Comment on “Linear instability of magnetic Taylor-Couette flow with Hall effect”

2005 ◽  
Vol 71 (3) ◽  
Author(s):  
M. Rheinhardt ◽  
U. Geppert
Keyword(s):  
Hall Effect ◽  
Couette Flow ◽  
Linear Instability ◽  
Taylor Couette ◽  
Taylor Couette Flow

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.

scholarly journals Taylor vortices versus Taylor columns

2014 ◽  
Vol 750 ◽  
pp. 1-4 ◽  
Author(s):  
Laurette S. Tuckerman
Keyword(s):  
Couette Flow ◽  
Parameter Space ◽  
Maximum Energy ◽  
Linear Instability ◽  
Transition To Turbulence ◽  
Transient Growth ◽  
Taylor Vortices ◽  
Toroidal Vortices ◽  
Taylor Couette ◽  
Taylor Couette Flow

AbstractTaylor–Couette flow is inevitably associated with the visually appealing toroidal vortices, waves, and spirals that are instigated by linear instability. The linearly stable regimes, however, pose a new challenge: do they undergo transition to turbulence and if so, what is its mechanism? Maretzke et al. (J. Fluid Mech., vol. 742, 2014, pp. 254–290) begin to address this question by determining the transient growth over the entire parameter space. They find that in the quasi-Keplerian regime, the optimal perturbations take the form of Taylor columns and that the maximum energy achieved depends only on the shear.

scholarly journals Catastrophic Phase Inversion in High-Reynolds-Number Turbulent Taylor-Couette Flow

2021 ◽  
Vol 126 (6) ◽  
Author(s):  
Dennis Bakhuis ◽  
Rodrigo Ezeta ◽  
Pim A. Bullee ◽  
Alvaro Marin ◽  
Detlef Lohse ◽  
...  
Keyword(s):  
Reynolds Number ◽  
Couette Flow ◽  
Phase Inversion ◽  
High Reynolds Number ◽  
Taylor Couette ◽  
High Reynolds ◽  
Taylor Couette Flow

scholarly journals Effect of roll number on the statistics of turbulent Taylor-Couette flow

2016 ◽  
Vol 1 (5) ◽  
Author(s):  
Rodolfo Ostilla-Mónico ◽  
Detlef Lohse ◽  
Roberto Verzicco
Keyword(s):  
Couette Flow ◽  
Taylor Couette ◽  
Taylor Couette Flow
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