RT Journal Article
T1 Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid
A1 Garzó, Vicente
A1 Brito López, Ricardo
A1 Soto, Rodrigo
AB 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.
PB Amer Physical Soc
SN 2470-0045
YR 2018
FD 2018-11-07
LK https://hdl.handle.net/20.500.14352/13124
UL https://hdl.handle.net/20.500.14352/13124
LA eng
NO ©2018 American Physical Society. The research of V.G. has been supported by the Spanish Government through Grant No. FIS2016-76359-P, partially financed by FEDER funds. The research of R.B. and R.S. has been supported by the Spanish Government, Grants No. FIS2014-52486-R and No. FIS2017-83709-R. R.S. has been supported by the Fondecyt Grant No. 1140778.
NO Ministerio de Economía y Competitividad (MINECO)/FEDER
NO Fondecyt
DS Docta Complutense
RD 4 abr 2025