Have a personal or library account? Click to login
Hydrodynamic limits of kinetic equations for polyatomic and reactive gases Cover

Hydrodynamic limits of kinetic equations for polyatomic and reactive gases

By: M. Bisi and  G. Spiga  
Open Access
|Mar 2017

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.

Language: English
Page range: 23 - 42
Submitted on: Dec 5, 2016
Accepted on: Feb 8, 2017
Published on: Mar 22, 2017
Published by: Italian Society for Applied and Industrial Mathemathics
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2017 M. Bisi, G. Spiga, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.