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Hydrodynamic dispersion due to a variety of flow velocity profiles in a porous-walled microfluidic channel

机译:由于多孔壁微流体通道中各种流速分布的流体动力分散

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A reduced-order model for the advective-dispersive mass transfer due to a variety of flow velocity profiles in a porous-walled microfluidic channel is developed in this study. The fluid flow in the microfluidic channel is described by a generalized class of the Poiseuille equation proposed by Amatore et al. (2009), which includes the bluntness parameter for exhibiting the level of bluntness of the velocity profile. This flow formulation represents all the traditional velocity profiles for the purely pressure-driven (Poiseuille) flow, the combined pressure-driven and electro-osmotic flows, and the purely electro-osmotic flow (EOF) in the microfluidic channel. The resulting reduced-order model delivers the mass transfer coefficients, including the hydrodynamic dispersion and the effective advection coefficients, which are functions of the Peclet number and the bluntness parameter. The results reveal that the hydrodynamic dispersion decreases when the flow varies from the pressure-driven to the electro-osmotic. In other words, the smaller the bluntness parameter the smaller the hydrodynamic dispersion. The diffusive, transient, and advective mass transfer regimes can be identified from the ratio of the hydrodynamic dispersion coefficient in the porous-walled microfluidic channel to the one in the nonporous-walled microfluidic channel. It is found that the mass transfer between the microfluidic channel and the porous medium should be included in determination of the hydrodynamic dispersion coefficient due to a variety of flow velocity profiles in a porous-walled microfluidic channel for the transient and the advective regimes. The results also show that the smaller the bluntness parameter the slower the mass transfer. Furthermore, the mass transfer in a porous-walled microfluidic channel is slower than the mass transfer in a nonporous-walled microfluidic channel. (C) 2019 Elsevier Ltd. All rights reserved.
机译:在本研究中,开发了由于多孔壁微流体通道中各种流速分布而导致的对流扩散质量传递的降阶模型。由Amatore等人提出的Poiseuille方程的广义类描述了微流体通道中的流体流动。 (2009年),其中包括用于显示速度分布图的钝化程度的钝度参数。该流量公式代表了微流体通道中纯压力驱动(泊)流动,组合的压力驱动流和电渗流以及纯电渗透流(EOF)的所有传统速度曲线。所得的降阶模型传递了传质系数,包括流体动力扩散系数和有效对流系数,它们是佩克列数和钝度参数的函数。结果表明,当流量从压力驱动变为电渗透时,流体动力分散性降低。换句话说,钝度参数越小,流体动力分散越小。可以从多孔壁微流体通道中的流体动力扩散系数与非多孔壁微流体通道中的流体动力分散系数之比来确定扩散,瞬态和对流传质方式。已经发现,由于瞬态和对流方式的多孔壁微流体通道中的各种流速分布,因此在确定流体动力扩散系数时应包括微流体通道和多孔介质之间的传质。结果还表明,钝度参数越小,传质越慢。此外,多孔壁微流体通道中的传质比无孔壁微流体通道中的传质慢。 (C)2019 Elsevier Ltd.保留所有权利。

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