Taylor–Couette and related flows on the centennial of Taylor’s seminal<i>Philosophical Transactions</i>paper: part 2

Hollerbach, Rainer; Lueptow, Richard M.; Serre, Éric

doi:10.1098/rsta.2022.0359

Cited by 6 publications

(1 citation statement)

References 35 publications

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“…The cone rotation destabilises the boundary layer through two types of primary instabilities: centrifugal and cross-flow instabilities. The centrifugal instability relates to the balance between the centripetal force and the radial pressure gradient – inducing counter-rotating vortices on rotating cylinders (Taylor 1923; Hollerbach, Lueptow & Serre 2023), concave walls (Görtler 1954) and rotating cones with relatively small half-apex angle (Kobayashi, Kohama & Kurosawa 1983) in still fluid (Hussain, Stephen & Garrett 2012; Hussain, Garrett & Stephen 2014) and in axial flow (Hussain et al. 2016; Song & Dong 2023; Song, Dong & Zhao 2023).…”

Section: Introductionmentioning

confidence: 99%

Görtler-number-based scaling of boundary-layer transition on rotating cones in axial inflow

Tambe,

Kato,

Hussain

2024

J. Fluid Mech.

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This paper reports on the efficacy of the Görtler number in scaling the laminar-turbulent boundary-layer transition on rotating cones facing axial inflow. Depending on the half-cone angle $\psi$ and axial flow strength, the competing centrifugal and cross-flow instabilities dominate the transition. Traditionally, the flow is evaluated by using two parameters: the local meridional Reynolds number $Re_l$ comparing the inertial versus viscous effects and the local rotational speed ratio $S$ accounting for the boundary-layer skew. We focus on the centrifugal effects, and evaluate the flow fields and reported transition points using Görtler number based on the azimuthal momentum thickness of the similarity solution and local cone radius. The results show that Görtler number alone dominates the late stages of transition (maximum amplification and turbulence onset phases) for a wide range of investigated $S$ and half-cone angle ( $15^{\circ } \leq \psi \leq 50^{\circ }$ ), although the early stage (critical phase) seems to be not determined by the Görtler number alone on the broader cones ( $\psi =30^{\circ }$ and $50^{\circ }$ ) where the primary cross-flow instability dominates the flow. Overall, this indicates that the centrifugal effects play an important role in the boundary-layer transition on rotating cones in axial inflow.

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Section: Introductionmentioning

confidence: 99%

Görtler-number-based scaling of boundary-layer transition on rotating cones in axial inflow

Tambe,

Kato,

Hussain

2024

J. Fluid Mech.

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Time periodic solutions for the 2D Euler equation near Taylor-Couette flow

Castro,

Lear

2024

Calc. Var.

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Okinawa Institute of Science and Technology – Taylor–Couette (OIST-TC): a new experimental set-up to study turbulent Taylor–Couette flow

Butcher,

Barros,

Higashi

et al. 2024

Flow

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We present the Okinawa Institute of Science and Technology – Taylor–Couette set-up (OIST-TC), a new experimental set-up for investigating turbulent Taylor–Couette (TC) flow. The set-up has independently rotating inner and outer cylinders, and can achieve Reynolds numbers up to $10^6$ . Noteworthy aspects of its design include innovative strategies for temperature control and vibration isolation. As part of its flow-measurement instrumentation, we have implemented the first ‘flying hot-wire’ configuration to measure the flow velocity whilst either or both cylinders are rotating. A significant challenge for obtaining reliable measurements from sensors within the inner cylinder is the data distortion resulting from electrical and electromagnetic interference along the signal pathway. Our solution involves internal digitization of sensor data, which provides notable robustness against noise sources. Additionally, we discuss our strategies for efficient operation, outlining custom automation tools that streamline both data processing and operational control. We hope this documentation of the salient features of OIST-TC is useful to researchers engaged in similar experimental studies that delve into the enchanting world of turbulent TC flow.

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Taylor–Couette and related flows on the centennial of Taylor’s seminalPhilosophical Transactionspaper: part 2

Cited by 6 publications

References 35 publications

Görtler-number-based scaling of boundary-layer transition on rotating cones in axial inflow

Görtler-number-based scaling of boundary-layer transition on rotating cones in axial inflow

Time periodic solutions for the 2D Euler equation near Taylor-Couette flow

Okinawa Institute of Science and Technology – Taylor–Couette (OIST-TC): a new experimental set-up to study turbulent Taylor–Couette flow

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