High–Reynolds Number Taylor-Couette Turbulence

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. 53

On the CFD Analysis of a Stratified Taylor-Couette System Dedicated to the Fabrication of Nanosensors

“…The geometrical parameters of the proposed system are different from all of the works found, included the works by Andereck et al [9] and the more recent ones by Ostilla-Mónico et al [15] and Grossman et al [10]. In terms of radius ratio, the work by Ostilla-Mónico et al [15] is the closest to the present case but Reynolds number values are much higher than the ones relative to our analysis.…”

“…The geometrical parameters of the proposed system are different from all of the works found, included the works by Andereck et al [9] and the more recent ones by Ostilla-Mónico et al [15] and Grossman et al [10]. In terms of radius ratio, the work The present work proposes an extension of the research described in [13], hereafter referred to as previous work, where the innovative methodology for fibers nanotips production was introduced and a preliminary fluid dynamic analysis of the system performed.…”

“…Many other flow types also exist, including all of the possible various combinations, until the fully turbulent flow is reached. An extensive and well-organized literature review is presented also in the work of Grossmann et al [10], where research trends are also related to a temporal evolution.…”

Statistics of turbulence in the energy-containing range of Taylor–Couette compared to canonical wall-bounded flows

“…We will exploit this benefit in the present paper to investigate the ECR scalings for Taylor-Couette (TC) flow in the gap between two coaxial independently rotating cylinders. The rich flow physics of this problem are well studied in many aspects and we refer to the recent reviews by Fardin et al (2014), which focusses on flow patterns emerging at moderate Reynolds numbers, and in particular to the one by Grossmann et al (2016) for a comprehensive overview on high Reynolds number dynamics. Our interest here lies in the highly turbulent state, the so-called ultimate regime, in which the bulk flow as well as the boundary layers are turbulent (Grossmann & Lohse 2011;Huisman et al 2013b;Ostilla-Mónico et al 2014;Grossmann et al 2016).…”

Effects of axial rectangular groove on turbulent Taylor-Couette flow from analysis of experimental data

“…Since the pioneering contribution of Couette [13], the Taylor-Couette flow has been greatly studied, both experimentally, numerically and theoretically because of its considerable scientific and engineering importance. The recent comprehensive review of Grossmann et al [14] provides salient details on its fully developed turbulence regime from experimental, numerical, and theoretical points of view.…”