Relaminarization of Re-tau=100 turbulence using gain scheduling and linear state-feedback control

• The first successful application of linear full-state feedback optimal control theory to consistently relaminarize turbulent channel flow at Re-tau=100 with full state information and gain scheduling is reported. The actuation is zero-net mass-flux blowing and suction on the channel walls. Two key issues central to the success of this strategy are: (a) the choice of the mean-flow profile about which the equations are linearized for the computation of the linear feedback gains, and (b) the choice of an objective function which targets the control effort on the flow perturbations of interest. A range of mean-flow profiles between the laminar and fully turbulent profiles and a weighted energy measure which targets flow perturbations in the near-wall region were found to provide effective feedback gains. A gain-scheduling strategy to tune the feedback gains to the nonstationary mean-flow profile is introduced, resulting in consistent relaminarization of the turbulent flow in all realizations tested.

Nyckelord

poiseuille flow

drag reduction

active control

channel flow

transition

systems

wall

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ref (ämneskategori)

art (ämneskategori)