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Applied Mathematics and Mechanics

, Volume 40, Issue 2, pp 185–192 | Cite as

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

  • Zhenhua XiaEmail author
  • Yipeng Shi
  • Qingdong Cai
  • Jie Gai
Article

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.

Key words

dissipation function spanwise rotation plane Poiseuille flow (PPF) plane Couette flow (PCF) 

Chinese Library Classification

O35 

2010 Mathematics Subject Classification

76E07 76F65 

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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Zhenhua Xia
    • 1
    Email author
  • Yipeng Shi
    • 2
  • Qingdong Cai
    • 2
  • Jie Gai
    • 3
  1. 1.Department of Engineering MechanicsZhejiang UniversityHangzhouChina
  2. 2.State Key Laboratory for Turbulence and Complex SystemsPeking UniversityBeijingChina
  3. 3.CRRC Changchun Railway Vehicles Co., Ltd.ChangchunChina

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