Artículo de revista
Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid
Fecha
2018Registro en:
Physical Review E, Volumen 98, Issue 5, 2018
24700053
24700045
10.1103/PhysRevE.98.052904
Autor
Garzó, Vicente
Brito, Ricardo
Soto Bertrán, Rodrigo
Institución
Resumen
The Navier–Stokes transport coefficients for a model of a confined quasi-two-dimensional granular
gas of smooth inelastic hard spheres are derived from the Enskog kinetic equation. A normal solution
to this kinetic equation is obtained via the Chapman–Enskog method for states close to the local
homogeneous state. The analysis is performed to first order in spatial gradients, allowing the
identification of the Navier–Stokes transport coefficients associated with the heat and momentum
fluxes. The transport coefficients are determined from the solution to a set of coupled linear integral
equations analogous to those for elastic collisions. These integral equations are solved by using the
leading terms in a Sonine polynomial expansion. The results are particularized to the relevant state
with stationary temperature, where explicit expressions for the Navier–Stokes transport coefficients
are given in terms of the coefficient of restitution and the solid volume fraction. The present work
extends to moderate densities previous results [Brey et al. Phys. Rev. E 91, 052201 (2015)] derived
for low-density granular gases.