Equilibrium Theory of Bidensity Particle-Laden Flows on an Incline
Equilibrium Theory of Bidensity Particle-Laden Flows on an Incline
复制标题
斜坡上双密度颗粒流的平衡理论
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
A. Bertozzi
中科院分区：
文献类型：
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作者：
Sungyon Lee;Jeffrey Wong;A. Bertozzi
粘性油中不均匀悬浮液的行为与溢油和其他与石油有关的灾害有关，这些灾害可能导致沙粒和石油的不必要混合。这保证了粘性流体薄膜中固体颗粒动力学的基础研究。具体而言，剪切浓缩悬浮液在粘性流体中受到称为剪切诱导迁移的扩散机制，其由“漂移扩散”和“自身或示踪剂扩散”组成。漂移扩散导致颗粒从高浓度移动到低浓度，而示踪剂扩散决定了相同尺寸的颗粒之间的混合。后一种机制在多分散浆料中变得重要。在这一章中，我们将剪切引起的迁移和沉降的影响，开发一个模型的重力驱动的薄膜的双密度悬浮液。我们使用这个数学模型来验证最近的实验结果。
The behaviour of inhomogeneous suspensions in a viscous oil is relevant in the context of oil spill and other oil-related disasters which may lead to the unwanted mixture of sand grains and oil. This warrants the fundamental study of the dynamics of solid particles in a thin film of viscous fluid. Specifically, sheared concentrated suspensions in a viscous fluid are subject to a diffusive mechanism called shear-induced migration that consists of “drift diffusion” and “self or tracer diffusion”. Drift diffusion causes particles to move from high to low concentrations, while tracer diffusion dictates mixing between particles of the same size. The latter mechanism becomes important in polydisperse slurries. In this chapter, we incorporate the effects of shear-induced migration and sedimentation to develop a model for the gravity-driven thin film of bidensity suspensions. We use this mathematical model to validate recent experimental results.