Abstract
A dilute suspension of impurities in a low-density gas is described by the Boltzmann and Boltzman–Lorentz kinetic theories. Scaling forms for the species distribution functions allow the determination of the space dependence of the hydrodynamic fields without restriction to small thermal gradients or Navier–Stokes hydrodynamics. The thermal diffusion factor characterizing segregation is identified in terms of collision integrals as a function of the mechanical properties of the particles and the temperature gradient. An evaluation of the collision integrals using Sonine polynomial approximations is discussed. The conditions for segregation both along and opposite to the temperature gradient are obtained and contrasted with the leading order Navier–Stokes approximation.
Highlights
Consider a granular mixture of two mechanically different species in a steady state with number densities n0(r) and n(r), respectively
The latter is at sufficiently low density that the granular Boltzmann kinetic theory applies for its intra-species collisions
The description of a low density granular gas with a dilute concentration of impurities has been given in terms of solutions to the coupled Boltzmann and Boltzmann-Lorentz kinetic equations
Summary
Consider a granular mixture of two mechanically different species in a steady state with number densities n0(r) and n(r), respectively. One component is dilute with respect to the other, n0(r)/n(r)
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
