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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)
Article

Abstract

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 

Nomenclature

Di

viscous diffusion term of ith component of enstrophy

H

half channel width

p

static pressure

Pi,Pij

production terms of ith component of enstrophy

Re

Reynolds number

Ti

turbulent diffusion term of ith component of enstrophy

u

streamwise velocity

u′

fluctuating velocity in streamwise direction

Um

bulk mean velocity

υ′

fluctuating velocity in vertical direction

w′

fluctuating velocity in spanwise direction

x, x1

streamwise coordinate

y, x2

vertical coordinate

z, x3

spanwise coordinate

ɛi

dissipation term of ith component of enstrophy

ωi

ith component of vorticity vector

Chinese Library Classification

O357.5 

2010 Mathematics Subject Classification

74S25 

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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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