4.1. Breakage Rate
Figure 2 shows the second-order grinding kinetics with different types of media, including steel balls, ceramic balls, and binary media.
Figure 1a shows the results of fitting the grinding kinetics with steel balls for 2 to 10 min, consistent with second-order kinetics. It can be seen that the slope m of the primary function fitted for each particle size by steel ball milling is close, generally representing a rise–fall trend. As the size of the ore particles decreases, the energy required for breakage and crushing difficulty increases with higher particle strength [
28,
29]. On the other hand, the steel ball carries large kinetic energy. The impact breakage effect remains central while the grinding and stripping effect is a supplement during the grinding process. Therefore, the breakage rate decreases for fine-grained minerals, marking a slope m that decreases with the decrease of grain size.
Figure 2b displays the results of the second-order grinding kinetics fit for ceramic ball grinding times of 2–10 min. The slope m trends upward and then downward. It has been observed that when the grinding media is changed from steel balls to ceramic balls, the breakage rate of larger 0.3 mm particles decreases [
30]. This is because ore particles +0.3 mm require a high impact force to produce effective breakage.
The results of the second-order grinding kinetics fit with binary media during the grinding time of 2 min to 10 min are shown in
Figure 2c. The overall trend exhibited is consistent with that of ceramic ball grinding, with the fine breakage rate higher than that of the coarse grains.
Table 3 shows the breakage rates of the three grinding media for each grain size at grinding times ranging from 2 to 10 min in detail. The breakage rate of the steel balls for 0.3 mm ore was 1.017, which was significantly higher than that of the ceramic balls, 0.746, and the binary media, 0.747. However, in the breakage rate of the other grain size, the steel balls are all lower than the ceramic balls and the binary media. This phenomenon is clearly inconsistent with the experimental results. This is because the results above reflect the breakage behavior from 2 min to 10 min of grinding time. However, the vast majority of the minerals in some grain classes are already crushed in the first 4 min, so when the grinding time is extended to 10 min, the breakage situation at each period cannot be accurately reflected [
31,
32].
The minimum size suitable for selecting most minerals in the industrial process is −0.075 mm. In addition, a −0.075 mm yield is also commonly used in China to express the fineness of the ore and as a measure of good grinding operations. In addition, due to the physical properties of ceramic balls, the specific gravity is small; in the grinding process of ceramic balls, the impact force is much smaller than that of steel balls. It is more difficult to cause effective impact breakage of coarser-grained ores. Taking these two points together, this paper focuses on analyzing the breakage rate of +0.075 mm, which represents the fineness of the ore, and +0.3 mm, which represents the coarser grain size.
Figure 3 shows the results of fitting the grinding kinetics for the three media regimes with the 0.3 mm grain size, with an adjustment of the fit range every two minutes. As can be seen from the graph, the highest trend line is for steel balls, followed by binary media, and the lowest trend line is for ceramic balls. The higher the trend line, the less of that particle size remains in the ground product. To put it simply, steel balls have a greater grinding effect on ore particles larger than +0.3 mm compared to ceramic balls [
33,
34]. However, when steel balls are added to the grinding process with ceramic balls, the combined effect improves significantly on particles larger than +0.3 mm. Although it is not as effective as using steel balls alone, it compensates for the limitations of ceramic ball milling to some degree.
Table 4 shows, in detail, the breakage rate of +0.3 mm ore for each time period for the three grinding media, where the breakage rate from 0 to 2 min is denoted by
. For the grain size of +0.3 mm, the breakage rate of steel balls is significantly higher than that of ceramic balls. After adding steel balls to the ceramic ball mill, it can make up half of the gap between ceramic balls and steel balls. It is interesting to note that at a grinding time of 4 to 6 min, the breakage rate of the ceramic balls is greater than that of the steel balls and the binary media. This is because the vast majority of the +0.3 mm ore is already ground when the grinding time reaches 4 min for the steel balls and binary media. It also can be found that all three grinding media have higher breakage rates for +0.3 mm ore at 0 to 6 min than at 6 to 10 min. This phenomenon indicates that most of the +0.3 mm ore is already ground in the first 6 min. In order to improve the grinding efficiency, the grinding time should be limited to 6 min.
Figure 4 shows the results of fitting the grinding kinetics for the three grinding media to 0.075 mm grain size, adjusting the fit range to every two minutes. As can be seen from the graph, the trend line for steel balls is significantly higher than that for ceramic balls and binary media during grinding times of 0 to 4 min. As the grinding time reaches 6 min, the trend line for ceramic balls is highest, followed by binary media and the lowest by steel balls, indicating that when the grinding time is extended to 6 min, the ceramic balls start to outperform the steel balls for the 0.075 mm grain size. After adding steel balls to the ceramic balls, the grinding effect is always between steel balls and ceramic balls. From 0 to 4 min, the grinding effect of the binary media is higher than that of ceramic balls but smaller than that of steel balls, and when the grinding time is extended to 6 min, the grinding effect of the binary media is higher than that of steel balls but smaller than that of ceramic balls.
Table 5 shows, in detail, the breakage rate of +0.075 mm ore for each time period for the three grinding media, where the breakage rate from 0 to 2 min is denoted by
. At 2 to 4 min, the breakage rate of the steel balls was lower than that of the ceramic balls and binary media. It can be found that only at the time period from 0 to 2 min, the breakage rate of the steel balls is greater than that of the ceramic balls. In the time period from 2 to 10 min, the breakage rate of the ceramic balls is greater than that of the steel balls [
11,
35]. The pattern of change in the crushing rate of the binary media is consistent with that of the +0.3 mm grain size. Its breakage rate has been between that of steel balls and ceramic balls. This phenomenon shows that in the field of fine grinding, ceramic balls do have a superior grinding capacity. With the addition of steel balls to ceramic ball milling, this property is weakened, but is still higher than steel balls.
In summary, at 0 to 10 min, the grinding effect of ceramic ball grinding for +0.3 mm particles is significantly lower than that of steel balls. The grinding effect for +0.075 mm particles is lower than that of steel balls when the grinding time is 0 to 4 min, but when the grinding time is more than 6 min, the grinding effect of the ceramic balls for +0.075 mm particles is better. It is possible to improve the grinding efficiency of ceramic balls by adding steel balls to compensate for the weakness of the ceramic balls in grinding particles with a size of +0.3 mm. Additionally, this method can also enhance the grinding ability of the ceramic balls on particles with a size of +0.075 mm during the first 4 min.
4.2. Particle Size Distribution
To be able to objectively compare the particle size characteristics of the ground products of the three grinding media, the ground products of the three grinding media at a grinding time of 4 min were compared.
Figure 5 shows the results of the fitting using the R–R formula for the three mill products. The vast majority of data points are on the line of fit, indicating a good fit.
The magnitude of the parameter
n can be obtained from the fitting results. The magnitude of parameter b can be obtained from further calculations.
Table 6 demonstrates the specific values of parameter
n and parameter
b for the three mill products. In this batch of milling products, the most coarse grain size is +0.425 mm. Conforming to 0 <
x < 1 mm, at this time, the smaller
n, the faster
R falls, and the more uniform the particle size distribution [
36,
37]. The parameter
n for the steel balls was the largest at 1.207, followed by the binary media at 1.101, and the ceramic balls’ was the smallest at 1.017. That is to say, the ground product with ceramic balls has the most uniform particle size distribution, followed by the ground product with binary media, and the ground product with steel balls has the worst uniformity. This point can also illustrate that after replacing some of the ceramic balls with steel balls, although it can improve the breakage capacity of coarse grains, at the same time, it will also reduce the uniformity of the ground product.
Figure 6 illustrates the negative accumulation curves of the three ground products. In the fine-grained section, the negative cumulative particle size characteristic curve of the ceramic ball milling product and that of the steel ball milling almost coincide. This indicates that ceramic ball milling can also achieve the fineness of the steel ball milling. The −0.075 mm yield of the ceramic ball milling product is 44.90%, and the −0.075 mm yield of the steel ball milling product is 45.94%, and the difference between them is only 1.04 percentage point. For the coarse fraction, the grinding capacity of steel balls is significantly higher than that of ceramic balls. After adding steel balls to the ceramic ball milling, there was a significant increase in the negative accumulation curve of the ground product. This shows that this operation can make up for the shortcomings of the ceramic ball milling’s insufficient ability to grind coarse grains.
4.4. Industrial Applications
The Nanshan Mine is a common magnetite stage grinding-stage separation process. The product of the first-stage grinding and classifying system enters the first magnetic separation. The obtained coarse concentrate enters the second-stage grinding and classifying system. The second-stage classification system contains two MQY2700 × 3600 mm ball mills, and the two mills share a hydrocyclone unit. Both of the mills were produced from Sichuan Mining Machinery Co (Chengdu, China). The workflow is shown in
Figure 9.
Before the industrial experiment, both ball mills were ground with steel balls, and only Φ50 mm steel balls were used for loading and replenishing, with a filling rate of 33%. The experimental plan was to prioritize the modification of the #7 ball mill and the replacement of the mill media with ceramic balls, and then the modification and replacement of the grinding media for the #8 ball mill after the production of the concentrator stabilized.
At the beginning of the experiment, the #7 ball mill was loaded with ceramic balls, and the ratio of the ceramic ball was Φ30 mm:Φ25 mm:Φ20 mm = 3 t:9 t:3 t. Samples were taken from the #7 and #8 mill discharges, respectively, and the results are shown in
Table 7.
As can be seen from
Table 7, the −0.075 mm yield of the ceramic ball grinding (mill #7) product is the same as the −0.075 mm yield of the steel ball grinding (mill #8) product, and the average fineness of −0.075 mm is very close between the ceramic ball and steel ball. This indicates that the replacement of steel balls with ceramic balls as the grinding media for the second stage of grinding is entirely feasible and will not affect the throughput of the processing plant. However, during the screening process, it was found that the ceramic ball ground product contained more coarse particles, which were subsequently screened at full particle size, and the main data is shown in
Figure 9. It can be seen that the discharge yield of −0.075 mm was close to that of the ceramic ball mill ore and the steel ball mill ore, 24.58% and 25.81%, respectively. However, the ceramic ball ground product +0.3 mm yield is about 13 percentage points higher than that of the steel ball. This part of the coarse particles will re-enter the ball mill with the return sand, which will increase the load of the mill, and some limitations are confirmed in the industry that the ceramic ball is less effective in grinding the coarse particles.
Based on the initial findings of the industrial trials, a total of 1.5 tons of Φ50 mm steel balls were added to the #7 ball mill to increase the impact of the media on the coarse particles and thus enhance the grinding effect of the ball mill. After a period of stable operation with the addition of steel balls, the ground product was then sampled and screened.
Figure 10 shows the particle size distribution of the ground product for the three different media regimes of ceramic ball, steel ball, and binary media. After the addition of steel balls to the #7 mill, the yield of coarse particles of +0.3 mm decreased significantly. The +0.3 mm yield in the ground product of the binary media was 13.45%, which was reduced by about 7 percentage points. Enhancing the grinding capacity of coarse particles by the addition of steel balls is a phenomenon consistent with what is seen in laboratory studies. This also indicates that the industrial application of ceramic balls may suffer from a lack of grinding capacity for coarse-grained minerals, which is a matter of concern.
In the later stages of the industrial experiment, both ball mills #7 and #8 replaced the grinding media from steel balls to ceramic balls and added a portion of steel balls after the production had stabilized. The mill and ball consumption were counted before and after the experiment.
Table 8 shows the specific situation of electricity and ball consumption before and after the industrial experiment. Without affecting the production capacity of the ore processing plant, the energy-saving and consumption-reduction effects of ceramic ball milling are remarkable. Compared with steel ball milling, the unit electricity consumption of ceramic ball milling decreased by 3.325 kWh/t, representing a decrease of 53.33%. The unit ball consumption cost decreased by 0.452 dollar/t, representing a decrease of 64.30%.