On invariant manifolds attached to oscillating boundaries in Stokes flows

DOI10.1063/1.166274zbMath0962.76518OpenAlexW1974257518WikidataQ52015498 ScholiaQ52015498MaRDI QIDQ4935794

Thomas Yuster, William W. Hackborn

Publication date: 17 January 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/437a3096e735adde628b7049b3461d1f4170327c

zbMATH Keywords

Stokes flowfixed pointinvariant manifoldPoincaré mapseparatrixflat wallcylindrical wallperturbed flow

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (7)

Predicting transport by Lagrangian coherent structures with a high-order method ⋮ Experimental and numerical investigation of the kinematic theory of unsteady separation ⋮ Exact theory of material spike formation in flow separation ⋮ Unsteady fluid flow separation by the method of averaging ⋮ A numerical study of passive scalar evolution in peripheral regions ⋮ A Lagrangian criterion of unsteady flow separation for two-dimensional periodic flows ⋮ Material spike formation in highly unsteady separated flows

Cites Work

• Eddies in two dimensional Stokes flow
• An analytical study of transport in Stokes flows exhibiting large-scale chaos in the eccentric journal bearing
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• Chaotic advection in a Stokes flow
• A theoretical and experimental study of hyperbolic and degenerate mixing regions in a chaotic Stokes flow
• Chaotic advection in a Rayleigh-Bénard flow
• A contribution to the hydrodynamics of lubrication

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