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| Main Authors: | , , |
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| Format: | Preprint |
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2018
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1803.03429 |
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| _version_ | 1866912924257222656 |
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| author | Garzó, Vicente Brito, Ricardo Soto, Rodrigo |
| author_facet | Garzó, Vicente Brito, Ricardo Soto, Rodrigo |
| contents | 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 \emph{et al.} Phys. Rev. E \textbf{91}, 052201 (2015)] derived for low-density granular gases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1803_03429 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid Garzó, Vicente Brito, Ricardo Soto, Rodrigo Statistical Mechanics 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 \emph{et al.} Phys. Rev. E \textbf{91}, 052201 (2015)] derived for low-density granular gases. |
| title | Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/1803.03429 |