Numerical simulation of oscillations of a viscous gas with dispersive inclusions with the frequency of the first linear resonance in a closed channel

Background. Mechanics of multicomponent and multiphase media is a branch of fluid and gas mechanics. Mathematical modeling of the dynamics of inhomogeneous media is of great importance due to the fact that the experimental study of many of these processes is difficult. At the same time, many models are essentially non-linear, for this reason, numerical methods are used to integrate such models. In a number of industrial energy technologies, to remove the dispersed component of an aerosol medium, gas-drop media are affected by acoustic fields. This is the reason for the interest in studying the dynamics of aerosols in acoustic fields, revealing the fundamental regularities of such flows, and also in developing mathematical models for the dynamics of aerosol media. Materials and methods. The work presents a continuum mathematical model of aerosol dynamics. The model took into account both intercomponent momentum exchange and intercomponent heat transfer. The system of equations of the mathematical model was solved by the finite difference method, and a nonlinear correction scheme was used to suppress numerical oscillations. Results. Oscillations of a gas suspension in a closed container at the resonant frequency were modeled. The distributions of the physical parameters of the carrier medium and the disperse component in the process of aerosol oscillations are obtained. Conclusions. Comparison of numerical calculations with physical experiment gives a satisfactory agreement.