Computer simulations of an impurity in a granular gas under planar Couette flow
arXiv:1105.1742 · doi:10.1088/1742-5468/2011/07/P07005
Abstract
We present in this work results from numerical solutions, obtained by means of the direct simulation Monte Carlo (DSMC) method, of the Boltzmann and Boltzmann--Lorentz equations for an impurity immersed in a granular gas under planar Couette flow. The DSMC results are compared with the exact solution of a recent kinetic model for the same problem. The results confirm that, in steady states and over a wide range of parameter values, the state of the impurity is enslaved to that of the host gas: it follows the same flow velocity profile, its concentration (relative to that of the granular gas) is constant in the bulk region, and the impurity/gas temperature ratio is also constant. We determine also the rheological properties and nonlinear hydrodynamic transport coefficients for the impurity, finding a good semi-quantitative agreement between the DSMC results and the theoretical predictions.
23 pages, 11 figures; v2: minor changes
References in corpus (25)
- Patterns and Collective Behavior in Granular Media: Theoretical Concepts
- Size separation in vibrated granular matter
- Enskog Theory for Polydisperse Granular Mixtures. I. Navier-Stokes order Transport
- Hydrodynamics for a granular binary mixture at low density
- Enskog Theory for Polydisperse Granular Mixtures II. Sonine Polynomial Approximation
- Inherent Rheology of a Granular Fluid in Uniform Shear Flow
- Energy partition and segregation for an intruder in a vibrated granular system under gravity
- Segregation in a fluidized binary granular mixture: Competition between buoyancy and geometric forces
- Brazil-nut effect versus reverse Brazil-nut effect in a moderately dense granular fluid
- Segregation in granular binary mixtures: Thermal diffusion
- The rheology of dense, polydisperse granular fluids under shear
- Mass transport of impurities in a moderately dense granular gas
- Nonlinear Couette flow in a low density granular gas
- Segregation by thermal diffusion of an intruder in a moderately dense granular fluid
- Hydrodynamic profiles for an impurity in a open vibrated granular gas
- Non-Newtonian granular hydrodynamics. What do the inelastic simple shear flow and the elastic Fourier flow have in common?
- Steady base states for Navier-Stokes granular hydrodynamics with boundary heating and shear
- Uniform shear flow in dissipative gases. Computer simulations of inelastic hard spheres and (frictional) elastic hard spheres
- Modified Sonine approximation for granular binary mixtures
- Granular mixtures modeled as elastic hard spheres subject to a drag force
- Class of dilute granular Couette flows with uniform heat flux
- Segregation by thermal diffusion in granular shear flows
- An exact solution of the inelastic Boltzmann equation for the Couette flow with uniform heat flux
- Impurity in a granular gas under nonlinear Couette flow
- Rheological properties of a granular impurity in the Couette flow
Cited by in corpus (5)
- Hydrodynamic Burnett equations for inelastic Maxwell models of granular gases
- Segregation of an intruder in a heated granular dense gas
- Steady base states for non-Newtonian granular hydrodynamics
- Unsteady non-Newtonian hydrodynamics in granular gases
- Thermal properties of an impurity immersed in a granular gas of rough hard spheres