Generalized mathematical model applied to a silica sand laboratory-controlled mill: Derivation of simplified ceramic ball entrance flux, ball wear consumption, and mass distribution functions

IF 4.9 2区 工程技术 Q1 ENGINEERING, CHEMICAL Minerals Engineering Pub Date : 2024-10-24 DOI:10.1016/j.mineng.2024.109055
Jesús Medina-Pierres , Juan M. Menéndez-Aguado , M.R. Fulla , I.E. Rivera
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Abstract

A laboratory-controlled milling process of silica sand was carried out using aluminum oxide balls of three different sizes. The ball wear kinetic equations were experimentally obtained from the evolution curves of the ball diameter as a function of the operating time. From a generalized model, the ball entrance flux and ball wear consumption were calculated using exact two-parameter solution functions. One-parameter ball entrance flux and ball wear consumption functions were proposed to perform calculations that accurately describe the values provided by the two-parameter functions. In addition, a compact form of the ball mass distribution function is found. This set of simplified equations can be suitable for fast calculations in the milling industry.
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应用于硅砂实验室控制磨机的通用数学模型:简化陶瓷球入口通量、球磨损消耗和质量分布函数的推导
使用三种不同尺寸的氧化铝球对硅砂进行了实验室控制的研磨过程。通过实验从球直径随工作时间的变化曲线中获得了球磨损动力学方程。根据广义模型,使用精确的双参数求解函数计算了球入口通量和球磨损消耗量。提出了单参数球入口通量和球磨损消耗函数,以进行精确描述双参数函数所提供数值的计算。此外,还找到了球质量分布函数的紧凑形式。这组简化方程适用于制粉行业的快速计算。
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来源期刊
Minerals Engineering
Minerals Engineering 工程技术-工程:化工
CiteScore
8.70
自引率
18.80%
发文量
519
审稿时长
81 days
期刊介绍: The purpose of the journal is to provide for the rapid publication of topical papers featuring the latest developments in the allied fields of mineral processing and extractive metallurgy. Its wide ranging coverage of research and practical (operating) topics includes physical separation methods, such as comminution, flotation concentration and dewatering, chemical methods such as bio-, hydro-, and electro-metallurgy, analytical techniques, process control, simulation and instrumentation, and mineralogical aspects of processing. Environmental issues, particularly those pertaining to sustainable development, will also be strongly covered.
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