Symmetry breaking of the flow in a cylinder driven by a rotating end wall

H. M. Blackburn; J. M. Lopez

doi:10.1063/1.1313550

Symmetry breaking of the flow in a cylinder driven by a rotating end wall

H. M. Blackburn, J. M. Lopez

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61 Citations (Scopus)

Abstract

The flow driven by a rotating end wall in a cylindrical container with aspect ratio H/R = 2.5 is time dependent for Reynolds numbers Re = ΩR²/ν>2700. For Reynolds numbers up to 4000 three solution branches have been identified, and we examine a solution on each one. At Re = 3000, the flow is axisymmetric and time periodic. At Re = 3500, the flow is quasiperiodic with a low-frequency modulation and supports a modulated rotating wave with azimuthal wave number k = 5. At Re = 4000, the flow is time periodic with a qualitatively different mode of oscillation to that at Re = 3500. It also supports a modulated rotating wave, with k = 6. The peak kinetic energy of the nonaxisymmetric modes is associated with the jet-like azimuthal flow in the interior. (C) 2000 American Institute of Physics.

Original language	English
Pages (from-to)	2698-2701
Number of pages	4
Journal	Physics of Fluids
Volume	12
Issue number	11
DOIs	https://doi.org/10.1063/1.1313550
Publication status	Published - 1 Nov 2000
Externally published	Yes

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N2 - The flow driven by a rotating end wall in a cylindrical container with aspect ratio H/R = 2.5 is time dependent for Reynolds numbers Re = ΩR2/ν>2700. For Reynolds numbers up to 4000 three solution branches have been identified, and we examine a solution on each one. At Re = 3000, the flow is axisymmetric and time periodic. At Re = 3500, the flow is quasiperiodic with a low-frequency modulation and supports a modulated rotating wave with azimuthal wave number k = 5. At Re = 4000, the flow is time periodic with a qualitatively different mode of oscillation to that at Re = 3500. It also supports a modulated rotating wave, with k = 6. The peak kinetic energy of the nonaxisymmetric modes is associated with the jet-like azimuthal flow in the interior. (C) 2000 American Institute of Physics.

AB - The flow driven by a rotating end wall in a cylindrical container with aspect ratio H/R = 2.5 is time dependent for Reynolds numbers Re = ΩR2/ν>2700. For Reynolds numbers up to 4000 three solution branches have been identified, and we examine a solution on each one. At Re = 3000, the flow is axisymmetric and time periodic. At Re = 3500, the flow is quasiperiodic with a low-frequency modulation and supports a modulated rotating wave with azimuthal wave number k = 5. At Re = 4000, the flow is time periodic with a qualitatively different mode of oscillation to that at Re = 3500. It also supports a modulated rotating wave, with k = 6. The peak kinetic energy of the nonaxisymmetric modes is associated with the jet-like azimuthal flow in the interior. (C) 2000 American Institute of Physics.

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Symmetry breaking of the flow in a cylinder driven by a rotating end wall

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