Influence of multi-factor coupling on methane explosion characteristics
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摘要: 为了探究多因素耦合作用对甲烷爆炸特性的影响，采用1.2 L圆柱形爆炸装置，结合自主设计和搭建的可燃气体爆炸试验平台，从最大爆炸压力的角度分析了不同当量比φ （0.6～1.4）、初始温度T0 （25～200 ℃）和初始压力p0 （0.1～0.5 MPa）耦合条件对甲烷爆炸特性的影响规律。在此基础上，基于实验获得的最大爆炸压力数据，利用1stOpt构建了甲烷最大爆炸压力与当量比、初始温度和初始压力的非线性回归预测模型。结果表明：在初始温度和初始压力耦合作用下，初始压力越高，初始温度对最大爆炸压力的影响越大；初始温度越高，初始压力对最大爆炸压力的影响越小。在初始压力和当量比耦合作用下，在研究的实验条件范围内，当φ<0.9或φ>1.2时，初始压力越高，最大爆炸压力的变化越显著。在初始温度和当量比耦合作用下，在实验条件范围内，当φ>1.15时，初始温度越高，最大爆炸压力的变化越显著。此外，通过将基于1stOpt预测模型的预测结果与实验测试结果相比较，发现二者之间的相对误差均小于10%，表明该预测模型具有较高的精度和适应性。Abstract: To investigate the influence of multi-factor coupling on the explosion characteristics of methane, an explosive gas test platform with a 1.2 L cylindrical explosive device was designed and established. From the perspective of the maximum explosion pressure, the effects of different equivalence ratios φ (0.6–1.4), initial temperatures T0 (25–200 ℃) and initial pressures p0 (0.1–0.5 MPa) on methane explosion characteristics were comprehensively analyzed. Based on the maximum explosion pressure data by the experiments, a nonlinear regression prediction model among the maximum explosion pressure of methane, equivalence ratio, initial temperature and initial pressure was developed by the 1stOpt software. The results show that: under the coupling effect of the initial temperature and initial pressure, the higher the initial pressure, the more the significant effect of the initial temperature on the maximum explosion pressure. However, with the increasing of the initial temperature, the effect of initial pressure on the maximum explosion pressure is weakened. Under the coupling effect of the initial pressure and equivalence ratio, and within the experimental conditions of the study, when φ<0.9 or φ>1.2, the higher the initial pressure, the more dramatically on the maximum explosion pressure changes. Under the coupling effect of initial temperature and equivalence ratio, and within the experimental conditions of the study, when φ>1.15, the higher the initial temperature, the more significantly the maximum explosion pressure changes. In addition, comparing the prediction results of the 1stOpt prediction model with the experimental results, the relative error is less than 10%. It is indicated that the prediction model can provide high accuracy and good adaptability.
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Key words:
- maximum explosion pressure /
- coupling effect /
- methane-air mixture /
- prediction model
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图 8 最大爆炸压力预测值与实际值的拟合结果
Figure 8. Fitting results of predicted values and actual values of maximum explosion pressure
表 1 拟合函数的各项参数
Table 1. The parameters of the fitting function
φ z0 A B C D F R2 0.6 −0.219 63 3.175 84 3.84×10−3 0.121 76 −1.57×10−5 1.74×10−4 0.99346 0.8 0.012 74 4.903 38 −9.80×10−4 0.542 77 3.64×10−6 −7.00×10−3 0.99791 1.0 0.083 44 4.944 25 −2.20×10−3 1.417 31 9.35×10−6 −8.69×10−3 0.99500 1.2 0.037 01 5.772 23 −2.54×10−3 0.464 03 1.06×10−5 −8.61×10−3 0.99542 1.4 −0.053 28 5.016 48 −2.43×10−4 1.521 04 2.33×10−6 −8.38×10−3 0.99735 
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表 2 不同公式拟合条件下的评价指标对比
Table 2. Comparison of evaluation indicators under different formula fitting conditions
序号 公式 R2 ξ 1 $ {p_{\max }} = {(0.077\;2 + \varphi )^2}\left[ {\dfrac{{10\;000 + 11\;864.817{p_0} + 7.992{T_0} + 8\;083.171\varphi }}{{659.786 - 179.164{p_0} + 0.536{T_0} + 541.349\varphi }} - {{(3.882 + {p_0})}^2}} \right] $ 0.9927 0.08434 2 $ {p_{\max }} = {p_0} - 0.827 + \dfrac{{248.495{p_0} - 0.162{T_0} - 89.858\varphi }}{{126.022 - 35.188{p_0} + 0.452{T_0} - 53.084\varphi }} + 2.351\varphi $ 0.98623 0.11560 3 $ {p_{\max }} = (\varphi + 3.309)\left( {{p_0} + \dfrac{{1.430}}{{{T_0}}}} \right) $ 0.96536 0.18361 4 $ {p_{\max }} = - 0.428 + 4.568{p_0} - 0.001\;92{T_0} + 0.019\;2\varphi $ 0.96489 0.20642 5 $ {p_{\max }} = {p_0}^{1.103}\left( {4.621\varphi + \dfrac{1}{{198.124 - {T_0}}}} \right) $ 0.92045 0.29428
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表 3 模型预测结果与实验结果对比
Table 3. Comparison between the prediction results and the experimental results
序号 p0/MPa T0/℃ φ pmax/MPa 相对误差/% 实测值 预测值 1 0.35 80.416 1.185 1.773 1.764 0.508 2 0.13 97.067 0.984 0.605 0.567 6.281 3 0.15 81.376 0.991 0.748 0.678 9.358 4 0.41 74.65 0.810 1.919 1.769 7.817 5 0.15 195.14 1.155 0.571 0.580 1.576 6 0.35 120.16 0.919 1.564 1.527 2.366
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