Theoretical Features of the Process Cleaning Zone between Sections of Raw Cotton from Weed Impurities

The article proposes to use the Euler equations to describe the motion of a stationary stream in the cleaning zones, which allows us to determine the laws of the distribution of pressure, density and speed along the arc of contact of the moving layer of raw cotton with the surface of the mesh during impact with spikes on the pulp. It was found that the pressure, density and flow velocity along the cleaning arc as a result of the hammer spikes change stepwise with decreasing pressure and density and increasing flow velocity along this arc.


Introduction
Cleaning of raw cotton is a fairly complex process, which occurs by shock and shock-shaking effects on the material from the working body, which often performs a rotational movement. The nature of the process depends mainly on the nature of the material supply [1]. The process of feeding material for processing often occurs unevenly, in the form of portions of different sizes, and the process is probabilistic and the description of its movement is much more complicated and it is difficult to get close to the real value [2] [3] [4]. However, this is the main disadvantage of the feed processes, which leads to many problems, such as deterioration of the original quality of the material, loss of material, increased energy and material costs for processing raw materials, etc. [5]- [10]. To eliminate such shortcomings, based on the results of research, many scientists have How to cite this paper: Shahboz, I., Otabek, S., Egamnazar, G. and Olimjon, S. proposed developments that provide for achieving a continuous and uneven supply of material to the processing process. This process is also convenient for mathematical description.
For continuous and uniform flow, the process is continuous, and it can be written as a continuous process using the laws of motion of continuous media, such as Euler's Equations for a continuous, stationary flow.

Mathematical Description of the Process of Cleaning Cotton from Weed Impurities
It is proposed to use equations to determine the amount of selected impurities both in packings between the pegs and between the sections of the cleaning zone. It is proposed to use the model of A.G. Sevostyanov [11] to describe the process of cleaning raw cotton from weed impurities. It was established that the largest amount of emitted impurities is released in the areas between the first and third pegs, then its slight decrease occurs in the areas between the next pegs.
This circumstance should be taken into account when choosing the length of the contact zones of the raw material with a mesh surface. Taking into account the loosening of the flow during the transition from the cleaning section to the second section, we infer the Euler shape: and mass conservation condition for stationary flow motion Here 0 0 S k Lh = is the cross-sectional area of the flow layer, h is the thickness of the layer, L is the length of the drum, k 0 is the coefficient characterizing the decrease in the contact area of the raw material with the surfaces of the pegs. Q 0 is the capacity of the purifier, , c c p ρ is the density and pressure upon receipt of the raw material on the surface of its contact with the stick, A is the constant characterizing the compressibility of the raw material. When 1 A  (4) we de- Under the impact of the flashing on the raw material at the contact of the flow  [2] the average flow rate in the cleaning zone is adopted 0.5 We introduce a new variable by the formula (6) s R = α ( α -the central angle, R-the radius of the drum). In view of (2) and (4), we write the equation for pressure p.
We bring the last equation to the form: A solution of Equation (5) (8) to determine the pressure p in each section.
The contact of the flow of raw cotton in the first section with the mesh surface occurs in four sections α α α the Solution in each section, taking into account the change in contact pressure according to formula (8), due to the impact of each prick, is written as: Similarly for the second section we have Similarly, for the second cleaning zone, we have ( ) ( )

Analysis of the Results
There are graphs (Figure 1, Figure 2 show that a high cleaning effect is observed in the region between the first and second separation. Then a decrease in the mass of trash impurities is observed, and, moreover, a significant decrease in trash impurities occurs in the areas between the second and third pegs is observed at high performance values Q 0 . It can be seen that an increase in the parameter λ value leads to an increase in the mass of weed impurities. According to the calculations, the total mass of weed impurities isolated from the treatment zone was calculated. Table 1 and Table 2 show the amounts of weed impurities in the areas between the pegs and their total mass (referred to the mass of raw cotton) at different values of the parameter λ and two performance values Q 0 .
From the analysis of the tabular data it follows that the total mass of the released impurities can increase significantly with large values of the parameter λ .
At the same time, intensive separation of weed impurities occurs in the areas between the first and second grate.   Increasing the efficiency of cleaning cotton has a positive effect on the processes of further processing of cotton and its processed products [12] [13].

Conclusions
1) It has been found that the use of the Euler equation to describe the flow of 2) It has been established that the pressure, density and second mass of cotton along the cleaning arc as a result of the blows of the splitter change abruptly, and there is a gradual decrease in pressure and density and an increase in the flow rate along this arc. This indicates a significant loosening of the cotton flow during the transition from the first cleaning section to the second, and there is a slight change in their values in other cleaning sections.
3) To describe the process of cleaning raw cotton from trash impurities together with the Euler equations, it is proposed to use the model of A.G. Sevostyanova, who even more accurately describes the process of separating weeds from the cotton flow. It shows that the greatest amount of trash impurities is released in the areas between the first and third pegs, then the weight of the excreted litter decreases and the cleaning effect will be low in subsequent areas.
This circumstance should be taken into account when choosing the length of the contact zones of the raw material with the mesh.