Kinetic theory for binary mixtures of monatomic and polyatomic gases

A kinetic theory is developed for binary mixtures of a monotomic gas (consisting of perfectly smooth, elastic, and rigid spherical particles) and a polyatomic gas (consisting of perfectly rough, elastic, and rigid spherical molecules). A macroscopic state of the mixture is characterized by 29 scalar fields of partial mass densities, partial velocities, partial pressure tensors, partial translational heat fluxes, and partial rotational heat flux. By using the field equations of the 29-field theory and an iterative scheme akin to the Maxwellian procedure, the generalized laws of Fick, Fourier, and Navier-Stokes are obtained. The results of this theory are applied to specific binary mixtures of monatomic gases (He, Ne, Ar, Kr, and Xe) and polyatomic gases (CH4, and CF4, and compared with experimental data.