Journal ArticleDOI
Modes of instability in spiral flow between rotating cylinders
TLDR
In this paper, an experimental investigation of the stability of spiral flow between rotating cylinders with respect to axisymmetric and nonaxismmetric disturbances was carried out, and the effect of small axial flow upon all of the modes was detected by observing visually characteristic ink patterns in the fluid.Abstract:
: This paper gives the results of an experimental investigation of the stability of spiral flow between rotating cylinders with respect to axisymmetric and nonaxisymmetric disturbances. Various modes of instability were detected by observing visually characteristic ink patterns in the fluid. The effect of small axial flow upon all of the modes was to give an approximately parabolic dependence of the critical Taylor number on the axial flow rate. In the case of an axisymmetric mode, agreement with the theory of Krueger and Di Prima (1964) was found to be excellent.read more
Citations
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Journal ArticleDOI
Dynamical instabilities and the transition to chaotic Taylor vortex flow
TL;DR: In this paper, the authors used the technique of laser-Doppler velocimetry to study the transition to turbulence in a fluid contained between concentric cylinders with the inner cylinder rotating.
Book ChapterDOI
Instabilities and transition in flow between concentric rotating cylinders
R. C. Di Prima,Harry L. Swinney +1 more
Journal ArticleDOI
On the instability of Taylor vortices
TL;DR: In this paper, it was shown that the Taylor-vortex flow is stable against perturbations with the same axial wavelength and phase, but unstable with perturbation differing in phase by ½π.
Journal ArticleDOI
Spatio-temporal character of non-wavy and wavy Taylor–Couette flow
TL;DR: In this paper, the axial and radial velocities in a meridional plane for non-wavy and wavy Taylor-Couette flow in the annulus between a rotating inner cylinder and a fixed outer cylinder with fixed end conditions were measured.
Journal ArticleDOI
Stability of axial flow in an annulus with a rotating inner cylinder
TL;DR: In this paper, a wide range of flow regimes of toroidal vortices were identified, including Taylor Vortices, random wavy vortice, modulated wavy Vectors, turbulent modulated WAVV, turbulent wavyVectors and turbulent vectors with positive and negative helix angles.
References
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Journal ArticleDOI
The stability of a viscous fluid between rotating cylinders with an axial flow
TL;DR: In this article, the stability of a viscous fluid between two concentric rotating cylinders with an axial flow was investigated and the critical Taylor number was computed for small Reynolds number associated with the flow.
Journal ArticleDOI
Experiments on the Stability of Viscous Flow Between Rotating Cylinders. II. Visual Observations
Russell J. Donnelly,Dave Fultz +1 more
TL;DR: In this paper, the hydrodynamic stability of viscous flow between rotating cylinders has been measured with an apparatus similar to that used by Taylor in his original experiments and the ratio of the radii of the cylinders was 1:2.
Journal ArticleDOI
Stability of Nonrotationally Symmetric Disturbances for Inviscid Flow between Rotating Cylinders
E. R. Krueger,R. C. DiPrima +1 more
TL;DR: In this article, the stability of an inviscid fluid between two concentric rotating cylinders to nonrotationally symmetric disturbances is investigated and the limiting form of the disturbance equations for small gap-to-radius ratios is derived.