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Wake transitions behind a streamwise rotating disk

Published online by Cambridge University Press:  09 December 2022

Danxue Ouyang ,
Xinliang Tian Open the ORCID record for Xinliang Tian [Opens in a new window] ,
Yakun Zhao ,
Binrong Wen ,
Xin Li ,
Jun Li ,
Tao Peng  and
Zhike Peng
Danxue Ouyang
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
Xinliang Tian*
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China SJTU Sanya Yazhou Bay Institute of Deepsea Sci-Tech, Sanya 572000, PR China
Yakun Zhao
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China SJTU Sanya Yazhou Bay Institute of Deepsea Sci-Tech, Sanya 572000, PR China
Binrong Wen
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China SJTU Sanya Yazhou Bay Institute of Deepsea Sci-Tech, Sanya 572000, PR China
Xin Li
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China SJTU Sanya Yazhou Bay Institute of Deepsea Sci-Tech, Sanya 572000, PR China
Jun Li
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
Tao Peng
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
Zhike Peng
Affiliation:
State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, PR China School of Mechanical Engineering, Ningxia University, Ningxia 750021, PR China
*
†Email address for correspondence: tianxinliang@sjtu.edu.cn
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Abstract

Direct numerical simulations are performed to investigate the wake transitions of the flow normal to a circular rotating disk. The diameter-thickness aspect ratio of the disk is $\chi =50$. The Reynolds number of the free stream is defined as $Re_s=U_\infty D/\nu$, with incoming flow velocity $U_\infty$, disk diameter $D$, and kinematic viscosity of the fluid $\nu$. The rotational motion of the disk is described by the Reynolds number of rotation $Re_r=\varOmega Re_s$, with non-dimensional rotation rate $\varOmega =\frac {1}{2}\omega D/U_\infty$, where $\omega$ is the angular rotation speed of the disk. Extensive numerical simulations are performed in the parameter space $50 \leqslant Re_s \leqslant 250$ and $0 \leqslant Re_r \leqslant 250$, in which six flow regimes are identified as follows: the axisymmetric state, the low-speed steady rotation (LSR) state, the high-speed steady rotation (HSR) state, the low-speed unsteady rotation (LUR) state, the rotational vortex shedding state, and the chaotic state. Although plane symmetry exists in the wake when the disk is stationary, a small rotation will immediately destroy its symmetry. However, the vortex shedding frequencies and wake patterns of the stationary disk are inherited by the unsteady rotating cases at low $Re_r$. A flow rotation rate jump is observed at $Re_s\approx 125$. The LUR state is intermediate between the LSR and HSR states. Due to the rotational motion, the wake of the disk enters the steady rotation state earlier at large $Re_r$, and is delayed into the vortex shedding state in the whole range of $Re_r$. In the steady rotation states (LSR and HSR), the steady flow rotation rate is linearly correlated with the disk rotation rate. It is found that the rotation of the disk can restrain the vortex shedding. The chaotic state can be regularized by the medium rotation speed of the disk.

JFM classification

Vortex Flows: Vortex instability Instability: Transition to turbulence Wakes/Jets: Separated flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 953 , 25 December 2022 , A24
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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