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Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid

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Garzó, Vicente and Brito López, Ricardo and Soto, Rodrigo (2018) Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid. Physical review E, 98 (5). ISSN 2470-0045

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Official URL: http://dx.doi.org/10.1103/PhysRevE.98.052904


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Abstract

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.


Item Type:Article
Additional Information:

©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.

Uncontrolled Keywords:Binary-mixture; Hard-spheres; Low-density; Hydrodynamics; Gases; Transport; Flows; Media
Subjects:Sciences > Physics > Thermodynamics
ID Code:51575
Deposited On:03 Apr 2019 10:40
Last Modified:03 Apr 2019 11:06

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