A linear state-space representation of plane Poiseuille flow for control design: a tutorial.
| dc.contributor.author | McKernan, John | - |
| dc.contributor.author | Papadakis, George | - |
| dc.contributor.author | Whidborne, James F. | - |
| dc.date.accessioned | 2011-11-16T23:02:17Z | |
| dc.date.available | 2011-11-16T23:02:17Z | |
| dc.date.issued | 2006-01-01T00:00:00Z | - |
| dc.description.abstract | A method for the incorporation of wall transpiration into a model of lin- earised plane Poiseuille °ow is presented, with the aim of producing a state- space model suitable for the development of feedback control of transition to turbulence in channel °ow. The system state is observed via wall shear-stress measurements and controlled by wall transpiration. The streamwise discretisation in the linearised model is by Fourier series, and the wall-normal discretisation is by a Chebyshev polynomial basis, which is modi¯ed to conform to the control boundary conditions. The paper is intended as a tutorial on the addition of boundary control to a spectral model of a °uid continuum, to form a state-space model, as used in the emerging multidisciplinary ¯eld of °ow control by means of MEMs (microelectrical machines). The ultimate aim of such °ow control is the reduction of skin-friction drag on moving | en_UK |
| dc.identifier.citation | John McKernan, George Papadakis, James F. Whidborne; A linear state-space representation of plane Poiseuille flow for control design: a tutorial. International Journal of Modelling, Identification and Control 2006 - Vol. 1, No.4 pp. 272 - 280 | - |
| dc.identifier.issn | 1746-6172 | - |
| dc.identifier.uri | http://dx.doi.org/10.1504/IJMIC.2006.012615 | - |
| dc.identifier.uri | http://dspace.lib.cranfield.ac.uk/handle/1826/1488 | |
| dc.publisher | Inderscience | en_UK |
| dc.subject | Flow control | en_UK |
| dc.subject | linear systems | en_UK |
| dc.subject | Poiseuille Flow | en_UK |
| dc.subject | state space | en_UK |
| dc.subject | Navier-Stokes equations | en_UK |
| dc.title | A linear state-space representation of plane Poiseuille flow for control design: a tutorial. | en_UK |
| dc.type | Article | - |