| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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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 |
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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.
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Received: 19 January 2015
Revised: 19 April 2015
Accepted manuscript online:
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PACS:
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47.27.N-
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47.27.ek
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(Direct numerical simulations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11221061, 11272013, and 11302006). |
Corresponding Authors:
Xia Zhen-Hua, Cai Qing-Dong
E-mail: xiazh1006@gmail.com;caiqd@pku.edu.cn
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Cite this article:
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 2015 Chin. Phys. B 24 104701
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