Thermal segregation of intruders in the Fourier state of a granular gas

Abstract

A low density binary mixture of granular gases is considered within the Boltzmann kinetic theory. One component, the intruders, is taken to be dilute with respect to the other, and thermal segregation of the two species is described for a special exact solution to the Boltzmann equation. This solution has a macroscopic hydrodynamic representation with a constant temperature gradient and is referred to as the Fourier state. The thermal diffusion factor characterizing conditions for segregation is calculated without the usual restriction to Navier-Stokes hydrodynamics. Molecular dynamics simulations are reported for comparison with the results for this idealized Fourier state.

References in corpus (6)

• Energy partition and segregation for an intruder in a vibrated granular system under gravity
• Thermal diffusion segregation in granular binary mixtures described by the Enskog equation
• Mass transport of impurities in a moderately dense granular gas
• Dynamics of a hard sphere granular impurity
• Thermal Segregation Beyond Navier-Stokes
• The Fourier state of a dilute granular gas described by the inelastic Boltzmann equation

Cited by in corpus (5)

• Transport coefficients for driven granular mixtures at low-density
• Diffusion transport coefficients for granular binary mixtures at low density. Thermal diffusion segregation
• Steady base states for non-Newtonian granular hydrodynamics
• Hydrodynamic granular segregation induced by boundary heating and shear
• Heat flux of a granular gas with homogeneous temperature