Известия Томского политехнического университета: Инжиниринг георесурсов (Aug 2016)
Mathematical description of non-isothermal filtration flows of binary gas mixture
Abstract
Construction of mathematical models of flows of heterogeneous (multicomponent, multiphase) media requires an adequate description of transport processes. In traditional formulations of problems of natural and technogenic character processes, including the problem of atmospheric phenomena, modeling of process plants and biological systems, there is a need to take into account different features caused by the presence of impurity phase, especially with a sufficiently high concentration of impurity component. The volume of emissions from vehicles, affecting the state of the atmosphere, depends on the quality of the manufactured filtration systems and the effectiveness of their work, which explains the extreme necessity of studying neutralization of dangerous gas mixtures. The study of such systems affects the fundamental aspects of rheology and description of systems in the presence of large-scale (caused by the presence of the carrier medium) interparticle correlations. The relevance of the work is caused by the need to solve one of the global environmental problems, in particular pollution of air by harmful emissions of vehicles. A special place in solving this problem goes to neutralization systems which allow reducing toxicity of vehicle exhaust gasesa, and thereby increasing its sustainability. The object of study is the filtration of a binary gas mixture of exhaust gases in gasoline internal combustion engines in non-isothermal conditions through the filter element produced using self-propagating high-temperature synthesis on the basis of titanium carbide. Research method: the microscopic (molecular-kinetic) approach to implementation of mathematical model of filtration of a two-component mixture through a porous matrix. Results. The authors have proposed the mathematical model of filtration of a two-component gas mixture in non-isothermal conditions and obtained the length of the filter element, the gas-dynamic factors (Knudsen coefficients and mutual diffusion, viscosity) for model numerical implementation.
