Taylor Vortices with Eccentric Rotating Cylinders

Nature ◽  
1967 ◽  
Vol 216 (5121) ◽  
pp. 1200-1202 ◽  
Author(s):  
J. A. COLE
Keyword(s):  
Rotating Cylinders ◽  
Taylor Vortices

Visual Observations and Torque Measurements in the Taylor Vortex Regime Between Eccentric Rotating Cylinders

1971 ◽  
Vol 93 (1) ◽  
pp. 121-129 ◽  
Author(s):  
P. Castle ◽  
F. R. Mobbs ◽  
P. H. Markho
Keyword(s):  
Outer Cylinder ◽  
Taylor Vortex ◽  
Rotating Cylinders ◽  
Taylor Vortices ◽  
Torque Measurements ◽  
Good Agreement ◽  
Visual Observations

The instability of Taylor vortices in the flow between a stationary outer cylinder and an eccentric rotating inner cylinder has been investigated by visual observations and by torque measurements. It is shown that both a “weak” and “strong” wavy mode of instability can be detected by torque measurements, giving critical Taylor numbers in good agreement with visual observations.

Taylor Vortices with Eccentric Rotating Cylinders

Nature ◽  
1969 ◽  
Vol 221 (5177) ◽  
pp. 253-254 ◽  
Author(s):  
J. A. COLE
Keyword(s):  
Rotating Cylinders ◽  
Taylor Vortices

Taylor Vortices With Short Rotating Cylinders

1974 ◽  
Vol 96 (1) ◽  
pp. 69-70 ◽  
Author(s):  
J. A. Cole
Keyword(s):  
Vortex Formation ◽  
Vortex Pair ◽  
Taylor Vortex ◽  
Rotating Cylinders ◽  
Taylor Vortices ◽  
Vortex Size ◽  
Annular Clearance

Observations of Taylor vortex formation in a short annular clearance show that the final vortex size varies discontinuously with annulus length, ranging from 75 to 115 percent of the theoretical size, and is apparently determined as vortices spread axially inwards from the ends of the annulus by the minimum survival size of the last-formed vortex pair.

G404 Control of Taylor Vortices Generated between Eccentric Rotating Cylinders(1)

2006 ◽  
Vol 2006 (0) ◽  
pp. _G404-a_
Author(s):  
Kazunori TSUJII ◽  
Naoyuki TAZAWA ◽  
Yutaka OHTA
Keyword(s):  
Rotating Cylinders ◽  
Taylor Vortices

Harmonic generation in Taylor vortices between rotating cylinders

1966 ◽  
Vol 26 (3) ◽  
pp. 545-562 ◽  
Author(s):  
H. A. Snyder ◽  
R. B. Lambert
Keyword(s):  
Velocity Field ◽  
Secondary Flow ◽  
Harmonic Generation ◽  
Axial Direction ◽  
Critical Value ◽  
Finite Amplitude ◽  
Rotating Cylinders ◽  
Taylor Vortices ◽  
Spatial Periodicity ◽  
Generation Of Harmonics

A theory of finite-amplitude secondary flow between concentric rotating cylinders has been published by Davey (1962). A necessary feature of the theory is the generation of harmonics of the spatial periodicity in the axial direction of the velocity field. A method has been devised to measure the amplitude of each harmonic separately and experimental results for the fundamental and first three harmonics are presented here for Taylor numbers up to 100 times the critical value. The agreement with Davey's theory is excellent, and the agreement extends far beyond the range where the theory is expected to be valid. It is shown that all the harmonics are in phase with the fundamental. This result requires that jets and shock-like structure must be present in the velocity field.

scholarly journals Nonlinear Taylor vortices and their stability

1981 ◽  
Vol 102 ◽  
pp. 249-261 ◽  
Author(s):  
C. A. Jones
Keyword(s):  
Numerical Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Rotating Cylinders ◽  
Navier Stokes Equations ◽  
Taylor Vortices ◽  
The Stability ◽  
Axisymmetric Perturbations

Axisymmetric numerical solutions of the Navier–Stokes equations for flow between rotating cylinders are obtained. The stability of these solutions to non-axisymmetric perturbations is considered and the results of these calculations are compared with recent experiments.

Flow regimes in a circular Couette system with independently rotating cylinders

1986 ◽  
Vol 164 ◽  
pp. 155-183 ◽  
Author(s):  
C. David Andereck ◽  
S. S. Liu ◽  
Harry L. Swinney
Keyword(s):  
Large Scale ◽  
Travelling Waves ◽  
Outer Cylinder ◽  
Reynolds Numbers ◽  
Spectral Studies ◽  
Rotating Cylinders ◽  
Taylor Vortices ◽  
Aspect Ratios ◽  
Numerical Studies ◽  
Flow States

Our flow-visualization and spectral studies of flow between concentric independently rotating cylinders have revealed a surprisingly large variety of different flow states. (The system studied has radius ratio 0.883, aspect ratios ranging from 20 to 48, and the end boundaries were attached to the outer cylinder.) Different states were distinguished by their symmetry under rotation and reflection, by their azimuthal and axial wavenumbers, and by the rotation frequencies of the azimuthal travelling waves. Transitions between states were determined as functions of the inner- and outer-cylinder Reynolds numbers, Ri and Ro, respectively. The transitions were located by fixing Ro and slowly increasing Ri. Observed states include Taylor vortices, wavy vortices, modulated wavy vortices, vortices with wavy outflow boundaries, vortices with wavy inflow boundaries, vortices with flat boundaries and internal waves (twists), laminar spirals, interpenetrating spirals, waves on interpenetrating spirals, spiral turbulence, a flow with intermittent turbulent spots, turbulent Taylor vortices, a turbulent flow with no large-scale features, and various combinations of these flows. Some of these flow states have not been previously described, and even for those states that were previously described the present work provides the first coherent characterization of the states and the transitions between them. These flow states are all stable to small perturbations, and the transition boundaries between the states are reproducible. These observations can serve as a challenge and test for future analytic and numerical studies, and the map of the transitions provides several possible codimension-2 bifurcations that warrant further study.

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