论文标题
建模通过玻璃珠的包装在流网络中局部和扩展沉积之间的过渡
Modeling the Transition between Localized and Extended Deposition in Flow Networks through Packings of Glass Beads
论文作者
论文摘要
我们使用理论模型来探讨流体动力学，尤其是通道中的压力梯度和壁剪应力如何影响微流体网络中流动的颗粒的沉积。关于填充珠的压力驱动系统中胶体颗粒转运的实验表明，在较低的压降下，颗粒本地沉积在入口处，而在较高的压降下，它们沿流动方向均匀地沉积。我们开发了一个数学模型，并使用基于代理的模拟来捕获实验中观察到的这些基本定性特征。我们在根据压力和剪切应力阈值方面定义的二维相图上探讨了沉积曲线，并表明存在两个不同的阶段。我们通过对简单的一维聚集模型进行类比来解释这种明显的相变，在该模型中通过分析计算相变。
We use a theoretical model to explore how fluid dynamics, in particular, the pressure gradient and wall shear stress in a channel, affect the deposition of particles flowing in a microfluidic network. Experiments on transport of colloidal particles in pressure-driven systems of packed beads have shown that at lower pressure drop, particles deposit locally at the inlet, while at higher pressure drop, they deposit uniformly along the direction of flow. We develop a mathematical model and use agent-based simulations to capture these essential qualitative features observed in experiments. We explore the deposition profile over a two-dimensional phase diagram defined in terms of the pressure and shear stress threshold, and show that two distinct phases exist. We explain this apparent phase transition by drawing an analogy to simple one-dimensional models of aggregation in which the phase transition is calculated analytically.
