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

2012/08/12 by Agnieszka M. Słowicka, Slowicka, Agnieszka M., Eligiusz Wajnryb +3
Chemical Engineering · Engineering · Medicine · #Blood properties and coagulation #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Lattice Boltzmann Simulation Studies #Rheology and Fluid Dynamics Studies #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.1208.2418

openalex publication_date 2012/08/12 · openalex created_date 2022/09/21 · openalex updated_date 2026/07/28

Abstract

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

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