Generalized Taylor-Aris dispersion in discrete spatially periodic networks: microfluidic applications.
Generalized Taylor-Aris dispersion in discrete spatially periodic networks: microfluidic applications.
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离散空间周期网络中的广义泰勒-阿里斯色散：微流体应用。
DOI：
10.1103/physreve.65.021103
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
H. Brenner
中科院分区：
文献类型：
--
作者：
K. Dorfman;H. Brenner
提出了一种关于集总参数、在空间周期性、充满溶剂的网络中移动的单个非相互作用布朗溶质颗粒（“大分子”）的对流扩散传输的理论——后者代表了基于芯片的微流体色谱分离装置以及多孔介质的模型。使用图论技术，复合介质在概念上被分解为通道网络（边缘），溶质通过分子扩散和流动溶剂内的“背负式”夹带或作用于溶质分子的外部施加的力场的组合而被传输。不完美混合模型提供了离开通道交叉点（顶点）的溶质颗粒的出口通道的概率选择。空间周期性的、类似于 Taylor-Aris 的“矩量法”方案应用于该输运模型，从而产生离散矩阵方程，用于根据规定的微尺度输运参数和表征构成空间周期装置的基本单位单元的网络几何形状来计算网络尺度粒子速度矢量 U(*) 和色散二元 D(*)。随后的代数方程控制基于顶点的离散单位单元“场”P(0)(无穷大)(i)和B(i) (i=1,2,...,n)，其范式求和产生U(*)和D(*)，构成经典连续宏观传输唯象参数P(0)(无穷大)(r)和B(r)的离散类似物，其中r是在单元内定义的连续位置向量细胞。这些离散计算可以轻松地对复杂网络进行，从而可以对潜在的微流控芯片设计进行参数化研究，特别是与生物分子分离方案相关的设计。将这种离散理论应用于空间周期性蛇形微通道中压力驱动流的色散分析表明，与先前使用经典连续宏观输运理论得出的现有结果一致。
A theory is presented for the lumped parameter, convective-diffusive transport of individual, noninteracting Brownian solute particles ("macromolecules") moving within spatially periodic, solvent-filled networks--the latter representing models of chip-based microfluidic chromatographic separation devices, as well as porous media. Using graph-theoretical techniques, the composite medium is conceptually decomposed into a network of channels (the edges) through which the solute is transported by a combination of molecular diffusion and either "piggyback" entrainment within a flowing solvent or an externally applied force field acting upon the solute molecules. A probabilistic choice of egress channel for a solute particle exiting the intersection (vertex) of the channels is furnished by an imperfect mixing model. A spatially periodic, Taylor-Aris-like "method-of-moments" scheme is applied to this transport model, leading to discrete matrix equations for computing the network-scale particle velocity vector U(*) and dispersivity dyadic D(*) in terms of the prescribed microscale transport parameters and network geometry characterizing the basic unit cell of which the spatially periodic device is comprised. The ensuing algebraic equations governing the vertex-based, discrete unit-cell "fields" P(0)(infinity)(i) and B(i) (i=1,2,...,n), whose paradigmatic summations yield U(*) and D(*), constitute discrete analogs of classical continuous macrotransport phenomenological parameters, P(0)(infinity)(r) and B(r), with r a continuous position vector defined within the unit cell. The ease with which these discrete calculations can be performed for complex networks renders feasible parametric studies of potential microfluidic chip designs, particularly those pertinent to biomolecular separation schemes. Application of this discrete theory to the dispersion analysis of pressure-driven flow in spatially periodic serpentine microchannels is shown to accord with existing results previously derived using classical continuous macrotransport theory.
DOI：
10.1073/pnas.96.24.13762
发表时间：
1999-11-23
影响因子：
11.1
作者：
Chou, CF;Bakajin, O;Austin, RH
通讯作者：
Austin, RH
影响因子：
56.9
作者：
Han, J;Craighead, HG
通讯作者：
Craighead, HG