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We use existing 3D Discrete Element simulations of simple shear flows of spheres to evaluate the radial distribution function at contact that enables kinetic theory to correctly predict the pressure and the shear stress, for different…

Soft Condensed Matter · Physics 2014-06-03 Dalila Vescovi , Diego Berzi , Patrick Richard , Nicolas Brodu

We use molecular dynamics simulations to study the behavior of a compressible Lennard-Jones fluid in simple shear flow in a two-dimensional nanochannel. The system is equilibrated in the fluid phase close to the triple point at which gas,…

Soft Condensed Matter · Physics 2017-03-31 Madhu Priya , Yitzhak Rabin

In this letter, following an extensive experimental validation, we perform constant-volume shearing simulations of non-Brownian granular suspensions using the discrete element method coupled with the lattice Boltzmann method. We choose a…

Soft Condensed Matter · Physics 2023-07-18 Zaohui Zhang , Teng Man , Herbert E. Huppert , Sergio Andres Galindo-Torres

Simple homogeneous shear flows of frictionless, deformable particles are studied by particle simulations at large shear rates and for differently soft, deformable particles. The particle stiffness sets a time-scale that can be used to scale…

Soft Condensed Matter · Physics 2024-07-25 Dalila Vescovi , Stefan Luding

Non-Newtonian transport properties of a dilute gas of inelastic hard spheres immersed in a molecular gas are determined. We assume that the granular gas is sufficiently rarefied and hence, the state of the molecular gas is not disturbed by…

Soft Condensed Matter · Physics 2024-06-05 Rubén Gómez González , Moisés García Chamorro , Vicente Garzó

The existence of two stationary solutions of the nonlinear Boltzmann equation for inelastic hard spheres or disks is investigated. They are restricted neither to weak dissipation nor to small gradients. The one-particle distribution…

Soft Condensed Matter · Physics 2013-05-06 J. Javier Brey , N. Khalil , M. J. Ruiz-Montero

We investigate shear-induced crystallization in a very dense flow of mono-disperse inelastic hard spheres. We consider a steady plane Couette flow under constant pressure and neglect gravity. We assume that the granular density is greater…

Soft Condensed Matter · Physics 2009-11-11 Evgeniy Khain , Baruch Meerson

Hydrodynamic equations are used to identify the final state reached by a freely evolving granular gas above but close to its shear instability. The theory predicts the formation of a two bands shear state with a steady density profile.…

Statistical Mechanics · Physics 2009-11-13 J. Javier Brey , M. J. Ruiz-Montero , A. Dominguez

The Boltzmann kinetic equation for dilute granular suspensions under simple (or uniform) shear flow (USF) is considered to determine the non-Newtonian transport properties of the system. In contrast to previous attempts based on a…

Soft Condensed Matter · Physics 2024-03-18 Rubén Gómez González , Vicente Garzó

The shearing instability of a dilute granular mixture composed of smooth inelastic hard spheres or disks is investigated. By using the Navier-Stokes hydrodynamic equations, it is shown that the scaled transversal velocity mode exhibits a…

Statistical Mechanics · Physics 2015-06-15 J. Javier Brey , M. J. Ruiz-Montero

Transport coefficients associated with the mass flux of an impurity immersed in a granular gas under simple shear flow are determined from the inelastic Boltzmann equation. A normal solution is obtained via a Chapman-Enskog-like expansion…

Statistical Mechanics · Physics 2009-11-11 Vicente Garzo

The uniform shear flow for the rarefied gas is governed by the time-dependent spatially homogeneous Boltzmann equation with a linear shear force. The main feature of such flow is that the temperature may increase in time due to the shearing…

Analysis of PDEs · Mathematics 2021-11-03 Renjun Duan , Shuangqian Liu

The homogeneous state of a binary mixture of smooth inelastic hard disks or spheres is analyzed. The mixture is driven by a thermostat composed by two terms: a stochastic force and a drag force proportional to the particle velocity. The…

Statistical Mechanics · Physics 2014-04-24 Nagi Khalil , Vicente Garzó

The solution of the Enskog equation for the one-body velocity distribution of a moderately dense, arbitrary mixture of inelastic hard spheres undergoing planar shear flow is described. A generalization of the Grad moment method, implemented…

Soft Condensed Matter · Physics 2009-11-10 James F. Lutsko

Granular gaseous mixtures under rapid flow conditions are usually modeled by a multicomponent system of smooth inelastic hard spheres with constant coefficients of normal restitution. In the low density regime an adequate framework is…

Statistical Mechanics · Physics 2009-11-13 Francisco Vega Reyes , Vicente Garzo , Andres Santos

A kinetic model for granular mixtures is considered to study three different non-equilibrium situations. The model is based on the equivalence between a gas of elastic hard spheres subjected to a drag force proportional to the particle…

Soft Condensed Matter · Physics 2025-02-27 Pablo Avilés , David González Méndez , Vicente Garzó

The Boltzmann equation for inelastic Maxwell models is considered to determine the velocity moments through fourth degree in the simple shear flow state. First, the rheological properties (which are related to the second-degree velocity…

Soft Condensed Matter · Physics 2011-11-10 Andres Santos , Vicente Garzo

The transport coefficients of a dilute gas of inelastic hard spheres immersed in a molecular gas are determined. We assume that the number density of the granular gas is much smaller than that of the surrounding molecular gas, so that the…

Soft Condensed Matter · Physics 2022-06-07 Rubén Gómez González , Vicente Garzó

The state of a single-species monatomic gas from near-equilibrium to highly nonequilibrium conditions is investigated using analytical and numerical methods. Normal solutions of the Boltzmann equation for Fourier flow (uniform heat flux)…

Statistical Mechanics · Physics 2007-05-23 M. A. Gallis , J. R. Torczynski , D. J. Rader , M. Tij , A. Santos

We perform molecular dynamics simulations to characterize the occurrence of inhomogeneous shear flows in soft jammed materials. We use rough walls to impose a simple shear flow and study the athermal motion of jammed assemblies of soft…

Soft Condensed Matter · Physics 2012-02-23 Pinaki Chaudhuri , Ludovic Berthier , Lydéric Bocquet