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 2 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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New Laboratory Experiments to Study the Large-Scale Circulation and Climate Dynamics

et al. 2023

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The large-scale flows of the oceans and the atmosphere are driven by a non-uniform surface heating over latitude, and rotation. For many years scientists try to understand these flows by doing laboratory experiments. In the present paper we discuss two rather new laboratory experiments designed to study certain aspects of the atmospheric circulation. One of the experiments, the differentially heated rotating annulus at the Brandenburg University of Technology (BTU) Cottbus, has a cooled inner cylinder and a heated outer wall. However, the structure of the atmospheric meridional circulation motivates a variation of this “classical” design. In the second experiment described, operational at the Institute of Continuous Media Mechanics (ICMM) in Perm, heating and cooling is performed at different vertical levels that resembles more the atmospheric situation. Recent results of both experiments are presented and discussed. Differences and consistencies are highlighted. Though many issues are still open we conclude that both setups have their merits. The variation with heating and cooling at different levels might be more suited to study processes in the transition zone between pure rotating convection and the zone of westerly winds. On the other hand, the simpler boundary conditions of the BTU experiment make this experiment easier to control.

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

Cited by 2 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

New Laboratory Experiments to Study the Large-Scale Circulation and Climate Dynamics

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