Rigorous solution to the extended kinetic equations for homogeneous gas mixtures

Author(s):  
Giampiero Spiga

Author(s):  
Maria A. Rydalevskaya ◽  
Yulia N. Voroshilova

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.



Author(s):  
Yoshimoto Onishi

Two dimensional transient motions of a vapor-gas mixture due to evaporation and condensation processes within a rectangular region have been considered with a view to grasping the effects of the presence of a noncondensable (inert) gas on the flow fields and their transition processes. Owing to the sudden change in temperatures of the condensed phases which are embedded in the solid boundary walls of the region, a flow takes place, and the development of this transient flow has been studied numerically based on the Boltzmann equation of BGK type for gas mixtures subject to the boundary condition of diffusive type appropriate for evaporation and condensation. The present results confirm those of the numerical analyses which have already been carried out based on the fluid dynamic formulation for binary gas mixtures established earlier in our laboratory.



1972 ◽  
Vol 7 (4) ◽  
pp. 648-655 ◽  
Author(s):  
V. A. Rykov






1996 ◽  
Vol 21 (5) ◽  
pp. 461-502 ◽  
Author(s):  
E. Suraud


1972 ◽  
Vol 33 (C1) ◽  
pp. C1-51-C1-56 ◽  
Author(s):  
W. S. GORNALL ◽  
C. S. WANG


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