The effect of active control imposed at the wall on optimal structures in wall turbulence is studied by using a linear transient growth model.When the detection plane of the control is located in the buffer layer,the influence of the control on the transient growth of large scale motion becomes negligible as Reynolds number increases.However,if the control signal is detected at the plane located in the logarithm region,the transient growth at large scale can be greatly suppressed.New peak values of transient growth resulting from the strong blowing and suction on the wall exist.The study indicates that a proper selection of control imposed on the wall can suppress the large scale motion in the logarithmic region.
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.