Macroscopic Boundary Conditions on a Solid Surface in Rarefied Gas Flow for a One-Dimensional Nonlinear Nonstationary 12-Moment System of Boltzmann Equations

Sh. Akimzhanova, Auzhan Sakabekov

2019

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DOI 10.1134/s0965542519090021
Data confidence 70 medium
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Abstract

Boundary conditions for a one-dimensional nonlinear nonstationary system of Boltzmann equations are formulated in the fifth approximation. The Maxwell microscopic boundary conditions are approximated in the case of the one-dimensional Boltzmann equation when some of the molecules reflect specularly from the surface, while the others reflect diffusely with Maxwell’s distribution. An initial-boundary value problem for the 12-moment system of Boltzmann equations with Maxwell–Auzhani boundary conditions is stated. For the 12-moment system of Boltzmann equations, six boundary conditions are set at the left and right endpoints of the interval ( $$ - a$$ , $$a$$ ).