High-Reynolds Number Taylor-Couette Turbulence

Siegfried Grossmann, Detlef Lohse, Chao Sun

Research output: Contribution to journalArticleAcademicpeer-review

106 Citations (Scopus)
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Abstract

Taylor-Couette flow, the flow between two coaxial co- or counter-rotating cylinders, is one of the paradigmatic systems in the physics of fluids. The (dimensionless) control parameters are the Reynolds numbers of the inner and outer cylinders, the ratio of the cylinder radii, and the aspect ratio. One key response of the system is the torque required to retain constant angular velocities, which can be connected to the angular velocity transport through the gap. Whereas the low–Reynolds number regime was well explored in the 1980s and 1990s of the past century, in the fully turbulent regime major research activity developed only in the past decade. In this article, we review this recent progress in our understanding of fully developed Taylor-Couette turbulence from the experimental, numerical, and theoretical points of view. We focus on the parameter dependence of the global torque and on the local flow organization, including velocity profiles and boundary layers. Next, we discuss transitions between different (turbulent) flow states. We also elaborate on the relevance of this system for astrophysical disks (quasi-Keplerian flows). The review ends with a list of challenges for future research on turbulent Taylor-Couette flow.
Original languageEnglish
Pages (from-to)53-80
Number of pages28
JournalAnnual review of fluid mechanics
Volume48
DOIs
Publication statusPublished - 23 Jul 2016

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high Reynolds number
Couette flow
turbulence
angular velocity
torque
rotating cylinders
turbulent flow
lists
aspect ratio
boundary layers
Reynolds number
astrophysics
counters
velocity distribution
physics
radii
fluids

Keywords

  • METIS-314768
  • IR-99585

Cite this

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High-Reynolds Number Taylor-Couette Turbulence. / Grossmann, Siegfried; Lohse, Detlef; Sun, Chao.

In: Annual review of fluid mechanics, Vol. 48, 23.07.2016, p. 53-80.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - High-Reynolds Number Taylor-Couette Turbulence

AU - Grossmann, Siegfried

AU - Lohse, Detlef

AU - Sun, Chao

PY - 2016/7/23

Y1 - 2016/7/23

N2 - Taylor-Couette flow, the flow between two coaxial co- or counter-rotating cylinders, is one of the paradigmatic systems in the physics of fluids. The (dimensionless) control parameters are the Reynolds numbers of the inner and outer cylinders, the ratio of the cylinder radii, and the aspect ratio. One key response of the system is the torque required to retain constant angular velocities, which can be connected to the angular velocity transport through the gap. Whereas the low–Reynolds number regime was well explored in the 1980s and 1990s of the past century, in the fully turbulent regime major research activity developed only in the past decade. In this article, we review this recent progress in our understanding of fully developed Taylor-Couette turbulence from the experimental, numerical, and theoretical points of view. We focus on the parameter dependence of the global torque and on the local flow organization, including velocity profiles and boundary layers. Next, we discuss transitions between different (turbulent) flow states. We also elaborate on the relevance of this system for astrophysical disks (quasi-Keplerian flows). The review ends with a list of challenges for future research on turbulent Taylor-Couette flow.

AB - Taylor-Couette flow, the flow between two coaxial co- or counter-rotating cylinders, is one of the paradigmatic systems in the physics of fluids. The (dimensionless) control parameters are the Reynolds numbers of the inner and outer cylinders, the ratio of the cylinder radii, and the aspect ratio. One key response of the system is the torque required to retain constant angular velocities, which can be connected to the angular velocity transport through the gap. Whereas the low–Reynolds number regime was well explored in the 1980s and 1990s of the past century, in the fully turbulent regime major research activity developed only in the past decade. In this article, we review this recent progress in our understanding of fully developed Taylor-Couette turbulence from the experimental, numerical, and theoretical points of view. We focus on the parameter dependence of the global torque and on the local flow organization, including velocity profiles and boundary layers. Next, we discuss transitions between different (turbulent) flow states. We also elaborate on the relevance of this system for astrophysical disks (quasi-Keplerian flows). The review ends with a list of challenges for future research on turbulent Taylor-Couette flow.

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