Mixture of Gases with Multi-Temperature: Maxwellian Iteration

In this paper a hyperbolic model is proposed for mixtures of gases which are neither viscous, nor heat-conducting (Eulerian fluids). It is built upon assumption that each constituent obeys it's own temperature. Restrictions to the structure of the model come out from basic principles of extended thermodynamics, i.e. Galilean invariance of balance laws and entropy inequality. Hierarchy of hyperbolic subsystems is recognized, with a single-temperature model as principal subsystem and classical Euler's equations as equilibrium subsystem. Finally, in order to relate this model to classical thermodynamics, a Maxwellian iteration is performed in the case of binary mixture, giving rise to a relation between the diference of non-equilibrium temperatures of constituents and classical fields.