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arXiv 1503.04703physics.flu-dyn
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悬浮液流:颗粒是否起到混合器的作用?

Suspension flow: do particles act as mixers?

A. Boschan, M. A. Aguirre, G. Gauthier

摘要:

最近,Roht等人[J. Contam.水145,10-16(2013)]观察到,对于在低雷诺数下的窄平行板通道中的压力驱动流,悬浮的非布朗宏观颗粒的存在降低了被动溶质的分散性。这一结果与颗粒的随机扩散运动引起的流线畸变增加溶质的分散和混合的观点相矛盾。因此,为了估计这种运动对溶质的分散性的影响,并调查报告的减少的起源,我们实验研究了粒子速度的概率密度函数(pdf),和时空相关性,在相同的实验配置。我们观察到,作为平均悬浮速度超过一个临界值,粒子的流向速度的pdf显着的变化从对称分布到一个不对称的强烈倾斜的高速度和最可能的速度接近最大速度的峰值。后者的观察和悬浮液微观结构的分析表明,所观察到的溶质的分散性的降低是由于颗粒迁移到通道的中平面,以及随之而来的速度分布的平坦化。此外,我们估计粒子扩散运动对溶质分散性的贡献比报道的减少小三个数量级,因此可以忽略不计。因此,颗粒如何改变通道中的流速分布对溶质分散的影响比颗粒的扩散随机运动大得多。

英文摘要:

Recently, Roht et al. [J. Contam. Hydrol. 145, 10-16 (2013)] observed that the presence of suspended non-Brownian macroscopic particles decreased the dispersivity of a passive solute, for a pressure-driven flow in a narrow parallel-plates channel at low Reynolds number. This result contradicts the idea that the streamline distortion caused by the random diffusive motion of the particles increases the dispersion and mixing of the solute. Therefore, to estimate the influence of this motion on the dispersivity of the solute, and investigate the origin of the reported decrease, we experimentally studied the probability density functions (pdf) of the particle velocities, and spatio-temporal correlations, in the same experimental configuration. We observed that, as the mean suspension velocity exceeds a critical value, the pdf of the streamwise velocities of the particles markedly changes from a symmetric distribution to an asymmetric one strongly skewed to high velocities and with a peak of most probable velocity close to the maximum velocity. The latter observations and the analysis of suspension microstructure indicate that the observed decrease in the dispersivity of the solute is due to particle migration to the mid-plane of the channel, and consequent flattening of the velocity profile. Moreover, we estimated the contribution of particle diffusive motion to the solute dispersivity to be three orders of magnitude smaller than the reported decrease, and thus negligible. Solute dispersion is then much more affected by how particles modify the flow velocity profile across the channel, than by their diffusive random motion.

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