Incompressible Navier–Stokes equations from Boltzmann equations for reacting mixtures

Abstract

Incompressible Navier–Stokes equations for gas mixtures are derived from Boltzmann kinetic models in a suitable fluid dynamic limit. We consider polyatomic gases, each one endowed with a discrete set of internal energy levels. Specifically, we deal with a mixture of four polyatomic gases also undergoing chemical reactions. In the Maxwell molecule case, diffusion coefficients and contributions due to inelastic scattering and to chemical reactions may be explicitly computed.