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arXiv 1902.05935physics.flu-dyn
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惯性微流场中稳定微粒的形状设计

Shape-design for stabilizing micro-particles in inertial microfluidic flows

Aditya Kommajosula, Daniel Stoecklein, Dino Di Carlo, Baskar Ganapathysubramanian

摘要:

当对中等雷诺数($10 \le Re \le 80$)的稀悬浮液的一部分进行数值研究时,稳定在通道流中心线处的微粒的设计。基于线性稳定性理论,给出了任意形状颗粒的稳定性度量。粒子形状是参数化的紧凑,非均匀有理B样条(NURBS)为基础的表示。形状设计是一个优化问题,并解决了自适应贝叶斯优化。我们专注于设计粒子在通道中心线的最大稳定性的扰动鲁棒性。我们的研究结果表明,中心线聚焦粒子是家庭的特征“鱼”/“瓶”/“哑铃”状的形状,表现出前后不对称。然后进行参数探索以识别在不同k(颗粒弦与通道宽度比)和Re($0.1 \le k \le 0.4, 10 \le Re \le 80$)下的稳定颗粒设计。当与低k和Re的颗粒相比时,高k和Re的颗粒高度稳定。与先前报道的低Re Hele-Shaw流动的杆盘模型(Uspal & Doyle 2014)相比,当前框架中修改的哑铃形设计的比较也显示出对流体-结构相互作用(FSI)中扰动的更好性能。我们确定盆地的吸引力中心线周围,其中跨越较大的释放角范围和横向位置(倾向于通道宽度)较窄的通道,这有效地证明了全球聚焦的概念,在这种配置中使用当前的稳定性范例。本框架说明了2D的情况下,是潜在的推广到3D流场的稳定性。目前的配方也是不可知的Re和颗粒/通道几何形状,这表明与成像流式细胞术工具和微流体生物传感测定集成的巨大潜力。

英文摘要:

Design of microparticles which stabilize at the centerline of a channel flow when part of a dilute suspension is examined numerically for moderate Reynolds numbers ($10 \le Re \le 80$). Stability metrics for particles with arbitrary shapes are formulated based on linear-stability theory. Particle shape is parametrized by a compact, Non-Uniform Rational B-Spline (NURBS)-based representation. Shape-design is posed as an optimization problem and solved using adaptive Bayesian optimization. We focus on designing particles for maximal stability at the channel-centerline robust to perturbations. Our results indicate that centerline-focusing particles are families of characteristic "fish"/"bottle"/"dumbbell"-like shapes, exhibiting fore-aft asymmetry. A parametric exploration is then performed to identify stable particle-designs at different k's (particle chord-to-channel width ratio) and Re's ($0.1 \le k \le 0.4, 10 \le Re \le 80$). Particles at high-k's and Re's are highly stabilized when compared to those at low-k's and Re's. A comparison of the modified dumbbell designs from the current framework also shows better performance to perturbations in Fluid-Structure Interaction (FSI) when compared to the rod-disk model reported previously (Uspal & Doyle 2014) for low-Re Hele-Shaw flow. We identify basins of attraction around the centerline, which span larger release-angle-ranges and lateral locations (tending to the channel width) for narrower channels, which effectively standardizes the notion of global focusing in such configurations using the current stability-paradigm. The present framework is illustrated for 2D cases and is potentially generalizable to stability in 3D flow-fields. The current formulation is also agnostic to Re and particle/channel geometry which indicates substantial potential for integration with imaging flow-cytometry tools and microfluidic biosensing-assays.

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