基于量纲分析理论的煤尘爆炸能量预测模型

李雨成; 刘天奇; 周西华

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

doi: 10.11883/1001-1455(2017)03-0566-05

李雨成^{1, 2,},
刘天奇^{1, 2},
周西华^{1, 2}

1.
辽宁工程技术大学安全科学与工程学院, 辽宁阜新 123000
2.
辽宁工程技术大学矿山热动力灾害与防治教育部重点实验室, 辽宁阜新 123000

基金项目:

国家自然科学基金项目 51204089

国家自然科学基金项目 51274115

辽宁省教育厅科研项目 L2014131

详细信息

作者简介:
李雨成(1978—), 男, 博士, 副教授, 硕士生导师, lyclntu@163.com

中图分类号: O389;X936
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- 文章访问数: 4335
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- 被引次数: 0
出版历程
- 收稿日期: 2015-09-22
- 修回日期: 2015-12-28
- 刊出日期: 2017-05-25

An energy prediction model for coal dust explosion based on dimensional analysis

Li Yucheng^{1, 2
,},
Liu Tianqi^{1, 2},
Zhou Xihua^{1, 2}

1.
College of Safety Science and Engineering, Liaoning Technical University, Fuxin 123000, Liaoning, China
2.
Key Laboratory of Mine Thermo-motive Disaster and Prevention, Ministry of Education, Liaoning Technical University, Fuxin 123000, Liaoning, China

摘要

摘要: 为预测煤尘爆炸能量，基于量纲分析理论建立煤尘爆炸能量预测模型。选取爆炸能量E、空气密度ρ和大气压强p的量纲为导出量纲。根据量纲分析Π定理得出含有待定参数λ的具有普适性的能量预测模型。通过小型煤尘爆炸性实验设计，测定10次爆炸最长火焰长度平均值l₀、10次最长火焰长度出现时间平均值t₀与该小型煤尘爆炸中释放能量E₀，确定模型中参数λ为0.467。对模型变量t、E、l的函数关系进行合理性检验。通过实测的15组不同时刻的火焰长度进行模型变量t、l幂指关系检验。检验结果表明：量纲选取完备，预测模型科学合理。
- 煤尘爆炸 /
- 能量预测 /
- 量纲分析 /
- 预测模型
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 Π 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.
- coal dust explosion /
- energy prediction /
- dimensional analysis /
- predicting model

HTML全文

图 1 煤尘爆炸性鉴定装置

Figure 1. Identification equipment of coal dust explosibility

下载: 全尺寸图片幻灯片

图 2 拟合结果

Figure 2. Fitted result

下载: 全尺寸图片幻灯片

表 1 不同时刻的火焰长度

Table 1. Flame lengths at different times

t/s	l/m
0.000 1	0.087 6
0.000 3	0.135 0
0.000 5	0.166 6
0.000 7	0.190 8
0.000 9	0.210 9
0.001	0.220 1
0.003	0.341 6
0.005	0.418 9
0.007	0.479 3
0.009	0.529 8
0.010	0.552 9
0.011	0.574 1
0.012	0.594 5
0.013	0.613 5
0.014	0.632 4

下载: 导出CSV

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