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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
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

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
Copyright
© 1989 Cambridge University Press

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