Dynamics of axially localized states in Taylor-Couette flows

Lopez, José M.; Marqués, Francisco

doi:10.1103/physreve.91.053011

Cited by 3 publications

(4 citation statements)

References 53 publications

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“…However, we point out that the end-walls confining the fluid in z result in distinctly different bifurcations, as demonstrated e.g. in detailed experiments [49] and in DNS [50] for systems with moderate aspect ratios (Γ∼10). The effect of axial end-walls is reviewed below in §3d.…”

Section: Supercritical Route To Turbulencementioning

confidence: 70%

“…This specific case is particularly appealing for theoretical studies because the strong confinement drastically reduces the number of possible solutions to the Navier–Stokes equations. As Γ increases, the temporal dynamics become increasingly complex and a multitude of local [49,50] and even global [69] bifurcations have been reported.…”

Section: Supercritical Route To Turbulencementioning

confidence: 99%

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Routes to turbulence in Taylor–Couette flow

Feldmann

Borrero-Echeverry

Burin

et al. 2023

Phil. Trans. R. Soc. A.

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Fluid flows between rotating concentric cylinders exhibit two distinct routes to turbulence. In flows dominated by inner-cylinder rotation, a sequence of linear instabilities leads to temporally chaotic dynamics as the rotation speed is increased. The resulting flow patterns occupy the whole system and sequentially lose spatial symmetry and coherence in the transition process. In flows dominated by outer-cylinder rotation, the transition is abrupt and leads directly to turbulent flow regions that compete with laminar ones. We here review the main features of these two routes to turbulence. Bifurcation theory rationalizes the origin of temporal chaos in both cases. However, the catastrophic transition of flows dominated by outer-cylinder rotation can only be understood by accounting for the spatial proliferation of turbulent regions with a statistical approach. We stress the role of the rotation number (the ratio of Coriolis to inertial forces) and show that it determines the lower border for the existence of intermittent laminar–turbulent patterns. This article is part of the theme issue ‘Taylor–Couette and related flows on the centennial of Taylor’s seminal Philosophical Transactions paper (part 2)’.

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Section: Supercritical Route To Turbulencementioning

confidence: 70%

Section: Supercritical Route To Turbulencementioning

confidence: 99%

Routes to turbulence in Taylor–Couette flow

Feldmann

Borrero-Echeverry

Burin

et al. 2023

Phil. Trans. R. Soc. A.

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“…Most of the previous numerical studies on TCF were conducted using a single wavelength ( two gap widths or aspect ratio 2) fluid column as the axial height with periodic boundary condition at the both ends of cylinder (Marcus, 1984;Fazel & Booz, 1984;Liao, Jane & Young, 1999;Bilson & Bremhorst, 2006;Dong, 2007;Abshagen et al, 2008;Pirrò & Quadrio, 2008;Heise et al, 2008;Jeng & Zhu, 2010;Kristiawan, Jirout & Sobolík, 2011;Sobolik et al, 2011;López et al, 2015;Ng, Jaiman & Lim, 2018; Dessup et al, 2018). In this study, DNS has been carried out for two different heights of fluid column, namely single wavelength fluid column (Height = 2 times the annular gap size) and four wavelengths fluid column (Height = 8 times the annular gap size).…”

Section: Numerical Methods and Validation Testmentioning

confidence: 99%

“…Abshagen et al (2012) also carried out experimental investigation on the multiplicity of states in TCF which appeared due to the axial localization of azimuthal travelling wave for wide gap problems. This led López et al (2015) to conduct a numerical analysis in an attempt to better understand the multiplicity of states found in Abshagen et al (2012). In Martiand et al (2014), stability analysis had been used in the ATVF and WVF flow for radius ratio 0.55 and Re ranging between 69 to 210.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on wide gap Taylor Couette flow with flow transition

2019

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This study aims to investigate the possible sources of non-axisymmetric disturbances and their propagation mechanism in Taylor Couette flow (TCF) for wide gap problems using direct numerical simulation with a radius ratio of 0.5 and Reynolds number (Re) ranging from 60 to 650. Here, attention is focused on the viscous layer (VL) thickness in near-wall regions and its spatial distribution along the axial direction to gain an insight into the origin and propagation of non-axisymmetric disturbances. The results show that an axisymmetric Taylor-vortex flow occurs when Re is between 68 and 425. Above Re = 425, transition from axisymmetric to non-axisymmetric flow is observed up to Re = 575 before the emergence of wavy-vortex flow. From the variation of VL thickness with Re, the VL does not experience any significant changes in the flow separation region of the inner wall, as well as jet impingement region of both the inner and outer walls. However, a sudden increase in VL thickness in the flow separation region of the outer wall reveals possible source of non-axisymmetric disturbances in the flow separation region of the outer wall. These disturbances develop into the periodic secondary flow as the axisymmetric flow transforms into non-axisymmetric flow and this leads to the emergence of azimuthal wave. The periodic secondary flow contributes to sudden increase in the natural wavelength and rapid reduction in the strength of two counter-rotating Taylor vortices. This in turn leads to a substantial reduction of torque in the transition flow vis-a-vis axisymmetric Taylor-vortex flow.

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Experimental study of expansion and compression effects on the stability of Taylor vortex flow

2016

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The aim of the present experimental work is to determine the stability limits of Taylor cells by expanding and compressing the cells. The investigation was performed under laminar flow condition with a wide gap between an inner rotating cylinder and outer stationary cylinder. In order to allow the expansion and compression of the cells, the test rig was designed with a sliding upper end plate and a fixed lower end plate. The objectives are to determine the maximum and minimum size limits of each number of cells as well as the stability margin of them. Since, unstable cells have various oscillations and time dependent structures which change the behavior of the flow; the investigations of the stability limits is quite necessary to avoid the possible generation of unstable cells. In addition, the results are used to detect the number of cells that can be generated in the gap at different fluid column lengths. A stability map, locating the stability state of all possible numbers of cells, is assigned in the results. The map provides overlap zones between stable cells, in which the operating conditions will always lead to stable cells, even if the number of cells is changed by changing the initial conditions. Moreover, a rare phenomenon was observed during the compression process when the cells jumps unusually from six to two cells without passing through the fourcell mode.

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Dynamics of axially localized states in Taylor-Couette flows

Cited by 3 publications

References 53 publications

Routes to turbulence in Taylor–Couette flow

Routes to turbulence in Taylor–Couette flow

Numerical study on wide gap Taylor Couette flow with flow transition

Experimental study of expansion and compression effects on the stability of Taylor vortex flow

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