6533b7dbfe1ef96bd12713f9

RESEARCH PRODUCT

On Stability of a Concentrated Fiber Suspension Flow

Uldis Strautins

subject

symbols.namesakeMaterials scienceField (physics)Flow (psychology)symbolsReynolds numberMechanicsTransient (oscillation)MicrostructureStability (probability)InstabilityEigenvalues and eigenvectors

description

Linear stability analysis of a fiber suspension flow in a channel domain is performed using a modified Folgar-Tucker equation. Two kinds of potential instability are identified: one is associated with overcritical Reynolds number and another is associated with certain perturbations in fiber orientation field and is present for any Reynolds numbers. The second type of instability leads to initially growing transient perturbations in the microstructure. It is shown that both types of instability lead to instability of the bulk velocity field. As for the perturbed Orr-Sommerfeld eigenvalues, the presence of fibers increases the stability region; the stability region increases with growing C i and decreases with growing S 0 in the modified Folgar-Tucker model.

yearjournalcountryeditionlanguage
2014-01-01
https://doi.org/10.1007/978-3-319-05365-3_17