爆炸与冲击2017，Vol.37Issue(3)：566-570,5.DOI:10.11883/1001-1455(2017)03-0566-05
基于量纲分析理论的煤尘爆炸能量预测模型
An energy prediction model for coal dust explosion based on dimensional analysis
摘要
Abstract
To assess the coal dust explosive power,we used the dimensional analysis mathematical method to model the prediction of the energyreleased from coal dust explosion.The basic dimensions selected are those of the distance,the mass and the time,of coal dust explosion's flame propagation.The selected output dimensions are those of explosive energy,the air density and the barometric pressure.According to the dimensional analysis Ⅱ theorem,we established the energy prediction model with unknown parameters and undetermined parameters,a model that is universally applicable.By carrying out a small-scale coal dust explosion experimental design,we determined the model parameters,and obtained the average maximum flame length of ten times of coal dust explosion,the average maximum flame time,and the released energy.The undetermined parameter was calculated as 0.467.It follows that the prediction model for coal dust explosive energy and its qualification were obtained.Based on our rationality analysis of this model,the experimental measured flame length of 15 different times of coal dust explosion was used to test the power exponent relationship.The test result verifies the completeness of the selected dimensions and the scientific rationality of the prediction model.Using fewer variable parameters,this model simplifies calculations and will provide important reference for explosion hazard assessment.关键词
煤尘爆炸/能量预测/量纲分析/预测模型Key words
coal dust explosion/energy prediction/dimensional analysis/predicting model分类
数理科学引用本文复制引用
李雨成,刘天奇,周西华..基于量纲分析理论的煤尘爆炸能量预测模型[J].爆炸与冲击,2017,37(3):566-570,5.基金项目
国家自然科学基金项目(51204089,51274115) （51204089,51274115）
辽宁省教育厅科研项目(L2014131) （L2014131）
