Numerical Model of the Electro-Gas-Dynamics of a Gasв€’Particle System Based on the Equations of Motion of a Two-Velocity Two-Temperature Gasв€’Particle Mixture
A. L. Tukmakov
Institute of Mechanics and Engineering, Kazan' Scientific Center, Russian Academy of Sciences, Kazan', 420111 Russia
Keywords: двухскоростная двухтемпературная монодисперсная газовзвесь, электрическое поле, сила Кулона, уравнения Навьев€’Стокса, явная схема Макв€’Кормака, two-velocity two-temperature monodisperse gasв€’particle mixture, electrical field, Coulomb force, Navierв€’Stokes equations, explicit McCormack scheme
Abstract
A mathematical model of the electro−gas−dynamics of a gas−particle system is described. A numerical method for solving the system of equations is proposed, and an analysis is made of the motion of charged solid aerosol particles in gas−particle flow in the electric field produced by the corona electrode of the atomizer, the grounded surface on which deposition is performed, and the charge of the aerosol particles in the interelectrode space. The solution is based on the two−velocity two−temperature model of a monodisperse medium without phase transitions and coagulation assuming that only the carrier medium, described by the Navier−Stokes equations for a compressible gas, has viscosity. The dispersed phase is defined by the equation of conservation of mass, the equations of conservation of momentum components taking into account the Coulomb force and aerodynamic friction, and the equation of conservation of internal energy. The system is written in generalized coordinates in dimensionless form and solved using the explicit McCormack method with splitting over the spatial coordinates and a conservative correction scheme. The velocity and density fields of the gas−particle mixture were investigated in the interelectrode space and near the surface on which solid aerosol particles in the gas−particle flow are deposited.
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