Organized structures in turbulent Taylor-Couette flow

Barcilon, Albert; Brindley, J.

doi:10.1017/s0022112084001427

Cited by 41 publications

(45 citation statements)

References 10 publications

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“…As consequence, the radial profile of the angular momentum L = ωr 2 has to be flat in the bulk flow, which is in good agreement with the findings of previous studies [5,12,13]. Matching of the L-profiles at the separation borders and independence of the momentum transport on the radial coordinate leads to a predicted scaling exponent of α = 5/3 identical to the one for Rayleigh-Bénard flow and the calculations of Barcilon and Brindley [14]. Another prediction for the effective torque scaling was derived by Lathrop et al [15] using a Kolmogorov type argument assuming that the energy dissipation rate is constant in the inertial range and has no length scale dependence.…”

Section: Introductionsupporting

confidence: 89%

Angular momentum transport and flow organization in Taylor-Couette flow at radius ratio of η=0.357

et al. 2019

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We experimentally and numerically investigate the angular momentum transport in turbulent Taylor-Couette flow for independently rotating cylinders at a small radius ratio of η = 0.357 for various shear Reynolds numbers (4.5 × 10 3 ≤ Re S ≤ 1.2 × 10 5 ) and ratios of angular velocitiesmomentum transport in terms of the pseudo-Nusselt number N u ω does not show a pure power law scaling with the forcing Re S and features non-constant effective scaling between 1.3 × 10 4 ≤ Re S ≤ 4 × 10 4 . This transition lies in the classical turbulent regime and is caused by the curvature-dependent limited capacity of the outer cylinder to emit small-scale plumes at a sufficient rate to equalize the angular momentum in the bulk. For counter-rotating cylinders, a maximum in the torque occurs at µ max = −0.123 ± 0.030. The origin of this maximum can be attributed to a strengthening of turbulent Taylor vortices, which is revealed by the flow visualization technique. In addition, different flow states at µ max concerning the wavelength of the large-scale vortices have been detected. The experimental and numerical results for the Nusselt number show a very good agreement.

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Section: Introductionsupporting

confidence: 89%

Angular momentum transport and flow organization in Taylor-Couette flow at radius ratio of η=0.357

et al. 2019

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“…Based on the key assumption of laminar BLs that are marginally stable to the formation of Taylor vortices, a previous marginal stability calculation predicts the scaling exponent α = 5/3 in the limit of large Re S (King et al 1984;Marcus 1984b). The same exponent was calculated by Barcilon & Brindley (1984) by assuming BLs that are marginally stable to Görtler vortices. In this context, a torque scaling exponent α > 5/3 has been linked to a flow with turbulent BLs (Ostilla-Mónico et al 2014b).…”

Section: Boundary-layer Transitionmentioning

confidence: 78%

“…The modelling of mean profiles from a turbulent flow using marginal stability arguments was previously successfully applied to thermal convection (Malkus 1954) and to TC flow with stationary outer cylinder (King et al 1984;Marcus 1984b;Barcilon & Brindley 1984). While we here adopt the modelling arguments of King et al (1984) and Marcus (1984b), some modifications were needed to generalise the marginal stability model to the case of independently rotating cylinders: As a first difference, the present model does not assume a constant angular momentum in the central region, and instead incorporates the small positive angular momentum gradient that was observed in simulations and experiments.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…This description clearly illustrates that instability mechanisms, mean velocity profiles and torques are closely connected. The connection is most explicit in marginal stability theory, initially described for thermal convection (Malkus 1954;Howard 1966), and later extended to channel flow (Malkus 1956(Malkus , 1983Reynolds & Tiederman 1967;Gol'dshtik et al 1970) and TC flow with stationary outer cylinder (King et al 1984;Marcus 1984b;Barcilon & Brindley 1984). We will here present an extension of previous TC studies to the case of independently rotating cylinders, and will focus in particular on the rotation dependence of the torque, with its characteristic non-monotonic behaviour.…”

Section: Introductionmentioning

confidence: 94%

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Marginally stable and turbulent boundary layers in low-curvature Taylor–Couette flow

Brauckmann

Eckhardt

2017

J. Fluid Mech.

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Marginal stability arguments are used to describe the rotation-number dependence of torque in Taylor-Couette (TC) flow for radius ratios η 0.9 and shear Reynolds number Re S = 2 × 10 4 . With an approximate representation of the mean profile by piecewise linear functions, characterized by the boundary-layer thicknesses at the inner and outer cylinder and the angular momentum in the center, profiles and torques are extracted from the requirement that the boundary layers represent marginally stable TC subsystems and that the torque at the inner and outer cylinder coincide. This model then explains the broad shoulder in the torque as a function of rotation number near R Ω ≈ 0.2. For rotation numbers R Ω < 0.07 the TC stability conditions predict boundary layers in which shear Reynolds numbers are very large. Assuming that the TC instability is bypassed by some shear instability, a second maximum in torque appears, in very good agreement with numerical simulations. The results show that, despite the shortcomings of marginal stability theory in other cases, it can explain quantitatively the non-monotonic torque variation with rotation number for both the broad maximum as well as the narrow maximum.

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“…11,14 Eventually, the azimuthal wave also disappears and power spectra are characterized only by the broadband frequency component as the flow becomes turbulent, 11,15 although the Taylor vortices may remain present underneath the fluctuations even at Re values of order 10 4 . Despite the increasing turbulence, coherent structures such as Görtler vortices 16 and herringbone streaks 17 have also been observed at high Re values.…”

Section: Introductionmentioning

confidence: 99%

On the quasiperiodic state in a moderate aspect ratio Taylor–Couette flow

Imomoh¹,

Dusting²,

Balabani³

2010

Physics of Fluids

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The transition pathway leading to chaotic flow in a Taylor-Couette vessel of aspect ratio ␥ = 11.2 and radius ratio = 0.81 with only the inner cylinder rotating has been studied using time-resolved particle image velocimetry. A hitherto unreported sequence of transitions, whereby the flow changes from wavy vortex flow to a quasiperiodic state of high modulation frequency, is identified using spatially resolved spectral analysis. The nature of the modulated wavy vortex flow is detailed using proper orthogonal decomposition, through which it is revealed that the modulation is similar to a fast moving azimuthal wave ͑FMAW͒. In contrast with previous observations of the FMAW at a much higher aspect ratio, the mode appears directly after wavy vortex flow and as a precursor to the CVF regime. The FMAW is also associated with codirectional vorticity fluctuations on each Taylor vortex core that diminish in strength close to the endwalls.

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Organized structures in turbulent Taylor-Couette flow

Cited by 41 publications

References 10 publications

Angular momentum transport and flow organization in Taylor-Couette flow at radius ratio of η=0.357

Angular momentum transport and flow organization in Taylor-Couette flow at radius ratio of η=0.357

Marginally stable and turbulent boundary layers in low-curvature Taylor–Couette flow

On the quasiperiodic state in a moderate aspect ratio Taylor–Couette flow

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