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Study of the Variation of the β Factor and the Radius Through the Hollow Cathode Z-Pinch by Using Snowplow Model Simulation
Journal of Fusion Energy ( IF 1.1 ) Pub Date : 2020-05-20 , DOI: 10.1007/s10894-020-00242-9
M. E. Abdel-kader

The Hollow cathode z-pinch is designed and operated to investigate the ejected plasma through the hollow cathode. The hollow cathode is simulated using the snow plow model. The model uses three phases: the radial inward phase, the reflected shock phase and expansion phase. The differential equation of plasma motion and its electric circuit equation are derived and solved numerically using the code. The snow plow model suggested that the plasma radius decreases to zero, so this problem was solved adding the effect of the internal kinetic pressure and the shock wave into the general equation of motion using β factor. The effect of β factor (ratio of the kinetic pressure of plasma to magnetic pressure) is studied on plasma temperature, plasma radii, plasma velocity, pinching time and plasma elongation distance. The simulated results illustrate that the β factor varies from 0 to 0.79. The data illustrate that the elongation velocity of plasma is increased by decreasing the β factor, while the elongation displacement of the plasma is increased by increasing of the ring radii of the hollow cathode. The code illustrates that a multi-pinch of the CS could be appeared at high energy.

中文翻译:

用扫雪机模型仿真研究通过空心阴极 Z 形夹头的 β 因子和半径的变化

空心阴极 z-pinch 设计和操作用于研究通过空心阴极喷射的等离子体。使用雪犁模型模拟空心阴极。该模型使用三个阶段:径向向内阶段、反射冲击阶段和膨胀阶段。利用该代码推导并数值求解了等离子体运动的微分方程及其电路方程。雪犁模型表明等离子体半径减小到零,因此使用β因子将内部动压和冲击波的影响加入到一般运动方程中来解决该问题。研究了β因子(等离子体动压与磁压之比)对等离子体温度、等离子体半径、等离子体速度、收缩时间和等离子体延伸距离的影响。模拟结果表明 β 因子在 0 到 0.79 之间变化。数据表明,等离子体的伸长速度随着β因子的减小而增加,而等离子体的伸长位移随着空心阴极环半径的增加而增加。该代码说明在高能量下可能会出现 CS 的多夹点。
更新日期:2020-05-20
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