Issue |
EPL
Volume 96, Number 6, December 2011
|
|
---|---|---|
Article Number | 64002 | |
Number of page(s) | 6 | |
Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
DOI | https://doi.org/10.1209/0295-5075/96/64002 | |
Published online | 07 December 2011 |
A kinetic ellipsoidal BGK model for a binary gas mixture
Department of Mathematics, Parma University - Parco Area delle Scienze 53/A, I-43124 Parma, Italy, EU
Received:
19
September
2011
Accepted:
1
November
2011
An ellipsoidal BGK model is proposed for a binary mixture of rarefied gases in the frame of kinetic theory. It fulfils the crucial properties of the actual Boltzmann equation (collision invariants, equilibria, entropy dissipation), and introduces a further constraint on velocity equalization of the two species. The model features two disposable relaxation parameters which can be used to fit exactly, in the continuum limit, Fick's law for diffusion velocities and Newton's law for the viscous stress in the relevant set of Navier-Stokes equations. Positivity of temperature fields is guaranteed by a physically meaningful restriction on the parameters themselves.
PACS: 47.45.Ab – Kinetic theory of gases / 51.20.+d – Viscosity, diffusion, and thermal conductivity / 47.10.A- – Mathematical formulations
© EPLA, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.