2006/02/08 by Vicente Garzó, Vicente Garzo, Jose Maria Montanero +2 · 42 citations
Engineering · Physics and Astronomy · #Binary number #Boltzmann equation #Flux (metallurgy) #Granular flow and fluidized beds #Heat and Mass Transfer in Porous Media #Heat flux #Homogeneous #Mass flux #Polynomial #Stability (learning theory) #Thermoelastic and Magnetoelastic Phenomena #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.2336755
published in Physics of Fluids 18(8) (American Institute of Physics) · 10 figures
arxiv created 2006/02/08 · openalex publication_date 2006/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.