Mass and heat fluxes for a binary granular mixture at low-density

Details Mass and heat fluxes for a binary granular mixture at low-density Mass and heat fluxes for a binary granular mixture at low-density

2006-02-08

arxiv.org/abs/cond-mat/0602198v1

Phys. Fluids 18, 083305 (2006)

Physics

Condensed Matter

Statistical Mechanics

10 figures

Scientific paper

10.1063/1.2336755

The Navier--Stokes order hydrodynamic equations for a low density granular mixture obtained previously from the Chapman--Enskog solution to the Boltzmann equation are considered further. The six transport coefficients associated with mass and heat flux in a binary mixture are given as functions of the mass ratio, size ratio, composition, and coefficients of restitution. Their quantitative variation across this parameter set is demonstrated using low order Sonine polynomial approximations to solve the exact integral equations. The results are also used to quantify the violation of the Onsager reciprocal relations for a granular mixture. Finally, the stability of the homogeneous cooling state is discussed.

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