Navier-Stokes transport coefficients of $d$-dimensional granular binary mixtures at low density

Details Navier-Stokes transport coefficients of $d$-dimensional granular binary mixtures at low density Navier-Stokes transport coefficients of $d$-dimensional granular binary mixtures at low density

2006-04-24

arxiv.org/abs/cond-mat/0604552v2

J. Stat. Phys. 129, 27 (2007)

Physics

Condensed Matter

Statistical Mechanics

6 figures, to be published in J. Stat. Phys

Scientific paper

10.1007/s10955-007-9357-2

The Navier-Stokes transport coefficients for binary mixtures of smooth inelastic hard disks or spheres under gravity are determined from the Boltzmann kinetic theory by application of the Chapman-Enskog method for states near the local homogeneous cooling state. It is shown that the Navier-Stokes transport coefficients are not affected by the presence of gravity. As in the elastic case, the transport coefficients of the mixture verify a set of coupled linear integral equations that are approximately solved by using the leading terms in a Sonine polynomial expansion. The results reported here extend previous calculations [V. Garz\'o and J. W. Dufty, Phys. Fluids {\bf 14}, 1476 (2002)] to an arbitrary number of dimensions. To check the accuracy of the Chapman-Enskog results, the inelastic Boltzmann equation is also numerically solved by means of the direct simulation Monte Carlo method to evaluate the diffusion and shear viscosity coefficients for hard disks. The comparison shows a good agreement over a wide range of values of the coefficients of restitution and the parameters of the mixture (masses and sizes).

Affiliated with

Also associated with

No associations

Rating

Navier-Stokes transport coefficients of $d$-dimensional granular binary mixtures at low density does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Navier-Stokes transport coefficients of $d$-dimensional granular binary mixtures at low density, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Navier-Stokes transport coefficients of $d$-dimensional granular binary mixtures at low density will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583703