A Guide to Literature Related to the Taylor-Couette Problem

Tagg, Randall

doi:10.1007/978-1-4615-3438-9_32

Cited by 14 publications

(6 citation statements)

References 1,036 publications

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“…Steady and unsteady vortex flows in other modified Couette cell geometries may be found in the literature guide to Taylor-Couette problems by Tagg. 10 Another variant to produce localized steady vortices would be to use two or more immiscible fluids with different densities and viscosities such that one fluid undergoes centrifugal instability before the others as the inner cylinder of fixed radius is ramped up in speed. Indeed, the Taylor-Couette flow of two immiscible liquids is the subject of Sec.…”

Section: Introductionmentioning

confidence: 99%

Tailored Taylor vortices

et al. 2008

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The stability of circular Couette flow in discontinuous axisymmetric geometries is investigated using numerical simulations and physical experiments. By contouring the geometry of the inner cylinder, Taylor vortices can be made to appear in discrete sections along the length of the cylinder while adjoining sections remain stable. The disparate flows are connected by transition regions that arise from the stability of the axially nonuniform base flow state. The geometry of the inner cylinder can be tailored to produce the simultaneous onset of Taylor vortices of different wavelength in neighboring sections. In another variant, a stack of inner cylinders of common radius are made to rotate independently to produce adjacent regions of stable and unstable flow.

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Section: Introductionmentioning

confidence: 99%

Tailored Taylor vortices

et al. 2008

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“…A. Al-Mubaiyedh, R. Sureshkumar and B. Khomami Langford 1988;Demay, Iooss & Laure 1992;Jones 1982;Moser, Moin & Leonard 1983;Marcus 1984a, b;Fasel & Booz 1984;Liao, Jane & Young 1999). A summary of the most important advances in this area is provided by Tagg (1992).…”

Section: Introductionmentioning

confidence: 99%

The effect of viscous heating on the stability of Taylor–Couette flow

Al-Mubaiyedh

Sureshkumar²,

Khomami³

2002

J. Fluid Mech.

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The influence of viscous heating on the stability of Taylor–Couette flow is investigated theoretically. Based on a linear stability analysis it is shown that viscous heating leads to significant destabilization of the Taylor–Couette flow. Specifically, it is shown that in the presence of viscous dissipation the most dangerous disturbances are axisymmetric and that the temporal characteristic of the secondary flow is very sensitive to the thermal boundary conditions. If the temperature difference between the two cylinders is small, the secondary flow is stationary as in the case of isothermal Taylor–Couette flow. However, when the temperature difference between the two cylinders is large, time-dependent secondary states are predicted. These linear stability predictions are in agreement with the experimental observations of White & Muller (2000) in terms of onset conditions as well as the spatiotemporal characteristics of the secondary flow. Nonlinear stability analysis has revealed that over a broad range of operating conditions, the bifurcation to the time-dependent secondary state is subcritical, while stationary states result as a consequence of supercritical bifurcation. Moreover, the supercritically bifurcated stationary state undergoes a secondary bifurcation to a time-dependent flow. Overall, the structure of the time-dependent state predicted by the analysis compares very well with the experimental observations of White & Muller (2000) that correspond to slowly moving vortices parallel to the cylinder axis. The significant destabilization observed in the presence of viscous heating arises as the result of the coupling of the perturbation velocity and the base-state temperature gradient that gives rise to fluctuations in the radial temperature distribution. Due to the thermal sensitivity of the fluid these fluctuations greatly modify the fluid viscosity and reduce the dissipation of disturbances provided by the viscous stress terms in the momentum equation.

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“…On the other hand, these two examples were contradicted by the so-called Couette flow [18][19][20] . The Couette flow experiment consisted of two cylinders: an outer rotating one and an inner fixed one.…”

Section: Preliminaries a Superfluid Heliummentioning

confidence: 99%

Quantum turbulence in Bose–Einstein condensates: Present status and new challenges ahead

Madeira

Cidrim

Hemmerling

et al. 2020

AVS Quantum Science

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The field of quantum turbulence is related to the manifestation of turbulence in quantum fluids, such as liquid helium and ultracold gases. The concept of turbulence in quantum systems was conceived more than 70 years ago by Onsager and Feynman, but the study of turbulent ultracold gases is very recent. Although it is a young field, it already provides new approaches to the problem of turbulence. We review the advances and present status, of both theory and experiments, concerning atomic Bose-Einstein condensates (BECs). We present the difficulties of characterizing turbulence in trapped BECs, if compared to classical turbulence or turbulence in liquid helium. We summarize the challenges ahead, mostly related to the understanding of fundamental properties of quantum turbulence, including what is being done to investigate them.

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A Guide to Literature Related to the Taylor-Couette Problem

Cited by 14 publications

References 1,036 publications

Tailored Taylor vortices

Tailored Taylor vortices

The effect of viscous heating on the stability of Taylor–Couette flow

Quantum turbulence in Bose–Einstein condensates: Present status and new challenges ahead

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