Shock wave property on interface of wedge explosive and LiF window
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摘要: 采用二维不定常流理论中的极曲线方法，对冲击波进入楔形受试炸药/LiF窗口界面的冲击波波后流场状态进行理论分析，同时采用流体动力学软件LS-DYNA对模型的波后流场状态进行数值模拟。结果表明，对于所研究的模型，一维平面正冲击波进入楔形受试炸药/LiF窗口界面时，由于斜激波的存在，波后粒子运动方向发生偏转，偏转角为3.3°。数值模拟结果表明，在相同模型条件下，冲击波波后粒子偏转角在2.77°~3.03°之间。二者的差异源于极曲线理论中未考虑稀疏波的影响。Abstract: In this study we investigated the property of the shock wave propagating into the LiF window using the pole-curve method of two-dimensional unsteady flow theory and the hydrokinetical software LS-DYNA. The result derived from the pole-curve method shows that, when the one dimensional planar shock wave moves from the wedge-shaped explosive to the LiF window, the moving direction of the particles changes with the angle of about 3.3°, whereas the change angle actually obtained by the LS-DYNA simulation is 2.77°~3.03°. This disparity may be due to the fact that the rarefaction wave is ignored in the pole-curve method.
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Key words:
- LiF window /
- inclined shock wave /
- pole-curve method /
- wedge-shaped explosive
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图 2 冲击波前后炸药和LiF中的速度矢量
Figure 2. Velocity vector before and after shock in explosives and LiF
图 4 楔形炸药/LiF窗口界面中不同位置波后粒子速度的垂直分量和水平分量
Figure 4. Particle velocity in vertical and horizontal direction after shock in the interface of wedge-shaped explosive and LiF window
图 5 楔形炸药/LiF窗口界面中波后粒子速度示意
Figure 5. Particle velocity in the interface of wedge-shaped explosive and LiF window
表 1 JO-9159和JBO-9021炸药爆轰产物状态方程参数
Table 1. EOS parameters of detonation products of JO-9159 and JBO-9021
炸药 A/GPa B/GPa R1 R2 ω E/(GJ·m-3) V0 JO-9159 880.7 18.36 4.62 1.32 0.38 10.40 0.543 JBO-9021 613.0 18.58 1.09 4.32 1.79 0.21 0.1 
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表 2 JBO-9021的点火增长模型参数
Table 2. Parameters of ignition and growth model for JBO-9021
I/s-1 ac b x G1/(Pa-1·s-1) c 4×1012 0.02 0.667 7.0 0.09 0.667 d y e f G2/(Pa-3·s-1) z 0.11 1 0.333 1.0 3×10-26 3.0
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表 3 JBO-9021未反应炸药状态方程参数
Table 3. EOS parameters of unreacted JBO-9021
A/TPa B/GPa R1 R2 ω E0/(GJ·m-3) V0 77.810 -5.031 11.3 1.13 0.884 24.9 0.543
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表 4 钨合金和LiF的状态方程参数
Table 4. EOS parameters of tungsten alloy and LiF
材料 ρ0/(g·cm-3) C/(km·s-1) E0/(GJ·m-3) S1 S2 S3 γ0 a 钨合金 19.20 4.028 0 1.243 0 0 1.54 0 LiF 2.64 5.148 0 1.358 0 0 1.69 0
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表 5 LiF窗口中不同位置的波后流场信息
Table 5. Flow field at different positions after shock wave in LiF window
探针 uv/(km·s-1) uh/(km·s-1) u/(km·s-1) θ′/(°) 1 2.03 0.107 2.033 3.03 2 2.05 0.103 2.053 2.88 3 2.07 0.100 2.072 2.77 4 2.05 0.102 2.053 2.85
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