A New High Order Virial Equation of State and Its Application in the Chapman-Jouguet Parameters Calculation of Explosives,Propellants, Explosives, Pyrotechnics

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A New High Order Virial Equation of State and Its Application in the Chapman-Jouguet Parameters Calculation of Explosives
Propellants, Explosives, Pyrotechnics ( IF 1.7 ) Pub Date : 2022-06-30 , DOI: 10.1002/prep.202100371
Peng Yue ₁ , xinping Long ₂ , Xiaohua Jiang ₂ , zhiming Zhang ₁

Affiliation

In this paper, in order to solve the deficiency of VLW (Virial-Wu) equation of state (EOS) and VHL (Virial-Han-Long) EOS in describing thermodynamic relationship in high temperature region of gaseous detonation products. Based on the Mayer expansion theory of gas virial coefficients in statistical mechanics, the fourth-order and fifth-order dimensionless virial coefficients for Lennard-Jones (L−J) 6–12 pair potential in a higher temperature range are calculated by using the orthogonal integral method which proposed by Barker. By fitting the theoretical calculation values, a new high order virial EOS: VPL (Virial-Peng-Long) EOS for gaseous detonation products is established. Implanting the VPL EOS with the properly introduced EOS of condensed carbon and condensed metal products into the detonation thermodynamic program, the Chapman-Jouguet (CJ) detonation parameters including detonation velocity, detonation CJ pressure, and detonation temperature of some typical CHNO high explosives and some metal-containing primary explosives are calculated and obtained. By comparing the calculated values with the experimental values, as well as the calculation values obtained by VLW EOS, VHL EOS, and EXPLO5 (using BKWG−S EOS) software, the accuracy and applicability of VPL EOS in CJ detonation parameters calaulation are analyzed and evaluated.

中文翻译：

一类新的高阶维里状态方程及其在炸药Chapman-Jouguet参数计算中的应用

本文旨在解决VLW(Virial-Wu)状态方程(EOS)和VHL(Virial-Han-Long)EOS在描述气态爆轰产物高温区热力学关系方面的不足。基于统计力学中气体维里系数的 Mayer 展开理论，利用正交方程计算了更高温度范围内 Lennard-Jones (L−J) 6–12 对势的四阶和五阶无量纲维里系数Barker提出的积分法。通过拟合理论计算值，建立了一个新的高阶维里方程：VPL (Virial-Peng-Long) 气态爆轰产物方程。将 VPL EOS 与正确引入的凝聚碳和凝聚金属产物的 EOS 植入爆轰热力学程序中，计算得到了部分典型CHNO烈性炸药和部分含金属起爆药的Chapman-Jouguet（CJ）爆轰参数，包括爆速、爆轰CJ压力和爆轰温度。通过比较计算值与实验值，以及VLW EOS、VHL EOS和EXPLO5（使用BKWG−S EOS）软件得到的计算值，分析了VPL EOS在CJ爆轰参数计算中的准确性和适用性，评估。

更新日期：2022-06-30

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