МОДЕЛЮВАННЯ ТА ОПТИМІЗАЦІЯ ПРОЦЕСУ ОЧИЩЕННЯ ПОВІТРЯ ВІД ЗЕРНОВОГО ПИЛУ ЗАСОБАМИ ОБЧИСЛЮВАЛЬНОЇ ГІДРОГАЗОДИНАМІКИ

Abstract

The article is dedicated to the development of generalized methods of calculation, modeling and optimization of the cyclones’ parameters that are used to clean the air from the grain dust. The basis of the developed methods is the usage of computational hydraulic gas dynamics, in particular the SOLIDWORKS software package and the integrated CFD-package SOLIDWORKS Flow Simulation, as well as the principles of theory of similarity and dimensions. The deposition efficiency coefficient was chosen as the optimization criterion that can be calculated as the ratio of the mass of deposited particles to the total mass of grain dust particles entering the working volume of the cyclone. By means of SOLIDWORKS, a parametrized solid model of cyclone with the necessary elements of adaptation for further study of gas-dynamic processes was created. The dependence of the deposition efficiency on various parameters that can be optimized, in particular, on the pressure at the inlet and outlet nozzles of the cyclone was studied; volumetric flow rate of air to be purified; design dimensions of the working chamber of the cyclone etc. The usage of the simulation methods allowed to obtain an extended database of optimization parameters and values of the objective function that correspond to them. The generalization of the obtained data set in the form of dimensionless criteria was enabled by the analysis of the dimensions of the quantities that affect the deposition efficiency. Using the basics of similarity theory, the type of functional dependence between similarity criteria was established. The constant parameters of the mentioned power function are determined using a two-dimensional approximation using a software package for mathematical calculations – Mathcad 15. The obtained mathematical model allows to select the optimal operating modes (volumetric air flow, inlet and outlet pressures of cyclone etc.) depending on the design and the size of the cyclone that allows to maximize the efficiency of grain dust deposition.