On the Boltzmann system for a mixture of reacting gases
Abstract
Exact analytical solutions to the nonlinear spatially homogeneous integro-partiaS differential Boltzmann system, governing the distribution functions of the rarefied gases of a given mixture in the presence of scattering, removal and chemical reaction effects, are derived upon the hypothesis of constant collision frequencies, BGK-type scattering and creation laws, and particles possessing only translational energy. Four classes of second-order chemical reactions are investigated together with the relevant continuity system for the number densities of the participating species.
- Publication:
-
Zeitschrift Angewandte Mathematik und Physik
- Pub Date:
- March 1990
- DOI:
- 10.1007/BF00945111
- Bibcode:
- 1990ZaMP...41..254B
- Keywords:
-
- Boltzmann Distribution;
- Chemical Reactions;
- Gas Mixtures;
- Kinetic Equations;
- Rarefied Gas Dynamics;
- Distribution Functions;
- Maxwell Equation;
- Particle Collisions;
- Thermodynamics and Statistical Physics;
- Distribution Function;
- Mathematical Method;
- Collision Frequency;
- Continuity System;
- Exact Analytical Solution