Dynamics of an elliptical cylinder in confined Poiseuille flow under Navier slip boundary conditions

Fuente: arXiv
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Main Authors: Cai, Xinwei, Li, Xuejin, Bian, Xin
Format: Preprint
Published: 2025
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author Cai, Xinwei
Li, Xuejin
Bian, Xin
author_facet Cai, Xinwei
Li, Xuejin
Bian, Xin
contents A comprehensive understanding of surface wetting phenomena in microchannels is essential for optimizing particle transport and filtration processes. This study numerically investigates the dynamics of a freely suspended elliptical cylinder in confined Poiseuille flow, with a focus on Navier slip boundary conditions. The smoothed particle hydrodynamics method is employed, which is advantageous for its Lagrangian framework in handling dynamic fluid-solid interfaces with slip. Our results demonstrate that the slip conditions enable precise control over inertial focusing positions and particle motion modes. Compared to no-slip scenarios, unilateral wall slip induces two novel motion types: "leaning" and "rolling". When equal slip lengths are applied to both walls, even small slip values facilitate off-center inertial focusing and elevate equilibrium positions. Slip on the cylinder surface further enhances inertial lift while suppressing rotational dynamics. In particular, under strong confinement or with large particle-surface slip lengths, we identify an additional distinct motion regime termed "inclined." These findings provide new insights for active particle manipulation in microfluidic applications.
format Preprint
id arxiv_https___arxiv_org_abs_2503_21192
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamics of an elliptical cylinder in confined Poiseuille flow under Navier slip boundary conditions
Cai, Xinwei
Li, Xuejin
Bian, Xin
Fluid Dynamics
A comprehensive understanding of surface wetting phenomena in microchannels is essential for optimizing particle transport and filtration processes. This study numerically investigates the dynamics of a freely suspended elliptical cylinder in confined Poiseuille flow, with a focus on Navier slip boundary conditions. The smoothed particle hydrodynamics method is employed, which is advantageous for its Lagrangian framework in handling dynamic fluid-solid interfaces with slip. Our results demonstrate that the slip conditions enable precise control over inertial focusing positions and particle motion modes. Compared to no-slip scenarios, unilateral wall slip induces two novel motion types: "leaning" and "rolling". When equal slip lengths are applied to both walls, even small slip values facilitate off-center inertial focusing and elevate equilibrium positions. Slip on the cylinder surface further enhances inertial lift while suppressing rotational dynamics. In particular, under strong confinement or with large particle-surface slip lengths, we identify an additional distinct motion regime termed "inclined." These findings provide new insights for active particle manipulation in microfluidic applications.
title Dynamics of an elliptical cylinder in confined Poiseuille flow under Navier slip boundary conditions
topic Fluid Dynamics
url https://arxiv.org/abs/2503.21192