Hysteresis behavior in spanwise rotating plane Couette flow with varying rotation rates

2019 ◽  
Vol 4 (5) ◽  
Author(s):  
Yuhan Huang ◽  
Zhenhua Xia ◽  
Minping Wan ◽  
Yipeng Shi ◽  
Shiyi Chen
Keyword(s):  
Couette Flow ◽  
Plane Couette Flow ◽  
Hysteresis Behavior ◽  
Rotation Rates

Experiments in rotating plane Couette flow – momentum transport by coherent roll-cell structure and zero-absolute-vorticity state

2016 ◽  
Vol 791 ◽  
pp. 191-213 ◽  
Author(s):  
Takuya Kawata ◽  
P. Henrik Alfredsson
Keyword(s):  
Shear Stress ◽  
Secondary Flow ◽  
Couette Flow ◽  
Cell Structure ◽  
Normal Direction ◽  
Momentum Transport ◽  
Plane Couette Flow ◽  
Absolute Vorticity ◽  
Rotation Rates ◽  
Cell Structures

In spanwise rotating plane Couette flow (RPCF) a secondary flow dominated by three-dimensional roll-cell structures develops. At high enough rotation rates the flow exhibits a state of zero absolute vorticity at the centre of the channel, as described by Suryadi et al. (Phys. Rev. E, vol. 89, 2014, 033003). They suggested that the zero-absolute-vorticity state is caused by the secondary flow motion of the coherent roll-cell structure induced by the Coriolis force. In the present study we focus on the momentum transport caused by the roll-cell structure of laminar RPCF in order to further understand how the zero-absolute-vorticity state is maintained by the coherent roll cells. The flow is studied through stereoscopic particle image velocimetry measurements, which allow both the Reynolds shear stress and the wall shear stress to be quantified and used as measures of the momentum transport across the channel. Various types of roll-cell structures at different system rotation rates and the momentum transport induced by them are investigated, and the processes in which the momentum is transported in the wall-normal direction are discussed based on a displaced-particle argument as well as the production of the Reynolds stresses. It is shown that the wall-normal fluid motion driven by secondary flow of the roll-cell structure induces two different effects on the mean flow which conflict each other, the momentum transport in the wall-normal direction and the Coriolis acceleration, and the zero-absolute-vorticity state is a stable state where these two effects cancel each other.

DNS OF TURBULENT HEAT TRANSFER IN PLANE COUETTE FLOW

Equipment ◽  
2006 ◽  
Author(s):  
S. Hane ◽  
T. Tsukahara ◽  
K. Iwamoto ◽  
H. Kawamura
Keyword(s):  
Heat Transfer ◽  
Couette Flow ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Plane Couette Flow

Cyclic generation of wall slip at the exit of plane Couette flow

2003 ◽  
Vol 47 (3) ◽  
pp. 737-757 ◽  
Author(s):  
Hiroshi Mizunuma ◽  
Hideyuki Takagi
Keyword(s):  
Couette Flow ◽  
Wall Slip ◽  
Plane Couette Flow

Tertiary solutions and their stability in rotating plane Couette flow

1998 ◽  
Vol 358 ◽  
pp. 357-378 ◽  
Author(s):  
M. NAGATA
Keyword(s):  
Reynolds Number ◽  
Couette Flow ◽  
Stability Boundary ◽  
Streamwise Vortex ◽  
Reynolds Numbers ◽  
Time Dependent ◽  
Plane Couette Flow ◽  
Streamwise Direction ◽  
The Stability ◽  
Oscillatory Instabilities

The stability of nonlinear tertiary solutions in rotating plane Couette flow is examined numerically. It is found that the tertiary flows, which bifurcate from two-dimensional streamwise vortex flows, are stable within a certain range of the rotation rate when the Reynolds number is relatively small. The stability boundary is determined by perturbations which are subharmonic in the streamwise direction. As the Reynolds number is increased, the rotation range for the stable tertiary motions is destroyed gradually by oscillatory instabilities. We expect that the tertiary flow is overtaken by time-dependent motions for large Reynolds numbers. The results are compared with the recent experimental observation by Tillmark & Alfredsson (1996).

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