Applied Mathematics and Mechanics

, Volume 39, Issue 9, pp 1267–1276 | Cite as

Direct numerical simulation of turbulent flows through concentric annulus with circumferential oscillation of inner wall

  • Yichen Yao
  • Chunxiao XuEmail author
  • Weixi Huang


Periodic wall oscillations in the spanwise or circumferential direction can greatly reduce the friction drag in turbulent channel and pipe flows. In a concentric annulus, the constant rotation of the inner cylinder can intensify turbulence fluctuations and enhance skin friction due to centrifugal instabilities. In the present study, the effects of the periodic oscillation of the inner wall on turbulent flows through concentric annulus are investigated by the direct numerical simulation (DNS). The radius ratio of the inner to the outer cylinders is 0.1, and the Reynolds number is 2 225 based on the bulk mean velocity Um and the half annulus gap H. The influence of oscillation period is considered. It is found that for short-period oscillations, the Stokes layer formed by the circumferential wall movement can effectively inhibit the near-wall coherent motions and lead to skin friction reduction, while for long-period oscillations, the centrifugal instability has enough time to develop and generate new vortices, resulting in the enhancement of turbulence intensity and skin friction.

Key words

turbulence drag reduction circumferential oscillation Taylor vortex 

Chinese Library Classification


2010 Mathematics Subject Classification

76F75 76F70 76U05 


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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Engineering MechanicsTsinghua UniversityBeijingChina

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