Model kinetic equation of mono- and polyatomic gas mixture
https://doi.org/10.18384/2949-5067-2024-1-56-67
Abstract
The aim of this work was to build a physical and mathematical model of the flows of mixtures of polyatomic gases in the form of a model kinetic equation.
Methodology. The paper uses methods of the molecular kinetic theory of gases, focused on finding the translational and rotational energies of the components of a gas mixture. To implement the developed model, methods of numerical solution of integral differential equations were used.
Results. The model was tested on the example of a shock wave problem for a mixture of nitrogen and oxygen. A satisfactory agreement with the results of other authors obtained by direct statistical modeling methods is shown.
Research implications. The developed model makes it possible to describe highly nonequilibrium processes in gas mixtures. Such processes include, in particular, the interaction of gas with active surfaces.
Keywords
molecular kinetic theory of gases,
model kinetic equation,
polyatomic gas,
gas mixtures,
dynamic disequilibrium,
shock wave
Supporting agencies: This study was carried out as part of a state assignment of the Russian Ministry of Education and Science, topic no. FSFF-2023-0008
About the Authors
Yu. A. Nikitchenko
Moscow Aviation Institute (National Research University)
Russian Federation
Russian Federation
Yrii A. Nikitchenko – Dr. Sci. (Phys.-Math.), Prof., Department of Aerodynamics, dynamics and control of aircraft
ulitsa Volokolamskoye shosse 4, Moscow 125993
N. I. Sergeeva
Moscow Aviation Institute (National Research University)
Russian Federation
Russian Federation
Natalya I. Sergeeva – Postgraduate Student, Department of Aerodynamics, dynamics and control of aircraf
ulitsa Volokolamskoye shosse 4, Moscow 125993
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