Spiral and Wavy Vortex Flows in Short Counter-Rotating Taylor–Couette Cells |
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Authors: | Olivier Czarny Eric Serre Patrick Bontoux Richard M Lueptow |
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Institution: | LMSNM, FRE 2405 CNRS - Universités d'Aix-Marseille, IMT, La Jetée-Technop?le de Chateau-Gombert, 38 rue Frédéric Joliot-Curie, 13451 Marseille cedex 20, France, FR Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208, U.S.A., US
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Abstract: | Differentially rotating cylinders result in a rich variety of vortical flows for cylindrical Couette flow. In this study we
investigate the case of a short, finite-length cavity with counter-rotating cylinders via direct numerical simulation using
a three-dimensional spectral method. We consider aspect ratios ranging from 5 to 6. Two complex flow regimes, wavy vortices
and interpenetrating spirals, occur with similar appearance to those found experimentally for much larger aspect ratios. For
wavy vortices the wave speed is similar to that found for counter-rotating systems and systems in which the outer cylinder
is stationary. For the interpenetrating spiral structure, the vortices are largely confined to the unstable region near the
inner cylinder. The endwalls appear to damp and stabilize the flow as the aspect ratio is reduced to the point that in some
cases the vortical flow is suppressed. At higher inner cylinder speeds, the interpenetrating spirals acquire a waviness and
the vortices, while generally near the inner cylinder, can extend all of the way to the outer cylinder.
Received 5 November 2001 and accepted 29 March 2002 Published online 2 October 2002
Communicated by H.J.S. Fernando |
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