An analytical study of transport in Stokes flows exhibiting large-scale chaos in the eccentric journal bearing
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Publication:3137603
DOI10.1017/S0022112093001776zbMath0790.76023OpenAlexW2142345941MaRDI QIDQ3137603
Tasso J. Kaper, Stephen Wiggins
Publication date: 13 October 1993
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112093001776
Stokes and related (Oseen, etc.) flows (76D07) General theory of rotating fluids (76U05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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Transport in 3D volume-preserving flows ⋮ Enhancement of transport from drops by steady and modulated electric fields ⋮ A geometric criterion for adiabatic chaos ⋮ Universal properties of chaotic transport in the presence of diffusion ⋮ Effect of laminar chaos on reaction and dispersion in eccentric annular flow ⋮ Unnamed Item ⋮ Transport in a slowly perturbed convective cell flow ⋮ Electrohydrodynamically driven chaotic mixing in a translating drop ⋮ Sensitivity of regions of irregular and chaotic vibrations of an asymmetric rotor supported on journal bearings to structural parameters ⋮ Existence and Computation of Hyperbolic Trajectories of Aperiodically Time Dependent Vector Fields and Their Approximations ⋮ On invariant manifolds attached to oscillating boundaries in Stokes flows ⋮ DIFFUSIVE CUT-OFF SCALE OF FRACTAL SURFACES IN CHAOTIC MIXING ⋮ A numerical Eulerian approach to mixing by chaotic advection ⋮ Chaotic advection in creeping flow of viscoelastic fluids between slowly modulated eccentric cylinders ⋮ ANIMATION OF CHAOTIC MIXING BY A BACKWARD POINCARE CELL-MAP METHOD ⋮ Chaotic motion of fluid and solid particles in plane wakes ⋮ A manifold independent approach to understanding transport in stochastic dynamical systems
Cites Work
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- Flow of a Newtonian fluid between eccentric rotating cylinders: inertial effects
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- Transport in two-dimensional maps
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- On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations
- Slowly pulsating separatrices sweep homoclinic tangles where islands must be small: an extension of classical adiabatic theory
- Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic
- Stochastic Problems in Physics and Astronomy
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