具有滑动液体-金属接触的可行单极发电机
Feasible homopolar dynamo with sliding liquid-metal contacts
摘要:
我们提出了一个可行的单极发电机设计,包括一个平面,多臂螺旋线圈,这是放置在一个快速旋转的金属环和连接到后者的滑动液体金属电接触。使用一个简单的,解析可解的轴对称模型,我们确定这样的设置的最佳设计。在接触阻力较小的情况下,当环的内外半径之比Ri/Ro为0.36,螺旋角为54.7 °时,发电机能工作的最低磁雷诺数Rm为34.6。在两个厚度为3 cm的铜环的设置中,Ri=10 cm且Ro=30 cm,预期磁场的自激在约10 Hz的临界旋转频率处。
英文摘要:
We present a feasible homopolar dynamo design consisting of a flat, multi-arm spiral coil, which is placed above a fast-spinning metal ring and connected to the latter by sliding liquid-metal electrical contacts. Using a simple, analytically solvable axisymmetric model, we determine the optimal design of such a setup. For small contact resistance, the lowest magnetic Reynolds number, Rm~34.6, at which the dynamo can work, is attained at the optimal ratio of the outer and inner radii of the rings Ri/Ro~0.36 and the spiral pitch angle 54.7 degrees. In a setup of two copper rings with the thickness of 3 cm, Ri=10 cm and Ro=30 cm, self-excitation of the magnetic field is expected at a critical rotation frequency around 10 Hz.
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