A successful application of a linear controller to a two-dimensional channel flow is presented. An optimal and robust reduced-order linear feedback controller is derived by using multi-variable linear-quadratic-Gaussian synthesis, or, in modern term, ℋ2 synthesis, combined with model reduction techniques. This controller based on a reduced-model of the linearized Navier-Stokes equations is applied to suppress finite-amplitude near-wall disturbances in a channel flow at Re = 1500. The controller efficiently reduced near-wall disturbances obtaining a substantial drag reduction and eventually the flow is relaminarized.

Skin-friction drag reduction via robust reduced-order linear feedback control

CORTELEZZI, LUCA;
1998

Abstract

A successful application of a linear controller to a two-dimensional channel flow is presented. An optimal and robust reduced-order linear feedback controller is derived by using multi-variable linear-quadratic-Gaussian synthesis, or, in modern term, ℋ2 synthesis, combined with model reduction techniques. This controller based on a reduced-model of the linearized Navier-Stokes equations is applied to suppress finite-amplitude near-wall disturbances in a channel flow at Re = 1500. The controller efficiently reduced near-wall disturbances obtaining a substantial drag reduction and eventually the flow is relaminarized.
Drag reduction; Model reduction; Robust feedback flow control; Shear flows; Skin-friction; Mechanics of Materials; Computational Mechanics; Condensed Matter Physics
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/998223
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