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Numerical study on solidification characteristics under pulsed magnetic field

机译：脉冲磁场下凝固特性的数值研究

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Highlights•Solidification characteristics under the PMF is studied by a numerical procedure.•Both the Lorentz force and Joule heat exhibit a phase difference.•The melt velocity is accompanied by violent fluctuations.•The solidification is more synchronous than that without a magnetic field.•The end time of the solidification is longer than that without a magnetic field.AbstractThe solidification characteristics under a pulsed magnetic field (PMF) are numerically investigated using a transient two-dimensional axisymmetric mathematical model that couples electromagnetic fields with fluid flow and solidification. The model is firstly validated and then applied to the solidification of Al-5 wt%Cu alloy under a typical PMF. Evolutions of the melt flow, temperature field and mushy zone as well as the solidification rate are studied. The results are compared with those obtained without a magnetic field and with a harmonic magnetic field (HMF) having the same peak current and a normal frequency of 50 Hz. It was shown that both the Lorentz force and Joule heat exhibit a phase difference for different locations in the melt, and their peaks are much greater than those induced by the HMF. The melt velocity is accompanied by a violent fluctuation whose amplitude is greater than that obtained with the HMF. The heat extraction of the melt is dominated by the forced convection during the liquid stage and early stage of solidification; thus, the mushy zone develops quickly. Nevertheless, the end time of solidification is a little longer than that without a magnetic field due to the presence of the Joule heat.
机译： 突出显示 • 通过数值方法研究PMF下的固化特性。 < ce：list-item id =“ o0010”> • 洛伦兹力和焦耳热都表现出相位差。 • 融化速度伴随着剧烈的波动。 • 凝固比没有磁场的凝固更同步。 • 广告的结束时间凝固比没有磁场的凝固要长。 摘要 使用耦合电磁场的瞬态二维轴对称数学模型，对脉冲磁场（PMF）下的凝固特性进行了数值研究流体流动和凝固的领域。首先对模型进行了验证，然后将其应用于典型PMF下的Al-5 wt％Cu合金的凝固。研究了熔体流动，温度场和糊状区的演变以及凝固速率。将结果与没有磁场和具有相同峰值电流且正常频率为50 Hz的谐波磁场（HMF）的结果进行比较。结果表明，洛伦兹力和焦耳热在熔体中的不同位置都显示出相位差，并且其峰值远大于由HMF引起的峰值。熔体速度伴随着剧烈的波动，其幅度大于使用HMF所获得的幅度。熔体的热量提取在凝固的液态阶段和凝固初期主要由强制对流控制。因此，糊状区迅速发展。尽管如此，由于焦耳热的存在，凝固的结束时间比没有磁场的结束时间要长一些。

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