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In the formula υ—the grinding speed of the grinding machine with a volume of V according to the finished product, decimal/hour.
Figure 1 cited quartz and hematite - magnetite quartzite grinding test data and by the formula (8) (9) and the calculated data.
The mathematical discussion of the regularity of the obtained grinding can be transformed into the well-known grinding dynamic equation:
Rt=R 0 e -kt (10)
Where R t and R 0 are the instant of time t and the total amount of sieve on some screens before the start of grinding;
k - constant parameters of grinding.
Can be obtained after replacing the symbol in equation (7)
Q 0 (1-a)=QoRo
Q 0 (1-R t )=Qoβ - =G[next]
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In the formula β3 - —— the screening rate of the screen, the decimal number.
The same mathematical formula of the grinding dynamic equation (10) can be obtained after algebraic transformation. The newly obtained mathematical formulas of grinding regularity (6) and (7) are characterized in that the constant grinding power Q in this mathematical formula can be expressed in the form of various parameters (q, V, Q) of the grinding process. . This can determine the physical meaning of the grinding constant, which can be used to change (increase) the acceptable fractional content of the ground material with the formation of qualified products and continuous discharge from the process during grinding. Said.
The practical significance of the new mathematical formula of grinding kinetics is that it can be used to expand the research scope of the material particle size change law in time for different materials to be ground or the production capacity of the grinding machine. In engineering calculations, the formula can be used to calculate the grinding size when the mill's production capacity changes.
By the content of the qualified fraction in the material to be ground, the amount of the ground material / G = Qβ - / is expressed and the value is divided by the known amount of material.
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Figure 1 shows the test data for quartz and ferro-magnetite when ground to -0.05 mm and the calculated data according to equations (8) and (11). A comparative analysis of these data proves that these mathematical relationships obtained with sufficient accuracy can be used for engineering calculations and theoretical studies of the grinding process. However, these mathematical relationships do not take into account the granularity composition of acceptable fractions under various grinding conditions. In order to control the grinding particle size, it is usually used in the range of 0.074~0mm or 1.05mm, regardless of the final grinding size of the material.
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