An isentropic equation of state of detonation product based on a Hugoniot relationship of detonation product
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摘要: 对136组不同炸药的爆轰产物压力-粒子速度实验数据进行分段拟合，得到一个过C-J点的爆轰产物Hugoniot经验关系；对该经验关系进行Riemann积分，得到一个描述爆轰产物压力相对比容关系的爆轰产物等熵状态方程，该方程的参数仅为炸药的初始比容和C-J状态量，与传统经验等熵状态方程相比，不需要进行实验标定，因此可节约标定方程的实验成本和计算成本。为验证方程的合理性，采用该方程在压力相对比容平面上给出了Comp-B、HMX、PETN、ANFO、TNT以及LX-14炸药的爆轰产物等熵膨胀曲线，发现与采用JWL状态方程给出的相应炸药爆轰产物等熵膨胀曲线符合较好。
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关键词:
- 等熵状态方程 /
- Riemann积分 /
- 爆轰产物 /
- Hugoniot关系
Abstract: First, an empirical fit of the detonation product Hugoniot relationship through the C-J (Chapman Jouget) point was obtained by fitting 136 sets of the pressure-particle velocity experimental data of different explosives. Then, by Riemann integrating this relationship, an isentropic EOS (equation of state) of the detonation product, which describes the relationship between the pressure and the relative volume of the detonation product, was proposed. Unlike the traditional and empirical isentropic EOS, the new EOS requires no calibration by specific experiment because the parameters in it are just the initial specific volume and the C-J status variables of the explosive, thereby saving the cost of the calibration experiment and computing. For verification, the isentropic expansion curves of the detonation product of the Comp-B, HMX, PETN, ANFO, TNT and LX-14 explosives were plotted in the p-V space by adopting this new isentropic EOS and found to be in good agreement with the corresponding curves plotted by adopting the JWL isentropic EOS.-
Key words:
- isentropic EOS /
- Riemann integral /
- detonation product /
- Hugoniot relationship
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图 1 线性坐标和对数坐标下无量纲参数之间关系
Figure 1. Relationship between dimensionless parameters in linear coordinates and logarithmic coordinates
图 2 爆轰产物等熵状态方程对比
Figure 2. Comparison of isentropic equations of state of detonation products
炸药 A/GPa B/GPa C/GPa R1 R2 ω Comp-B 524.229 7.678 3 1.081 8 4.20 1.10 0.34 HMX 778.280 7.071 4 0.643 0 4.20 1.00 0.30 PETN 796.530 19.241 0 0.665 1 4.80 1.20 0.25 ANFO 75.180 -0.817 5 1.170 0 4.10 1.25 0.44 TNT 371.213 3.230 6 1.045 3 4.15 0.95 0.30 LX-14 826.100 17.240 0 0.129 6 4.55 1.32 0.38 
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