Progress in Industrial Mathematics at ECMI 2014

Progress in Industrial Mathematics at ECMI 2014
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ECMI 2014 工业数学进展

DOI:
10.1007/978-3-319-23413-7_149
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发表时间:
2016
期刊:
--
影响因子:
--
通讯作者:
Corson L
Corson L
中科院分区:
--
文献类型:
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作者:
Corson L

文献摘要

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在使用外部影响来移动或塑造少量液体的技术驱动的兴趣日益增长,该过程被称为微流体致动。使用电力而不是机械力来实现这种致动是方便的,因为所得到的装置不包含移动部件。在这项工作中,我们考虑一个固着滴的不可压缩的液体与高电导率休息的下基板内的平行板电容器进行一个相对较低的频率AC场。在施加电场的情况下,液滴变形为新的静态形状,其中液滴的顶点朝向上电极上升,以便平衡界面上的麦克斯韦电应力、表面张力和流体静压力。从实验,数值和渐近的方法,我们确定的变形作为初始接触角和液滴宽度,表面张力和施加电压的函数的预测方程。
There is a growing technology-driven interest in using external influences to move or shape small quantities of liquids, a process that is referred to as microfluidic actuation. The use of electrical, rather than mechanical, forces to achieve this actuation is convenient, because the resultant devices contain no moving parts. In this work we consider a sessile drop of an incompressible liquid with a high conductivity resting on the lower substrate inside a parallel-plate capacitor subjected to a relatively low frequency A.C. field. With the application of an electric field the drop deforms into a new static shape where the apex of the drop rises towards the upper electrode in order to balance the Maxwell electric stresses, surface tension and hydrostatic pressure on the interface. From experimental, numerical and asymptotic approaches we determine a predictive equation for the deformation as a function of initial contact angle and drop width, surface tension and applied voltage.