论文标题

垂直对流的相互作用与电磁强度流动

Interaction of Vertical Convection with an Electromagnetically Forced Flow

论文作者

Shvydkiy, Evgeniy, Smolyanov, Ivan, Baake, Egbert

论文摘要

在封闭的矩形腔($ 100 \ times60 \ times60 \ times10 $ mm $ $^3 $)中,低丙型tl-number流体($ pr = 0.029 $)的热量和动量转移在一侧加热并在另一侧冷却。电磁力进入液态金属是由行进磁场电感器产生的,并针对浮力。大型涡流模拟是用Grashof Number $ gr $从$ 1.9 \ CDOT 10^5 $到$ 7.6 \ CDOT 10^7 $和电磁强迫参数$ f $从$ 2.6 \ Cdot 10^4 $到$ 2.6 \ cdot10^6 $的。已经对使用Gainsn合金的垂直对流和电磁驱动流动的模拟结果进行了实验验证。对于不同的相互作用参数,获得了三种类型的流模式,$ n = f / gr $:逆时针流,顺时针流和两个涡流的共存。对雷诺数的分析表明,从自然对流到电磁搅拌的过渡区位于$ 0.02 <f/gr <0.07 $的范围内,发现了两种制动模式。对流传热方案之间的过渡点以$ f / gr $ 1的比例发现。等温变形的分析表明,在这种对流系统中,有可能在$ 0.05 <f / gr <f / gr <0.2 $的范围内实现等温线的最小偏差。

Heat and momentum transfer of low-Prandtl-number fluid ($Pr=0.029$) in a closed rectangular cavity ($100\times60\times10$ mm$^3$) heated at one side and cooled at the opposite side are analyzed. The electromagnetic forces into the liquid metal are generated by the travelling magnetic field inductor and directed towards buoyancy forces. Large eddy simulations are performed with the Grashof number $Gr$ from $1.9\cdot 10^5$ to $7.6\cdot 10^7$ and the electromagnetic forcing parameter $F$ from $2.6\cdot 10^4$ to $2.6\cdot10^6$. An experimental validation of the simulation results of vertical convection and electromagnetically driven flow using GaInSn alloy has been performed. Three types of flow patterns are obtained for different interaction parameters $ N = F / Gr $: counterclockwise flow, clockwise flow, and coexistence of two vortices. Analysis of the Reynolds number shows that the transition zone from natural convection to electromagnetic stirring lies in the range $0.02<F/Gr<0.07$ and two braking modes are found. The transition point between the convective heat transfer regimes is found for $ F / Gr $ around 1. The analysis of isotherms deformation showed that in such convective systems it is possible to achieve minimum deviation of the isotherm shape from a straight line in the range of $ 0.05 <F/Gr <0.2 $.

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