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Experiments on mixing in continuous chaotic flows

Published online by Cambridge University Press:  26 April 2006

H. A. Kusch  and
J. M. Ottino
H. A. Kusch
Affiliation:
Chevron Oil Field Research Company, La Habra, CA 90633, USA
J. M. Ottino
Affiliation:
Department of Chemical Engineering, Northwestern University, Evanston, IL 60208, USA
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Abstract

We present the design and operation of a flow apparatus for investigations of mixing in time-periodic and spatially periodic chaotic flows. Uses are illustrated in terms of two devices operating in the Stokes regime: the partitioned-pipe mixer, a spatially periodic system consisting of sequences of flows in semicircular ducts, and the eccentric helical annular mixer, a time-periodic velocity field between eccentric cylinders with a superposed Poiseuille flow; other mixing flows can be implemented with relative ease. Fundamental differences between spatially periodic and time-periodic duct flows are readily apparent. Steady spatially periodic systems show segregated KAM-tubes coexisting with chaotic advection; such tubes are remarkably stable under a variety of experimental conditions. Time-periodic duct flows lead to complex streakline structures; since regular regions in the cross-sectional flow move through space, a streakline can find itself injected in a regular domain for some time then be trapped in a chaotic region, and so on, leading to ‘intermittent’ behaviour.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 236 , March 1992 , pp. 319 - 348
Copyright
© 1992 Cambridge University Press

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