Journal article
Direct numerical simulation of rotating fluid flow in a closed cylinder
Department of Fluid Mechanics, Building 404, Technical University of Denmark, DK-2800 Lyngby, Denmark
Institute of Mathematical Modelling, Building 305, Technical University of Denmark, DK-2800 Lyngby, Denmark
Present numerical simulations of the transition scenario of a rotating fluid flow in a closed cylinder are presented, where the motion is created by a rotating lid. The numerical algorithm, which is based on a finite‐difference discretization of the axisymmetric Navier‐Stokes equations, is validated against experimental visualizations of both transient and stable periodic flows.
The complexity of the flow problem is illuminated numerically by injecting flow tracers into the flow domain and following their evolution in time. The vortex dynamics appears as stretching, folding and squeezing of flow structures which wave along the contour of a central vortex core. The main purpose of the study is to clarify the mechanisms of the transition scenario and relate these to experiences known from other dynamical systems and bifurcation theory.
The dynamical system was observed to exhibit up to three multiple solutions for the same Reynolds number, and to contain four discernible branches. The transition to strange attractor behavior was identified as a nontrivial Ruelle‐Takens transition through a transient torus. The various solution branches of the rotating flow problem are illustrated by phase portraits and summarized on a frequency diagram.
Language: | Undetermined |
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Publisher: | American Institute of Physics |
Year: | 1995 |
Pages: | 764-778 |
ISSN: | 10897666 and 10706631 |
Types: | Journal article |
DOI: | 10.1063/1.868600 |