Numerical model operation of the mass transfer of the disperse phase of aerosol in nonlinear wave fields for axisymmetric quasithree-dimensional geometrical statement
Abstract
The article describes numerical modelling of fluctuations of an aerosol column in pipes at resonant frequencies. The author suggests a mathematical model of dynamics of the heterogeneous medium-mix with approximately equal component mass fractions. The mathematical model suggests the solution of a dynamics equation system for each of the mix component. The carrier medium is a viscous, compressible, heat-conducting gas. The dispersed component of the aerosol is described by the equation of conservation of average density, the equations of the pulse components conservation, the equation of energy conservation. The mathematical model considers interaction forces of gas and particles of aerosol, as such forces is considered, Stokes's force, Archimedes force and force of the attached masses, as well as heat exchange intercomponent. Within the system of the equations of mathematical model, eight equations were solved by means of the final and differential algorithm implemented as a program code. The equations of mathematical model were complemented with the corresponding entry and boundary conditions. Having obtained the numerical model, the author studies the regularities of the redistribution of the aerosol dispersed component density of in wave fields. The research reveals the influence of droplet size on the distribution of the dispersed component of a multiphase medium in the process of resonant oscillations in pipes.