Determination of JWL equation of state based on the detonation product from underwater explosion
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摘要: 为了获得炸药爆轰产物状态方程，对RDX炸药进行了水下爆炸气泡膨胀过程试验，测试了水下爆炸气泡半径和冲击波阵面随时间的变化规律，通过水下爆炸气泡膨胀过程中的能量守恒关系，获得了基于水下爆炸试验的爆轰产物JWL状态方程确定方法，分析了RDX炸药水下爆炸气泡膨胀和冲击波阵面运动过程，测定了RDX炸药爆轰产物JWL状态方程参数，并与圆筒试验获得的参数进行了比较。结果表明，通过水下爆炸法和圆筒试验方法标定的JWL方程参数得到的气泡膨胀过程基本相同，但水下爆炸法得到的气泡半径的计算值和实验值在低压阶段的偏差更小。该方法提供了一种更适用于水下爆炸的炸药爆轰产物状态方程的测定方法。Abstract: The equation of state for the detonation products of explosives is one of the foundations in explosion physics. JWL equation of state has been widely applied to study the properties of various explosives. In order to obtain the equation of state of the detonation products, an underwater explosion method was used to study JWL equation of state for the detonation of RDX. It considered the explosion bubble expansion process based on the conservation of energy including Es0 (initial shock wave energy), Ept (potential energy of water), Ec (kinetic energy of water) and Er (energy loss by bubble expansion), which are related to the underwater explosion bubble radius (R-t) and shock wave front (Rs-t) measured in the underwater explosion experiments as functions of time. Based on the experimental results and using the same method to process the experimental data in cylinder experiment, the time functions of explosion bubble expansion radius and variation of shock wave front position were fitted and the parameters of the JWL equation of state for RDX detonation products were obtained. In order to analyze the accuracy of the parameters of the JWL equation of state obtained by the underwater explosion method, the time history of the underwater explosions bubble pulsating pressure wave was calculated using the bubble dynamics equation. It shows that the calculation results agree well with the bubble expansion radius and bubble pulsation period determined using the underwater explosion experiments in a pool. The calculated bubble radius obtained by the proposed measurement method has a smaller deviation from that obtained by the cylinder experimental value, especially in the low-pressure stage compare with the JWL state parameters obtained from cylinder method. This method provides a testing approach for the equation of state of detonation products with low cost, reduced size limitations and a wide pressure range.
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Key words:
- underwater explosion /
- JWL /
- equation of state /
- bubble expansion /
- shock wave
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图 1 水下爆炸气泡高速膨胀的测试系统示意图
Figure 1. Schematic diagram of explosive bubbles high-speed expansion experimental system
图 2 RDX炸药的水下爆炸气泡膨胀及冲击波测试过程
Figure 2. The initial bubble expansion and shock wave testing process of RDX explosive
图 3 水下爆炸冲击波阵面位置和速度随时间的变化曲线
Figure 3. Curves of shock wave front position and velocity changes with time in underwater explosions
图 4 水下爆炸气泡半径和速度随时间的变化曲线
Figure 4. Curves of underwater explosion bubble radius and velocity change with time
图 5 RDX水下爆炸气泡半径与速度随时间的变化曲线
Figure 5. Curves of RDX explosion bubble radius and expansion velocity changed with time
图 6 不同JWL方程参数下RDX水下爆炸的气泡脉动特性
Figure 6. Bubble pulsation characteristics of RDX underwater explosion in different JWL equation parameters
表 1 RDX炸药水下爆炸气泡半径的拟合参数
Table 1. The bubble radius fitting parameters of RDX explosive in underwater explosion
F1/mm τ1/μs−1 F2/mm τ2/μs−1 F3/mm −9.46 0.1128 46.3 0.008 9.9 
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表 2 RDX炸药水下爆炸冲击波阵面位置的拟合参数
Table 2. The shock wave front position fitting parameters of RDX explosive in underwater explosion
a1/mm b1/μs−1 a2/mm b2/μs−1 8.65 0.259 22.2 0.033
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