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 引用本文: 孙壮, 陈高峰, 胡安˙德˙巴勃罗, 蒋玺恺. 球腔内低雷诺数流体中颗粒输运研究进展. 力学学报, 2024, 56(5): 1-13.
Sun Zhuang, Chen Gaofeng, de Pablo Juan J., Jiang Xikai. Particulate transport in the low-Reynolds-number fluid confined in a spherical cavity. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(5): 1-13.
 Citation: Sun Zhuang, Chen Gaofeng, de Pablo Juan J., Jiang Xikai. Particulate transport in the low-Reynolds-number fluid confined in a spherical cavity. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(5): 1-13.

## PARTICULATE TRANSPORT IN THE LOW-REYNOLDS-NUMBER FLUID CONFINED IN A SPHERICAL CAVITY

• 摘要: 受限环境下低雷诺数流体中的颗粒输运与生物、医药、化工和能源等应用密切相关. 近年来, 球腔内低雷诺数流体中的颗粒输运引起了广泛关注, 它在细胞内生命活动和微流控封装技术中发挥着关键作用. 为了掌握颗粒输运规律、揭示微观力学机理, 各国学者进行了广泛的理论、数值和实验研究, 取得了一系列成果. 本文将梳理当前的研究进展, 分别从理论模型、数值模拟和实验研究三方面, 介绍关于球腔内低雷诺数流体中颗粒输运的重要工作. 理论模型方面, 主要工作包括刚性无滑移壁面、边界滑移和可变形壁面等情况下单个及多个颗粒输运的研究; 数值模拟方面, 重要工作包括模拟不同形状颗粒在静止与旋转球腔内的输运, 研究颗粒的水动力迁移率与运动轨迹; 实验研究方面, 相关工作包含水液滴内颗粒三维轨迹、扩散系数的观测, 以及利用球腔内颗粒布朗运动来计算受限环境性质的相关研究. 通过总结相关成果, 旨在为微纳尺度流动与颗粒输运领域的专家学者提供参考.

Abstract: Particulate transport in low-Reynolds-number fluids in confined environments play key roles in applications related to biology, medicine, chemical engineering, and energy, to name a few. Recently, much attention has been paid on particle dynamics in low-Reynolds-number fluids under spherical confinement, owing to its importance in life processes in living cells and technologies related to microfluidic encapsulation and droplet-based microreactors. To understand fundamental principles and microscopic mechanisms behind the particulate transport processes, scholars and researchers around the world have undertaken extensive and comprehensive investigations from theoretical, numerical, and experimental approaches. These efforts have led to the significant advancements in our understanding of particle transport in confined low-Reynolds-number fluids. Despite these efforts, a review article describing the current state of research progress in this area remains absent. In this article, we will summarize relevant progress and achievements obtained by using theoretical, numerical, and experimental methods. In theoretical studies, scholars mainly investigated confined particle dynamics in the spherical cavity with no-slip and slip conditions on particle and cavity boundaries, and particle motion in a spherical cavity with a deformable elastic wall. In numerical studies, simulations have been conducted to investigate the behavior of particles with different shapes in both stationary and rotating spherical cavities. In experimental endeavors, researchers have employed advanced optical microscopy techniques to trace and analyze three-dimensional trajectories of colloidal particles within spherical water globules, and the particle’s diffusional behaviors were quantitatively analyzed. Besides, the Brownian motion and diffusivities of particles in a spherical cavity have been used to probe the confined environment’s properties. By reviewing the above work related to particulate transport in low-Reynolds-number fluids under spherical confinement from three different aspects, namely theoretical models, numerical simulations, and experimental investigations, this work could provide a reference for experts and scholars working in areas such as microfluidics, nanofluidics, and particulate transport.

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