A linear state-space representation of plane Poiseuille flow for control design: a tutorial

被引：13
|
作者：
McKernan, John [1 ]
Papadakis, George [2 ]
Whidborne, James F. [1 ]
机构：
[1] Cranfield Univ, Dept Aerosp Sci, Cranfield MK43 0AL, Beds, England
[2] Kings Coll London, Dept Mech Engn, London WC2R 2LS, England
来源：
INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL | 2006年 / 1卷 / 04期
关键词：
flow control; linear systems; Poiseuille flow; state space; Navier-Stokes equations;
D O I：
10.1504/IJMIC.2006.012615
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A method for the incorporation of wall transpiration into a model of linearised plane Poiseuille flow is presented, with the aim of producing a state-space model suitable for the development of feedback control of transition to turbulence in channel flow. 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 modified to conform to the control boundary conditions. This paper is intended as a tutorial on the addition of boundary control to a spectral model of a fluid continuum, to form a state-space model, as used in the emerging multidisciplinary field of flow control by means of Microelectrical Machines (MEMs). The ultimate aim of such flow control is the reduction of skin-friction drag on moving bodies.
引用
收藏
页码：272 / 280
页数：9
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