Nonlinear dynamics and control of three-dimensional separated flows /

Our objective in this project was to derive a mathematically exact theory of unsteady fluid flow separation. We have obtained analytic formulae for the location and shape of separation profiles in terms of measurable, wall-based physical quantities. These formulae can now be used to design feedback controllers that alter, destroy, or create separation. Our main achievements are as follows: (1) We have developed a mathematical theory of unsteady three-dimensional separation for flows with a steady mean component. (2) We have developed a theory of moving unsteady separation for flows with a time-varying mean component. (3) We have developed a theory of separation for two-dimensional flows with a slip boundary ((1)-(3) above cover no-slip boundaries) (4) We also conducted experiments to prove existence of a new three-dimensional separation pattern (separation along a limit cycle of the wall shear field) first predicted by our 3D steady separation theory.Photocopy."February 28, 2009.""Final Report : January 1, 2006 -- November 31, 2008."Includes bibliograpic references (page 5).Our objective in this project was to derive a mathematically exact theory of unsteady fluid flow separation. We have obtained analytic formulae for the location and shape of separation profiles in terms of measurable, wall-based physical quantities. These formulae can now be used to design feedback controllers that alter, destroy, or create separation. Our main achievements are as follows: (1) We have developed a mathematical theory of unsteady three-dimensional separation for flows with a steady mean component. (2) We have developed a theory of moving unsteady separation for flows with a time-varying mean component. (3) We have developed a theory of separation for two-dimensional flows with a slip boundary ((1)-(3) above cover no-slip boundaries) (4) We also conducted experiments to prove existence of a new three-dimensional separation pattern (separation along a limit cycle of the wall shear field) first predicted by our 3D steady separation theory.Report prepared by Department of Mechanical Engineering, MIT, Cambridge, Massachusetts, under contract no.Mode of access: Internet