| Annotation |
In the article, the flow of a homogeneous gas and inhomogeneous medium representing a suspension of solid particles in a gas – gas suspension is mathematically modeled. The aim of the work is to study the effect of material density of the solid component particles of the mixture on the process of the mixture outflow into vacuum and to identify differences from the process of a homogeneous gas outflow into vacuum. When simulating the outflow process, the viscosity, compressibility and thermal conductivity of the gas were taken into account. The mathematical model described in this article implements a continuous methodology for modeling the inhomogeneous medium flow.
A feature of this technique is that when describing the motion of a mixture, a complete hydrodynamic system of motion equations is recorded for each of the components of the mixture. In this case, the systems of motion equations of the mixture components are connected with the components responsible for interphase force and thermal interaction.
The importance of taking into account the intercomponent interaction in a mixture is due to the fact that the dynamics of heterogeneous media, mixtures in which the components have different aggregate states, are largely determined by the effects associated with intercomponent interaction. The system of the mathematical model equations includes continuity equations for the density of the carrier medium and the “average density” of the dispersed component of the mixture.
To describe the momentum conservation of the carrier medium, the Navier – Stokes equation has been solved; for the dispersed component of the mixture; the equation of momentum conservation has also been written, taking into account the terms responsible for the intercomponent interaction. The energy conservation equations for the mixture components have been solved, taking into account inter-component heat transfer. The system of the mathematical model equations, supplemented by boundary conditions, has been solved by an explicit finite-difference method of the second order of accuracy.
As a result of the simulation, differences in the distribution of the parameters of a continuous medium during the propagation of pure gas and gas suspension of particles into a vacuum are revealed as well as the influence of the material density of the particles on the process of the carrier medium and dispersed component expiration of the gas suspension in vacuum
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