Hydrodynamic dispersion in shallow mirochannels: the effect of cross-sectional shape
Hydrodynamic dispersion in shallow mirochannels: the effect of cross-sectional shape
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DOI：
10.1021/ac0508651
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发表时间：
2006-01-15
影响因子：
7.4
通讯作者：
Stone, HA
中科院分区：
文献类型：
--
作者：
Ajdari, A;Bontoux, N;Stone, HA
我们强调的事实是，在浅微通道中的流体动力学分散在大多数情况下是由横截面的宽度，而不是由更薄的通道的高度控制。我们确定了相关的时间尺度，分离所涉及的各种制度。使用润滑近似，我们提供了简单的公式，允许在“长时间”泰勒政权，这是有效的扩散的最浅的横截面形状的分散的定量评估。由于其相关的微流体系统，我们还提供了短时间的“弹道制度”（特定的初始条件）的结果。抛物线和准矩形形状的特殊情况下，被认为是由于他们经常使用的微系统。
We highlight the fact that hydrodynamic dispersion in shallow microchannels is in most cases controlled by the width of the cross section rather than by the much thinner height of the channel. We identify the relevant time scales that separate the various regimes involved. Using the lubrication approximation, we provide simple formulas that permit a quantitative evaluation of dispersion for most shallow cross-sectional shapes in the "long-time" Taylor regime, which is effectively diffusive. Because of its relevance for microfluidic systems, we also provide results for the short-time "ballistic regime" (for specific initial conditions). The special cases of parabolic and quasi-rectangular shapes are considered due to their frequent use in microsystems.