Research on the Shockless Compression ofthe Solid Liner Implosion
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摘要: Z箍缩上的套筒准等熵压缩技术可以用来研究材料的高压状态方程。通过MDSC磁流体力学程序，以铝为负载材料，对PTS shot37负载电流进行非冲击压缩负载设计。结果显示，在原始电流下，没有合适的铝套筒尺寸可以实现非冲击压缩; 对原始电流进行波形调节, 将电流上升时间调为202和303ns后，获得了满足非冲击压缩条件的套筒尺寸范围。当电流上升时间为303ns时，半径为2.5mm，厚度为0.6mm的套筒尺寸在电流最大时刻，保留固相的厚度为0.12mm，此时固相最大压力为63GPa，最大内爆速度为15km/s。Abstract: The quasi-isentropic compression technique of the liner in the Z-pinch can be used to study high pressure state equations of materials.In this research, we designed the quasi-isentropic compression load for PTS shot37 load currents through the MDSC magnetohydrodynamic code, with Al being the load material.The results show that it is impossible to find an appropriate liner for quasi-isentropic compression under the original current pulse, but it is possible under the shaped currents.When the current increasing time is 303ns, the liner with a radius of 2.5mm and a thickness of 0.6mm gets the maximal pressure (63GPa) and implosion speed (15km/s) when the current reaches its maximum, while the remaining solid liner is 0.12mm thick.
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Key words:
- Z-pinch /
- solid liner /
- shockless compression /
- shock wave /
- magnetic diffusion
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图 1 冲击波转变位置示意图
Figure 1. Time versus Lagrangian coordinate x forwave propagating through the initial state
图 2 3种上升时间的电流曲线，τr=101ns为原始负载电流，τr=202和303ns为整形后的负载电流波形
Figure 2. Three representative load current pulses.The initial load current is τr=101ns, whilethe shaped pulses are τr=202 and 303ns
图 3 套筒内层速度和磁场强度随时间的变化
Figure 3. Velcocity and magnetic field intensityof liner inner surface versus time
图 6 套筒内层速度和磁场强度随时间的变化(d=0.2mm, R=2.0mm)
Figure 6. Velcocity and magnetic field intensityof liner inner surface versus timewith d=0.2mm, R=2.0mm
图 10 套筒表面的加载电流和磁压力随时间变化的历史
Figure 10. Actual load current and actualmagnetic pressures versus time
图 11 t=300ns时刻套筒的压力分布图和温度分布图
Figure 11. Radial pressure profiles and radial temperature profiles at 300ns
图 12 铝的熔化线及其与t=300ns时刻套筒剖面的压力-温度关系对比
Figure 12. Comparison between the theoretical melting line[17] of Al and the liners radial p-T relation at t=300ns
图 13 t=303ns时刻套筒的密度、压力、磁场强度剖面以及此刻的相图
Figure 13. Liner radial density, pressure and magnetic pressure profiles and the phase diagram at t=303ns
图 14 t=326ns时刻套筒的密度、压力、磁场强度剖面以及此刻的相图
Figure 14. Liner radial density, pressure and magnetic pressure profiles and the phase diagram at t=326ns
表 1 原始负载电流下的计算结果
Table 1. Calculation results with initial load current
No. d/(mm) R/(mm) τr/(ns) tdiff/(ns) tD/(ns) 1 0.60 3.0 101 189 100 2 0.60 2.5 101 169 76 3 0.50 2.5 101 95 87 4 0.50 2.8 101 96 89 5 0.40 3.0 101 119 95 6 0.40 2.7 101 115 83 7 0.40 2.5 101 106 79 8 0.35 2.5 101 93 — 9 0.35 2.7 101 97 — 10 0.33 3.3 101 99 — 11 0.30 2.0 101 80 — 12 0.30 2.5 101 86 — 13 0.30 3.0 101 92 — 14 0.20 2.8 101 96 — 15 0.20 2.0 101 54 — 
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表 2 电流整形之后的计算结果
Table 2. Calculation results with shaped load current
No. d/(mm) R/(mm) τr/(ns) tdiff/(ns) tD/(ns) tA/(ns) 1 0.40 2.6 202 175 — — 2 0.40 2.5 202 162 — — 3 0.50 2.5 202 201 — — 4 0.60 2.5 202 245 — 261 5 0.70 2.5 202 264 160 — 6 0.30 3.0 303 179 — — 7 0.35 3.0 303 212 — 341 8 0.45 3.0 303 247 — 370 9 0.48 2.5 303 246 — 319 10 0.50 2.5 303 256 — 320 11 0.52 2.5 303 285 — 322 12 0.54 2.5 303 295 — 323 13 0.56 2.5 303 307 — 324 14 0.58 2.5 303 300 — 325 15 0.60 2.5 303 313 — 326 16 0.90 2.5 303 — — 331 17 0.58 2.8 303 308 — 362 18 0.60 2.6 303 323 — 339 19 0.60 2.7 303 326 — 352 20 0.60 2.8 303 329 — 365 21 0.60 2.9 303 331 — 378 22 0.60 3.0 303 332 — 391 23 0.60 3.1 303 335 — 404 24 0.60 3.6 303 366 — 475
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