Biomedical Engineering Department, McGill University, Montréal, Quebec, Canada.
Nat Commun. 2011 Sep 6;2:464. doi: 10.1038/ncomms1471.
The concept of fluidic multipoles, in analogy to electrostatics, has long been known as a particular class of solutions of the Navier-Stokes equation in potential flows; however, experimental observations of fluidic multipoles and of their characteristics have not been reported yet. Here we present a two-dimensional microfluidic quadrupole and a theoretical analysis consistent with the experimental observations. The microfluidic quadrupole was formed by simultaneously injecting and aspirating fluids from two pairs of opposing apertures in a narrow gap formed between a microfluidic probe and a substrate. A stagnation point was formed at the centre of the microfluidic quadrupole, and its position could be rapidly adjusted hydrodynamically. Following the injection of a solute through one of the poles, a stationary, tunable, and movable-that is, 'floating'-concentration gradient was formed at the stagnation point. Our results lay the foundation for future combined experimental and theoretical exploration of microfluidic planar multipoles including convective-diffusive phenomena.
在势流中，类比于静电学，流变体多极的概念长期以来一直被认为是纳维-斯托克斯方程的一类特殊解；然而，尚未有关于流变体多极及其特性的实验观察结果。在这里，我们提出了一种二维微流控四极子，并对其进行了与实验观察结果一致的理论分析。微流控四极子是通过在微流控探头和基底之间形成的狭窄间隙中的两对相对的孔同时注入和抽吸流体而形成的。在微流控四极子的中心形成了一个驻点，其位置可以通过流体动力学快速调整。在通过其中一个极点注入溶质后，在驻点处形成了一个固定、可调且可移动的，即“浮动”的浓度梯度。我们的研究结果为未来对包括对流扩散现象在内的微流控平面多极子的实验和理论探索奠定了基础。
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