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Transition control of the Blasius boundary layer using passivity

Transition control of the Blasius boundary layer using passivity Abstract The control problem for linearised three-dimensional perturbations about a nominal laminar boundary layer over a flat plate (the Blasius profile) is considered. With a view to preventing the laminar to turbulent transition, appropriate inputs, outputs, and feedback controllers are synthesised that can be used to stabilise the system. The linearised Navier–Stokes equations are reduced to the Orr–Sommerfeld and Squire equations with wall-normal velocity actuation entering through the boundary conditions on the wall. An analysis of the work-energy balance is used to identify an appropriate sensor output that leads to a passive system for certain values of the streamwise and spanwise wavenumbers. Even when the system is unstable, it is demonstrated that strictly positive real feedback can stabilise this system using the special output. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Aerospace Systems" Springer Journals

Transition control of the Blasius boundary layer using passivity

Damaren, Christopher J.
"Aerospace Systems" , Volume 2 (1): 11 – Aug 1, 2019
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Publisher
Springer Journals
Copyright
2018 Shanghai Jiao Tong University
ISSN
2523-3947
eISSN
2523-3955
DOI
10.1007/s42401-018-0021-0
Publisher site
See Article on Publisher Site

Abstract

Abstract The control problem for linearised three-dimensional perturbations about a nominal laminar boundary layer over a flat plate (the Blasius profile) is considered. With a view to preventing the laminar to turbulent transition, appropriate inputs, outputs, and feedback controllers are synthesised that can be used to stabilise the system. The linearised Navier–Stokes equations are reduced to the Orr–Sommerfeld and Squire equations with wall-normal velocity actuation entering through the boundary conditions on the wall. An analysis of the work-energy balance is used to identify an appropriate sensor output that leads to a passive system for certain values of the streamwise and spanwise wavenumbers. Even when the system is unstable, it is demonstrated that strictly positive real feedback can stabilise this system using the special output.

Journal

"Aerospace Systems" – Springer Journals

Published: Aug 1, 2019

Keywords: Aerospace Technology and Astronautics; Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)

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