Title :
Optimal boundary control of nonsteady incompressible flow with an application to viscous drag reduction
Author :
Svobodny, T.P. ; Gunzburger, M.D. ; Hou, L.S.
Author_Institution :
Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA
Abstract :
The objective of this study is to characterize the boundary velocity distribution that in some sense gives the lowest viscous drag for viscous, incompressible flows. The case is considered where the control is explicitly constrained. Necessary conditions are presented for optimal controls for the Navier-Stokes equations in a bounded region. An application to reducing viscous drag by blowing and suction is discussed. The first part of the study considers static control; the second part is concerned with time-varying optimal controls
Keywords :
Navier-Stokes equations; boundary layers; distributed parameter systems; drag reduction; flow instability; optimal control; time-varying systems; viscosity; Navier-Stokes equations; blowing; boundary control; boundary layers; boundary velocity distribution; bounded region; distributed parameter systems; flow instability; nonsteady incompressible flow; optimal controls; static control; suction; time-varying optimal controls; viscous drag reduction; Boundary conditions; Drag; Lagrangian functions; Mathematics; Navier-Stokes equations; Optimal control; Statistical distributions;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203619
