Current Coefficient Law in Simulation of Magnetically Driven Solid Liner Experiment
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摘要: 采用不可压缩理论模型，对FP-2装置上开展的磁驱动固体套筒实验进行了模拟分析。模拟结果表明，无论是二维磁流体力学理论模型，还是其他不可压缩理论模型，回流罩结构磁驱动固体套筒的边界磁感应强度公式中都包含一个小于1的套筒电流系数。对不同套筒厚度、不同套筒半径条件下磁驱动固体套筒实验的电流系数进行了模拟，发现电流系数不仅与套筒内半径有关，还与套筒厚度有关；套筒内半径越大，套筒电流系数越小；套筒厚度越大，套筒电流系数越小。准确掌握磁驱动固体套筒电流系数的变化规律，可使磁流体程序从磁驱动固体套筒实验的后验模拟发展为精确预测，使磁流体力学模型真正具备正确设计和指导磁驱动固体套筒相关实验的理论能力。
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关键词:
- 磁驱动固体套筒实验 /
- 二维磁驱动数值模拟程序 /
- 磁流体力学 /
- 电流系数 /
- 回流罩结构
Abstract: The magnetically driven solid liner experiments on the FP-2 device were simulated and analyzed based on the incompressible theoretical model. The simulation results show that the boundary magnetic induction strength formula for the magnetically driven solid liner of the reflux hood structure contains a liner current coefficient of less than 1, regardless of whether it is a two-dimensional magnetohydrodynamic (MHD) theoretical model or other incompressibility theoretical models. The current coefficient law of the magnetically driven solid liner experiment on the FP-2 was studied by simulating the magnetically driven solid liner experiment with different thickness and radii. The current coefficient of magnetically driven solid liner experiment is not only related to the liner’s inner radius, but also to the liner’s thickness. The larger the inner radius of the liner, the smaller the current coefficient, and the larger the thickness of the liner, the smaller the current coefficient. Exploring the current coefficient law in magnetically driven solid liner experiment with reflux hood structure can make the MHD code develop from post-simulation to accurate prediction. And the MHD theoretical model can be employed to design correctly and guide the related experiments of magnetically driven solid liner with a reflux hood structure. -
图 1 回流罩固体套筒实验装置的初始结构剖面
Figure 1. Cross section of magnetically driven solid liner experiment setup with a reflux hood
图 2 磁驱动固体套筒实验测得的电流
Figure 2. Measured currents for magnetically driven solid liner experiments
图 3 不可压缩模型模拟得到的套筒内界面速度
Figure 3. Liner interface velocity simulated by incompressible model
图 4 实验 1～实验4的套筒内界面速度
Figure 4. Interface velocities of the experimental liners for Exp. 1−Exp. 4
表 1 磁驱动固体套筒实验的套筒参数
Table 1. Liner parameters of the magnetically driven solid liner experiments
Exp. No. Liner material Liner’s inner radius/mm Liner’s thickness/mm 1 Al 45 0.6 2 Al 30 0.6 3 Al 45 1.6 4 Al 30 1.9 
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表 2 磁驱动固体套筒实验的电流系数
Table 2. Current coefficients of the magnetically driven solid liner experiments
Exp. No. Liner’s inner radius/mm Liner’s thickness/mm fc 1 45 0.6 0.87 2 30 0.6 0.90 3 45 1.6 0.85 4 30 1.9 0.88
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