Fast equilibration dynamics of viscous particle-laden flow in an inclined channel
Fast equilibration dynamics of viscous particle-laden flow in an inclined channel
复制标题
倾斜通道中粘性颗粒流的快速平衡动力学
DOI：
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发表时间：
2019
影响因子：
3.7
通讯作者：
A. Bertozzi
中科院分区：
文献类型：
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作者：
Jeffrey Wong;Michael R. Lindstrom;A. Bertozzi
负浮力颗粒的粘性悬浮液释放到倾斜的宽阔开放的通道中，当它流动时将在正常方向上分层。我们的模型的沉积和剪切引起的迁移的影响下，这种分层的早期动态。先前的工作集中在平衡后的行为，其中散装悬浮液分离成两个不同的战线（解决）或形成一个单一的，颗粒负载的前面（脊），这取决于是否超过临界阈值的颗粒的初始浓度。从过去的实验中也可以清楚地看出，在临界浓度附近，平衡时间尺度会显著增加。本文模拟了平衡的方法。我们提出了一个理论，在这个平衡时间的戏剧性增长时，混合物的浓度是接近临界值，其中的平衡之间的解决和剪切诱导的再悬浮逆转。
A viscous suspension of negatively buoyant particles released into a wide, open channel on an incline will stratify in the normal direction as it flows. We model the early dynamics of this stratification under the effects of sedimentation and shear-induced migration. Prior work focuses on the behaviour after equilibration where the bulk suspension either separates into two distinct fronts (settled) or forms a single, particle-laden front (ridged), depending on whether the initial concentration of particles exceeds a critical threshold. From past experiments, it is also clear that this equilibration time scale grows considerably near the critical concentration. This paper models the approach to equilibrium. We present a theory of the dramatic growth in this equilibration time when the mixture concentration is near the critical value, where the balance between settling and shear-induced resuspension reverses.