Stability and turbulent transport in Taylor–Couette flow from analysis of experimental data

Bérengère Dubrulle; Olivier Dauchot; F. Daviaud; P.-Y. Longaretti; D. Richard; J.-P. Zahn

Stability and turbulent transport in Taylor–Couette flow from analysis of experimental data

Bérengère Dubrulle ¹ Olivier Dauchot ¹ F. Daviaud ¹ P.-Y. Longaretti ² D. Richard ³ J.-P. Zahn ⁴

1 SPEC - UMR3680 - Service de physique de l'état condensé

2 LAOG - Laboratoire d'Astrophysique de Grenoble

3 Space Science and Astrobiology Division at Ames

4 LUTH - Laboratoire Univers et Théories

Abstract : This paper provides a prescription for the turbulent viscosity in rotating shear flows for use e.g. in geophysical and astrophysical contexts. This prescription is the result of the detailed analysis of the experimental data obtained in several studies of the transition to turbulence and turbulent transport in Taylor-Couette flow. We first introduce a new set of control parameters, based on dynamical rather than geometrical considerations, so that the analysis applies more naturally to rotating shear flows in general and not only to Taylor-Couette flow. We then investigate the transition thresholds in the supercritical and the subcritical regime in order to extract their general dependencies on the control parameters. The inspection of the mean profiles provides us with some general hints on the mean to laminar shear ratio. Then the examination of the torque data allows us to propose a decomposition of the torque dependence on the control parameters in two terms, one completely given by measurements in the case where the outer cylinder is at rest, the other one being a universal function provided here from experimental fits. As a result, we obtain a general expression for the turbulent viscosity and compare it to existing prescription in the literature. Finally, throughout all the paper we discuss the influence of additional effects such as stratification or magnetic fields.

Document type :

Journal articles

Domain :

Physics [physics]

Complete list of metadatas

Cited literature [57 references] Display Hide Download

https://hal-cea.archives-ouvertes.fr/cea-01376857
Contributor : Dominique Girard <>
Submitted on : Wednesday, October 5, 2016 - 5:01:29 PM
Last modification on : Friday, May 10, 2019 - 1:54:07 PM
Long-term archiving on : Friday, January 6, 2017 - 2:06:09 PM

1106.1276.pdf

Files produced by the author(s)

Stability and turbulent transport in Taylor–Couette flow from analysis of experimental data

File

Identifiers

Collections

Citation

Export

Metrics

219

329

Contact

Stability and turbulent transport in Taylor–Couette flow from analysis of experimental data

File

Identifiers

Collections

Citation

Export

Share

Metrics

219

329

Contact