Travelling waves in a mixture of gases with bimolecular reversible reactions

摘要

Starting from the kinetic approach for a mixture of reacting gases whoseparticles interact through elastic scattering and a bimolecular reversiblechemical reaction, the equations that govern the dynamics of the system areobtained by means of the relevant Boltzmann-like equation. Conservation lawsare considered. Fluid dynamic approximations are used at the Euler level toobtain a close set of PDEs for six unknown macroscopic fields. The dispersionrelation of the mixture of reacting gases is explicitly derived in thehomogeneous equilibrium state. A set of ODE that governs the propagation of aplane travelling wave is obtained using the Galilei invariance. After numericalintegration some solutions, including the well-known Maxwellian and the hardspheres cases, are found for various meaningful interaction laws. The mainmacroscopic observables for the gas mixture such as the drift velocity,temperature, total density, pressure and its chemical composition are shown.