JWL状态方程及其等效多方状态方程在内爆炸计算中的应用分析

Application analysis of JWL EOS and the equivalent polytropic EOS in internal explosion calculation

  • 摘要:
      目的  为研究JWL状态方程及其等效多方气体状态方程对内爆炸参数的影响规律,
      方法  利用自主开发的程序开展舱室内炸药爆炸过程数值计算。首先,探讨JWL状态方程中ω参数及环境气体绝热指数的不同取值对内爆炸参数计算的影响规律;然后,基于JWL状态方程提出确定其等效多方气体状态方程中参数的方法,并通过算例对其可行性及可靠性进行验证。
      结果  研究结果表明,ω参数及环境气体绝热指数的增大均可使最终的混合物绝热指数及冲击波峰值增大,并使冲击波到达舱室壁面的初始时间提前;ω参数的增大加快了爆炸初期爆轰产物的膨胀速率,最终使准静态压力峰值增大;而环境气体绝热指数的增大减缓了爆炸初期爆轰产物的膨胀速率,对最终准静态压力峰值影响很小。
      结论  该等效方程具有一定的可靠性,研究结果可为抗爆结构设计及毁伤评估提供一定的参考和指导。

     

    Abstract:
      Objectives  In order to study the influence rule of JWL Equation of State(JWL-EOS)and its equivalent polytropic EOS on internal explosion parameters.
      Methods  An independently developed procedure was used to carry out the numerical calculation of explosive blasting process in the cabin. Firstly, the influence rule of different values of parameter ω in the JWL-EOS and the specific heat ratio of ambient gas on the calculated explosion parameters was discussed. Secondly, based on the JWL-EOS, the way to determine parameters in the equivalent polytropic EOS of gas was proposed, and the feasibility and reliability of this method is verified through the algorithm case.
      Results  The results show that the increase of parameter ω and specific heat ratio of ambient gas can increase the specific heat ratio of the final mixture, the peak values of shock wave and make the initial arrival time of shock wave to the cabin wall ahead of schedule. The increase of parameter ω can accelerate the expansion rate of detonation products at the initial stage of explosion and increase the peak of quasi-static pressure. While, the increase of specific heat ratio of ambient gas slows down the expansion rate of detonation products at the initial stage of explosion and has little effect on the final quasi-static pressure peak.
      Conclusions  It is concluded that the proposed equivalent EOS is of some reliability and the study result in this paper can provide certain reference and basis for the design of anti-explosion structure and damage assessment.

     

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