Linear feedback control and estimation applied to instabilities in spatially developing boundary layers
Linear feedback control and estimation applied to instabilities in spatially developing boundary layers
复制标题
线性反馈控制和估计应用于空间发展边界层的不稳定性
DOI：
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发表时间：
2007
影响因子：
3.7
通讯作者：
D. Henningson
中科院分区：
文献类型：
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作者：
M. Chevalier;J. Hœpffner;Espen Åkervik;D. Henningson
本文介绍反馈控制在空间发展边界层中的应用。这是Högberg & Henningson（J. Fluid Mech. vol. 470，2002，p. 151）的自然后续，其中假设控制器精确了解整个流动状态。我们应用随机模型的外部干扰源，允许有效地使用几个壁测量的流量演变的估计：两个组件的表面摩擦和压力波动在墙上的最新发展。通过壁面测量估计了Falkner-Skan-Cooke边界层族的基流剖面的扰动。所估计的状态又被反馈用于控制，以减少扰动的动能。控制驱动是通过在壁面上的非定常吹吸来实现的。流动扰动在计算箱的上游区域产生，并在边界层中传播。在下游的一个薄条上提取测量值，然后在第二个薄条上执行致动。结果表明，流动扰动可以有效地估计和控制在空间上不断变化的边界层为广泛的基流和扰动。
This paper presents the application of feedback control to spatially developing boundary layers. It is the natural follow-up of Högberg & Henningson (J. Fluid Mech. vol. 470, 2002, p. 151), where exact knowledge of the entire flow state was assumed for the control. We apply recent developments in stochastic models for the external sources of disturbances that allow the efficient use of several wall measurements for estimation of the flow evolution: the two components of the skin friction and the pressure fluctuation at the wall. Perturbations to base flow profiles of the family of Falkner–Skan–Cooke boundary layers are estimated by use of wall measurements. The estimated state is in turn fed back for control in order to reduce the kinetic energy of the perturbations. The control actuation is achieved by means of unsteady blowing and suction at the wall. Flow perturbations are generated in the upstream region in the computational box and propagate in the boundary layer. Measurements are extracted downstream over a thin strip, followed by a second thin strip where the actuation is performed. It is shown that flow disturbances can be efficiently estimated and controlled in spatially evolving boundary layers for a wide range of base flows and disturbances.