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Chaotic advection by laminar flow in a twisted pipe

Published online by Cambridge University Press:  26 April 2006

Scott W. Jones ,
Oran M. Thomas  and
Hassan Aref
Scott W. Jones
Affiliation:
Department of Applied Mechanics and Engineering Science, University of California at San Diego, La Jolla, CA 92093, USA
Oran M. Thomas
Affiliation:
Department of Applied Mechanics and Engineering Science, University of California at San Diego, La Jolla, CA 92093, USA
Hassan Aref
Affiliation:
Department of Applied Mechanics and Engineering Science, University of California at San Diego, La Jolla, CA 92093, USA
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Abstract

The appearance of chaotic particle trajectories in steady, laminar, incompressible flow through a twisted pipe of circular cross-section is demonstrated using standard dynamical systems diagnostics and a model flow based on Dean's perturbation solutions. A study is performed to determine the parameters that control fluid stirring in this mixing device that has no moving parts. Insight into the chaotic dynamics are provided by a simple one-dimensional map of the pipe boundary onto itself. The results of numerical experiments illustrating the stretching of material lines, stirring of blobs of material, and the three-dimensional trajectories of fluid particles are presented. Finally, enhanced longitudinal particle dispersal due to the coupling between chaos in the transverse direction and the non-uniform longitudinal transport of particles is shown.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 209 , December 1989 , pp. 335 - 357
Copyright
© 1989 Cambridge University Press

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