Minimizing transient energy growth in plane Poiseuille flow
| dc.contributor.author | Whidborne, James F. | - |
| dc.contributor.author | McKernan, John | - |
| dc.contributor.author | Papadakis, George | - |
| dc.date.accessioned | 2011-09-29T17:07:23Z | |
| dc.date.available | 2011-09-29T17:07:23Z | |
| dc.date.issued | 2008-01-01T00:00:00Z | - |
| dc.description.abstract | The feedback control of laminar plane Poiseuille flow is considered. In common with many flows, the dynamics of plane Poiseuille flow is very non-normal. Consequently, small perturbations grow rapidly with a large transient that may trigger non-linearities and lead to turbulence, even though such perturbations would, in a linear flow, eventually decay. This sensitivity can be measured using the maximum transient energy growth. The linearized flow equations are discretized using spectral methods and then considered at one wave-number pair in order to obtain a model of the flow dynamics in a form suitable for advanced control design. State feedback controllers that minimize an upper bound on the maximum transient energy growth are obtained by the repeated solution of a set of linear matrix inequalities. The controllers are tested using a full Navier–Stokes solver, and the transient energy response magnitudes are significantly reduced compared with the uncontrolled cas | en_UK |
| dc.identifier.citation | J F Whidborne, J McKernan, G Papadakis; Minimizing transient energy growth in plane Poiseuille flow. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, Special issue on Flow Control, 2008, Volume 222, Number 5 / 323-331 | - |
| dc.identifier.issn | 0959-6518 | - |
| dc.identifier.uri | http://dx.doi.org/10.1243/09596518JSCE493 | - |
| dc.identifier.uri | http://dspace.lib.cranfield.ac.uk/handle/1826/3339 | |
| dc.language.iso | en_UK | - |
| dc.publisher | Professional Engineering Publishing | en_UK |
| dc.subject | flow control | en_UK |
| dc.subject | transient energy growth | en_UK |
| dc.subject | linear matrix inequality (LMI) | en_UK |
| dc.subject | Navier–Stokes | en_UK |
| dc.subject | plane Poiseuille flow | en_UK |
| dc.title | Minimizing transient energy growth in plane Poiseuille flow | en_UK |
| dc.type | Article | - |