Study on the Effect of Inorganic/organic Grinding Aids on the Kinetic Model Parameters of Quartz Grinding
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摘要:
以石英为磨机给料，通过添加6种助磨剂（无机类助磨剂焦磷酸钠、硫酸铝以及三聚磷酸钠；有机类助磨剂丙三醇、柠檬酸以及乙基黄原酸钾）进行湿式磨矿试验，建立了助磨剂添加前后石英粉磨的m阶磨矿动力学模型，系统分析了助磨剂对模型参数和磨矿速率的影响。研究表明经过磨矿时间10 min后，用量0.5%三聚磷酸钠使得磨矿产品中−0.074 mm含量增加7.44百分点，用量0.5%柠檬酸使得磨矿产品中−0.074 mm含量增加7.00百分点；助磨剂改变了模型参数k和m的值，整体磨矿效果取决于k和m的综合效应；三聚磷酸钠作用下，−1+0.45 mm粒级石英磨矿速率的增量最大，柠檬酸作用下，−0.45+0.18 mm粒级石英磨矿速率的增量最大。
Abstract:Quartz was used as the feed material of the mill, and six grinding aids (inorganic grinding aids: sodium pyrophosphate, aluminum sulfate, and sodium tripolyphosphate; organic grinding aids: glycerol, citric acid, and potassium ethylxanthate) were added to conduct a wet grinding test. The m-order grinding kinetic model of quartz grinding before and after the addition of grinding aids was established, and the effects of grinding aids on the model parameters and grinding rate were systematically analyzed. It was shown that after 10 min grinding, the amount of 0.5% sodium tripolyphosphate increased the −0.074 mm content of the grinding products by 7.44 percentage points and the amount of 0.5% citric acid increased the −0.074 mm content of the grinding products by 7.00 percentage points. The grinding aids changed the values of model parameters k and m. The overall grinding effect depended on the combined effect of k and m. The increment of −1+0.45 mm quartz with sodium tripolyphosphate grinding rate is the largest, and the increment of −0.45+0.18 mm with citric acid grinding rate is the largest.
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Key words:
- quartz /
- grinding aids /
- grinding kinetics /
- grinding efficiency
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表 1 磨矿条件参数
Table 1. Parameters of grinding condition
湿式磨矿参数 参数取值 转速率/% 80 介质充填率/% 45 料球比 0.75 磨矿浓度(质量百分比)/ % 70 
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表 2 不同磨矿时间下磨矿产品的粒度分布
Table 2. Particle size distribution of grinding products in different time
粒级/mm 不同磨矿时间下磨矿产品的各粒级含量/% 0 min 1 min 3 min 5 min 7 min 10 min −2+1 16.15 11.70 9.32 6.25 4.22 4.02 −1+0.45 57.64 48.89 41.82 31.66 24.89 23.28 −0.45+0.18 85.04 79.08 72.76 63.95 56.90 52.54 −0.18+0.1 94.65 91.27 87.37 81.72 76.19 73.31 −0.1+0.074 100.00 96.60 94.65 89.55 86.41 83.74
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表 3 各粒级的m阶磨矿动力学方程式参数k和m
Table 3. Parameters k and m of m-order grinding kinetic equation for each grain size
粒级/mm k m R2 −2+1 0.3078 0.6509 0.9670 −1+0.45 0.1586 0.7615 0.9734 −0.45+0.18 0.0704 0.8303 0.9852 −0.18+0.1 0.0349 0.8587 0.9874 −0.1+0.074 0.0314 0.7299 0.9536
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表 4 助磨剂作用后磨矿产品粒度组成
Table 4. Particle size distribution of grinding products with grinding aids in different time
粒级/mm 用量0.7%焦磷酸钠作用后不同磨碎时间的
磨矿产品各粒级累计含量/%用量0.5%硫酸铝作用后不同磨碎时间的
磨矿产品各粒级累计含量/%1 min 3 min 5 min 7 min 10 min 1 min 3 min 5 min 7 min 10 min −2+1 14.17 8.94 5.82 4.53 2.12 12.20 8.46 5.55 3.47 1.59 −1+0.45 50.91 38.10 28.90 22.80 12.63 51.75 41.69 30.54 19.72 9.49 −0.45+0.18 80.47 70.60 61.08 54.72 41.51 81.19 71.24 63.95 52.60 38.28 −0.18+0.1 91.52 86.02 79.77 74.95 64.57 93.49 87.34 82.57 74.80 63.79 −0.1+0.074 97.52 94.01 88.63 85.55 78.94 98.95 94.70 91.07 85.75 78.10 −0.074 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 粒级/mm 用量0.5%三聚磷酸钠作用后不同磨碎时间的
磨矿产品各粒级累计含量/%用量0.5%柠檬酸作用后不同磨碎时间的
磨矿产品各粒级累计含量/%1 min 3 min 5 min 7 min 10 min 1 min 3 min 5 min 7 min 10 min −2+1 12.36 7.76 5.57 3.32 1.53 12.97 9.21 4.94 3.67 1.63 −1+0.45 51.43 37.35 27.31 19.03 8.33 49.80 39.16 22.82 18.91 9.10 −0.45+0.18 78.66 69.47 60.55 51.50 36.08 79.48 70.11 56.28 50.31 35.97 −0.18+0.1 90.71 85.49 79.51 73.47 62.27 91.17 85.03 76.94 71.81 61.56 −0.1+0.074 96.41 93.83 89.37 85.00 77.74 97.52 93.54 88.24 84.33 76.30 −0.074 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 粒级/mm 用量0.7%丙三醇作用后不同磨碎时间的
磨矿产品各粒级累计含量/%用量0.5%乙基黄原酸钾作用后不同磨碎时间的
磨矿产品各粒级累计含量/%1 min 3 min 5 min 7 min 10 min 1 min 3 min 5 min 7 min 10 min −2+1 12.59 8.93 5.54 3.59 2.26 13.80 9.39 4.83 4.20 1.49 −1+0.45 51.00 38.04 30.90 22.73 14.62 52.48 42.35 30.11 24.60 7.68 −0.45+0.18 80.14 71.06 63.76 55.15 44.49 80.23 72.51 63.85 57.11 36.66 −0.18+0.1 91.22 86.96 81.79 76.05 67.43 91.51 87.98 80.91 77.33 62.46 −0.1+0.074 97.35 94.53 90.80 88.96 78.26 97.27 95.23 89.86 87.75 77.37 −0.074 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00
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表 5 助磨剂作用下的m阶磨矿动力学模型
Table 5. M-order grinding kinetic models with grinding aids
助磨剂及用量 m阶磨矿动力学模型 焦磷酸钠（0.7%） 
硫酸铝（0.5%） 
三聚磷酸钠（0.5%） 
柠檬酸（0.5%） 
丙三醇（0.7%） 
乙基黄原酸钾（0.5%） 
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