A comparative analysis of binary fluid mixtures by extended thermodynamics and the kinetic theory

The constitutive and evolution equations for a two-fluid mixture in non-equilibrium are derived at two levels of description: macroscopically within the framework of extended irreversible thermodynamics, microscopically on the bases of Grad's thirteen-moment formalism. Macroscopic and microscopic expressions for the Helmholtz free energy, the entropy flux as well as evolution equations for the heat flux, the diffusion and the viscous pressure tensor are derived and compared. It is shown that the results predicted by the macroscopic approach are confirmed by Grad's kinetic model.