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Electrohydrodynamic natural convection enhancement for isothermal, horizontal axisymmetric bodies immersed in quiescent liquid metals

机译:浸入静态液态金属中的等温水平轴对称物体的电流体自然对流增强

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摘要

In this article we have introduced a new approach to describe the electro-hydrodynamic (EHD) natural convection enhancement for isothermal, horizontal axisymmetric bodies, which are immersed in a liquid metal under the effects of uniform electric fields. The approach is based on a class of power series expansions introduced by Saville and Churchill for free convection in laminar boundary layers. These power series expansions have been extended to analyze the average electric Nusselt number linked to low Prandtl number fluids when the leading, and the next-to-leading, order terms are included in the approximate calculation of the temperature and the stream velocity profiles. The obtained series solutions are universal with respect to body contours. As an example, we applied this approach to calculate the average electric Nusselt numbers for horizontal circular cylinders immersed in the low Prandtl number fluids. The most important outcome of this work is that when external electric fields are applied to liquid metals the average Nusselt number may be enhanced by up to 55% of the corresponding value inherent to free convection without external electric fields.
机译:在本文中,我们介绍了一种新方法来描述等温,水平轴对称物体的电-流体动力学(EHD)自然对流增强,这些物体在均匀电场的作用下浸入液态金属中。该方法基于Saville和Churchill为层流边界层中的自由对流引入的幂级数展开类。这些幂级数展开已扩展为当温度和流速度分布的近似计算中包括超前和次超前阶的项时,分析与低普朗特数流体相关的平均电努塞尔数。所获得的级数解在身体轮廓方面是通用的。例如,我们采用这种方法来计算浸入低Prandtl数流体中的水平圆柱体的平均电Nusselt数。这项工作最重要的结果是,当将外部电场施加到液态金属时,没有外部电场的情况下,平均对流努塞尔数最多可以增加自由对流固有固有值的55%。

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