scholarly journals Transition to turbulence in Taylor-Couette ferrofluidic flow

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Sebastian Altmeyer ◽  
Younghae Do ◽  
Ying-Cheng Lai
Keyword(s):  
Transition To Turbulence ◽  
Taylor Couette

scholarly journals A novel subcritical transition to turbulence in Taylor–Couette flow with counter-rotating cylinders

2020 ◽  
Vol 892 ◽  
Author(s):  
Christopher J. Crowley ◽  
Michael C. Krygier ◽  
Daniel Borrero-Echeverry ◽  
Roman O. Grigoriev ◽  
Michael F. Schatz
Keyword(s):  
Couette Flow ◽  
Transition To Turbulence ◽  
Rotating Cylinders ◽  
Taylor Couette ◽  
Image Position ◽  
Taylor Couette Flow

scholarly journals Transient growth in linearly stable Taylor–Couette flows

2014 ◽  
Vol 742 ◽  
pp. 254-290 ◽  
Author(s):  
Simon Maretzke ◽  
Björn Hof ◽  
Marc Avila
Keyword(s):  
Linear Stability ◽  
Reynolds Numbers ◽  
Transition To Turbulence ◽  
Transient Growth ◽  
Energy Growth ◽  
Transient Energy ◽  
Taylor Couette ◽  
Semi Empirical ◽  
Essential Prerequisite ◽  
Cylinder Rotation

AbstractNon-normal transient growth of disturbances is considered as an essential prerequisite for subcritical transition in shear flows, i.e. transition to turbulence despite linear stability of the laminar flow. In this work we present numerical and analytical computations of linear transient growth covering all linearly stable regimes of Taylor–Couette flow. Our numerical experiments reveal comparable energy amplifications in the different regimes. For high shear Reynolds numbers$\mathit{Re}$, the optimal transient energy growth always follows a$\mathit{Re}^{2/3}$scaling, which allows for large amplifications even in regimes where the presence of turbulence remains debated. In co-rotating Rayleigh-stable flows, the optimal perturbations become increasingly columnar in their structure, as the optimal axial wavenumber goes to zero. In this limit of axially invariant perturbations, we show that linear stability and transient growth are independent of the cylinder rotation ratio and we derive a universal$\mathit{Re}^{2/3}$scaling of optimal energy growth using Wentzel–Kramers–Brillouin theory. Based on this, a semi-empirical formula for the estimation of linear transient growth valid in all regimes is obtained.

Frequency Analysis of Chaotic Flow in Transition to Turbulence in Taylor Couette System of Low Aspect Ratio

2016 ◽  
Vol 2016 (0) ◽  
pp. 0508
Author(s):  
Kouhei TAKASE ◽  
Yoshihiko OISHI ◽  
Hideki KAWAI ◽  
Hiroshige KIKURA ◽  
Hideki MURAKAWA
Keyword(s):  
Aspect Ratio ◽  
Frequency Analysis ◽  
Transition To Turbulence ◽  
Chaotic Flow ◽  
Low Aspect Ratio ◽  
Taylor Couette

Visualization study of Taylor-Couette flow - A description of the transition to turbulence

1996 ◽  
Author(s):  
M. Biage ◽  
Scott Harris ◽  
Scott Harris ◽  
W. Lempert ◽  
A. Smits
Keyword(s):  
Couette Flow ◽  
Transition To Turbulence ◽  
Taylor Couette ◽  
Taylor Couette Flow
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