Structure coefficient in magnetically driven flyer plate experiment
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摘要: 为了确定磁驱动飞片发射实验结构系数的范围、影响因素、结构系数与影响因素的关系，对聚龙一号装置上的磁驱动飞片发射实验进行了数值模拟和分析。数值模拟表明，磁流体力学程序能正确模拟聚龙一号装置上各个磁驱动飞片发射实验；磁驱动双侧飞片发射实验的结构系数为0.7～0.8；磁驱动单侧飞片发射实验的结构系数为0.80～0.85。磁驱动飞片发射实验的结构系数与实验加载电流无关，仅由磁驱动飞片发射实验的负载结构决定。磁驱动飞片发射实验的结构系数取决于阴阳电极极板的初始宽度、阴阳电极之间的初始间隙以及阴阳电极上飞片厚度之和等三个因素。在磁驱动飞片发射实验中，电极初始宽度、阴阳电极之间的初始间隙不变的情况下，结构系数由阴阳电极上飞片厚度之和确定，阴阳电极上飞片厚度之和越大，结构系数越大。Abstract: To determine the range and the influence factor of structure coefficient and, the relation between structure coefficient and influence factor, numerical simulations and analysis of magnetically driven flyer plate experiments on PTS facility are carried out. The numerical simulations show that the magneto-hydrodynamic code can correctly simulate each magnetically driven flyer plate experiment on PTS facility. The structure coefficient of magnetically driven two-sided flyer plate experiment is about 0.7−0.8 and the structure coefficient of one-sided experiment is about 0.80−0.85. The structure coefficient is independent of the measured experimental current, and only determined by the initial structure of experiment load. The structure coefficient is related to the initial widths of anode and cathode, the initial gap between anode and cathode, and the sum of depths of flyer plates on anode and cathode. When the initial widths of anode and cathode and the initial gap between anode and cathode are fixed, the greater sum depths of flyer plates on anode and cathode, the greater the structure coefficient of magnetically driven flyer plate experiment.
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图 2 模拟的磁驱动飞片发射实验的飞片自由面速度
Figure 2. Histories of flyer plate free-surface velocity simulated by MDSC2 code for experiments on PTS
图 3 PTS-121bottom和PTS-122bottom实验的加载电流历史
Figure 3. Histories of loading-current of PTS-121bottom and PTS-122bottom experiments
表 1 聚龙一号装置上磁驱动飞片发射实验的负载参数
Table 1. Load parameters for magnetically driven flyer plate launch experiments on PTS facility
experiment name ${\delta _{{\rm{fa}}}}$/mm ${\delta _{{\rm{wa}}}}$/mm ${\delta _{{\rm{fc}}}}$/mm ${\delta _{{\rm{wc}}}}$/mm ${g_0}$/mm W/mm PTS-061 0.972 − 5 − 2 15 PTS-064 1.041 − 5 − 1.2 12.5 PTS-120top 1.047 − 0.986 − 1.2 9 PTS-120middle 1.067 5 1.299 5 1.2 9 PTS-120top 1.041 − 1.016 − 1.2 9 PTS-121top 1.401 − 1.076 − 1.2 9 PTS-121middle 1.120 5 1.276 5 1.2 9 PTS-121bottom 0.930 − 1.570 − 1.2 9 PTS-122top 1.459 − 1.089 − 1.2 9 PTS-122middle 1.171 5 1.281 5 1.2 9 PTS-122bottom 0.960 − 1.570 − 1.2 9 
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表 2 聚龙一号装置上磁驱动飞片发射实验的结构系数
Table 2. Structure coefficients for magnetically driven flyer plate launch experiments on PTS facility
experiment name ${g_0}$/mm W/mm (${\delta _{{\rm{fa}}}}$+${\delta _{{\rm{fc}}}}$)/mm f PTS-061 2 15 5.972 0.83 PTS-064 1.2 12.5 6.041 0.81 PTS-120top 1.2 9 2.033 0.705 PTS-121bottom 1.2 9 2.50 0.75 PTS-122top 1.2 9 2.548 0.78 PTS-122bottom 1.2 9 2.53 0.75
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