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Resonant advection by oscillatory flow in a curved pipe

Authors
Journal
Physica D Nonlinear Phenomena
0167-2789
Publisher
Elsevier
Publication Date
Volume
76
Identifiers
DOI: 10.1016/0167-2789(94)90249-6

Abstract

Abstract Tracer transport by laminar, fully-developed, quasi-steady oscillatory flow in a curved pipe is investigated. A near-integrable Hamiltonian dynamical system governs the transverse motion; “islands” are formed (in accordance with Kolmogorov-Arnol'd-Moser theory), which occupy a significant fraction of the pipe cross-section. In certain islands, there is resonance between the longitudinal and transverse flows, causing rapid longitudinal transport of tracer. Particles whose trajectories lie in the chaotic regions surrounding such islands have an intermittent longitudinal motion, due to trapping by cantori.

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