Multi-temperature Euler hydrodynamics for a reacting gas from a kinetic approach to rarefied mixtures with resonant collisions
Dept. of Mathematics, Parma University - Viale delle Scienze 53/A, I-43124 Parma, Italy, EU
Accepted: 12 July 2011
Starting from a Boltzmann kinetic model for a gas mixture with bimolecular chemical reaction, hydrodynamic equations at Euler level are deduced by a consistent hydrodynamic limit in the presence of resonance, namely when the fast process driving evolution is constituted by elastic scattering between particles of the same species. The structure of the resulting multi-temperature and multi-velocity fluid-dynamic description is briefly commented on, and some results in closed analytical form are given for the special case of Maxwellian collision kernel.
PACS: 51.10.+y – Kinetic and transport theory of gases / 47.45.-n – Rarefied gas dynamics / 82.60.-s – Chemical thermodynamics
© EPLA, 2011