Mathematical modeling of the diffusion process of a light component of a binary gas

Title	Mathematical modeling of the diffusion process of a light component of a binary gas
Authors	V. N. Popov¹, O. V. Germider¹ ¹Voronezh State University
Annotation	Abstract. A kinetic approach is used to solve the problem of diffusion of a light component of a binary mixture in a channel with infinite parallel walls. It is assumed that the mass of molecules of the light component and their concentration are significantly less than the mass of molecules and the concentration of heavy components. The change in the state of the light gas component is described based on the Bhatnagar, Gross, and Krook model of the kinetic Boltzmann equation. The diffuse reflection model is used as a boundary condition on the channel walls. The consumption of the light component per unit channel width is calculated. A comparison is made with similar results presented in open sources.
Keywords	binary mixtures, kinetic Boltzmann equation, model kinetic equations, models of boundary conditions.
Citation	Popov V. N., Germider O. V. ''Mathematical modeling of the diffusion process of a light component of a binary gas'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 221-224. Available at: https://conf.svmo.ru/files/2025/papers/paper44.pdf. - Date of access: 30.08.2025.