-
摘要: 采用van der Waals等效单组分流体模型和Ross硬球微扰理论软球修正模型,计算爆轰气相产物的状态方程;用石墨相、金刚石相、类石墨液相和类金刚石液相4种相态描述凝聚成分,由Gibbs自由能最小原理确定不同状态下的凝聚产物相态。对爆轰产物混合系统采用自由能最小原理,通过化学平衡方程组求解炸药爆轰产物系统的平衡组分。使用该理论计算PETN炸药Chapman-Jouguet(CJ)点的爆轰参数,其值与实验值符合得很好;同时计算了以CJ点为起始点的等熵卸载线,并与传统的Jones-Wilkins-Lee(JWL)状态方程的计算结果进行比较,发现计算的值是单调递减的,而JWL状态方程计算的值却出现了双峰现象。分析认为,传统的JWL状态方程给出的双峰变化,是由其函数形式自身决定的,并不对应实际物理过程。Abstract: The equation of state of detonation gas products is described by Ross's modification of hard-sphere variation theory and the improved one-fluid van der Waals mixture model. The Gibbs free energy of dissociated carbon is calculated for the most probable state, which is determined by distinguishing the following four states of carbon: graphite, diamond, graphitelike and diamondlike. The equilibrium compositions of detonation products are calculated by solving chemical equilibrium equations based on minimizing free energy. The detonation properties at CJ point of PETN explosives are calculated with this theory and the results show satisfactory agreement with the experimental data. We have also compared the adiabatic expansion from the CJ point calculated with the present theory and JWL equation. The adiabatic gamma decreases in the present theory but exhibits double peak in JWL equation. We suggest that double peak in JWL equation is made by the equation form itself and it doesn't correspond with actual physical process.
-
Key words:
- detonation products /
- equation of state /
- chemical equilibrium equations
-
Sun C W, Wei Y Z, Zhou Z K. Application of Detonation [M]. Beijing: Defence Industry Press, 2000: 272. (in Chinese) 孙承纬, 卫玉章, 周之奎. 应用爆轰物理 [M]. 北京: 国防工业出版社, 2000: 272. Chirat R, Pittion-Rossillon G. A New Equation of State for Detonation Products [J]. J Chem Phys, 1981, 74: 4634-4642. Ree F H. A Statistical Mechanical Theory of Chemically Reacting Multiphase Mixtures: Application to the Detonation Properties of PETN [J]. J Chem Phys, 1984, 81: 1251-1263. Ross M. A High-Density Fluid-Perturbation Theory Based on an Inverse 12th-Power Hard-Sphere Reference System [J]. J Chem Phys, 1979, 71: 1567-1571. Zhao Y H, Liu H F, Zhang G M. Equation of State of Detonation Products Based on Statistical Mechanical Theory [J]. Acta Physica Sinica, 2007, 56: 4791-4797. (in Chinese) 赵艳红, 刘海风, 张弓木. 基于统计物理的爆轰产物物态方程研究 [J]. 物理学报, 2007, 56: 4791-479. Liu H F, Chen D Q, Zhang S Z. Equation of State of Detonation Products and the Possible Phase Transition for CHBr3 [J]. Journal of High Pressure Physics, 1996, 10(4): 284-290. (in Chinese) 刘海风, 陈栋泉, 张世泽. 爆轰产物物态方程及CHBr3相变的理论研究 [J]. 高压物理学报, 1996, 10(4): 284-290. Yang X D, Xie W, Wu B J. Theoretical Calculation for the Hugoniot Curves of Liquid Nitrogen [J]. Journal of High Pressure Physics, 1998, 12(1): 1-5. 杨向东, 谢文, 武保剑. 液氮的冲击压缩理论计算 [J]. 高压物理学报, 1998, 12(1): 1-5. Liu F S, Chen X M, Chen P S, et al. Equation of Sate of Liquid CO2 at High Temperatures ang High Densities [J]. Journal of High Pressure Physics, 1998, 12(1): 28-33. (in Chinese) 刘福生, 陈先猛, 陈攀森, 等. 液态CO2高温高密度状态方程研究 [J]. 高压物理学报, 1998, 12(1): 28-33. Yang X D, Hu D, Jing F Q. Studies of EOS for Detonation Products: Liquid Nitrogen, Liquid Helium and Water [J]. Journal of High Pressure Physics, 1999, 13(2): 93-102. 杨向东, 胡栋, 经福谦. 炸药爆轰产物液氮、液氦和水状态方程研究 [J]. 高压物理学报, 1999, 13(2): 93-102. Li D H, Yang B W, Cheng X L, et al. Theoretical Calculated of Shock-Compression Properties for Liquid Water [J]. Journal of Sichuan University(Natural Science Edition), 2005, 42: 108-111. 李德华, 杨缤维, 程新路. 液H2O冲击压缩特性的理论计算 [J]. 四川大学学报(自然科学版), 2005, 42: 108-111. Ree F H. Simple Mixing Rule for Mixtures with Exp-6 Interactions [J]. J Chem Phys, 1983, 78: 409-415. Chen Q F, Cai L C, Jing F Q, et al. Theoretical Calculation of the Hugoniot Curves for Liquid Deuterium and Hydrogen [J]. Acta Physica Sinica, 1999, 48: 485-490. (in Chinese) 陈其峰, 蔡灵仓, 经福谦, 等. 液氢、液氘冲击压缩特性的理论计算 [J]. 物理学报, 1999, 48: 485-490. Fried L E, Howard W M. Explicit Gibbs Free Energy Equation of State Applied to the Carbon Phase Diagram [J]. Phys Rev B, 2000, 61: 8734-8743. Hornig H C, Lee E L, Finger M. Equation of State of Detonation Products [A]//Proceedings of the Fifth Symposium(International)on Detonation [C]. Arlington: Office of Naval Research, 1970: 503-512. Short J M, Adolph H G, Kamlet M J. Simplified Methods for Predicting Explosive Performance Parameters Including Eremenkos Relative Detonation Impulese [A]//Proceedings of the Seventh Symposium(International)on Detonation [C]. Arlington: Office of Naval Research, 1981: 952-957. Mader C L. Numerical Modeling of Detonation [M]. New York: Berkeley, 1979.
点击查看大图
计量
- 文章访问数: 14449
- HTML全文浏览量: 725
- PDF下载量: 1060