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Acta Metall Sin  1993, Vol. 29 Issue (2): 54-59    DOI:
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FRACTAL SURFACE OF ROCK OR ORE PARTICLES AND RELATED COMMINUTION ENERGY
LI Gongbo;XU Xiaohe Northeast University of Technology; Shenyang
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LI Gongbo;XU Xiaohe Northeast University of Technology; Shenyang. FRACTAL SURFACE OF ROCK OR ORE PARTICLES AND RELATED COMMINUTION ENERGY. Acta Metall Sin, 1993, 29(2): 54-59.

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Abstract  Semi-automatic image analysis system is used for fractal dimensionmeasurement of the outline of a rock or ore particle in comminution. The experimental datashow that the fractal dimension of particle surface is in the range of 2.033--2.110, which isslightly higher with finer in particle size. Therefore, according to the theory that energy incomminution is proportional to the fractal surface area of particle, the formula which is sameas Hukki's empirical equation is obtained and is stated as general form of three expressionsbased on the Kick's, Rittinger's and Bond's theory.
Key words:  rock or ore particle      energy in comminution      fractal     
Received:  18 February 1993     
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1 Hukki R T. Trans AIME, 1961; 220: 403
2 Mandelbrot B B, Passoja D E, Paullay J. Nature, 1984; 308: 721
3 Charles R J. Trans AIME, 1957; 208: 80
4 Kwong J NS, Adams Jr J T, Johnson J F, Piret E L. Chem Eng Prog, 1949; 45: 508, 655, 708, 715
5 Brown J H, Mitchell S R, Weissman M. Trans AIME, 1960; 217: 203
6 Avnir D, Farin D. Nature, 1984; 308: 261
7 Lee H, Carr J R, Barr D J, Haas C J, Int J Rock Mech Min Sci Geomech Abstr, 1990; 27: 453
8 Peleg M, Normand M D. Powder Technol, 1985; 43: 187
9 Bond F C. Mathematics of Crushing and Grinding Recent Developments in Mineral Dressing. London: 1952: 101
10 Li Gongbo, Tang Chunan, Xu Xianhe. Trans Nonferrous Metals Soc Chin, 1911; 1 (1) : 35
11 李启衡.碎矿与磨矿.北京:冶金工业出版社,1980:9/
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