Numerical Simulation of Oscillations of Aerosol with a Low Dispersed Phase Concentration in a Closed Tube by the Continuum Mathematical Model

Mechanics of multicomponent and multiphase media is a branch of fluid mechanics. Mathematical modeling of the dynamics of inhomogeneous media is of great importance because the experimental study of many of these processes is difficult. At the same time, many models are essentially nonlinear; 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 paper presents a continuum mathematical model of aerosol dynamics. The model takes into account both intercomponent momentum exchange and intercomponent heat transfer. The system of equations of the mathematical model is solved by the finite difference method, and a nonlinear correction scheme is used to suppress numerical oscillations. Results. Oscillations of a gas suspension in a closed container at the resonance frequency are modeled. The distributions of physical parameters of the carrier medium and the dispersed component in the process of aerosol oscillations are obtained. Conclusions. Comparison of the results of numerical calculations with physical experiment data gives a satisfactory agreement.