Lagrangian turbulence and spatial complexity in a Stokes flow

A simple Stokes flow problem, corresponding to an incompressible flow between two eccentric cylinders rotating alternately, is investigated numerically. It is demonstrated that for a wide range of system parameters the fluid particles can evolve along highly chaotic orbits, thereby providing an exam...

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Veröffentlicht in:Physics of fluids (1994) 1987-03, Vol.30 (3), p.687-694
Hauptverfasser: Chaiken, J., Chu, C. K., Tabor, M., Tan, Q. M.
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container_title Physics of fluids (1994)
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creator Chaiken, J.
Chu, C. K.
Tabor, M.
Tan, Q. M.
description A simple Stokes flow problem, corresponding to an incompressible flow between two eccentric cylinders rotating alternately, is investigated numerically. It is demonstrated that for a wide range of system parameters the fluid particles can evolve along highly chaotic orbits, thereby providing an example of so called ‘‘Lagrangian turbulence.’’ Passive scalar distributions can rapidly evolve into structures of remarkable spatial complexity that can be characterized in terms of the underlying phase space dynamics. An investigation is made of the ability of simple area preserving mappings, deduced from the physical problem, to reproduce the dynamics obtained from the exact solution.
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source AIP Digital Archive; Alma/SFX Local Collection
subjects Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Turbulent flows, convection, and heat transfer
title Lagrangian turbulence and spatial complexity in a Stokes flow
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