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Dissipation function in turbulent plane Poiseuille and Couette flows subject to spanwise rotations

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Abstract

The dissipation function in turbulent plane Poiseuille flows (PPFs) and plane Couette flows (PCFs) subject to spanwise rotations is analyzed. It is found that, in the PCFs without system rotations, the mean part is constant while the fluctuation part follows a logarithmic law, resulting in a similar logarithmic skin friction law as PPFs. However, if the flow system rotates in the spanwise direction, no obvious dependence on the rotation number can be evaluated. In the PPFs with rotations, the dissipation function shows an increase with the rotation number, while in the PCFs with rotations, when the rotation number increases, the dissipation function first decreases and then increases.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China

    Zhenhua Xia

  2. State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing, 100871, China

    Yipeng Shi & Qingdong Cai

  3. CRRC Changchun Railway Vehicles Co., Ltd., Changchun, 130062, China

    Jie Gai

Authors
  1. Zhenhua Xia
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  2. Yipeng Shi
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  3. Qingdong Cai
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  4. Jie Gai
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Corresponding author

Correspondence to Zhenhua Xia.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11772297 and 11822208)

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Xia, Z., Shi, Y., Cai, Q. et al. Dissipation function in turbulent plane Poiseuille and Couette flows subject to spanwise rotations. Appl. Math. Mech.-Engl. Ed. 40, 185–192 (2019). https://doi.org/10.1007/s10483-019-2422-6

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  • DOI: https://doi.org/10.1007/s10483-019-2422-6

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