Article
Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
Author/s | Brey Abalo, José Javier
Maynar Blanco, Pablo García de Soria Lucena, María Isabel |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2020 |
Deposit Date | 2021-01-26 |
Published in |
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Abstract | The local balance equations for the density, momentum, and energy of a dilute gas of elastic or inelastic hard spheres, strongly confined between two parallel hard plates are obtained. The starting point is a Boltzmann-like ... The local balance equations for the density, momentum, and energy of a dilute gas of elastic or inelastic hard spheres, strongly confined between two parallel hard plates are obtained. The starting point is a Boltzmann-like kinetic equation, recently derived for this system. As a consequence of the confinement, the pressure tensor and the heat flux contain, in addition to the terms associated to the motion of the particles, collisional transfer contributions, similar to those that appear beyond the dilute limit. The complexity of these terms, and of the kinetic equation itself, compromise the potential of the equation to describe the rich phenomenology observed in this kind of systems. For this reason, a simpler model equation based on the Boltzmann equation is proposed. The model is formulated to keep the main properties of the underlying equation, and it is expected to provide relevant information in more general states than the original equation. As an illustration, the solution describing a macroscopic state with uniform temperature, but a density gradient perpendicular to the plates is considered. This is the equilibrium state for an elastic system, and the inhomogeneous cooling state for the case of inelastic hard spheres. The results are in good agreement with previous results obtained directly from the Boltzmann equation. |
Project ID. | FIS2017-87117-P |
Citation | Brey Abalo, J.J., Maynar Blanco, P. y García de Soria Lucena, M.I. (2020). Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres. Journal of Statistical Mechanics: Theory and Experiment, 2020 (3), 034002. |
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