Applied Mathematics and Mechanics

, Volume 34, Issue 2, pp 127–138 | Cite as

Transient response of enstrophy transport to opposition control in turbulent channel flow

  • Ming-wei Ge (葛铭纬)
  • Chun-xiao Xu (许春晓)Email author
  • Wei-xi Huang (黄伟希)
  • Gui-xiang Cui (崔桂香)


The transient response of the turbulent enstrophy transport to opposition control in the turbulent channel flow is studied with the aid of direct numerical simulation. It is found that the streamwise enstrophy and the spanwise enstrophy are suppressed by the attenuation of the stretching terms at first, while the vertical enstrophy is reduced by inhibiting the tilt of the mean shear. In the initial period of the control, the streamwise enstrophy evolves much slower than the other two components. The vertical vorticity component exhibits a rapid monotonic decrease and also plays an important role in the attenuation of the other two components.

Key words

enstrophy transport opposition control turbulent channel flow 



viscous diffusion term of ith component of enstrophy


half channel width


static pressure


production terms of ith component of enstrophy


Reynolds number


turbulent diffusion term of ith component of enstrophy


streamwise velocity


fluctuating velocity in streamwise direction


bulk mean velocity


fluctuating velocity in vertical direction


fluctuating velocity in spanwise direction

x, x1

streamwise coordinate

y, x2

vertical coordinate

z, x3

spanwise coordinate


dissipation term of ith component of enstrophy


ith component of vorticity vector

Chinese Library Classification


2010 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Ming-wei Ge (葛铭纬)
    • 1
    • 2
  • Chun-xiao Xu (许春晓)
    • 1
    Email author
  • Wei-xi Huang (黄伟希)
    • 1
  • Gui-xiang Cui (崔桂香)
    • 1
  1. 1.Key Laboratory of Applied Mechanics, Department of Engineering MechanicsTsinghua UniversityBeijingP. R. China
  2. 2.Guodian United Power Technology Company LimitedBeijingP. R. China

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