One-Dimensional Magneto-Hydrodynamics Calculation and Analysis of Implosion Magnetic Flux Compression Process
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摘要: 在一维内爆磁流体力学编码MC11D的基础上，引入了解析形式的状态方程组。利用改造后的编码对样品为铜材料的柱面内爆磁通量压缩实验进行了模拟，得到了样品管内壁的速度历史，材料的p-V关系曲线以及温升曲线。与原编码利用列表式状态方程数据库计算的结果比较，由两种状态方程模拟得到的速度曲线符合程度很好，所得p-V曲线的最大相对偏差为6.6%，温升曲线基本吻合，且模拟的速度曲线与实验结果符合较好。通过对MC11D编码的改造，拓展了其应用范围，使其可对未包含于现有列表式状态方程数据库中的材料进行模拟，为实验结果分析及数据处理提供了一种方法。Abstract: In this work we modified the 1D implosion and the MHD code—MC11D by introducing the equation of state (EOS) in analytical form into the program.Then, using the modified code, we simulated a cylindrical implosion magnetic flux compression experiment on the copper sample and obtained the velocity histories of the sample tube's inner wall, the p-V lines of the copper sample, and the temperature histories of the material.The results from our simulation are closely consistent with those simulated with the original code using the tabular EOS database.In addition, the velocity curves obtained from the simulation are also found to accord with the experimental result.Our work expands the application scope of the MC11D code.Using the modified code, the materials which are not included in the tabular EOS database can also be simulated.It will serve as a useful method for the analysis of experimental results and data processing.
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表 1 常见金属的相关状态方程参数
Table 1. Equation of state parameters for common metal
Material Q/(GPa) Q′ l M/(g/mol) β0/(10-7J·g-1·K-2) ρ0/(g/cm3) ρ0K/(g/cm3) Al 37.890 44 8.418 61 6 26.982 415.30 2.71 2.746 Fe 39.964 32 11.280 27 8 55.845 193.90 7.85 7.960 Cu 59.716 60 9.888 54 9 63.546 174.40 8.93 9.050 W 129.588 00 8.583 59 8 183.840 83.85 19.20 19.310 Pb 14.884 78 11.270 50 30 207.200 104.50 11.34 11.560 
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