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Results of t-family curves versus mean particle size fraction for different limestones were shown in Fig. 5, Fig. 6 and Fig. 7.
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4. Proposed size distribution model equation
King [25] described a method of presenting the product size distributions obtained from drop weight tests. It is based on the observations made by Narayanan and Whiten [26], that the cumulative fraction of products passing 1/nth of the mean size was denoted by tn, is related to that passing one-tenth of the parent size denoted by t10. It was also reported that this relationship was applicable to different ore types tested under different impact loading conditions.
In this study, a different size distribution relationship has been exposed tn values for crushing products in the direct laboratory impact crusher. As a result of this study, the relationship between the cumulative percentage passing (tn) with Bond work index (Wi) and mean particle size (X) was empirically described by Eq. (3).
(3)
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The experimental values and the calculated results obtained by Eq. (3) were compared in Fig. 8.
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Eq. (3) mostly satisfies the experimental values in a wide range of feed size, and Eq. (3) is useful especially when evaluating the particle size distribution in the actual operation by a high regression value (r2 = 0.88). Thus, the relationship between the cumulative percentage passing (tn) with Bond work index (Wi) and mean particle size (X) was empirically described by Eq. (3).
5. Results and discussion
The results showed that limestone-I sample was more friable than limestone-II sample while limestone-II sample was more friable than limestone-III sample. A set of t-curves were calculated from the direct a laboratory impact mill and a new size distribution equation was developed.
The product size distribution from the breakage by impact crusher of particle can be described as all-parameter (tn) family of curves. The product size distributions were found to be normalizable with respect to particle sizes. Cumulative percentages of passing material belong to (tn) the experimental data was compared with the proposed equation given a better results with data and has a potential use in industrial applications.
In this study, the type of limestone has emerged very clearly played an important role in comminution. In addition, in crusher selection was played an important role of the standard the Bond grindability and work index values.
The t-curves are the family of size distribution curves which can be used to describe the product size distribution of the breakage particles during single-particle breakage tests. The cumulative percentages passing of the parameters t2, t4, t10, t25, t50 and t75 are determined by linear interpolation from the breakage products passing against the different range of sieve sizes. However, there are many difficulties and problems in drop weight and twin pendulum test methods such as being laborious, requiring long test time and requiring a special apparatus.