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Машиностроение и машиноведение
DEVELOPMENT OF METHODS OF ALGORITHMIZATION OF OBJECT MODELING AND MANAGEMENT OF FLOTATION
COMPLEXES
Nosirova S.N., Associate Professor of the Department "Teaching Methods of Informatics", Navoi State Pedagogical Institute, Uzbekistan, nosirova_61@mail.ru Artikov A.A., Professor of the Department "Informatics, Automation and Management" of the Tashkent Institute of Chemical Technology, Uzbekistan,
artiqof@rambler.ru
This article shows the possibility of using differential equations in the form of an inertial link model or in the form of an integral link. This made it possible to justify a multistage method of identifying a flotation facility. The results obtained allowed us to develop acceptable computer models of the dynamics of the flotation process.
Key word: model, search, solutions, technology, process, identification, object, flotation, methodology, system.
Nowadays, in the world practice, research work in the field of the manufacturing industry, modeling and optimization of technological processes in the conditions of modern scientific and technical progress have allowed the industry to increase productivity by reducing energy consumption and improving product quality due to the wide use of modern technologies in creating high-performance, reliable cost-effective technological equipment. At the same time, the search for optimal solutions for technological processes in practice is one of the main directions of technical development, focused on increasing productivity, improving product quality, reducing costs, facilitating working conditions and protecting the environment.
Considering various options, the possibility of using differential equations in the form of an inertial link model or as an integral link is shown. This made it possible to justify a multistage method of identifying a flotation facility. The results obtained allowed us to develop acceptable computer models of the dynamics of the flotation process.
The modern development of the techniques and methodology of systems thinking and analysis makes it possible to carry out a wider study of objects on the basis of the information principle of analysis. Each object can be considered an element processing information. Information input, its processing and information output are considered. The use of systems thinking and analysis allows to specify the processes of information processing. In our opinion, the object of study consists of two components: the system itself, i.e. element, as the physical component of the object and the process in this system.
When building a computer model of a bubbling cube of a flotation apparatus, a multistage system analysis was carried out. The bubble cube is taken as the main system. The computer model of the gas phase, for the chosen quasi-layer, is based on the material balance [1].
Here you can introduce the concept of the equilibrium concentration of valuable components. There is a real value of valuable components in the liquid phase, determined by the equilibrium concentration, which depends on the properties of the binders and the nature of the gas phase. Then the transition process, i.e. the mass transfer between the liquid and gas phases is characterized by the mass transfer equation:
^ = Qyk(y - y-i)+ AVa (* - y)
dr (1)
Here:
y - incoming gas concentration,
y'-1- gas concentration,
Q - gas consumption,
k - coefficient characterizing the state of the gas,
A - coefficient of mass of recoil from liquid,
Va - quasi-volume,
x - concentration of a valuable component in a liquid.
Now you can create a material balance equation in the form:
((Qg * u(3) * (u(2) - u(4))) + (Av * Va*(u(1)- u(2))))/( Va * rog * u(3)) (2)
The process in the gas phase in a quasicomplete model is described as shown in Figure 1.
Figure 1. Computer model of the process in the quasi-gas phase of a single-stage
flotation facility
Entering the above equations into a computer using the Matlab program, we obtain a flowchart for calculating the concentration of valuable components in the liquid phase of a bubble cube [2].
Figure 2. Computer model for gas phase
In the multiquas layer representation of a bubbling cube, as a result, the combined computer models of individual quasi-objects, i.e. mathematical models of quasi-layers, a computer model was obtained for the gas phase of the bubbling cube of the flotation apparatus. (Figure 2.)
The liquid phase in each quasic layer has common indicators. In the cube of the flotation apparatus, almost perfect mixing of the liquid occurs, at which the concentration of the valuable component at all points of the apparatus will be the same. Therefore, one mass transfer equation is applied for the liquid phase (or a unit that calculates the concentration in a bubble cube) (Figure 3.)
Figure 3. Block calculation of the mass transfer equation in a bubble cube
The computer model of the process in the liquid phase of a single-stage flotation object is:
G0Xa - GgX = Gg}' - Gg VQ
The computer model of the process in a bubbling cube is formalized. The computer model reflects the change in the input concentration of valuable components in both the liquid and gas phases [3].
On the basis of the models of the gas phase and the bubbling cube, a computer model of the bubbling cube of the flotation apparatus was obtained (Fig.4).
Figure 4. Computer model based on the MATLAB application
The obtained integral model characterizes a consistent change in the concentrations of valuable components in liquid and gas, and in quasi-layers.
Literature
1. Artikov A.A., Nosirova Sh.N. Computer model of a single bubble bubbling cube of the flotation apparatus // Uzbekistan Conchist of Communication, Navoiy, № 1 (68), 2017. -С.164-167.
2. Nosirova S.N., Artikov A.A. Multi-level systematic analysis of the flotation system // Uzbekistan Conchist of Communication, Navoiy, № 4 (71), 2017. -С.90-93.
3. Nosirova S.N., Artikov A.A. On the analytical method of identification of the automation object on the example of ore flotation. International Scientific and Technological Journal "Chemical Technology Control and Management", Tashkent, 2017, № 5. -С 71-75.
Носирова Шоира Нормурадовна - доцент кафедры «Преподавание методики Информатики», Навоийского государственного педагогического института, Узбекистан. Артиков Аскар Артикович - профессор кафедры «Информатики, автоматизации и управление» Ташкентского химико-технологического института, Узбекистан.
