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矿岩粉碎颗粒分形结构与粉碎能耗的关系 被引量:7

FRACTAL SURFACE OF ROCK OR ORE PARTICLES AND RELATED COMMINUTION ENERGY
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摘要 用半自动图象分析系统测定了矿岩粉碎后颗粒的周边分形结构,得到粉碎后颗粒表面的分维数在2.033—2.110范围,其分维数随粒度减小而有所增大。按粉碎能耗增量正比?颗粒分形结构的表面积增量原理,得到和Hukki粉碎能耗表达式相同的结果,后者是概括了Rittinger,Kick和Bond三大粉碎能耗学说的共同表达式。 Semi-automatic image analysis system is used for fractal dimension measurement of the outline of a rock or ore particle in comminution. The experimental data show that the fractal dimension of particle surface is in the range of 2.033--2.110, which is slightly higher with finer in particle size. Therefore, according to the theory that energy in comminution is proportional to the fractal surface area of particle, the formula which is same as Hukki's empirical equation is obtained and is stated as general form of three expressions based on the Kick's, Rittinger's and Bond's theory.
出处 《金属学报》 SCIE EI CAS CSCD 北大核心 1993年第2期B054-B059,共6页 Acta Metallurgica Sinica
基金 国家自然科学基金
关键词 矿岩颗粒 粉碎能耗 分形 rock or ore particle energy in comminution fractal
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