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A new approach to the calculation of work index and the potential energy of a particulate material

Staboliadis Ilias, Emmanouilidis Stamatis, Petrakis Evaggelos

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URI: http://purl.tuc.gr/dl/dias/8B3A0C0E-F896-43EE-A775-BA13B56BFC94
Year 2011
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation 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, pp. 28-32, July 2011. doi: 10.4236/gm.2011.12005 https://doi.org/10.4236/gm.2011.12005
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Summary

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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