On ignition margin of fuel-air explosive cloud
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摘要: 考虑二次起爆药柱位于燃料空气炸药(fuel air explosive, FAE)抛散后形成的云团外围的情况,开展云团起爆裕度研究。设计了含12.5 kg的FAE样机,通过抛散试验确定了云团的最大半径。将1 kg级HMX基炸药作为二次起爆药柱,通过试验研究,基于高速和超压测试得到了药柱距云团边缘的距离和云团起爆状态的关系,并确定了距离阈值。以云团边缘超压峰值作为衡量起爆裕度的指标,通过经验公式和数值模拟研究了满足云团起爆条件的边缘超压峰值的阈值,并基于临界能量流判据对超压峰值进行了辅助验证。结果表明:将1 kg级HMX基炸药置于云团外围同样可以使云团产生爆轰现象,但距云团边缘的距离不应超过0.5 m;当二次起爆药柱能量足够使云团能够发生稳定爆轰时,二次起爆药柱的位置对爆轰超压的影响不大;为保证云团的起爆性能,二次起爆药柱产生的云团边缘超压峰值不应小于5 MPa。本文考虑了云团起爆的严苛条件,研究结果可为二次起爆药柱设计提供支撑。Abstract: This study focuses on the scenario in which the secondary initiation charge column is positioned at the periphery of the cloud formed subsequent to the dispersion of the fuel-air explosive (FAE). It conducts in-depth research on the initiation margin of the cloud. A prototype filled with 12.5 kg of cloud-bursting agent was meticulously designed. The maximum radius of the cloud was precisely determined through a series of dispersion tests. A 1 kg HMX-based explosive was employed as the secondary initiation charge column. Through comprehensive experimental investigations, including high-speed and overpressure tests, the relationship between the distance of the charge column from the edge of the cloud and the initiation state of the cloud was established, and the distance threshold was accurately determined. Using the peak overpressure at the edge of the cloud as an index to measure the initiation margin, the threshold of the peak overpressure at the cloud edge that satisfies the initiation conditions of the cloud was investigated via empirical formulas and numerical simulations. The peak overpressure was further verified based on the critical energy flow criterion. The results indicate that placing a 1 kg HMX-based explosive at the periphery of the cloud can also trigger the cloud to detonate, provided that the distance from the cloud edge does not exceed 0.5 m. When the energy of the secondary initiation charge column is adequate to trigger stable detonation of the cloud, the location of the secondary initiation charge column exerts minimal influence on the detonation overpressure. To guarantee the initiation performance of the cloud, the peak overpressure at the edge of the cloud generated by the secondary initiation charge column should not be lower than 5 MPa. This study takes into account the stringent conditions for cloud initiation, and the research findings can offer support for the design of secondary initiation charge columns.
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表 1 云团起爆状态
Table 1. Cloud ignition state
边缘距离/m 云团状态 是否起爆 0.4 30 ms 35 ms 是 

40 ms 45 ms 

0.5 30 ms 35 ms 是 

40 ms 45 ms 

0.6 30 ms 35 ms 否 

40 ms 45 ms 

0.7 30 ms 35 ms 否 

40 ms 45 ms 

−1
(云团里面起爆)30 ms 35 ms 是 

40 ms 45 ms 

表 2 云团爆轰超压峰值
Table 2. Peak overpressure of cloud detonation
云团边缘距离/m 超压峰值/MPa 测点距离5 m 测点距离7 m 测点距离9 m 1号 2号 平均 1号 2号 平均 1号 2号 平均 0.4 0.339 0.392 0.365 0.227 0.201 0.214 0.101 0.114 0.107 0.5 0.383 0.388 0.385 0.235 0.214 0.224 0.115 0.108 0.111 0.6 0.035 0.038 0.036 0.021 0.024 0.022 0.018 0.021 0.019 0.7 0.030 0.032 0.031 0.023 0.021 0.022 0.017 0.019 0.018 −1(云团内) 0.295 0.415 0.355 0.232 0.200 0.216 0.098 0.106 0.102 表 3 *MAT_HIGH_EXPLOSIVE_BURN和*EOS_JWL参数
Table 3. Parameters of *MAT_HIGH_EXPLOSIVE_BURN and*EOS_JWL
ρ0/(kg·m−3) D/(km·s−1) pCJ/GPa A/GPa B/GPa R1 R2 ω E0/GPa 1850 7.433 41 774 7.23 4.2 1 0.4 10 -
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