Non-equilibrium mixtures of gases: Modelling and computation

Abstract

These notes present the material about the modelling of non-equilibrium processes in mixtures of gases. It is mainly concerned with the mixtures described within the context of extended thermodynamics, but also covers certain features of the kinetic theory of mixtures. General introduction puts extended thermodynamics into a proper position with respect to the other approaches (TIP and kinetic theory of gases). Extended thermodynamics of multi-temperature mixtures of Euler fluids is properly established and analyzed. Shock waves as a particular non-equilibrium problem are thoroughly discussed. The kinetic modeling of mixtures is also discussed and related to the results of extended thermodynamics. The notes contain new results related to the comparison of extended thermodynamic model of mixtures with the Maxwell-Stefan diffusion model, and the shock structure analysis in the viscous multi-temperature model.