Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (8): 1159-1170.doi: https://doi.org/10.1007/s10483-017-2226-9

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Response of turbulent enstrophy to sudden implementation of spanwise wall oscillation in channel flow

Mingwei GE1, Guodong JIN2   

  1. 1. School of Renewable Energy, North China Electric Power University, Beijing 102206, China;
    2. State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2016-10-03 Revised:2016-12-21 Online:2017-08-01 Published:2017-08-01
  • Contact: Mingwei GE E-mail:gmwncepu@163.com
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Nos. 11402088 and 51376062), the Opening Fund of State Key Laboratory of Nonlinear Mechanics, and the Fundamental Research Funds for the Central Universities (No. 2107MS022)

Abstract:

The response of turbulent enstrophy to a sudden implementation of spanwise wall oscillation (SWO) is studied in a turbulent channel flow via direct numerical simulation. In the beginning of the application of SWO, a significant correlation is formed between ω'y and ω'z. A transient growth of turbulent enstrophy occurs, which directly enhances turbulent dissipation and drifts the turbulent flow towards a new lower-drag condition. Afterwards, the terms related to the stretching of vorticity (ωx, ω'y, and ωz), the inclination of ω'y by ∂w/∂y, the turn of ωz by ∂v'/∂z, and the horizontal shear of ωz by ∂w'/∂x are suppressed due to the presence of SWO, leading to attenuation of the turbulent enstrophy.

Key words: anisotropic media, SH-wave, displacement amplitude, canyon topography with lining, drag reduction, turbulent channel flow, transport of enstrophy, spanwise wall oscillation (SWO)

2010 MSC Number: 

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