水下爆炸气泡脉动周期的简便计算方法

段超伟; 宋浦; 胡宏伟; 冯海云

doi:10.11858/gywlxb.20210782

水下爆炸气泡脉动周期的简便计算方法

doi: 10.11858/gywlxb.20210782

西安近代化学研究所，陕西西安　710065

详细信息

作者简介:
段超伟（1996－），男，硕士研究生，主要从事水下爆炸技术研究. E-mail：1085692807@qq.com

通讯作者:
宋　浦（1973－），男，博士，研究员，主要从事战斗部毁伤技术研究. E-mail：songpu73@163.com

中图分类号: O383.1; TJ610.1
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出版历程
- 收稿日期: 2021-04-22
- 修回日期: 2021-05-13

Simple Method for the Calculation of Bubble Pulsation Period in Underwater Explosion

Xi’an Modern Chemistry Research Institute, Xi’an 710065, Shaanxi, China

摘要

摘要: 将爆轰产物状态方程与气泡运动方程相结合，提出了一种水下爆炸气泡脉动周期的数值计算方法，能够快速计算不同炸药水下爆炸的气泡脉动周期。结果表明：采用JWL状态方程与采用$\gamma$律状态方程的气泡周期计算方法相比，前者计算TNT炸药水下爆炸气泡脉动周期的误差更小，计算误差小于3%；通过对比RS211炸药水下爆炸实验结果，进一步验证了该数值计算方法对含铝炸药水下爆炸气泡脉动周期的计算同样具有良好的适用性。
- 水下爆炸 /
- 气泡脉动周期 /
- 状态方程 /
- 数值计算方法
Abstract: Based on the detonation product state equation and the Rayleigh-Plesset equation, this paper proposed a numerical method for calculating the bubble pulsation period of underwater explosions. We can quickly calculate the bubble pulsation period of underwater explosions of different explosives. Compared with the bubble period calculation method using the JWL equation of state and the γ equation of state, the former has a smaller error (less than 3%) for TNT explosives. Additionally, by comparing the results of the RS211 explosive underwater explosion experiment, it is further verified that the numerical calculation method has good applicability for aluminum-containing explosives.
- underwater explosion /
- bubble pulse period /
- equation of state /
- numerical calculation method

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图 1 气泡示意图

Figure 1. Bubble sketch

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图 2 气泡半径变化曲线

Figure 2. Bubble radius curves

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图 3 两种状态方程的计算值与实测值的相对偏差曲线

Figure 3. Error curves between calculated values of the two state equations and the measured results

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表 1 TNT炸药的JWL状态方程参数^[14]

Table 1. JWL equation of state parameters of TNT explosive^[14]

$A/$GPa	$B/$GPa	$ {R}_{1} $	$ {R}_{2} $	$\omega$	${\,\rho }{_{0}} /$(kg·m⁻³)
371.2	3.231	4.485	0.79	0.30	1580

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表 2 不同药量TNT气泡周期实测值与计算值结果对比

Table 2. Comparison of the measured and calculated results of bubble pulsation period of TNT explosive

m/g	${T}{_{\rm s} }$/ms	${T}{_{\rm b1}}$/ms	$\delta{_1}$/%	${T}{_{\rm b2}}$/ms	$\delta{_2}$/%
200	145.19	154.17	6.18	149.94	3.27
300	166.13	175.62	5.71	170.78	2.92
400	182.85	192.50	5.27	188.17	2.91
600	210.00	220.79	5.14	215.69	2.71
800	231.97	243.31	4.88	237.60	2.43
1000	250.11	261.33	4.48	255.10	1.99

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表 3 RS211炸药的JWL状态方程参数^[16]

Table 3. JWL equation of state parameters of RS211 explosive^[16]

$A/$GPa	$B/$GPa	$ {R}_{1} $	$ {R}_{2} $	$ \omega $	${\,\rho }{_{0} }/$(kg·m⁻³)
758	8.51	4.9	1.1	0.2	1630

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表 4 RS211炸药水下爆炸气泡脉动周期计算和实验结果对比

Table 4. Comparison of calculated and experimental results of bubble pulsation period of RS211 explosive

h/m	m/g	${T}{_{\rm s}}$/ms	${T}{_{\rm b2} }$/ms	$\delta$/%
5	1076	258.5	262.4	1.51
5	1067	257.8	261.7	1.51
5	5000	400.0	409.8	2.45
12	3000	273.3	269.1	−1.54

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