Hydrodynamic profiles for an impurity in a open vibrated granular gas

Abstract

The hydrodynamic state of an impurity immersed in a low density granular gas is analyzed. Explicit expressions for the temperature and density fields of the impurity in terms of the hydrodynamic fields of the gas are derived. It is shown that the ratio between the temperatures of the two components, measuring the departure from energy equipartition, only depends on the mechanical properties of the particles, being therefore constant in the bulk of the system. This ratio plays an important role in determining the density profile of the intruder and its position with respect to the gas, since it determines the sign of the pressure diffusion coefficient. The theoretical predictions are compared with molecular dynamics simulation results for the particular case of the steady state of an open vibrated granular system in absence of macroscopic fluxes, and a satisfactory agreement is found.

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• Competition of Brazil nut effect, buoyancy, and inelasticity induced segregation in a granular mixture
• Navier-Stokes transport coefficients of $d$-dimensional granular binary mixtures at low density
• Modified Sonine approximation for granular binary mixtures
• Segregation of an intruder in a heated granular dense gas
• Diffusion transport coefficients for granular binary mixtures at low density. Thermal diffusion segregation
• Hydrodynamic Character of the Non-equipartition of Kinetic Energy in Binary Granular Gases
• Navier--Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture
• Segregation by thermal diffusion in granular shear flows
• Tracer diffusion coefficients in a moderately dense granular suspension. Stability analysis and thermal diffusion segregation
• Generalized transport coefficients for inelastic Maxwell mixtures under shear flow
• Granular Rough Sphere in a Low-Density Thermal Bath
• Diffusion of impurities in a moderately dense confined granular gas
• Computer simulations of an impurity in a granular gas under planar Couette flow
• Impurity in a granular gas under nonlinear Couette flow
• Kinetic Theory for Binary Granular Mixtures at Low-Density
• A note on the violation of the Einstein relation in a driven moderately dense granular gas
• Mean square displacement of intruders in freely cooling multicomponent granular mixtures
• Velocity fluctuations of a piston confining a vibrated granular gas
• Kinetic theory of polydisperse granular mixtures: influence of the partial temperatures on transport properties. A review