DOI: 10.18503/1995-2732-2026-24-3-171-179
Abstract
Problem Statement (Relevance). Multicomponent gas mixture flows occur in various industrial processes. Therefore, studying dynamic processes in multicomponent gas mixtures is an important research task. Both gas mixture separation technologies and flows of homogeneous gas mixtures in various industrial units are investigated. Objectives. The aim of this work is to investigate the density equalization process in a mixture with an initially nonuniform distribution of gas mixture components. Methods Applied. Several approaches can be used to describe this process. In this study, an approach based on solving the complete hydrodynamic system of governing equations is employed. A diffusion approximation for the dynamics of heterogeneous media is used to describe the flow of a viscous, compressible, heat-conducting medium, taking into account its two-component composition and mutual diffusion of the components. For each component of the mixture, the continuity equation has been solved with allowance for mutual diffusion between the components. The system of equations has been integrated using an explicit second-order finite-difference method with a splitting scheme in the spatial directions. A nonlinear correction scheme for the numerical solution has been employed to suppress numerical oscillations. Originality. The mathematical model takes into account two-dimensional geometry, viscosity, compressibility, and thermal conductivity of the mixture, as well as diffusion of the mixture components. Results. The results obtained demonstrate the transport properties of the numerical scheme. It has also been found that the equalization of the mean mixture density is accompanied by density oscillations. Time histories of the total mixture density at various points in the computational domain and two-dimensional plots of the mixture parameter distributions are presented. Practical Relevance. The practical significance of the study lies in identifying the properties of the numerical model relevant to the investigation of dynamic processes in homogeneous gas mixtures.
Keywords
homogeneous mixtures, Navier-Stokes equation, numerical modeling, finite difference methods
For citation
Tukmakov A.L., Tukmakov D.A., Akhunov A.A. Numerical Simulation of Density Equalization in a Two-Component Gas Mixture of Viscous, Compressible, Heat-Conducting Gases. Vestnik Magnitogorskogo Gosudarstvennogo Tekhnicheskogo Universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2026, vol. 24, no. 3, pp. 171-179. https://doi.org/10.18503/1995-2732-2026-24-3-171-179
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