Thermal Segregation Beyond Navier-Stokes

Details Thermal Segregation Beyond Navier-Stokes Thermal Segregation Beyond Navier-Stokes

2011-02-07

arxiv.org/abs/1102.1374v1

Physics

Condensed Matter

Statistical Mechanics

9 figures

Scientific paper

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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