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Transition to turbulence in two-dimensional Poiseuille flow

Published online by Cambridge University Press:  26 April 2006

Javier Jiménez
Javier Jiménez
Affiliation:
School of Aeronautics, Universidad Politécnica Madrid, P. Cardenal Cisneros 3, 28040 Madrid, SpainandIBM Madrid Scientific Centre
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Abstract

The transition of strictly two-dimensional Poiseuille flow from laminar to chaotic behaviour is studied through full numerical simulation of spatially periodic channels with fairly large longitudinal aspect ratios. The successive bifurcations are studied in detail and their physical mechanism is elucidated. The Liapunov exponents of the flow are measured and shown to be positive at large Reynolds numbers. Isolated, permanent patches of unsteady behaviour, resembling the turbulent ‘puffs’ observed in circular pipes, are found at low Reynolds numbers and shown to be important for the transition to chaos. The flow exhibits several other phenomena present in natural three-dimensional flows, including wall sweeps, ejections, and intermittency.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 218 , September 1990 , pp. 265 - 297
Copyright
© 1990 Cambridge University Press

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