ГАЗОДИНАМИЧЕСКАЯ МОДЕЛЬ КРИТИЧЕСКОГО И ДОКРИТИЧЕСКОГО ИСТЕЧЕНИЯ ПАРОВОДЯНОЙ СМЕСИ ЧЕРЕЗ СЛОЙ ШАРОВЫХ ЧАСТИЦ

Abstract

The PURPOSE of the paper is to give a computational and experimental rationale for the theoretical model of two-phase liquid-vapor flow through a fixed layer of solid particles, compare the calculation results with the experimental data on subcritical and critical liquid-vapor flow through various beds of spherical particles and estimate the predictive capability of the model. METHODS. Theoretical description relies on the equations of gas dynamics of a granular layer and the homogeneous model of a one-component two-phase flow taking into account the difference in velocities of liquid and vapor phases, which allows to obtain an analytical solution for the mass velocity of the mixture. When obtaining the dependences for the phase slip ratio and the polytropic coefficient for isenthalpic expansion of the mixture multidimensional nonlinear regression methods are used. Methods of the experimental study of liquid-vapor flow in a random packed bed of spherical particles are used to obtain the experimental data on the mass velocity value. RESULTS AND THEIR DISCUSSION. The analytic expression for the mass velocity is obtained in the framework of the presented gas dynamics model of the liquid-vapor flow through the fixed layer of solid particles. The available experimental data on the mass velocity of critical and subcritical flow are generalized using the theoretical model. It is shown that the transition to the relative magnitude of the mass velocity allows to construct a universal flow characteristic for an arbitrary granular layer. CONCLUSIONS. The developed mathematical model can be used to generalize the experimental data and predict the dependence of the mass velocity of a two-phase liquid-vapor flow in a layer of solid particles under subcritical and critical flow regimes.