<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...

Hydrodynamic limits of kinetic equations for polyatomic and reactive gases

Published Online: Mar 22, 2017

Page range: 23 - 42

Received: Dec 05, 2016

Accepted: Feb 08, 2017

DOI: https://doi.org/10.1515/caim-2017-0002

Keywords
Kinetic models, Hydrodynamic limit, Polyatomic gases, Chemical reaction, Transport coefficients

© 2017

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

Hydrodynamic limits of kinetic equations for polyatomic and reactive gases

Published Online: Mar 22, 2017

Page range: 23 - 42

Received: Dec 05, 2016

Accepted: Feb 08, 2017

DOI: https://doi.org/10.1515/caim-2017-0002

KeywordsKinetic models, Hydrodynamic limit, Polyatomic gases, Chemical reaction, Transport coefficients

© 2017

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

Keywords
Kinetic models, Hydrodynamic limit, Polyatomic gases, Chemical reaction, Transport coefficients