations are simulated using a coupled fluid-discrete-element model. The stress tensor is computed…

Geophysics · Physics 2016-11-08 Raphael Maurin , Julien Chauchat , Philippe Frey

One prototypical instability in granular flows is the shear-banding instability, in which a uniform granular shear flow breaks into alternating bands of dense and dilute clusters of particles having low and high shear (shear stress or shear…

Soft Condensed Matter · Physics 2019-09-18 Priyanka Shukla , Lima Biswas , Vinay Kumar Gupta