Abstract
The objective of this study is to analyze dry grinding behavior of four different pumices in terms of Bond grindability value, selection and breakage parameters values. For this purpose, firstly, Bond grindability test were made for four pumices. Then, eight different mono-size fractions for each of pumices were carried out between 1.7 and 0.106 mm formed by a \({\surd 2}\) sieve series, and ground batch wise in a laboratory ball mill for determination of breakage parameters. Finally, S i and B i,j equations were determined from the size distributions at different grinding times, and the model parameters (S i , a T , α, γ, β and \({\phi_{j}}\)) were compared for four different pumice samples.
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Abbreviations
- J :
-
Fraction of mill volume filled by the ball bed
- f c :
-
Fraction of mill volume filled by the powder bed
- U :
-
Fraction of the interstices of the ball bed filled by powder
- W :
-
Total powder mass in the mill
- t :
-
Grinding time ( min)
- w 1(t):
-
Weight fraction of mill hold-up that is of size 1 at time t
- i :
-
An integer indexing a \({\surd 2}\) screen interval
- S i :
-
Specific rate of breakage (min−1)
- X i :
-
The upper limits of the size interval indexed by i (mm)
- a T :
-
Model parameter
- α :
-
Model parameter
- b i, j :
-
Breakage distribution function, part of interval j falling into interval i
- B i, j :
-
Cumulative breakage distribution function
- P i (0):
-
Cumulative weight fraction at time 0 for size interval i
- P i (t):
-
Cumulative weight fraction at time t for size interval i
- γ :
-
Model parameter
- β :
-
Model parameter
- \({\phi_{j}}\) :
-
Model parameter
- δ :
-
Model parameter
- G bg :
-
Bond grindability index (g/rev)
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Deniz, V., Çayırlı, S. & Umucu, Y. Investigation of breakage behavior of different mineralogical and morphological characteristic pumices. Granular Matter 13, 623–629 (2011). https://doi.org/10.1007/s10035-011-0270-7
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DOI: https://doi.org/10.1007/s10035-011-0270-7