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STATIC ELECTROMAGNETIC SHAPING OF LIQUID METAL DROPS IN TRANSIENT MAGNETIC FIELDS

机译:瞬态磁场中液态金属液滴的静态电磁成形

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摘要

The present study deals with the shaping of liquid metal drops using time-dependent magnetic fields. We consider perfectly non-wetting drops placed on a horizontal electrically insulating plate. The magnetic field is generated by an inductor that carries an electrical current / with a time dependence according to I ∝ (t{sub}0 + t){sup}(1/2). In this case, the interaction between the magnetic field and the induced eddy currents within the liquid metal results in static Lorentz forces. These Lorentz forces can be used to squeeze the drop counteracting both gravity and surface tension. We derive a nonlinear ordinary differential equation for the drop contour. This equation is integrated numerically using a standard shooting method. We apply our method to various values of drop volume and magnitude of the Lorentz forces. The results prove that such magnetic fields allow for strong static squeezing of liquid metal drops.
机译:本研究利用时间相关的磁场处理液态金属滴的成形。我们考虑了放置在水平电绝缘板上的完全非润湿的液滴。磁场是由一个电感器产生的,该电感器根据I ∝(t {sub} 0 + t){sup}(1/2)随​​时间变化具有电流/。在这种情况下,磁场与液态金属内的感应涡流之间的相互作用会导致静态的洛伦兹力。这些洛伦兹力可用来挤压液滴,从而抵消重力和表面张力。我们导出了液滴轮廓的非线性常微分方程。使用标准的射击方法对该方程进行数值积分。我们将我们的方法应用于洛伦兹力下降量和大小的各种值。结果证明,这样的磁场允许液态金属滴的强烈的静态挤压。

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