Nonlinear Taylor–Couette flow of helium II

1995 ◽  
Vol 283 ◽  
pp. 329-340 ◽  
Author(s):  
Karen L. Henderson ◽  
Carlo F. Barenghi ◽  
Chris A. Jones
Keyword(s):  
Couette Flow ◽  
Equations Of Motion ◽  
Experimental Results ◽  
Second Sound ◽  
Helium Ii ◽  
Vortex Lines ◽  
Taylor Couette ◽  
First Time ◽  
Two Fluid ◽  
Taylor Couette Flow

We solve the nonlinear two-fluid Hall–Vinen–Bekharevich–Khalatnikov equations of motion of helium II for the first time and investigate the configuration of quantized vortex lines in Taylor–Couette flow. The results are interpreted in terms of quantities which can be observed by measuring the attenuation of second sound. Comparison is made with existing experimental results.

Instability of Taylor-Couette flow of helium II

1991 ◽  
Vol 67 (12) ◽  
pp. 1578-1581 ◽  
Author(s):  
Chris J. Swanson ◽  
Russell J. Donnelly
Keyword(s):  
Couette Flow ◽  
Helium Ii ◽  
Taylor Couette ◽  
Taylor Couette Flow

Axisymmetric propagating vortices in centrifugally stable Taylor–Couette flow

2013 ◽  
Vol 728 ◽  
pp. 458-470 ◽  
Author(s):  
C. Hoffmann ◽  
S. Altmeyer ◽  
M. Heise ◽  
J. Abshagen ◽  
G. Pfister
Keyword(s):  
Hopf Bifurcation ◽  
Shear Flow ◽  
Couette Flow ◽  
Instability Threshold ◽  
Experimental Results ◽  
Centrifugal Instability ◽  
Taylor Couette ◽  
Steady Vortices ◽  
Ekman Cells ◽  
Taylor Couette Flow

AbstractWe present numerical as well as experimental results of axisymmetric, axially propagating vortices appearing in counter-rotating Taylor–Couette flow below the centrifugal instability threshold of circular Couette flow without additional externally imposed forces. These propagating vortices are periodically generated by the shear flow near the Ekman cells that are induced by the non-rotating end walls. These axisymmetric vortices propagate into the bulk towards mid-height, where they get annihilated by rotating, non-propagating defects. These propagating structures appear via a supercritical Hopf bifurcation from axisymmetric, steady vortices, which have been discovered recently in centrifugally stable counter-rotating Taylor–Couette flow (Abshagen et al., Phys. Fluids, vol. 22, 2010, 021702). In the nonlinear regime of the Hopf bifurcation, contributions of non-axisymmetric modes also appear.

Linear instability of two-fluid Taylor–Couette flow in the presence of surfactant

2010 ◽  
Vol 651 ◽  
pp. 357-385 ◽  
Author(s):  
JIE PENG ◽  
KE-QIN ZHU
Keyword(s):  
Couette Flow ◽  
Surfactant Concentration ◽  
Outer Cylinder ◽  
Linear Instability ◽  
Shear Instability ◽  
Stable Region ◽  
Neutral Curves ◽  
Taylor Couette ◽  
Two Fluid ◽  
Taylor Couette Flow

The effect of an insoluble surfactant on the centrifugal and shear instability of a pair of radially stratified immiscible liquids in the annular gap between concentric two-fluid Taylor–Couette flow is investigated by a normal-mode linear analysis and complementary energy analysis. The interface is assumed to be concentric with the cylinders. The gravitational effects are ignored. Influences of density and viscosity stratification, surface tension, surfactant concentration distribution and Taylor–Couette shearing are considered comprehensively. The instability characteristics due to competition and interaction between various physical instability mechanisms are of principal concern. Neutral curves with upper and lower branches in the Reynolds number (Re1)/axial wavenumber (k) plane are obtained. A window of parameters is identified in which the flow is linearly stable. The Marangoni traction force caused by the gradient of surfactant concentration stabilizes the axisymmetric perturbations but initiates an instability corresponding to non-axisymmetric modes in the presence of basic Couette shearing flow. Co-rotation of the outer cylinder has a stabilizing effect in expanding the stable region, which dwindles in the counter-rotation situation.

Three-Dimensional CFD Simulation of Stratified Two-Fluid Taylor-Couette Flow

2008 ◽  
Vol 84 (3) ◽  
pp. 279-288 ◽  
Author(s):  
Sreepriya Vedantam ◽  
Jyeshtharaj B. Joshi ◽  
Sudhir B. Koganti
Keyword(s):  
Couette Flow ◽  
Cfd Simulation ◽  
Three Dimensional ◽  
Taylor Couette ◽  
Two Fluid ◽  
Taylor Couette Flow

Stress-gradient-induced polymer migration in Taylor–Couette flow

Soft Matter ◽  
2017 ◽  
Vol 13 (35) ◽  
pp. 5942-5949 ◽  
Author(s):  
Elnaz Hajizadeh ◽  
Ronald G. Larson
Keyword(s):  
Couette Flow ◽  
Brownian Dynamics ◽  
Stress Gradient ◽  
Recent Theory ◽  
Taylor Couette ◽  
Dynamics Simulations ◽  
Polymer Migration ◽  
Brownian Dynamics Simulations ◽  
First Time ◽  
Taylor Couette Flow

This work applies our recent theory for stress-gradient-induced migration to Taylor–Couette flow, and has for the first time confirmed the theory using Brownian dynamics simulations.

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