Effects of the computational domain on the secondary flow in turbulent plane Couette flow

doi:10.1088/1674-1056/24/10/104701

中国物理B ›› 2015, Vol. 24 ›› Issue (10): 104701-104701.doi: 10.1088/1674-1056/24/10/104701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Effects of the computational domain on the secondary flow in turbulent plane Couette flow

盖杰^a, 夏振华^{a b}, 蔡庆东^a

a State Key Laboratory of Turbulence and Complex Systems, Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, China;
b Department of Aeronautics and Astronautics, College of Engineering, Peking University, Beijing 100871, China

收稿日期:2015-01-19 修回日期:2015-04-19 出版日期:2015-10-05 发布日期:2015-10-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11221061, 11272013, and 11302006).

Effects of the computational domain on the secondary flow in turbulent plane Couette flow

Gai Jie (盖杰)^a, Xia Zhen-Hua (夏振华)^{a b}, Cai Qing-Dong (蔡庆东)^a

a State Key Laboratory of Turbulence and Complex Systems, Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, China;
b Department of Aeronautics and Astronautics, College of Engineering, Peking University, Beijing 100871, China

Received:2015-01-19 Revised:2015-04-19 Online:2015-10-05 Published:2015-10-05
Contact: Xia Zhen-Hua, Cai Qing-Dong E-mail:xiazh1006@gmail.com;caiqd@pku.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11221061, 11272013, and 11302006).

摘要/Abstract

摘要： A series of direct numerical simulations of the fully developed plane Couette flow at a Reynolds number of 6000 (based on the relative wall speed and half the channel height h) with different streamwise and spanwise lengths are conducted to investigate the effects of the computational box sizes on the secondary flow (SF). Our focuses are the number of counter-rotating vortex pairs and its relationship to the statistics of the mean flow and the SF in the small and moderate computational box sizes. Our results show that the number of vortex pairs is sensitive to the computational box size, and so are the slope parameter, the rate of the turbulent kinetic energy contributed by the SF, and the ratio of the kinetic energy of the SF to the total kinetic energy. However, the averaged spanwise width of each counter-rotating vortex pair in the plane Couette flow is found, for the first time, within 4(1±0.25)h despite the domain sizes.

关键词: plane Couette flow, the secondary flow, large-scale structures, vortex pair

Abstract: A series of direct numerical simulations of the fully developed plane Couette flow at a Reynolds number of 6000 (based on the relative wall speed and half the channel height h) with different streamwise and spanwise lengths are conducted to investigate the effects of the computational box sizes on the secondary flow (SF). Our focuses are the number of counter-rotating vortex pairs and its relationship to the statistics of the mean flow and the SF in the small and moderate computational box sizes. Our results show that the number of vortex pairs is sensitive to the computational box size, and so are the slope parameter, the rate of the turbulent kinetic energy contributed by the SF, and the ratio of the kinetic energy of the SF to the total kinetic energy. However, the averaged spanwise width of each counter-rotating vortex pair in the plane Couette flow is found, for the first time, within 4(1±0.25)h despite the domain sizes.

Key words: plane Couette flow, the secondary flow, large-scale structures, vortex pair

中图分类号:

47.27.N-

47.27.ek (Direct numerical simulations)

盖杰, 夏振华, 蔡庆东. Effects of the computational domain on the secondary flow in turbulent plane Couette flow[J]. 中国物理B, 2015, 24(10): 104701-104701.

Gai Jie (盖杰), Xia Zhen-Hua (夏振华), Cai Qing-Dong (蔡庆东). Effects of the computational domain on the secondary flow in turbulent plane Couette flow[J]. Chin. Phys. B, 2015, 24(10): 104701-104701.

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Effects of the computational domain on the secondary flow in turbulent plane Couette flow

Effects of the computational domain on the secondary flow in turbulent plane Couette flow

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