Lateral migration of flexible fibers in Poiseuille flow between two parallel planar solid walls

TL;DR

This study numerically investigates the lateral migration of flexible fibers in Poiseuille flow between parallel walls, revealing how fiber length and stiffness influence their equilibrium positions and tumbling behaviors.

Contribution

It introduces a detailed numerical analysis of fiber dynamics in confined flow, identifying three distinct migration and tumbling modes based on fiber flexibility and shear-to-bending ratio.

Findings

Fibers migrate to a critical distance from the wall depending on length and stiffness.

Three dynamic modes are identified: near-wall accumulation, far-from-wall accumulation, and irregular tumbling.

Migration patterns depend on the shear-to-bending parameter Gamma.

Abstract

Dynamics of non-Brownian flexible fibers in Poiseuille flow between two parallel planar solid walls is evaluated from the Stokes equations, solved numerically by an accurate multipole code HYDROMULTIPOLE. Fibers migrate towards a critical distance from the wall zc, which depends significantly on the fiber length N and bending stiffness A. Therefore, the calculated values of zc can be used to sort fibers. Three modes of the dynamics are found, depending on a shear-to-bending parameter Gamma. In the first mode, stiff fibers deform only a little and accumulate close to the wall, as the result of a balance between the tendency to drift away from the channel and the repulsive hydrodynamic interaction with the wall. This mechanism is confirmed by simulations in the unbounded Poiseuille flow. In the second mode, flexible fibers deform significantly and accumulate far from the wall. In both modes, the tumbling pattern is repeatable. In the third mode, the fibers are even more curved, and their tumbling is irregular.