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.
Bibliographical noteFunding Information:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 10925210, 11002081 and 11132005).
- Active control
- Optimal structure
- Wall turbulence