The Mathematical Simulation of Brush Drums in a Dual Saw Cylinder Chamber Gin for the Purpose of Increasing the Quantity of Captured Cotton Fiber from Saw

An analysis of the efficiency of the ginning of cotton fibers with two saw cylinders has been carried out. In comparison to a one-cylinder machine, the 2 cylinder approach can help to preserve the natural characteristics of cotton fiber and seeds. This technology allows economizing electricity and decreasing damage to fiber and also increases the productivity of the machine.


Introduction
The effective analysis has been held on efficiency of removing the fibers from the teeth of two cylindrical saw through a brush drum.By doing this, the natural properties of cotton fibers are preserved.
Brush drums are installed for removing fibers stuck on the saw surface while coming out of the grid bar net.The drum should provide complete collection of fibers from the saw teeth without damaging seeds or saw teeth in case hard subjects appear in the zone [1].
The efficiency of a brush drum is characterized by the quantity of raw cotton which is collected from the surface of the saw cylinder and is estimated with a collection coefficient.
where 1 is the quantity of raw cotton collected from the brush drum and 2 the quantity of raw cotton remaining on the surface of the saw.Intensity of processing the surface of saw cylinder by the brush drum is characterized the coefficient of influence [2].
where: z-quantity of collecting sections on the brush drum; 0 -area of the work surface of saw cylinder with a section of brush drum; -length of the circle of saw cylinder, when the brush drum rotate once.

S S
The greater the indicator d  , the higher the efficiency of the brush drum.

Materials and Methods
According to Figures 1 and 2, the length of bow of the first saw drum equals the length of bow of the second saw drum equals where: 1 -radius of the saw cylinder; 1 r  -angle speed of saw cylinder 1; 1 -type of time quantity of saw cylinder when turned to the angle where 3 -radius of the saw cylinder; 3 r  -ngle speed of saw cylinder 2; 3 -type of time quantity of saw cylinder when turned to the angle where: 2  -angle speed of brush drum; 3  -angle speed of saw cylinder 2.Then,

distance between the centers of saw and brush drums;
The size of the angles 1 3 , where: R 1 -radius of saw drum taking into account the thickness of the layer of coming out raw cotton.
The length of the bow of the saw cylinder circle, made per rotation of brush drum.
where,  ,r rv, Putting the value of S 0 and in formula (2) we get, For non-stop removal of fibers of raw cotton from the saw surface it is necessary that 1; b  

Numerical Results and Discussion
Changing the angle speeds in the formula corresponding to circumferential speeds and transforming them, we get the formulas of the relation of the speeds of the brush and the saw drum, which correlates all kinetic elements of the working unit of the drum brush [3]: In known values of the size it is possible to define the required quantity of the planks of brush drum stemming from the condition that in rotating the saw drum to the angle of In Figure 3 according to the coefficient K, change of α-angle between the sections two brushes is outlined α is an indication of angle of section between two brush.Required quantity of planks on brush drum 360 ; In Figure 4 according to the quantity of coefficient K, the change of numbers of brush section is outlined [3].
Efficiency of brush drum increases with the increase in  the coefficient of influence в  , which depends on the diameter and surrounding speeds of brush and saw drums.By the increase of the speed of brush drum or increase in its diameter the coefficient of influence increases, and with the decrease of the speed of saw drum fiber collecting surface increases.In Figure 5 according to the coefficient K, the change of quantity of b  coefficient is shown.
In Figure 6, according to the change of quantity of coefficient K, the length of arc of fiber quantity taken for a saw cylinder is shown.In graph, the length of arc in taking a fiber quantity in maximum degree equals to 700 мм.K 1 = 2.8.In Figure 6 changes in the length of pickup S depending on the parameter of K. for one saw cylinder.
In Figure 7, according to the change of quantity of coefficient K, the length of arc of fiber quantity taken for two saw cylinder is shown.In graph, the length of arc in taking a fiber quantity in maximum degree equals to 1400 мм.In Figure 7, the change of length of arc in taking a fiber from two-saw cylinder is shown according to the   In graph, the length of way in taking a fiber in maximum degree consist of 1400 мм when it meets K 2 = 2.8.In Figure 7 Changing the length of removal S in dependence of parameter K, for two saw cylinders.
Based on two-saw cylinder the quantity of taking a fiber increases and this leads to the improvement of productivity.The fiber taken from a first-saw cylinder through brush drum touches the next fiber in the teeth of second-saw cylinder and in this case, the fiber is taken carefully through brush drum preserving its natural features with no damage to it.This creates the opportunity of getting a fiber in good quality.
In Table 1, the mathematical simulation of angle speed and brush drums in a dual saw cylinder chamber gin for the purpose of increasing the quantity of captured cotton fiber from saw.Table 1.For Figures 1 and 2

Conclusion
The influential coefficiency- According to the indication of graph in Figure 5, the productivity and influential coefficiency of our drum has increased to 4 to 5 times as there is 14 b   In order to reach for that upper indication, it is necessary to enlarge the diameter of drum and multiply the quantity of brush section.
In Table 1, schedule co efficiency of getting a fiber is modeled considering the number of brush section, the length of way of getting a fiber and indication of angle peed.s Using the indication of Table 1 for Figure 2, the num-be , we have got the optimal result of the le

Figure 1 .
Figure 1.Schematic diagram and parameters of one saw cylinder.

Figure 2 .
Figure 2. Schematic diagram and parameters of two saw cylinder.
t -time of one rotation of the brush drum.
collecting fibers, located in point A, should rotate to the angle of 2 4   .So as the rotation time of saw drum to the angle of

Figure 3 .
Figure 3. Schematic diagram α-angle between the sections two brushes is outlined.

Figure 4 .
Figure 4. Schematic diagram change of numbers of brush section is outlined.

Figure 5 .Figure 7 .
Figure 5. Schematic diagram-the change of quantity of η b coefficient is shown. .