Cross-stream diffusion under pressure-driven flow in microchannels with arbitrary aspect ratios: a phase diagram study using a three-dimensional analytical model.
Cross-stream diffusion under pressure-driven flow in microchannels with arbitrary aspect ratios: a phase diagram study using a three-dimensional analytical model.
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DOI：
10.1007/s10404-011-0870-x
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发表时间：
2012-01-01
影响因子：
2.8
通讯作者：
Pant, Kapil
中科院分区：
文献类型：
--
作者：
Song, Hongjun;Wang, Yi;Pant, Kapil
本文提出了一个三维解析模型来研究压力驱动下任意长宽比矩形微通道中的横流扩散输运。利用二重积分变换方法和相应的特征系统计算，得到了三维对流扩散方程的傅里叶级数解。给出了量纲分析得到的相图，以深入了解各种输运状态下的特性，并检验了模型的有效性。在浓度分布、扩散标度律和混合效率方面，分析模型与实验模型和数值模型都得到了验证，具有很好的一致性(相对误差为0.5%)。在较大的参数空间内，与已有的分析模型进行了定量比较，结果表明，该模型适应的输运范围更广，适用性大大增强。
This article presents a three-dimensional analytical model to investigate cross-stream diffusion transport in rectangular microchannels with arbitrary aspect ratios under pressure-driven flow. The Fourier series solution to the three-dimensional convection–diffusion equation is obtained using a double integral transformation method and associated eigensystem calculation. A phase diagram derived from the dimensional analysis is presented to thoroughly interrogate the characteristics in various transport regimes and examine the validity of the model. The analytical model is verified against both experimental and numerical models in terms of the concentration profile, diffusion scaling law, and mixing efficiency with excellent agreement (with <0.5% relative error). Quantitative comparison against other prior analytical models in extensive parameter space is also performed, which demonstrates that the present model accommodates much broader transport regimes with significantly enhanced applicability.
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