Thermal Segregation Beyond Navier-Stokes

Abstract

A dilute suspension of impurities in a low density gas is described by the Boltzmann and Boltzman-Lorentz kinetic theory. Scaling forms for the species distribution functions allow an exact determination of the hydrodynamic fields, without restriction to small thermal gradients or Navier-Stokes hydrodynamics. The thermal diffusion factor characterizing sedimentation is identified in terms of collision integrals as functions of the mechanical properties of the particles and the temperature gradient. An evaluation of the collision integrals using Sonine polynomial approximations is discussed. Conditions for segregation both along and opposite the temperature gradient are found, in contrast to the Navier-Stokes description for which no segregation occurs.

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References in corpus (3)

• Brazil-nut effect versus reverse Brazil-nut effect in a moderately dense granular fluid
• Segregation in granular binary mixtures: Thermal diffusion
• Hydrodynamic Character of the Non-equipartition of Kinetic Energy in Binary Granular Gases

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• Diffusion transport coefficients for granular binary mixtures at low density. Thermal diffusion segregation
• Steady base states for non-Newtonian granular hydrodynamics
• Charging changes contact composition in binary sphere packings
• Thermal segregation of intruders in the Fourier state of a granular gas
• Hydrodynamic granular segregation induced by boundary heating and shear