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首页> 外文期刊>九州大学工学集報 >Relationship between Bond's Work Index (Wi) and Uniformity Constant (n) of Grinding Kinetics on Tower Mill Pulverizing Limestone
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Relationship between Bond's Work Index (Wi) and Uniformity Constant (n) of Grinding Kinetics on Tower Mill Pulverizing Limestone

机译：塔式粉碎石灰石的邦定功指数（Wi）与研磨动力学均匀性常数（n）的关系

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摘要

To determine a required Tower Mill size, the theory of grinding kinetics is introduced. The uniformity constant (n) and the grinding rate constant (K) of the grinding kinetics which are considered as factors of grindability of a material are determined by experiment with a small Tower Mill. On the other hand, users of Tower Mill normally indicate only Bond's Work Index (Wi) as factor of grindability of a material. Between the both theories, Bond's Third Theory of comminution and Grinding Kinetics, no relationship have so far been considered. However, the following relationship between the both theories is analytically found out: ln(Wi)=ln(0.26/K')-ln(100).n The above relationship is rewiritten as follows: (Wi)=K".exp( -4.605 .n) Where K' and K" are kinetic factors in direct and inverse proportion to K, respectively, n is a uniformity constant of Grinding Kinetics. A regression analysis of the above relationship for experimented limestone samples is showed in Fig. 5. and classified by the rate constant (K), the sample size being twenty two(22). From the above relationship, the uniformity constant (n) which is obtained from the product size distributions can be determined with an information of Bond's Work Index (Wi) with the aid of rate constant (K).
机译：为了确定所需的塔磨机尺寸，引入了研磨动力学理论。被认为是材料的可磨性的因素的磨削动力学的均匀性常数（n）和磨削速率常数（K）是通过在小型塔式磨机上进行的实验确定的。另一方面，Tower Mill的用户通常仅将Bond的工作指数（Wi）表示为材料的可磨性。在两种理论之间，即邦德的第三种粉碎理论和磨削动力学，到目前为止，还没有考虑任何关系。但是，通过分析得出了这两种理论之间的以下关系：ln（Wi）= ln（0.26 / K'）-ln（100）.n上面的关系重新编写为：（Wi）= K“ .exp（ -4.605 .n）其中，K'和K“是分别与K成正比和成反比的动力学因子，n是研磨动力学的均匀性常数。图5显示了对上述石灰岩样品的上述关系的回归分析，并按速率常数（K）分类，样品大小为22（22）。根据以上关系，可以通过速率常数（K）借助邦德功指数（Wi）的信息来确定从产品尺寸分布获得的均匀性常数（n）。

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