Analysis and theoretical calculation of explosion characteristics of methane-air mixture in a spherical vessel
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摘要: 为研究甲烷-空气混合物在密闭球形容器内的爆炸特性，首先利用化学平衡计算软件确定合适的燃烧产物与化学平衡温度，估算甲烷-空气混合物的最大爆炸压力。然后基于火焰增长模型，用MATLAB编辑循环语句程序，计算了甲烷-空气混合气体爆炸的压力时程曲线，通过与实验数据对比，验证了化学平衡软件计算方法与火焰增长模型的可行性，并分析了误差的产生原因。进而利用火焰增长模型推出的经验公式计算爆燃指数，发现在当量比附近与实验结果拟合程度较好。Abstract: To study the characteristics of the methane-air mixture exploding in a closed spherical container, we determined the appropriate combustion products and chemical equilibrium temperature using the chemical equilibrium calculation software, thereby predicting the maximum explosion pressure of the mixture. The MATLAB program based on the flame growth model was adopted to calculate the curve showing the relationship between the explosion pressure and time. The calculation processes were verified by the comparison of the obtained results with the experimental data, and the origin of the error was also identified. Further, it is found that the empirical formula of the deflagration index KG derived from the flame growth model is well fitted with the experimental date near the chemical equivalent line.
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图 1 化学平衡计算所得爆炸压力值与实验的对比
Figure 1. Comparison of chemical equilibrium calculation results with experimental data
图 5 火焰增长模型计算结果与实验值的比较
Figure 5. Comparison of theoretical results by flame growth model with experimental data
表 1 球形容器内甲烷-空气混合气体的爆燃指数
Table 1. Deflagration index of methane-air mixture in spherical vessel
空气燃料比 KG, exp/(MPa·m·s-1) KG/(MPa·m·s-1) ξ<1 ξ<0.95 ξ<0.90 0.828 2.136 4.44118 4.21257 3.88981 0.945 6.305 7.50427 7.00937 6.40062 1.055 7.417 8.24091 7.87229 7.17593 1.058 7.365 8.39706 7.84194 7.14657 1.184 5.910 7.66787 7.17321 6.53207 
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