Microfluidic circuit analysis II: implications of ion conservation for microchannels connected in series.
Microfluidic circuit analysis II: implications of ion conservation for microchannels connected in series.
复制标题
微流控电路分析 II：离子守恒对串联微通道的影响。
DOI：
10.1016/j.jcis.2011.07.078
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发表时间：
2012
影响因子：
9.9
通讯作者：
D. Harvie
中科院分区：
文献类型：
--
作者：
C. J. C. Biscombe;M. Davidson;D. Harvie
提出了微通道网络电动流动分析的数学框架。该模型是基于网络连接处的体积和总电荷守恒，但与早期的理论相比，该模型还包含了离子电荷守恒。该模型适用于混合的压力驱动/电渗流的二元电解质通过均匀的微通道，以及一个4：1：4收缩-膨胀串联网络。在特定的体积流率和离子电流的条件下，可能出现非线性稳态现象：当净共离子通量的方向与净体积流的方向相反时，可以获得两种不同的完全发展的稳态流解。模型预测与二维计算流体动力学（CFD）模拟进行比较。对于两个稳态是可实现的系统，最终的稳定行为部分取决于系统的初始状态。
A mathematical framework for analysing electrokinetic flow in microchannel networks is outlined. The model is based on conservation of volume and total charge at network junctions, but in contrast to earlier theories also incorporates conservation of ion charge there. The model is applied to mixed pressure-driven/electro-osmotic flows of binary electrolytes through homogeneous microchannels as well as a 4:1:4 contraction–expansion series network. Under conditions of specified volumetric flow rate and ion currents, non-linear steady-state phenomena may arise: when the direction of the net co-ion flux is opposite to the direction of the net volumetric flow, two different fully developed, steady-state flow solutions may be obtained. Model predictions are compared with two-dimensional computational fluid dynamics (CFD) simulations. For systems where two steady states are realisable, the ultimate steady behaviour is shown to depend in part upon the initial state of the system.