Fundamental Studies on Impact Crushing

Abstract

When calculated by means of Rosin, Rammler and Sperling's Equation R=e⁻⁽ˣ/¯ˣ⁾, the residue of the crushed product R is equal to 1, in the case x/¯x=0, and becomes 0 in the case x/x=∞. Whereas, the actual particle size of the crushed product must be always smaller than the initial particle size x₀ of the raw material, or R must be equal to 0 in the case x/¯x=x₀/¯x<∞. Therefore, the above equation does not show good agreement with the measured values of extremely coarse grains. The authors have presented the following equation as an expression for the size distribution of the crushed product and to represent the relations among the net work input to crushing, Aᵣ, the surface increase ΔS, and the size distribution of the crushed product : R=e⁻⁽ˣ´/¯ˣ´⁾ⁿ where 1/x´=a/x-1/x₀ and They presents also as an expression of the relation between the net work input to crushing, Aᵣ, and the number of blows, z. They have confirmed that these equations give good agreements with the corresponding experimental results.