Το work with title A new approach to the calculation of work index and the potential energy of a particulate material by Staboliadis Ilias, Emmanouilidis Stamatis, Petrakis Evaggelos is licensed under Creative Commons Attribution 4.0 International
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
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.