A New Approach to the Calculation of Work Index and the Potential Energy of a Particulate Material
Elias Stamboliadis, Stamatis Emmanouilidis, Evangelos Petrakis
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DOI: 10.4236/gm.2011.12005   PDF   HTML     8,551 Downloads   16,774 Views   Citations

Abstract

The work index Wi was defined by F. Bond as the specific energy (kWh/ton) required to reduce a particulate material from infinite grain size to 100 microns. The calculation is based on the size-energy relationship e1,2=C.(1/x2n–1/x1n ) , which for n = 0.5, x1 = ∞ and x2 =100, by definition gives e∞, 100 = Wi and consequently C=10Wi. In theory, for a given material the value found for Wi.should be constant regardless of the measured sizes x1 and x2 used to calculate the constant C by measuring the energy e. In practice this is not so due to the fact that n ≠ 0.5 and many correction factors have been proposed to overcome this inadequacy experienced by accepting n= 0.5. The present paper proposes a simple way to calculate the appropriate exponent n using conventional grinding procedures. The same calculation can be used to calculate the true value of Wi and attribute a potential energy state to a material at any size.

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E. Stamboliadis, S. Emmanouilidis and E. Petrakis, "A New Approach to the Calculation of Work Index and the Potential Energy of a Particulate Material," Geomaterials, Vol. 1 No. 2, 2011, pp. 28-32. doi: 10.4236/gm.2011.12005.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] P. R. Rittinger, “Lehrbuch der Aufbereitungskunde,” Berlin, 1867.
[2] F. C. Bond, “The Third Theory of Comminution,” Transactions on AIME Mining Engineering, Vol. 193, 1952, pp. 484-494.
[3] R. J. Charles, 1957, “Energy-Size Reduction Relationships in Comminution,” Transactions on AIME Mining Engineering, Vol. 208, pp. 80-88.
[4] E. Stamboliadis, “Impact Crushing Approach to the Relationship of Energy and Particle Size in Comminution,” European Journal of Mineral Processing and Environ- mental Protection, Vol. 3, No. 2, 2003, pp. 160-166.
[5] F. C. Bond, “Crushing and Grinding Calculations,” British Chemical Engineering, Vol. 6, 1961, pp. 378-385.
[6] V. Spitas, P. Makris, M. Founti, “A Novel Dry Pulverizer for Low Cost Production of Powders,” Particulate Science and Technology, Vol. 17, No. 3, 1999, pp. 217-228. doi:10.1080/02726359908906814
[7] G. Stamboltzis, “Calculation of the Net Power of Laboratory Ball Mills,” Mining and Metallurgical Annals, No. 76, 1990, pp. 47-55, in Greek Language.
[8] R. T. Hukki, “Proposal for a Solomonic Settlement between the Theories of von Rittinger, Kick and Bond,” Transactions on AIME, Vol. 220, 1961, pp. 403-408.
[9] E. Stamboliadis, “The Fracture of Brittle Materials as an Equilibrium of Surface and Cohesion Energy: The Size Effect,” Journal of the Mechanical Behavior of Materials, Vol. 16, No. 6, 2005, pp. 363-377. doi:10.1515/JMBM.2005.16.6.363
[10] E. Stamboliadis, “The Energy Distribution Theory of Comminution, Specific Surface Energy, Mill Efficiency and Distribution mode,” Minerals Engineering, Vol. 20, No. 2, 2007, pp. 140-145. doi:10.1016/j.mineng.2006.07.009

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