Other language title :
ﺑﺮرﺳﯽ ﺗﺄﺛﯿﺮ ﺗﻌﺪاد ﻟﯿﻔﺘﺮﻫﺎ ﺑﺮ ﻋﻤﻠﮑﺮد آﺳﯿﺎﻫﺎي ﻧﯿﻤﻪﺧﻮدﺷﮑﻦ ﻣﻘﯿﺎس ﭘﺎﯾﻠﻮت ﺑﺎ اﺳﺘﻔﺎده از روش اﺟﺰاي ﮔﺴﺴﺘﻪ
Title of article :
Investigation of Effect of Number of Lifters on Performance of Pilot-Scale SAG Mills Using Discrete Element Method
Author/Authors :
Jahani Chegeni, M Faculty of Mining - Petroleum & Geophysics Engineering - Shahrood University of Technology - Shahrood, Iran , Kolahi, S Faculty of Mining - Petroleum & Geophysics Engineering - Shahrood University of Technology - Shahrood, Iran
Abstract :
The number of lifters of mill shell liners, mill rotation speed, and filling percentage of
grinding media are three of the most important parameters influencing the charge behavior
and the trajectory of ball motion inside the SAG mills, and consequently, their
performance. In this paper, the milling operation of pilot-scale SAG mills using the
discrete element method (DEM) is investigated. First, a pilot-scale SAG mill with
dimensions of 3.0 m × 1.5 m with no lifter is simulated. Then by adding, respectively,
one, two, four, eight, sixteen, and thirty-two rectangle lifter(s), six other independent
simulations are performed. The effects of the number of lifters on the two new parameters
introduced by the authors, i.e. ‘head height’ and ‘impact zone length’ as well as on
creation of cascading, cataracting, and centrifuging motions for balls at two different mill
speeds, i.e. 70% and 80% of its critical speed (NC), are evaluated. Also in order to validate
the simulation results, a laboratory-scale SAG mill is simulated. The results obtained
indicate that the optimum number of lifters for pilot-scale SAG mills is between 16 and
32 lifters with medium thickness. Liners with the number of lifters in this range require
less mill speed to create cataract motions. However, liners with the number of lifters less
than this range require a higher mill speed. Also liners with the number of lifters beyond
this range require less mill speed, and can cause centrifugal motions in the balls.
Comparison of the simulations related to the laboratory-scale SAG mill with experimental
results demonstrates a good agreement, which validates the DEM simulations and the
software used.
Farsi abstract :
ﺗﻌﺪاد ﻟﯿﻔﺘﺮﻫﺎي ﻻﯾﻨﺮﻫﺎي ﭘﻮﺳﺘﻪ آﺳﯿﺎ، ﺳﺮﻋﺖ ﭼﺮﺧﺶ آﺳﯿﺎ، و درﺻﺪ ﭘﺮﺷﺪﮔﯽ ﺑﺎر ﺧﺮدﮐﻨﻨﺪه ﺳﻪ ﺗﺎ از ﻣﻬﻤﺘﺮﯾﻦ ﭘﺎراﻣﺘﺮﻫﺎﯾﯽ ﻫﺴﺘﻨﺪ ﮐﻪ رﻓﺘﺎر ﺑﺎر و ﻣﺴﯿﺮ ﺣﺮﮐﺖ ﮔﻠﻮﻟﻪﻫﺎ درون آﺳﯿﺎﻫﺎي ﻧﯿﻤﻪﺧﻮدﺷﮑﻦ و در ﻧﺘﯿﺠﻪ ﻋﻤﻠﮑﺮد آنﻫﺎ را ﺗﺤﺖ ﺗﺄﺛﯿﺮ ﻗﺮار ﻣﯽدﻫﻨﺪ. در اﯾﻦ ﻣﻘﺎﻟﻪ، ﻋﻤﻠﯿﺎت آﺳﯿﺎﮐﻨﯽ آﺳﯿﺎﻫﺎي ﻧﯿﻤﻪﺧﻮدﺷﮑﻦ ﻣﻘﯿﺎس ﭘﺎﯾﻠﻮت ﺑﺎ اﺳﺘﻔﺎده از روش اﺟﺰاي ﮔﺴﺴﺘﻪ )راگ( ﺑﺮرﺳﯽ ﺷﺪه اﺳﺖ. در اﺑﺘﺪا، ﯾﮏ آﺳﯿﺎي ﻧﯿﻤﻪﺧﻮدﺷﮑﻦ ﻣﻘﯿﺎس ﭘﺎﯾﻠﻮت ﺑﺎ اﺑﻌﺎد 3/0 ﻣﺘﺮ در 1/5 ﻣﺘﺮ ﺑﺪون ﻫﯿﭻ ﻟﯿﻔﺘﺮي ﺷﺒﯿﻪﺳﺎزي ﺷﺪه اﺳﺖ. ﺳﭙﺲ ﺑﺎ اﻓﺰودن ﺑﻪ ﺗﺮﺗﯿﺐ ﯾﮏ، دو، ﭼﻬﺎر، ﻫﺸﺖ، ﺷﺎﻧﺰده، و ﺳﯽ و دو ﻟﯿﻔﺘﺮ)ﻫﺎي( ﻣﺴﺘﻄﯿﻠﯽ، ﺷﺶ ﺷﺒﯿﻪﺳﺎزي ﻣﺴﺘﻘﻞ دﯾﮕﺮ اﻧﺠﺎم ﺷﺪﻧﺪ. ﺗﺄﺛﯿﺮات ﺗﻌﺪاد ﻟﯿﻔﺘﺮﻫﺎ ﺑﺮ دو ﭘﺎراﻣﺘﺮ ﺟﺪﯾﺪ ﻣﻌﺮﻓﯽﺷﺪه ﺑﻮﺳﯿﻠﻪ ﻣﺆﻟﻔﺎن ﯾﻌﻨﯽ »ارﺗﻔﺎع ﻫﺪ« و »ﻃﻮل زون ﺿﺮﺑﻪ« و ﻧﯿﺰ ﺑﺮ اﯾﺠﺎد ﺣﺮﮐﺎت آﺑﺸﺎري ﮐﻮﭼﮏ، آﺑﺸﺎري ﺑﺰرگ، و ﮔﺮﯾﺰ از ﻣﺮﮐﺰ ﺑﺮاي ﮔﻠﻮﻟﻪﻫﺎ در دو ﺳﺮﻋﺖ ﻣﺘﻔﺎوت آﺳﯿﺎ، ﯾﻌﻨﯽ 70 درﺻﺪ و 80 درﺻﺪ ﺳﺮﻋﺖ ﺑﺤﺮاﻧﯽ آن )NC( ﻣﻮرد ارزﯾﺎﺑﯽ ﻗﺮار ﮔﺮﻓﺘﻨﺪ. ﻫﻤﭽﻨﯿﻦ ﺑﻪ ﻣﻨﻈﻮر اﻋﺘﺒﺎرﺳﻨﺠﯽ ﮐﺮدن ﻧﺘﺎﯾﺞ ﺷﺒﯿﻪﺳﺎزيﻫﺎ، ﯾﮏ آﺳﯿﺎي ﻧﯿﻤﻪﺧﻮدﺷﮑﻦ ﻣﻘﯿﺎس آزﻣﺎﯾﺸﮕﺎﻫﯽ ﺷﺒﯿﻪﺳﺎزي ﺷﺪه اﺳﺖ. ﻧﺘﺎﯾﺞ ﺣﺎﺻﻞ ﻧﺸﺎن دادﻧﺪ ﮐﻪ ﺗﻌﺪاد ﺑﻬﯿﻨﻪ ﻟﯿﻔﺘﺮﻫﺎ ﺑﺮاي آﺳﯿﺎﻫﺎي ﻧﯿﻤﻪﺧﻮدﺷﮑﻦ ﻣﻘﯿﺎس ﭘﺎﯾﻠﻮت ﺑﯿﻦ 16 ﺗﺎ 32 ﻟﯿﻔﺘﺮ ﺑﺎ ﺿﺨﺎﻣﺖ ﻣﺘﻮﺳﻂ اﺳﺖ. ﻻﯾﻨﺮﻫﺎي ﺑﺎ ﺗﻌﺪاد ﻟﯿﻔﺘﺮﻫﺎ در اﯾﻦ ﻣﺤﺪوده ﺑﻪ ﺳﺮﻋﺖ ﮐﻤﺘﺮ آﺳﯿﺎ ﺑﺮاي اﯾﺠﺎد ﺣﺮﮐﺎت آﺑﺸﺎري ﺑﺰرگ ﻧﯿﺎز دارﻧﺪ. اﻣﺎ ﻻﯾﻨﺮﻫﺎي ﺑﺎ ﺗﻌﺪاد ﻟﯿﻔﺘﺮﻫﺎي ﮐﻤﺘﺮ از اﯾﻦ ﻣﺤﺪوده ﺑﻪ ﯾﮏ ﺳﺮﻋﺖ آﺳﯿﺎي ﺑﺎﻻﺗﺮ ﻧﯿﺎز دارﻧﺪ. ﻫﻤﭽﻨﯿﻦ، ﻻﯾﻨﺮﻫﺎي ﺑﺎ ﺗﻌﺪاد ﻟﯿﻔﺘﺮﻫﺎ ﻓﺮاﺗﺮ از اﯾﻦ ﻣﺤﺪوده ﺑﻪ ﺳﺮﻋﺖ ﮐﻤﺘﺮ آﺳﯿﺎ ﻧﯿﺎز دارﻧﺪ و ﻣﯽ ﺗﻮاﻧﻨﺪ ﺣﺮﮐﺎت ﮔﺮﯾﺰ از ﻣﺮﮐﺰ در ﮔﻠﻮﻟﻪﻫﺎ اﯾﺠﺎد ﮐﻨﻨﺪ. ﻣﻘﺎﯾﺴﻪ ﺷﺒﯿﻪﺳﺎزيﻫﺎي ﻣﺮﺑﻮط ﺑﻪ آﺳﯿﺎي ﻧﯿﻤﻪﺧﻮدﺷﮑﻦ ﻣﻘﯿﺎس آزﻣﺎﯾﺸﮕﺎﻫﯽ ﺑﺎ ﻧﺘﺎﯾﺞ ﺗﺠﺮﺑﯽ ﺗﻄﺎﺑﻖ ﺧﻮﺑﯽ را ﻧﺸﺎن ﻣﯽدﻫﺪ، ﮐﻪ ﺷﺒﯿﻪﺳﺎزيﻫﺎي راگ و ﻧﺮماﻓﺰار اﺳﺘﻔﺎدهﺷﺪه را اﻋﺘﺒﺎرﺳﻨﺠﯽ ﻣﯽﮐﻨﺪ.
Keywords :
Impact zone length , DEM simulation , Pilot-scale SAG Mill , Number of Lifters , Head height
Journal title :
Journal of Mining and Environment