基于CIM改进模型的PBX 9501炸药冲击起爆前期的流场分析

金博; 曾代朋; 王延飞; 陈军; 张震宇

doi:10.11858/gywlxb.2017.01.013

基于CIM改进模型的PBX 9501炸药冲击起爆前期的流场分析

doi: 10.11858/gywlxb.2017.01.013

1.
中国工程物理研究院流体物理研究所冲击波物理与爆轰物理实验室，四川绵阳 621999
2.
国防科学技术大学理学院技术物理研究所，湖南长沙 410073

基金项目:

中国工程物理研究院科学技术基金 2013B0101001

详细信息

作者简介:
金博(1988-), 男, 硕士, 主要从事爆炸力学研究.E-mail:jinbo1122@163.com

中图分类号: O381;TQ560.1
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出版历程
- 收稿日期: 2016-04-20
- 修回日期: 2016-06-26

Fluid Dynamics Analysis of Early-Stage Shock Initiation ofPBX 9501 Using Improved CIM

1.
National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, CAEP, Mianyang 621999, China
2.
Institute of Technical Physics, College of Science, National University ofDefense Technology, Changsha 410073, China

摘要

摘要: 利用特征线法、简化的状态方程、炸药冲击阻抗与声阻抗的关系，可以得到凝聚炸药冲击起爆前期反应流场的解析模型(CIM2)。选择具有单一形式、带耗散项的反应速率函数，进而计算出不同深度炸药的粒子速度剖面。通过对不同深度反应速率的重新假设，改进了CIM2模型，并将其应用于PBX 9501炸药。结果表明，改进模型减缓了CIM2模型中的能量输送现象，从而能够更准确地计算冲击波阵面粒子速度、峰值粒子速度、峰值到达时间和粒子速度曲线形状。
- 特征线 /
- 反应速率 /
- 常阻抗模型 /
- PBX 9501
Abstract: In this work we obtained an analytic model CIM2 for the flow field of the reaction zone of condensed explosives in early-stage shock initiation using the characteristic line, the simplified equation of state and the simplified relationship between the material impedance and the shock impedance.By choosing a single form of the reaction rate with the dissipative term, we calculated the particle velocity at different depths of condensed explosives.The CIM2 model was improved by the new hypothesis of the reaction rates at different depths, and was applied to the calculation of PBX 9501.The results show that the improvement of CIM2 can slow down the energy transport after the shock, and that the improved CIM2 can give a more exact calculation of the particle velocity of the shock and crest, the time at which the crest arrives, and the curve of the particle velocity.
- characteristic line /
- reaction rate /
- constant impedance model /
- PBX 9501

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图 1 拉格朗日波系图

Figure 1. Lagrangian wave diagram

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图 2 PBX 9501炸药不同深度处的粒子速度剖面

Figure 2. Particle velocity versus time curvesat different depths of PBX 9501

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图 3 结果对比

Figure 3. Comparison of results

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表 1 炸药及飞片参数

Table 1. Parameters of explosive and flyer

Material	ρ₀/(g/cm³)	c/(km/s)	u_d/(km/s)	σ	U/(km/s)
PBX 9501	1.842	5.28	3.80	0.25
Al flyer	2.785	5.33			0.75

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表 2 不同深度采用的反应度-时间关系式

Table 2. Relationship of extent of reaction and time at different depths

d/(mm)	Reaction rate function
0	λ=1-exp(-1.20τ^2.50/2.50)
0.93	λ=1-exp(-1.08τ^2.55/2.55)
1.94	λ=1-exp(-1.15τ^2.75/2.75)
2.93	λ=1-exp(-1.20τ^2.90/2.90)
3.92	λ=1-exp(-1.30τ^3.15/3.15)
4.91	λ=1-exp(-4.00τ^5.50/5.50)

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参考文献(5)

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[2]	JAMES H R, LAMBOURN B D.On the systematics of particle velocity histories in the shock-to-detonation transition regime [J].J Appl Phys, 2006, 100(8):084906. doi: 10.1063/1.2354416
[3]	HILL L R, GUSTAVSEN R L, ALCON R R, et al.Shock initiation of new and aged PBX 9501 measured with embedded electromagnetic particle velocity gauges: LA-13634-MS [R].Los Alamos: Los Alamos National Laboratory, 1999.
[4]	陈军, 田占东, 曾代朋, 等.PBX 9501炸药冲击起爆初期反应流体动力学特性研究[J].高压物理学报, 2013, 27(3):331-336. http://www.gywlxb.cn/CN/abstract/abstract1571.shtml CHEN J, TIAN Z D, ZENG D P, et al.Reactive hydrokinetics in the early stage of shock initiation of PBX 9501 [J].Chinese Journal of High Pressure Physics, 2013, 27(3):331-336. http://www.gywlxb.cn/CN/abstract/abstract1571.shtml
[5]	李述涛.固体炸药起爆早期反应速率研究[D].长沙: 国防科学技术大学, 2009: 25-32. http://cdmd.cnki.com.cn/Article/CDMD-90002-2010165540.htm LI S T.Analysis of the reactive rate for solid explosives during the early stage to detonation [D].Changsha: National University of Defense Technology, 2009: 25-32. http://cdmd.cnki.com.cn/Article/CDMD-90002-2010165540.htm