Capillary Flow in Open Microgrooves: Bifurcations and Networks

Capillary Flow in Open Microgrooves: Bifurcations and Networks
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DOI:
10.1021/acs.langmuir.9b01456
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发表时间:
2019-08-13
期刊:
影响因子:
3.9
通讯作者:
Berthier, Erwin
Berthier, Erwin
中科院分区:
化学2区
文献类型:
--
作者:
Lee, Jing J.;Berthier, Jean;Berthier, Erwin

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开放毛细管流越来越多地应用于生物技术、生物学、热学和空间科学。到目前为止,毛细流动力学主要针对受限通道进行研究。然而,开放式微流体理论在过去几年中取得了相当大的进展,并且导出了行程距离的表达式,概括了 Lucas、Washburn 和 Rideal 的著名理论。这种概括是基于平均摩擦长度和广义卡西角的使用。在这项工作中,我们相继研究了均匀横截面开放圆形凹槽中的自发毛细管流动(为此提出了确定摩擦长度的方法)、分叉处的流动行为,并最终在简单回路网络中流动。我们表明,分叉后,需要调整 Lucas-Washburn-Rideal 定律,并且行进距离与时间之间的关系比时间依赖性的平方根更复杂。
Open capillary flows are increasingly used in biotechnology, biology, thermics, and space science. So far, the dynamics of capillary flows has been studied mostly for confined channels. However, the theory of open microfluidics has considerably progressed during the last years, and an expression for the travel distance has been derived, generalizing the well-known theory of Lucas, Washburn, and Rideal. This generalization is based on the use of the average friction length and generalized Cassie angle. In this work, we successively study the spontaneous capillary flow in uniform cross section open rounded Ugrooves-for which methods to determine the friction lengths are proposed-the flow behavior at a bifurcation, and finally flow in a simple-loop network. We show that after a bifurcation, the Lucas-Washburn-Rideal law needs to be adapted and the relation between the travel distance and time is more complicated than the square root of time dependency.