NDLI: Optimal state feedback control of streaks and görtler vortices induced by free-stream vortical disturbances

Content Provider	IEEE Xplore Digital Library
Author	Liang Lu Agostini, L. Ricco, P. Papadakis, G.
Copyright Year	2014
Description	Author affiliation: Dept. of Mech. Eng., Univ. of Sheffield, Sheffield, UK (Ricco, P.) \|\| Dept. of Aeronaut., Imperial Coll. London, London, UK (Liang Lu; Agostini, L.; Papadakis, G.)
Abstract	A framework for active wall-transpiration control of spatially developing, pre-transitional, boundary-layer flows over flat and concave walls (in the streamwise direction) is developed. The controller is designed to suppress the energy growth of streaks and Görtler vortices (with emphasis on the latter) induced by free-stream vortical disturbances within an incompressible boundary layer. The control framework uses the primitive variables, velocity and pressure. The flow model is based on the linearised unsteady boundary-region (LUBR) equations, which are the rigorous asymptotic form of the Navier-Stokes equations in the limit of low frequency and long-streamwise wavelength. At a particular wavenumber, the effect of free-stream turbulence appears as explicit forcing of these equations which is obtained by asymptotic matching with the far field conditions. An optimal control problem that accounts for this explicit forcing is formulated and solved. The objective cost function that is minimised comprises the weighted energy of the streaks/Cortler vortices and of the actuation. Results show the effectiveness of the developed control approach.
Starting Page	214
Ending Page	219
File Size	810716
Page Count	6
File Format	PDF
ISBN	9781479950119
DOI	10.1109/CONTROL.2014.6915142
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-07-09
Publisher Place	UK
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	State feedback Optimal control Boundary conditions Vectors Mathematical model Equations Navier-Stokes equations
Content Type	Text
Resource Type	Article

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