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

By Bérengère Dubrulle, O. Dauchot, F. Daviaud, Pierre-Yves Longaretti, D. Richard, J. Zahn. 2005

176 citations recorded by the source corpus.

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.

Subfields: Computational Mechanics, Economics and Econometrics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/6efaac409d8d8cd93a755fbf749cdb1a28752d30

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Citations in the corpus

Direct numerical simulation of turbulent Taylor–Couette flow (2007, methodology): “A detailed analysis of the experimental data from several studies is available in Dubrulle et al. (2005).”
EMPIRICAL CONSTRAINTS ON TURBULENCE IN PROTOPLANETARY ACCRETION DISKS (2010, background): “…flow by Hersant et al. (2005) finds that the 100m s−1 turbulent linewidth (of order .30% of the sound speed) derived from low spectral resolution observations of DM Tau by Guilloteau & Dutrey (1998) are on par with expectations from labo- 11 ratory measurements by Dubrulle et al. (2005).”
High-Reynolds number Taylor-Couette turbulence. (2016, methodology): “As response parameter the astrophysical community uses the dimensionless turbulent viscosity β (Richard & Zahn 1999; Dubrulle et al. 2005; F. Hersant, B. Dubrulle & J.-M. Huré 2005) defined through β = 2(1− η)4 πη2 G Re2s = 2(1− η)4 πη2 NuωGlam Re2s , (13) rather than the dimensionless torque G or…”