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HEAT/MASS TRANSFER TO A DROP TRANSLATING IN A PERPENDICULAR ELECTRIC FIELD

机译:在垂直电场中传热/传质到液滴的平移

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Enhancement of heat or mass transport in a spherical drop of a dielectric fluid translating in another dielectric fluid in the presence of uniform electric field is investigated. The internal problem or the limit of the majority of the transport resistance being in the dispersed phase is considered. The transient energy conservation equation is solved using a fully implicit finite volume method. In the literature, there is a plenty of studies that had been carried out when the electric field acts in the same plane of translation. In this paper, considering creeping flow regime, numerical computations have been conducted when the electric field acts perpendicular to the plane at which translation acts. As such the flow is no longer a two dimensional flow as a third component velocity comes to picture. At the first glance, thoughts of transport enhancement come to mind on the presence of a third velocity component that might promote mixing and consequently enhance transport effectiveness. Results are expressed in terms of the Nusselt number. Nusselt numbers are plotted in terms of Peclet number, Fourier number and the parameter L which is defined as the ratio of the maximum electric-field-induced surface velocity to translation-induced surface velocity. The code was validated by comparing, results for Peclet numbers of 500 and 1000 to corresponding cases available in literature. Results showed good agreement with previous results. A 3-D grid of 20×40×60 has been considered to cover the computational domain. A grid independence study has been carried out by doubling the whole grid. Results show acceptable results compromising accuracy and code running time. The effect of electric field is expressed in terms of parameter L. For low Peclet numbers(Pe ≤ 250), the application of electric field perpendicular to the plane at which translation acts leads to enhancement of heat/mass transport compared to that in pure translation. Such enhancement is about the same when the electric field and translation act in the same plane. On the other hand, for moderate Peclet numbers (Pe= 250~1000), the transport enhancement is significant when compared to the enhancement obtained by an electric field acts in the same plane of action of translation as well as pure translation. These results can be understood by comparing time scales for diffusion and convection. When Peclet number is low the convection time scale is very large and hence mixing is not that effective in promoting heat / mass transfer. Whereas for moderate Peclet number, when the convection time scale gets smaller, heat/mass transfer is considerably enhanced compared to low Peclet numbers.
机译:研究了在存在均匀电场的情况下,在另一种介电液中平移的介电液的球形液滴中,传热或传质的增强情况。考虑内部问题或在分散相中的大多数输送阻力的极限。瞬态能量守恒方程使用完全隐式有限体积法求解。在文献中,当电场作用于同一平移平面时,已经进行了大量研究。在本文中,考虑到蠕变流态,当电场垂直于平移作用的平面作用时,已经进行了数值计算。这样,随着第三分量速度的出现,该流动不再是二维流动。乍一看,人们想到第三种速度成分的存在会提高运输效率,而第三种速度成分可能会促进混合并因此提高运输效率。结果以努塞尔数表示。用Peclet数,傅立叶数和参数L绘制Nusselt数,参数L定义为最大电场感应表面速度与平移感应表面速度之比。通过将500和1000的Peclet数的结果与文献中可用的相应案例进行比较,对代码进行了验证。结果显示与以前的结果吻合良好。已经考虑将20×40×60的3-D网格覆盖计算域。通过将整个网格增加一倍来进行网格独立性研究。结果显示可接受的结果会影响准确性和代码运行时间。电场的影响用参数L表示。对于低Peclet数(Pe≤250),与纯平移相比,垂直于平移作用平面施加电场可提高热/质量传递。当电场和平移作用在同一平面上时,这种增强大致相同。另一方面,对于中等Peclet数(Pe = 250〜1000),与电场在同一个平移作用平面和纯平移作用平面上获得的增强作用相比,传输增强作用是显着的。通过比较扩散和对流的时间尺度可以理解这些结果。当Peclet数低时,对流时间尺度非常大,因此混合在促进热量/质量传递方面不那么有效。而对于中等的Peclet数,当对流时间尺度变小时,与低Peclet数相比,传热/传质得到显着增强。

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