Analytic solution of vector model kinetic equations with constant kernel and their applications

1993 ◽  
Vol 97 (2) ◽  
pp. 1299-1311 ◽  
Author(s):  
A. V. Latyshev
Keyword(s):  
Analytic Solution ◽  
Kinetic Equations ◽  
Vector Model ◽  
Model Kinetic Equations

Spectral functions for gases: Test of approximations employing model kinetic equations

1976 ◽  
Vol 54 (2) ◽  
pp. 137-141
Author(s):  
Norbert Müller ◽  
Siegfried Hess
Keyword(s):  
Kinetic Equation ◽  
Kinetic Equations ◽  
Spectral Functions ◽  
Model Kinetic Equations ◽  
Effective Collision

Approximations to spectral functions obtained from model kinetic equations with two effective collision frequencies are tested for a special kinetic equation which can be solved exactly.

scholarly journals Model Kinetic Equations for Multiply Ionized Gas Mixtures

2021 ◽  
Vol 8 ◽  
Author(s):  
Maria A. Rydalevskaya ◽  
Yulia N. Voroshilova
Keyword(s):  
Equilibrium Distribution ◽  
Local Equilibrium ◽  
Kinetic Equations ◽  
Gas Mixtures ◽  
Distribution Functions ◽  
Transport Processes ◽  
Ionized Gas ◽  
Model Kinetic Equations ◽  
Ideal Gases ◽  
Model Equations

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.

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