<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Starting from a kinetic BGK-model for a rarefied polyatomic gas, based on a molecular structure of discrete internal energy levels, an asymptotic Chapman-Enskog procedure is developed in the asymptotic continuum limit in order to derive consistent fluid-dynamic equations for macroscopic fields at Navier-Stokes level. In this way, the model allows to treat the gas as a mixture of mono-atomic species. Explicit expressions are given not only for dynamical pressure, but also for shear stress, diffusion velocities, and heat flux. The analysis is shown to deal properly also with a mixture of reactive gases, endowed for simplicity with translational degrees of freedom only, in which frame analogous results can be achieved.</p></abstract>

Starting from a kinetic BGK-model for a rarefied polyatomic gas, based on a molecular structure of discrete internal energy levels, an asymptotic Chapman-Enskog procedure is developed in the asymptotic continuum limit in order to derive consistent fluid-dynamic equations for macroscopic fields at Navier-Stokes level. In this way, the model allows to treat the gas as a mixture of mono-atomic species. Explicit expressions are given not only for dynamical pressure, but also for shear stress, diffusion velocities, and heat flux. The analysis is shown to deal properly also with a mixture of reactive gases, endowed for simplicity with translational degrees of freedom only, in which frame analogous results can be achieved.

Hydrodynamic limits of kinetic equations for polyatomic and reactive gases

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Hydrodynamic limits of kinetic equations for polyatomic and reactive gases"}

Starting from a kinetic BGK-model for a rarefied polyatomic gas, based on a molecular structure of discrete internal energy levels, an asymptotic...

多原子和反应气体动力学方程的流体力学极限

在线发布:2017年3月22日

页面范围： 23 - 42

收到:2016年12月5日

认可的:2017年2月8日

内政部： https://doi.org/10.1515/caim-2017-0002

关键词
动力学模型,流体动力极限,多原子气体,化学反应,运输系数

©2017年

本作品是根据Creative Commons Attribution-NonCommercial-NoDerivatives 4.0许可证授权的。