G-S分布にしたがう鉄鉱石の粉砕産物の粒度と比表面積あるいは粉砕エネルギーの関係について
1966 年 82 巻 943 号 p. 920-925
詳細
1966 年 82 巻 943 号 p. 920-925
The size distribution of grinding products in the fine size range is represented by Gaudin-Schuhumann equation,
y=100(x/k)α(1)
whereyis the cumulative weight percent finer than sizex, kis the size modulus and denotes the theoretical maximum-size in the assembly, andαis the distribution modulus, depending on the grinding device.
Assuming that equation (1) is valid only beyond the lower limits of y andαis a constant independent of grinding time, specific surfacearea is expressed by the following equation, S=f/ζ·F(α)·1/k(2)
wheress is specific surface area, ζis density and f is shape factor.
Combining equation (2) with Lewis equation, expressing the relation between grinding energy and size reduction is also derived as follows.t=C[F(α)]n-1/n-1(k1-n-k01-n)(3)
wheretis grinding time (αgrindin energy), nandCare constants in Lewis equation, andk0is the size modulus of feed.
Equation (2) is applicable to even the condition that the coefficient is infinite, namely, α-n+1=0 in Charles equation.
The validity of equation (2) and (3) is discussed from the experimental results of ball mill grinding of magnetite, hematite and limonite in our laboratory.
