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arXiv 1504.04836physics.flu-dyn
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刚性球悬浮液的槽道流动:惯性区中的粒子动力学

Channel flow of rigid sphere suspensions: particle dynamics in the inertial regime

Iman Lashgari, Francesco Picano, Wim Paul Breugem, Luca Brandt

摘要:

我们考虑悬浮液中的中性浮力有限尺寸刚性球形颗粒在通道流和调查之间的关系的颗粒动力学和平均散装行为的混合物的雷诺数$500 \le Re \le 5000$和颗粒体积分数$0\le Φ\le 0.3$,通过完全解决的数值模拟。动量平衡的分析揭示了存在三种不同的制度:层流,湍流和惯性剪切增厚取决于哪个应力项,粘性,雷诺或颗粒应力,是主要负责跨通道的动量传递。我们发现,雷诺数和颗粒应力占主导地位的流量落入Bagnoldian惯性制度和Bagnold数可以预测的散装行为,虽然这是由于两个不同的物理机制。一个湍流的特点是更大的颗粒分散和更均匀的颗粒分布,而颗粒为主的流动是与一个显着的颗粒迁移到通道中心的流动是光滑的层流状和分散low.Interesting,碰撞核显示出类似的值在不同的制度,虽然相对颗粒速度和集群明显随惯性和颗粒浓度。

英文摘要:

We consider suspensions of neutrally-buoyant finite-size rigid spherical particles in channel flow and investigate the relation between the particle dynamics and the mean bulk behavior of the mixture for Reynolds numbers $500 \le Re \le 5000$ and particle volume fraction $0\le Φ\le 0.3$, via fully resolved numerical simulations. Analysis of the momentum balance reveals the existence of three different regimes: laminar, turbulent and inertial shear-thickening depending on which of the stress terms, viscous, Reynolds or particle stress, is the major responsible for the momentum transfer across the channel. We show that both Reynolds and particle stress dominated flows fall into the Bagnoldian inertial regime and that the Bagnold number can predict the bulk behavior although this is due to two distinct physical mechanisms. A turbulent flow is characterized by larger particle dispersion and a more uniform particle distribution, whereas the particulate-dominated flows is associated with a significant particle migration towards the channel center where the flow is smooth laminar-like and dispersion low.Interestingly, the collision kernel shows similar values in the different regimes, although the relative particle velocity and clustering clearly vary with inertia and particle concentration.

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