Visual observations and torque measurements in the taylor vortex regime between eccentric rotating cylinders

Wear ◽  
1972 ◽  
Vol 19 (3) ◽  
pp. 367
Keyword(s):  
Taylor Vortex ◽  
Rotating Cylinders ◽  
Torque Measurements ◽  
Visual Observations

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-vortex instability and annulus-length effects

1976 ◽  
Vol 75 (1) ◽  
pp. 1-15 ◽  
Author(s):  
J. A. Cole
Keyword(s):  
Critical Speed ◽  
Taylor Vortex ◽  
Vortex Instability ◽  
Critical Speeds ◽  
Taylor Vortices ◽  
Torque Measurements ◽  
Concentric Cylinders ◽  
Theoretical Predictions ◽  
Range Of Values ◽  
Visual Observations

Critical speeds for the onset of Taylor vortices and for the later development of wavy vortices have been determined from torque measurements and visual observations on concentric cylinders of radius ratios R1/R2 = 0·894–0·954 for a range of values of the clearance c and length L: c/R1 = 0·0478–0·119 and L/c = 1–107. Effectively zero variation of the Taylor critical speed with annulus length was observed. The speed at the onset of wavy vortices was found to increase considerably as the annulus length was reduced and theoretical predictions are realistic only for L/c values exceeding say 40. The results were similar for all four clearance ratios examined. Preliminary measurements on eccentrically positioned cylinders with c/R1 = 0·119 showed corresponding effects.

An Experimental Study of Taylor Vortices and Turbulence in Flow Between Eccentric Rotating Cylinders

1968 ◽  
Vol 90 (1) ◽  
pp. 285-296 ◽  
Author(s):  
J. H. Vohr
Keyword(s):  
Experimental Study ◽  
Turbulent Flow ◽  
Friction Factor ◽  
Experimental Work ◽  
Reynolds Numbers ◽  
Taylor Vortex ◽  
Rotating Cylinders ◽  
Taylor Vortices ◽  
Torque Measurements ◽  
Factor Data

The critical speeds for onset of Taylor vortices inflow between eccentric rotating cylinders are determined by means of torque measurements for various eccentricity ratios and clearance ratios of the cylinders. Results are compared with the theoretical and experimental work of other investigators. Visual studies are made of the flow in both the Taylor vortex and turbulent flow regimes. Friction factor data are obtained for Reynolds numbers up to 40,000.

Experiments on the stability of viscous flow between rotating cylinders - IV. The ion technique

1965 ◽  
Vol 283 (1395) ◽  
pp. 509-519 ◽  
Keyword(s):  
Carbon Tetrachloride ◽  
Viscous Flow ◽  
Radial Component ◽  
Taylor Vortex ◽  
Rotating Cylinders ◽  
Current Passing ◽  
The Stability

The development of an instrument which responds to the radial component of a Taylor vortex is described. The method is to measure the current passing through the vortex in a fluid of low conductivity, such as carbon tetrachloride. Experiments performed to check the usefulness of the technique are reported.

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.

scholarly journals Fluid friction between rotating cylinders I—Torque measurements

1936 ◽  
Vol 157 (892) ◽  
pp. 546-564 ◽  
Keyword(s):  
Reynolds Number ◽  
Turbulent Flow ◽  
Centrifugal Force ◽  
Outer Cylinder ◽  
Reynolds Numbers ◽  
Stream Line ◽  
Rotating Cylinders ◽  
Torque Measurements ◽  
Critical Reynolds Numbers ◽  
The Stability

The stability of fluid contained between concentric rotating cylinders has been investigated and it has been shown that, when only the inner cylinder rotates, the flow becomes unstable when a certain Reynolds number of the flow is exceeded. When the outer cylinder only is rotated, the flow is stable so far as disturbances of the type produced in the former case are concerned, but provided the Reynolds number of the flow exceeds a certain value, turbulence sets in. The object of the present experiments was partly to measure the torque reaction between two cylinders in the two cases in order to find the effect of centrifugal force on the turbulence, and partly to find the critical Reynolds numbers for the transition from stream-line to turbulent flow. The apparatus is shown diagrammatically in fig. 1.

LOWEST STABILITY BOUNDARY ON FLOW OF CONCENTRIC ROTATING CYLINDERS

2010 ◽  
Vol 20 (05) ◽  
pp. 1527-1532
Author(s):  
H. C. LIN ◽  
W. M. YANG
Keyword(s):  
Vortex Flow ◽  
Stability Boundary ◽  
Radius Ratio ◽  
Taylor Vortex ◽  
Rotating Cylinders ◽  
Instability Analysis ◽  
Taylor Vortex Flow ◽  
Instability Boundary

In this study, we numerically investigate the lowest instability boundary of nonaxisymmetric Taylor vortex flow (TVF) for different axial wavenumbers. The variation in the axial wavenumber of a supercritical TVF can affect the instability of the flow, because the wavelength of a Taylor vortex is constant only when the flow is axisymmetrical. When the nonaxisymmetric TVF is transformed to a wavy vortex flow (WVF), the instability boundary is changed with the variation in the axial wavenumber. We carry out an instability analysis of the nonaxisymmetric TVF between two concentric rotating cylinders, which have a radius ratio of 0.88.

Wavy vortices in the flow between two long eccentric rotating cylinders II. Nonlinear theory

1977 ◽  
Vol 354 (1679) ◽  
pp. 459-489 ◽  
Keyword(s):  
Experimental Data ◽  
Nonlinear Stability ◽  
Nonlinear Theory ◽  
Stability Problem ◽  
Critical Value ◽  
Taylor Number ◽  
Taylor Vortex ◽  
Rotating Cylinders ◽  
Parameter Expansion ◽  
Theoretical Results

.In this paper we are confronted with a nonlinear stability problem of the flow between two long eccentric rotating cylinders. We make an extension of part I, including an analysis of the influence exerted by a nonlinear Taylor vortex mode with amplitude BØ) on the result of part I. The problem, which is of interest in lubrication technology, can be seen as an extension of the paper of Davey, Di Prima & Stuart (1968), where a similar problem has been treated for the concentric case. We define a new parameter y = T — T c (0, e) ^ eT 1 which is the amount by which the Taylor number T exceeds its critical value, T c (O e ) (proportional to the square of the speed of the inner cylinder), with e the eccentricity. The problem is solved by using a double parameter expansion, first the expansion in y 1/2 from y° to the y order on the equations and afterwards the expansion in e from e° to e 2 in certain integrals. A formula for the critical Taylor number is obtained. Qualitative and consistent agreement is obtained with the experimental data of Vohr for the occurrence of wavy instability, though the theoretical results are a little lower, due perhaps to the small-gap assumption and the absence of the quintic terms in the nonlinear expansion.

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