Effect of weak fluid inertia upon Jeffery orbits - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2015

Effect of weak fluid inertia upon Jeffery orbits

Résumé

We consider the rotation of small neutrally buoyant axisymmetric particles in a viscous steady shear flow. When inertial effects are negligible the problem exhibits infinitely many periodic solutions, the ``Jeffery orbits.'' We compute how inertial effects lift their degeneracy by perturbatively solving the coupled particle-flow equations. We obtain an equation of motion valid at small shear Reynolds numbers, for spheroidal particles with arbitrary aspect ratios. We analyze how the linear stability of the ``log-rolling'' orbit depends on particle shape and find it to be unstable for prolate spheroids. This resolves a puzzle in the interpretation of direct numerical simulations of the problem. In general, both unsteady and nonlinear terms in the Navier-Stokes equations are important.
Fichier principal
Vignette du fichier
PhysRevE.91.041002.pdf (248.84 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01459164 , version 1 (05-03-2019)

Identifiants

Citer

J. Einarsson, F. Candelier, F. Lundell, J. R. Angilella, B. Mehlig. Effect of weak fluid inertia upon Jeffery orbits. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2015, 91 (4), ⟨10.1103/PhysRevE.91.041002⟩. ⟨hal-01459164⟩
34 Consultations
115 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More