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𝑭 =
𝑻𝑴
𝑯 𝒑𝒖𝒍𝒑𝒂
𝑫𝒆𝒏𝒔𝒊𝒅𝒂𝒅 𝑻 𝑴 𝑯
𝒙 35.31
𝒇𝒕3
𝒎3 𝒙
𝑯
60 𝒎𝒊𝒏
𝐹 =
44.100 𝑇𝑀
𝐻
1.280 𝑇𝑀
𝑚3
𝑥 35.31
𝑓𝑡3
𝑚3 𝑥
𝐻
60 𝑚𝑖𝑛
𝐹 = 20. 30
𝑓𝑡3
𝑚3
𝑉
𝑟 =
𝐹 𝑓𝑡3 𝑚3
0.75
𝑥 𝑇 𝑚𝑖𝑛
𝑉
𝑟 =
20.30 𝑓𝑡3 𝑚𝑖𝑛
0.75
𝑥 16 min = 433.06 𝑓𝑡3
𝑉
𝑟 = 433.06 𝑥 1.5 = 649.60 𝑓𝑡3
𝑁° 𝑑𝑒 𝐶𝑒𝑙𝑑𝑎𝑠 =
𝑉
𝑟
𝑉 𝑐𝑒𝑙𝑑𝑎
𝑁° 𝑑𝑒 𝐶𝑒𝑙𝑑𝑎𝑠 =
649.60 𝑓𝑡3
40 𝑓𝑡3 𝑐𝑒𝑙𝑑𝑎
𝑁° 𝑑𝑒 𝐶𝑒𝑙𝑑𝑎𝑠 = 16 𝐶𝑒𝑙𝑑𝑎𝑠
𝑉
𝑐 =
1440 𝑥 𝑛 𝑥 𝑉𝑐𝑒𝑙𝑑𝑎 𝑥 𝑘
𝑡
𝑉
𝑐 =
1440 𝑥 30 𝑥 2.832 𝑥 0.70
20
= 4282
𝑚3
𝑑í𝑎
𝑃𝑒𝑠𝑜 𝑑𝑒 𝑝𝑢𝑙𝑝𝑎 = 𝜌𝑒 𝑥 𝑉
𝑃𝑒𝑠𝑜 𝑑𝑒 𝑝𝑢𝑙𝑝𝑎 = 1.3
𝑇𝑀
𝑚3
𝑥 4282
𝑚3
𝑑í𝑎
= 5566
𝑇𝑀
𝑑í𝑎
𝑇𝑀𝑆𝑃𝐷 𝑠𝑜𝑙𝑖𝑑𝑜𝑠 = 5566.6
𝑇𝑀
𝑑í𝑎
𝑥 0.30 = 1669.98 ≈ 1670
𝑇𝑀𝑆
𝑑í𝑎 𝑑𝑒 𝑚𝑖𝑛𝑒𝑟𝑎𝑙
𝑉
𝑐 =
1440 𝑥 3 𝑥 9.905 𝑥 0.70
18.60
= 1610.36
𝑇𝑀
𝑑í𝑎
𝑉
𝑐 =
1440 𝑥 26 𝑥 0.6792 𝑥 0.70
11.05
= 1610.90
𝑇𝑀
𝑑í𝑎
𝑃𝑒𝑠𝑜 𝑑𝑒 𝑃𝑢𝑙𝑝𝑎 = 𝜌𝑒 𝑥 𝑉
𝑃𝑒𝑠𝑜 𝑑𝑒 𝑃𝑢𝑙𝑝𝑎 = 1.27
𝑇𝑀
𝑚3
𝑥 (1610.6
𝑚3
𝑑í𝑎
) = 2045.5
𝑇𝑀
𝑑í𝑎
𝑇𝑀𝑆𝑃𝐷 𝑠ó𝑙𝑖𝑑𝑜𝑠 = 2045.5
𝑇𝑀
𝑑í𝑎
𝑥 0.30 = 613.6
𝑇𝑀
𝑑í𝑎 𝑑𝑒 𝑚𝑖𝑛𝑒𝑟𝑎𝑙
𝐸𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑖𝑎 𝑑𝑒 𝐶𝑎𝑝𝑎𝑐𝑖𝑑𝑎𝑑 𝑑𝑒 𝐹𝑙𝑜𝑡𝑎𝑐𝑖𝑜𝑛 =
𝑇𝑛 𝑃𝑟𝑎𝑐𝑡.
𝑇𝑛 𝑇𝑒𝑜𝑟𝑖𝑐𝑜
𝑥 100
𝐸𝑓𝑖𝑐. 𝐶𝑎𝑝. 𝐹𝑙𝑜𝑡𝑎𝑐𝑖𝑜𝑛 =
540
613.6
𝑥 100
𝐸𝑓𝑖𝑐. 𝐶𝑎𝑝. 𝐹𝑙𝑜𝑡𝑎𝑐𝑖𝑜𝑛 = 88 %
𝑡 =
1440 𝑥 𝑛 𝑥 𝑉𝑐𝑒𝑙𝑑𝑎 𝑥 𝑘
𝑉
𝑐
𝑡 =
𝑛 𝑥 𝑉𝑘 𝑥 𝑘
𝑉
𝑚
= 𝑚𝑖𝑛.
𝑅𝑝 =
100 − %𝑆
%𝑆
𝑅𝑝 =
100 − 25
25
= 3.0
𝑡 =
1440 𝑥 𝑛 𝑥 𝑉𝑐𝑒𝑙𝑑𝑎 𝑥 𝑘
𝑉
𝑐
𝑡 =
1440
𝑚𝑖𝑛
𝑑í𝑎
𝑥 40 𝑐𝑒𝑙𝑑𝑎𝑠 𝑥 1.133
𝑚3
𝑐𝑒𝑙𝑑𝑎
𝑥 0.70
2666.67
𝑚3
𝑑í𝑎
= 17.13 𝑚𝑖𝑛.
𝑅𝑝 =
100 − 30
30
= 2.3
𝑇𝑀𝑃𝐷 𝐻2𝑂 = 𝑅𝑝 𝑥 𝜌𝑠
𝑇𝑀𝑃𝐷 𝐻2𝑂 = 2.3 𝑥 540 = 1242.00 𝑇𝑀𝑃𝐷
𝑡 =
71 𝑐𝑒𝑙𝑑𝑎𝑠 𝑥 1440
𝑚𝑖𝑛
𝑑í𝑎
𝑥 0.6792
𝑚3
𝑐𝑒𝑙𝑑𝑎
𝑥 0.70
1610.75
𝑚3
𝑑í𝑎
= 30.18 𝑚𝑖𝑛.
𝑡 =
3 𝑐𝑒𝑙𝑑𝑎𝑠 𝑥 1440
𝑚𝑖𝑛
𝑑í𝑎
𝑥 9.905
𝑚3
𝑐𝑒𝑙𝑑𝑎
𝑥 0.70
1610.75
𝑚3
𝑑í𝑎
= 18.60 𝑚𝑖𝑛.
𝑡 =
26 𝑐𝑒𝑙𝑑𝑎𝑠 𝑥 1440
𝑚𝑖𝑛
𝑑í𝑎
𝑥 0.6792
𝑚3
𝑐𝑒𝑙𝑑𝑎
𝑥 0.70
1610.75
𝑚3
𝑑í𝑎
= 11.05 𝑚𝑖𝑛.

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Dimensionamiento de celdas de flotación

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  • 25. 𝑭 = 𝑻𝑴 𝑯 𝒑𝒖𝒍𝒑𝒂 𝑫𝒆𝒏𝒔𝒊𝒅𝒂𝒅 𝑻 𝑴 𝑯 𝒙 35.31 𝒇𝒕3 𝒎3 𝒙 𝑯 60 𝒎𝒊𝒏
  • 26. 𝐹 = 44.100 𝑇𝑀 𝐻 1.280 𝑇𝑀 𝑚3 𝑥 35.31 𝑓𝑡3 𝑚3 𝑥 𝐻 60 𝑚𝑖𝑛 𝐹 = 20. 30 𝑓𝑡3 𝑚3 𝑉 𝑟 = 𝐹 𝑓𝑡3 𝑚3 0.75 𝑥 𝑇 𝑚𝑖𝑛
  • 27. 𝑉 𝑟 = 20.30 𝑓𝑡3 𝑚𝑖𝑛 0.75 𝑥 16 min = 433.06 𝑓𝑡3 𝑉 𝑟 = 433.06 𝑥 1.5 = 649.60 𝑓𝑡3 𝑁° 𝑑𝑒 𝐶𝑒𝑙𝑑𝑎𝑠 = 𝑉 𝑟 𝑉 𝑐𝑒𝑙𝑑𝑎
  • 28. 𝑁° 𝑑𝑒 𝐶𝑒𝑙𝑑𝑎𝑠 = 649.60 𝑓𝑡3 40 𝑓𝑡3 𝑐𝑒𝑙𝑑𝑎 𝑁° 𝑑𝑒 𝐶𝑒𝑙𝑑𝑎𝑠 = 16 𝐶𝑒𝑙𝑑𝑎𝑠
  • 29. 𝑉 𝑐 = 1440 𝑥 𝑛 𝑥 𝑉𝑐𝑒𝑙𝑑𝑎 𝑥 𝑘 𝑡 𝑉 𝑐 = 1440 𝑥 30 𝑥 2.832 𝑥 0.70 20 = 4282 𝑚3 𝑑í𝑎
  • 30. 𝑃𝑒𝑠𝑜 𝑑𝑒 𝑝𝑢𝑙𝑝𝑎 = 𝜌𝑒 𝑥 𝑉 𝑃𝑒𝑠𝑜 𝑑𝑒 𝑝𝑢𝑙𝑝𝑎 = 1.3 𝑇𝑀 𝑚3 𝑥 4282 𝑚3 𝑑í𝑎 = 5566 𝑇𝑀 𝑑í𝑎 𝑇𝑀𝑆𝑃𝐷 𝑠𝑜𝑙𝑖𝑑𝑜𝑠 = 5566.6 𝑇𝑀 𝑑í𝑎 𝑥 0.30 = 1669.98 ≈ 1670 𝑇𝑀𝑆 𝑑í𝑎 𝑑𝑒 𝑚𝑖𝑛𝑒𝑟𝑎𝑙
  • 31. 𝑉 𝑐 = 1440 𝑥 3 𝑥 9.905 𝑥 0.70 18.60 = 1610.36 𝑇𝑀 𝑑í𝑎 𝑉 𝑐 = 1440 𝑥 26 𝑥 0.6792 𝑥 0.70 11.05 = 1610.90 𝑇𝑀 𝑑í𝑎
  • 32. 𝑃𝑒𝑠𝑜 𝑑𝑒 𝑃𝑢𝑙𝑝𝑎 = 𝜌𝑒 𝑥 𝑉 𝑃𝑒𝑠𝑜 𝑑𝑒 𝑃𝑢𝑙𝑝𝑎 = 1.27 𝑇𝑀 𝑚3 𝑥 (1610.6 𝑚3 𝑑í𝑎 ) = 2045.5 𝑇𝑀 𝑑í𝑎 𝑇𝑀𝑆𝑃𝐷 𝑠ó𝑙𝑖𝑑𝑜𝑠 = 2045.5 𝑇𝑀 𝑑í𝑎 𝑥 0.30 = 613.6 𝑇𝑀 𝑑í𝑎 𝑑𝑒 𝑚𝑖𝑛𝑒𝑟𝑎𝑙 𝐸𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑖𝑎 𝑑𝑒 𝐶𝑎𝑝𝑎𝑐𝑖𝑑𝑎𝑑 𝑑𝑒 𝐹𝑙𝑜𝑡𝑎𝑐𝑖𝑜𝑛 = 𝑇𝑛 𝑃𝑟𝑎𝑐𝑡. 𝑇𝑛 𝑇𝑒𝑜𝑟𝑖𝑐𝑜 𝑥 100 𝐸𝑓𝑖𝑐. 𝐶𝑎𝑝. 𝐹𝑙𝑜𝑡𝑎𝑐𝑖𝑜𝑛 = 540 613.6 𝑥 100 𝐸𝑓𝑖𝑐. 𝐶𝑎𝑝. 𝐹𝑙𝑜𝑡𝑎𝑐𝑖𝑜𝑛 = 88 %
  • 33. 𝑡 = 1440 𝑥 𝑛 𝑥 𝑉𝑐𝑒𝑙𝑑𝑎 𝑥 𝑘 𝑉 𝑐 𝑡 = 𝑛 𝑥 𝑉𝑘 𝑥 𝑘 𝑉 𝑚 = 𝑚𝑖𝑛.
  • 34. 𝑅𝑝 = 100 − %𝑆 %𝑆 𝑅𝑝 = 100 − 25 25 = 3.0
  • 35.
  • 36. 𝑡 = 1440 𝑥 𝑛 𝑥 𝑉𝑐𝑒𝑙𝑑𝑎 𝑥 𝑘 𝑉 𝑐 𝑡 = 1440 𝑚𝑖𝑛 𝑑í𝑎 𝑥 40 𝑐𝑒𝑙𝑑𝑎𝑠 𝑥 1.133 𝑚3 𝑐𝑒𝑙𝑑𝑎 𝑥 0.70 2666.67 𝑚3 𝑑í𝑎 = 17.13 𝑚𝑖𝑛.
  • 37.
  • 38.
  • 39. 𝑅𝑝 = 100 − 30 30 = 2.3 𝑇𝑀𝑃𝐷 𝐻2𝑂 = 𝑅𝑝 𝑥 𝜌𝑠 𝑇𝑀𝑃𝐷 𝐻2𝑂 = 2.3 𝑥 540 = 1242.00 𝑇𝑀𝑃𝐷
  • 40.
  • 41. 𝑡 = 71 𝑐𝑒𝑙𝑑𝑎𝑠 𝑥 1440 𝑚𝑖𝑛 𝑑í𝑎 𝑥 0.6792 𝑚3 𝑐𝑒𝑙𝑑𝑎 𝑥 0.70 1610.75 𝑚3 𝑑í𝑎 = 30.18 𝑚𝑖𝑛. 𝑡 = 3 𝑐𝑒𝑙𝑑𝑎𝑠 𝑥 1440 𝑚𝑖𝑛 𝑑í𝑎 𝑥 9.905 𝑚3 𝑐𝑒𝑙𝑑𝑎 𝑥 0.70 1610.75 𝑚3 𝑑í𝑎 = 18.60 𝑚𝑖𝑛.
  • 42. 𝑡 = 26 𝑐𝑒𝑙𝑑𝑎𝑠 𝑥 1440 𝑚𝑖𝑛 𝑑í𝑎 𝑥 0.6792 𝑚3 𝑐𝑒𝑙𝑑𝑎 𝑥 0.70 1610.75 𝑚3 𝑑í𝑎 = 11.05 𝑚𝑖𝑛.