Fractal analysis of thermal conduction of loose coal

作     者：WANG Yijiang ZHOU Guoqing WEI Yazhi ZHOU Yang 

作者机构：School of Mechanics & Civil Engineering China University of Mining & Technology Xuzhou 221116 China State Key Laboratory of Geomechanics & Deep Underground Engineering China University of Mining & Technology Xuzhou 221008 China 

出 版 物：《Mining Science and Technology》 (矿业科学技术（英文版）)

年 卷 期：2010年第20卷第6期

页      面：831-834,838页

核心收录：

学科分类：0819[工学-矿业工程] 081903[工学-安全技术及工程] 08[工学] 0835[工学-软件工程] 081202[工学-计算机软件与理论] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：support for this study, provided by the National Natural Science Foundation of China (Nos50534040 and 50974117) the Research Fund of the State Key Laboratory of Coal Resources & Mine Safety, CUMT (No07KF10) 

主　　题：loose coal thermal conductivity fractal theory box-counting dimension 

摘      要：For deep mining engineering, heat transfer of coal mass is a vital factor in the thermal environment of coal mines. In order to study the thermal conduction mechanism, we obtained gray images of coal mass microstructure by scanning samples with a digital microscope. With the use of Matlab, these gray images were transformed into binary images, which were then transformed into a corresponding matrix consisting only of the values 0 and 1. According to the calculation method of box-counting dimension, we calculated the fractal dimension of the loose coal to be approximately 1.86. The thermal conductivity expressions of loose coal were derived based on the simulation method of thermal resistance. We calculated the thermal conductivity of loose coal by using a fractal model and compared the calculated values with our experimental data. The results show that the test data show an encourag-ing agreement with the calculated values. Hence fractal theory is a feasible method for studying thermal conductivity of loose coal.