Abstract
Model kinetic equations are proposed for the description of ionized monoatomic gas mixture flows. The mixtures are assumed enough rarefied to be treated as ideal gases after multiple ionization steps. The model equations contain the equilibrium distribution functions for the components of the gas mixtures under consideration like it was done in BGK equations and their well-known generalizations. However, in this paper the new forms of the equilibrium distribution functions are used which correspond to the entropy maximum under the constraints of momentum, total energy, nuclei and electrons (both bound and free) conservation. It is shown that the derived model equations allow us to study the local equilibrium flows of the ionized gases and the transport processes of energy, nuclei and electrons in the non-equilibrium conditions.
Highlights
When studying gas flows near bodies moving in the upper atmosphere, it is necessary to take into account the dissociation and ionization processes
The present study is devoted to the kinetic description of monoatomic gas mixtures with multiple ion species
In the model kinetic equations the new form of the local equilibrium distribution functions for the atoms, ions and free electrons is used
Summary
When studying gas flows near bodies moving in the upper atmosphere, it is necessary to take into account the dissociation and ionization processes. The mixtures are assumed enough rarefied to be treated as ideal gases and to be described in terms of single-particle distribution functions even after multiple ionization steps Under these conditions one can use the generalized Boltzmann equations like it was done for the description of gas mixtures with excitation of molecular internal degrees of freedom and chemical reactions [see, for example, (Loureiro and Amorim, 2016; Ferziger and Kaper, 1972; Vallander et al, 1977; Giovangigli, 1999; Rydalevskaya, 2003; Nagnibeda and Kustova, 2009; Loureiro and Amorim, 2016)]. In the model kinetic equations the new form of the local equilibrium distribution functions for the atoms, ions and free electrons is used. These model equations allow us to derive the reduced systems of the macroscopic conservation equations
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