Abstract Inertia-induced cross-stream migration has been recently exploited for precise position of particles in confined channel flows. In this work, a three-dimensional finite volume based immersed boundary method has been developed to study the lateral migration and hydrodynamic self-assembly of neutrally-buoyant particles in pressure-driven flows. Simulation results show that, in 2D channel flows, the equilibrium position for a circular particle is closer to the centreline for larger particle Reynolds number due to the increasing flow rate, while in 3D square duct flow, the equilibrium position for a spherical particle is near a face centre and is closer to the wall for larger particle Reynolds number. Self-assembly of a pair of particles is observed in 3D square duct flows but not in 2D channel flows. Mechanisms for the self-assembly are discussed.

中文翻译：

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使用直接强迫浸入边界法对直通道流中颗粒横向迁移的数值研究

摘要 最近，惯性引起的横流迁移已被用于在受限通道流中精确定位颗粒。在这项工作中，开发了一种基于三维有限体积的浸入边界方法来研究压力驱动流中中性浮力粒子的横向迁移和流体动力学自组装。模拟结果表明，在二维通道流中，由于流速增加，圆形颗粒的平衡位置更接近于较大颗粒雷诺数的中心线，而在 3D 方形管道流中，球形颗粒的平衡位置接近一个面中心并且更靠近壁以获得更大的雷诺数。在 3D 方形管道流中观察到一对粒子的自组装，但在 2D 通道流中未观察到。