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Dynamics of non-Brownian flexible fibers in Poiseuille flow between twoparallel planar solid walls is evaluated from the Stokes equations, solvednumerically by an accurate multipole code HYDROMULTIPOLE. Fibers migratetowards a critical distance from the wall zc, which depends significantly onthe fiber length N and bending stiffness A. Therefore, the calculated values ofzc can be used to sort fibers. Three modes of the dynamics are found, dependingon a shear-to-bending parameter Gamma. In the first mode, stiff fibers deformonly a little and accumulate close to the wall, as the result of a balancebetween the tendency to drift away from the channel and the repulsivehydrodynamic interaction with the wall. This mechanism is confirmed bysimulations in the unbounded Poiseuille flow. In the second mode, flexiblefibers deform significantly and accumulate far from the wall. In both modes,the tumbling pattern is repeatable. In the third mode, the fibers are even morecurved, and their tumbling is irregular.

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