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Dimensionless analysis and application on the mathematical model for spontaneous combustion in goaf
Author(s): ZHU Jian-fang, QIN Yue-ping, YANG Xiao-bin, CHENG Gen-yin, Hebei Province Key Lab.of Mine Disaster Prevention and Control, School of Safety Engineering, North China University of Science and Technology, School of Resource & Safety Engineering, China University of Mining and Technology
Pages: 2626-
2630
Year: 2016
Issue:
10
Journal: Journal of China Coal Society
Keyword: spontaneous combustion in goaf; mathematical model; dimensionless analysis; criterion; chart method;
Abstract: Spontaneous combustion is controlled by prediction and forecast mainly in goaf. However,it has a number of influential factors and these factors have mutual relationships,which result in a great difficulty to prediction. Therefore,the length of face was selected as reference dimension. Also,the reference value was determined such as reference velocity,reference oxygen concentration and reference temperature and so on. Then the dimensionless criteria were defined including dimensionless pressure,dimensionless oxygen diffusion coefficient and Fourier ’s number and so on.Based on these criteria,the model of spontaneous combustion in goaf was transformed into dimensionless model by dimensional homogeneity. Subsequently,the influence of model’s dimensionless criteria on spontaneous combustion in goaf were analyzed one by one,acquiring two dimensionless criteria:oxygen consumption and heat release. Their value ranges were further analyzed. Spontaneous combustion was modeled by various combinations in the value range of two dimensionless criteria,acquiring the maximum of dimensionless temperature. Then the discrimination diagram of spontaneous combustion in goaf was drawn for prediction. The research finding has a theoretical and practical significancefor spontaneous combustion control in mine.
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