A new method for calculating the detonation velocity of CHNO and CHNOAl explosives
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摘要: 基于理想混合炸药模型的概念，提出一种计算混合炸药爆速的新方法，并构造空气和铝粉与炸药组分相关的特征爆速关系式。对装药密度大于最大理论密度85%的26种CHNO类混合炸药、13种CNNO类单质炸药、25种含铝炸药进行计算，爆速的计算值与实验值吻合较好，平均相对误差为0.01%，相关系数为0.961 5。通过数据分析，新方法优于Urizar方法和Kamlet方法。新方法是一种计算CHNO类和CHNOAl炸药爆速的可靠方法，对新型混合炸药的研究具有一定指导意义。Abstract: In this work we put forward a new method for calculating the detonation velocity of composite explosive based on the concept of the ideal composite explosive model, and constructed the characteristic detonation velocity equation of air and aluminum with explosive composition. Using this method, we performed calculation of the detonation velocity for 26 mixed CHNO explosives, 13 pure CHNO explosives, and 25 aluminized explosives, all of whose maximum theoretical charge density is more than 85%. The results showed that the calculated detonation velocities were in good agreement with the experimental values. The average relative error was 0.01% and the square of the correlation coefficient is 0.9615. Compared with the commonly adopted methods such as Kamlet and Urizar, the new method was more accurate. The new method not only provides a new way to calculate the detonation velocity of CHNO explosives and CHNOAl explosives, but may also serve as reference for the study of new composite explosives.
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Key words:
- CHNO explosives /
- CHNOAl explosives /
- Kamlet method /
- Urizar method
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表 1 CHNO类混合炸药爆速的实验与计算对比
Table 1. Comparison between experimental and calculated data of mixed CHNO explosives detonation velocity
编号 炸药配比 ρ0/(g·cm-3) D/(km·s-1) D/(km·s-1) D/(km·s-1) 实验[9] 计算 ε/% 实验[9] Kamlet ε/% 实验[9] Urizar ε/% 1 50RDX/50TNT 1.627 7.600 7.570 -0.34 7.600 7.460 -1.84 7.600 7.584 -0.21 2 60RDX/40TNT 1.715 7.890 7.904 0.18 7.890 7.902 0.15 7.890 7.993 1.31 3 64RDX/36TNT 1.713 8.030 7.972 -0.73 8.030 7.942 -1.10 8.030 8.039 0.11 4 65RDX/35TNT 1.715 8.060 7.992 -0.85 8.060 7.961 -1.23 8.060 8.059 -0.03 5 75RDX/25TNT 1.648 7.952 7.974 0.28 7.952 7.823 -1.16 7.952 7.965 0.16 6 77RDX/23TNT 1.743 8.252 8.246 -0.08 8.252 8.212 -0.48 8.252 8.303 0.62 7 78RDX/22TNT 1.755 8.306 8.276 -0.37 8.306 8.271 -0.43 8.306 8.356 0.60 8 42.7RDX/57.3TNT 1.700 7.500 7.603 1.38 7.500 7.641 1.88 7.500 7.719 2.92 9 35PETN/65TNT 1.668 7.358 7.353 -0.07 7.358 7.331 -0.37 7.358 7.523 2.24 10 40PETN/60TNT 1.673 7.303 7.413 1.50 7.303 7.391 1.21 7.303 7.605 4.14 11 45PETN/55TNT 1.677 7.420 7.474 0.73 7.420 7.448 0.38 7.420 7.684 3.56 12 50PETN/50TNT 1.682 7.662 7.537 -1.63 7.662 7.510 -1.99 7.662 7.765 1.35 13 50PETN/50TNT 1.660 7.530 7.514 -0.21 7.530 7.431 -1.32 7.530 7.696 2.20 14 60PETN/40TNT 1.650 7.730 7.608 -1.58 7.730 7.480 -3.23 7.730 7.792 0.81 15 60PETN/40TNT 1.626 7.340 7.547 2.82 7.340 7.393 0.73 7.340 7.715 5.11 16 25PETN/75TNT 1.623 7.250 7.198 -0.71 7.250 7.090 -2.21 7.250 7.251 0.02 17 20PETN/80TNT 1.603 7.200 7.115 -1.17 7.200 6.979 -3.06 7.200 7.124 -1.05 18 20PETN/80TNT 1.600 7.200 7.109 -1.26 7.200 6.969 -3.21 7.200 7.115 -1.18 19 10PETN/90TNT 1.624 7.100 7.056 -0.62 7.100 6.968 -1.87 7.100 7.051 -0.69 20 60CE/40TNT 1.620 7.330 7.337 0.09 7.330 7.174 -2.12 7.330 7.225 -1.43 21 60CE/40TNT 1.639 7.390 7.375 -0.20 7.390 7.241 -2.02 7.390 7.282 -1.46 22 65CE/35TNT 1.679 7.540 7.458 -1.09 7.540 7.407 -1.76 7.540 7.430 -1.45 23 76.3HMX/23.7TNT 1.809 8.452 8.437 -0.17 8.452 8.450 -0.03 8.452 8.506 0.64 24 70HMX/30TNT 1.800 8.377 8.283 -1.12 8.377 8.337 -0.48 8.377 8.394 0.20 25 75HMX/25TNT 1.810 8.480 8.407 -0.86 8.480 8.437 -0.50 8.480 8.492 0.15 26 50ENDA/50TNT 1.530 7.180 7.294 1.59 7.180 7.142 -0.53 7.180 7.179 -0.01 
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表 2 CHNO类单质炸药爆速的实验与计算对比
Table 2. Comparison between experimental and calculated data of pure CHNO explosives detonation velocity
编号 炸药 ρ0/(g·cm-3) D/(km·s-1) D/(km·s-1) 实验[10] 计算 ε/% 实验[10] Kamlet ε/% 1 RDX 1.80 8.750 8.794 0.51 8.750 8.786 0.42 2 RDX 1.77 8.700 8.764 0.74 8.700 8.684 -0.19 3 RDX 1.72 8.460 8.648 2.22 8.460 8.513 0.62 4 RDX 1.66 8.240 8.388 1.79 8.240 8.308 0.82 5 RDX 1.60 8.130 7.988 -1.75 8.130 8.102 -0.34 6 HMX 1.89 9.110 9.145 0.38 9.110 9.086 -0.26 7 PETN 1.76 8.270 8.279 0.10 8.270 8.663 4.75 8 PETN 1.70 8.070 8.208 1.71 8.070 8.457 4.80 9 PETN 1.60 7.750 7.812 0.80 7.750 8.115 4.71 10 TETRYL 1.71 7.850 7.655 -2.49 7.850 7.714 -1.74 11 TETRYL 1.68 7.500 7.625 1.67 7.500 7.620 1.60 12 TETRYL 1.61 7.580 7.443 -1.80 7.580 7.402 -2.34 13 TETRYL 1.73 7.720 7.660 -0.78 7.720 7.776 0.72
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表 3 含铝炸药爆速的实验与计算对比
Table 3. Comparison between experimental and calculated data of aluminized explosives detonation velocity
编号 炸药配比 ρ0/(g·cm-3) D/(km·s-1) D/(km·s-1) 实验[11] 计算 ε/% 实验[11] Urizar ε/% 1 90HMX/10Al 1.76 8.300 8.260 -0.48 8.300 8.193 -1.29 2 80HMX/20Al 1.82 8.300 8.091 -2.51 8.300 8.053 -2.98 3 70HMX/30Al 1.86 8.000 7.833 -2.08 8.000 7.820 -2.24 4 60HMX/40Al 1.94 7.700 7.624 -0.98 7.700 7.700 0 5 90RDX/10Al 1.68 8.030 7.968 -0.77 8.030 7.898 -1.65 6 80RDX/20Al 1.73 7.770 7.755 -0.19 7.770 7.737 -0.43 7 70RDX/30Al 1.79 7.580 7.622 0.56 7.580 7.590 0.13 8 60RDX/40Al 1.84 7.200 7.261 0.85 7.200 7.387 2.59 9 50RDX/50Al 1.89 6.810 6.826 0.23 6.810 7.163 5.18 10 90TNETB/10Al 1.75 8.120 8.024 -1.18 8.120 7.864 -3.16 11 80TNETB/20Al 1.82 7.990 7.921 -0.87 7.990 7.784 -2.58 12 70TNETB/30Al 1.88 7.840 7.817 -0.30 7.840 7.645 -2.49 13 89.4TNT/10.6Al 1.72 7.050 6.938 -1.58 7.050 6.959 -1.29 14 78.3TNT/21.7Al 1.80 7.050 6.934 -1.65 7.050 6.946 -1.47 15 67.8TNT/32.2Al 1.89 7.050 6.939 -1.57 7.050 6.943 -1.36 16 42RDX/40TNT/18Al 1.81 7.500 7.577 1.03 7.500 7.595 1.27 17 44RDX/32.2TNT/19.8Al/4wax 1.80 7.530 7.602 0.95 7.530 7.708 2.36 18 37.4RDX/27.8TNT/30.8Al/4wax 1.88 7.300 7.517 2.97 7.300 7.618 4.36 19 40RDX/38TNT/17Al/5wax 1.72 7.220 7.373 2.13 7.220 7.484 3.65 20 31RDX/29TNT/35Al/5wax 1.81 6.920 7.056 1.97 6.920 7.249 4.75 21 45RDX/30TNT/20Al/5wax 1.71 7.190 7.291 1.41 7.190 7.440 3.47 22 80TNT/20Al 1.72 6.700 6.875 2.62 6.700 6.743 0.65 23 41RDX/41TNT/18Al 1.81 7.530 7.561 0.41 7.530 7.582 0.69 24 42.1RDX/42.1TNT/15Al/0.8wax 1.75 7.490 7.531 0.55 7.490 7.519 0.39 25 42.1RDX/42.1TNT/15AL/0.8wax 1.75 7.510 7.535 0.33 7.510 7.526 0.22
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表 4 不同计算方法的精度对比
Table 4. Comparison of calculated accuracy between different methods
炸药 计算方法 误差范围/% ε/% εmax/% R2 |ε|≤1 1＜|ε|≤2 2＜|ε|≤3 |ε|＞3 CHNO混合炸药 本文方法 16 9 1 0 -0.17 2.82 0.967 2 CHNO混合炸药 Urizar方法 10 10 3 3 -1.04 -3.23 0.957 9 CHNO混合炸药 Kamlet方法 13 7 3 3 0.72 5.11 0.918 6 CHNO单质炸药 本文方法 6 5 2 0 0.24 -2.49 0.953 6 CHNO单质炸药 Kamlet方法 7 2 1 3 1.04 4.80 0.865 7 含铝炸药 本文方法 13 7 5 0 0.07 2.97 0.949 6 含铝炸药 Urizar方法 7 6 6 6 0.35 5.18 0.851 9
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1. 雷伟，张蒙蒙，王红星，杨斐，李秉擘，罗一鸣. DNP与DNAN基熔铸炸药的性能对比. 火炸药学报. 2022(03): 370-376 . 
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